How many times can I take the AFOQT?

You can take the AFOQT twice, with at least 90 days between administrations. A third attempt is allowed only with an approved waiver, and your scores are superscored — your best composite score across attempts becomes your score of record. Form T scores do not expire, so a qualifying score stays valid.

How many questions are on the AFOQT and how long is it?

The AFOQT (Form T) has 12 subtests with 516 multiple-choice questions in total, and the full appointment runs about five hours including breaks (roughly three and a half hours of timed aptitude testing). Each subtest is separately timed, so pacing matters as much as knowledge.

What scores do I need to pass the AFOQT?

There is no overall passing score, but common minimums apply: most officer applicants need at least Verbal 15 and Quantitative 10, pilot applicants typically need Pilot 25 and CSO 10, and CSO applicants typically need CSO 25. Verify the current minimums for your program with your detachment or recruiter, as requirements can change.

What is the best way to study for the AFOQT?

Because the AFOQT is broad and tightly timed across 12 subtests, the most effective preparation is repeated full-length, subtest-weighted practice under timed conditions, with extra reps on the aviation and spatial subtests if you are pursuing a rated career. Read every explanation to learn the reasoning, and reinforce weak areas with a study guide, flashcards, and a cheat sheet.

Your FREE Air Force Officer Qualifying Test (AFOQT) Practice Test 2026 – 630+ Q&A

Q: Is there a fee to take the AFOQT?

No. The AFOQT is free to take — there is no fee charged to the candidate. It is administered for the U.S. Air Force at Pearson VUE test centers, and you schedule it using a voucher provided by your Air Force ROTC detachment, recruiter, or test control officer. Because it is a military qualification test, the cost is covered by the Air Force rather than paid out of pocket.

Q: What subtests are on the AFOQT?

The 12 AFOQT subtests are Verbal Analogies, Arithmetic Reasoning, Word Knowledge, Math Knowledge, Reading Comprehension, Situational Judgment, Self-Description Inventory, Physical Science, Table Reading, Instrument Comprehension, Block Counting, and Aviation Information. Together they measure verbal, quantitative, spatial, and aviation aptitude used to predict success in Air Force training.

Q: How is the AFOQT scored?

Subtest scores combine into six composite scores — Pilot, Combat Systems Officer (CSO), Air Battle Manager, Academic Aptitude, Verbal, and Quantitative — each reported as a percentile from 1 to 99. There is no single pass/fail score; instead, your percentiles are compared against the minimums for the path you are pursuing.

Q: Who administers the AFOQT and where do I take it?

The AFOQT is administered for the U.S. Air Force at Pearson VUE test centers. You receive a scheduling voucher from your Air Force ROTC detachment, Air Force recruiter, or test control officer, then book a seat at an authorized center. Bring a valid government-issued photo ID that matches your registration.

Prepare with realistic, Air Force Officer Qualifying Test-style questions — take a full AFOQT practice test or drill one subtest at a time.

How ready are you?

AFOQT Practice Questions

PETAL is to FLOWER as PAGE is to
- Book
- Ink
- Library
- Author
Correct answer: Book
The answer is book. A petal is one part of a whole flower, so the matching part-to-whole pair is a page being one part of a whole book. Ink is a material used on a page, a library stores books, and an author writes them rather than being the whole a page belongs to.
HUMID is to ARID as ABUNDANT is to
- Ample
- Generous
- Moist
- Scarce
Correct answer: Scarce
The answer is scarce. Humid and arid are opposites describing moisture, so the missing word must be the opposite of abundant, which is scarce. Ample and generous are synonyms of abundant, and moist relates to humidity rather than quantity.
THERMOMETER is to TEMPERATURE as SCALE is to
- Doctor
- Height
- Weight
- Balance
Correct answer: Weight
The answer is weight. A thermometer measures temperature, so the analogy needs what a scale measures, which is weight. A doctor uses the tool, height is measured by a different instrument, and balance describes how a scale works rather than what it measures.
TIMID is to BOLD as SHALLOW is to
- Deep
- Wide
- Low
- Narrow
Correct answer: Deep
The answer is deep. Timid and bold are opposites, so the missing word must be the opposite of shallow, which is deep. Wide and narrow describe horizontal extent, and low describes height rather than depth.
LION is to PRIDE as WOLF is to
- Pack
- Den
- Howl
- Forest
Correct answer: Pack
The answer is pack. A group of lions is called a pride, so the matching group-name pair is a group of wolves being called a pack. A den is a home, a howl is a sound, and a forest is a habitat rather than the group term.
SCISSORS is to CUT as BROOM is to
- Handle
- Floor
- Dust
- Sweep
Correct answer: Sweep
The answer is sweep. The function of scissors is to cut, so the analogy needs the function of a broom, which is to sweep. A handle is a part, dust is what is removed, and a floor is the surface acted on rather than the action.
SPARK is to FLAME as SEED is to
- Soil
- Garden
- Root
- Plant
Correct answer: Plant
The answer is plant. A spark grows into a flame, so the matching small-to-developed pair is a seed growing into a plant. Soil and a garden are the surroundings, and a root is one part of a plant rather than what the seed becomes.
GENEROUS is to STINGY as HUMBLE is to
- Modest
- Quiet
- Shy
- Arrogant
Correct answer: Arrogant
The answer is arrogant. Generous and stingy are opposites, so the missing word must be the opposite of humble, which is arrogant. Modest is a synonym of humble, and shy and quiet describe unrelated traits.
PILOT is to COCKPIT as CONDUCTOR is to
- Baton
- Orchestra
- Podium
- Music
Correct answer: Podium
The answer is podium. A pilot operates from the cockpit, so the matching operator-and-station pair is a conductor leading from the podium. A baton is a tool, an orchestra is the group led, and music is the output rather than the station.
EXPAND is to CONTRACT as ASCEND is to
- Rise
- Soar
- Climb
- Descend
Correct answer: Descend
The answer is descend. Expand and contract are opposites, so the missing word must be the opposite of ascend, which is descend. Rise, climb, and soar all mean to go up like ascend rather than down.
AUTHOR is to NOVEL as COMPOSER is to
- Symphony
- Piano
- Orchestra
- Concert
Correct answer: Symphony
The answer is symphony. An author creates a novel, so the matching creator-and-work pair is a composer creating a symphony. A piano is an instrument, an orchestra performs the work, and a concert is the event rather than the work created.
FRICTION is to HEAT as EXERCISE is to
- Rest
- Gym
- Muscle
- Fatigue
Correct answer: Fatigue
The answer is fatigue. Friction produces heat, so this cause-and-effect link is matched by exercise producing fatigue. Rest is the opposite, a muscle is what is worked, and a gym is the location rather than the result.
KEYBOARD is to COMPUTER as STEERING WHEEL is to
- Road
- Driver
- Car
- Engine
Correct answer: Car
The answer is car. A keyboard is an input part of a computer, so the matching control-part pair is a steering wheel being a control part of a car. A road is where it travels, a driver operates it, and an engine is a different component rather than the whole.
WEARY is to RESTED as FAMISHED is to
- Hungry
- Tired
- Thirsty
- Full
Correct answer: Full
The answer is full. Weary and rested are opposites, so the missing word must be the opposite of famished, which is full. Hungry is a synonym of famished, and thirsty and tired describe different conditions.
CHAPTER is to BOOK as ACT is to
- Scene
- Stage
- Play
- Actor
Correct answer: Play
The answer is play. A chapter is a major division of a book, so the matching part-to-whole pair is an act being a major division of a play. A scene is a smaller part, a stage is the setting, and an actor performs rather than being the whole.
CLOCK is to TIME as ODOMETER is to
- Speed
- Engine
- Fuel
- Distance
Correct answer: Distance
The answer is distance. A clock measures time, so the analogy needs what an odometer measures, which is distance. Speed is shown by a speedometer, fuel by a gauge, and an engine is a part of the vehicle rather than a measured quantity.
PRAISE is to CRITICIZE as ACCEPT is to
- Approve
- Welcome
- Reject
- Receive
Correct answer: Reject
The answer is reject. Praise and criticize are opposites, so the missing word must be the opposite of accept, which is reject. Approve, welcome, and receive all mean to accept rather than to turn away.
BEE is to HONEY as COW is to
- Barn
- Calf
- Grass
- Milk
Correct answer: Milk
The answer is milk. A bee produces honey, so the matching producer-and-product pair is a cow producing milk. A barn is a shelter, grass is food, and a calf is offspring rather than the product made.
WRINKLE is to SMOOTH as TANGLE is to
- Knot
- Twist
- Straighten
- Weave
Correct answer: Straighten
The answer is straighten. Wrinkle and smooth are opposites, so the action opposite to tangle is straighten. A knot and a twist create tangles, and weave describes interlacing rather than undoing.
TROUT is to FISH as SPARROW is to
- Nest
- Feather
- Bird
- Wing
Correct answer: Bird
The answer is bird. A trout is a type of fish, so the matching member-to-category pair is a sparrow being a type of bird. A nest is a home, and a feather and a wing are body parts rather than the broader category.
PEN is to WRITE as KNIFE is to
- Blade
- Kitchen
- Handle
- Cut
Correct answer: Cut
The answer is cut. The function of a pen is to write, so the analogy needs the function of a knife, which is to cut. A blade and a handle are parts, and a kitchen is where it is used rather than its action.
VICTORY is to DEFEAT as ARRIVAL is to
- Journey
- Delay
- Destination
- Departure
Correct answer: Departure
The answer is departure. Victory and defeat are opposites, so the missing word must be the opposite of arrival, which is departure. A journey is the travel between them, a destination is where one arrives, and a delay is a setback rather than the opposite event.
ROOT is to TREE as FOUNDATION is to
- Building
- Concrete
- Wall
- Ground
Correct answer: Building
The answer is building. A root anchors and supports a tree, so the matching supporting-base pair is a foundation supporting a building. Concrete is a material, a wall is a different part, and the ground is what the foundation rests in rather than what it supports.
FERTILE is to BARREN as FLEXIBLE is to
- Supple
- Elastic
- Rigid
- Bendable
Correct answer: Rigid
The answer is rigid. Fertile and barren are opposites, so the missing word must be the opposite of flexible, which is rigid. Supple, elastic, and bendable all mean flexible rather than its reverse.
LIBRARIAN is to BOOKS as PHARMACIST is to
- Medicine
- Patient
- Counter
- Doctor
Correct answer: Medicine
The answer is medicine. A librarian manages and dispenses books, so the matching specialist-and-stock pair is a pharmacist managing and dispensing medicine. A patient receives it, a counter is furniture, and a doctor prescribes rather than dispensing.
OVERHEAT is to BREAKDOWN as NEGLECT is to
- Repair
- Attention
- Care
- Ruin
Correct answer: Ruin
The answer is ruin. Overheating leads to breakdown, so this cause-and-effect link is matched by neglect leading to ruin. Repair fixes damage, and care and attention are the opposite of neglect rather than its result.
HINGE is to DOOR as ELBOW is to
- Bone
- Muscle
- Joint
- Arm
Correct answer: Arm
The answer is arm. A hinge is the bending joint of a door, so the matching joint-and-whole pair is an elbow being the bending joint of an arm. A bone and a muscle are tissues, and a joint is the general category rather than the specific whole.
BRAVE is to COWARDLY as CRUEL is to
- Harsh
- Kind
- Mean
- Strict
Correct answer: Kind
The answer is kind. Brave and cowardly are opposites, so the missing word must be the opposite of cruel, which is kind. Harsh and mean are synonyms of cruel, and strict describes firmness rather than the opposite.
INK is to PEN as LEAD is to
- Eraser
- Pencil
- Paper
- Writer
Correct answer: Pencil
The answer is pencil. Ink is the marking material held inside a pen, so the matching material-and-tool pair is lead being the marking material inside a pencil. An eraser removes marks, paper receives them, and a writer uses the tool rather than holding the material.
VENTILATE is to AIR as IRRIGATE is to
- Water
- Soil
- Crop
- Field
Correct answer: Water
The answer is water. To ventilate is to supply fresh air, so the analogy needs what irrigating supplies, which is water. Soil and a field are where the water goes, and a crop is what benefits rather than what is supplied.
SUMMIT is to BASE as CEILING is to
- Wall
- Floor
- Roof
- Room
Correct answer: Floor
The answer is floor. A summit and a base are the top and bottom of a mountain, so the matching top-and-bottom pair is a ceiling and a floor of a room. A wall is a side, a roof is the outer top, and a room is the whole space rather than its bottom.
FLUENT is to HALTING as STEADY is to
- Constant
- Firm
- Wobbly
- Even
Correct answer: Wobbly
The answer is wobbly. Fluent and halting are opposites, so the missing word must be the opposite of steady, which is wobbly. Constant, firm, and even all mean steady rather than unstable.
WHISTLE is to REFEREE as BATON is to
- Runner
- Conductor
- Stage
- Song
Correct answer: Conductor
The answer is conductor. A whistle is the signaling tool of a referee, so the matching tool-and-user pair is a baton being the tool of a conductor. A runner carries a relay baton differently, a stage is a setting, and a song is the output rather than the user.
SPENDING is to DEBT as SAVING is to
- Loss
- Wealth
- Expense
- Interest
Correct answer: Wealth
The answer is wealth. Spending leads to debt, so the matching cause-and-effect pair is saving leading to wealth. A loss is a decline, an expense is a cost, and interest is a charge rather than the result of saving.
BUD is to BLOSSOM as TADPOLE is to
- Pond
- Frog
- Egg
- Tail
Correct answer: Frog
The answer is frog. A bud develops into a blossom, so the matching developmental pair is a tadpole developing into a frog. A pond is the habitat, an egg is an earlier stage, and a tail is a body part rather than the mature form.
LEGIBLE is to ILLEGIBLE as AUDIBLE is to
- Loud
- Inaudible
- Clear
- Noisy
Correct answer: Inaudible
The answer is inaudible. Legible and illegible are opposites of being readable, so the missing word must be the opposite of audible, which is inaudible. Loud, clear, and noisy describe sound that can be heard rather than the opposite.
GILL is to FISH as LUNG is to
- Mammal
- Air
- Breath
- Chest
Correct answer: Mammal
The answer is mammal. A gill is the breathing organ of a fish, so the matching organ-and-creature pair is a lung being the breathing organ of a mammal. Air is what is breathed, a breath is the action, and a chest is where the lung sits rather than the creature.
STUDY is to KNOWLEDGE as PRACTICE is to
- Effort
- Skill
- Coach
- Repetition
Correct answer: Skill
The answer is skill. Study produces knowledge, so this cause-and-effect link is matched by practice producing skill. Effort is the input, repetition is a method, and a coach is a guide rather than the result gained.
ARCHIPELAGO is to ISLANDS as CONSTELLATION is to
- Stars
- Sky
- Galaxy
- Telescope
Correct answer: Stars
The answer is stars. An archipelago is a group made up of islands, so the matching group-and-member pair is a constellation being a group made up of stars. The sky and a galaxy are larger settings, and a telescope is an instrument rather than the members of the group.
DILUTE is to CONCENTRATE as WEAKEN is to
- Soften
- Reduce
- Strengthen
- Lessen
Correct answer: Strengthen
The answer is strengthen. Dilute and concentrate are opposites, so the missing word must be the opposite of weaken, which is strengthen. Soften, reduce, and lessen all mean to weaken rather than to make stronger.
CHEF is to KITCHEN as MECHANIC is to
- Wrench
- Garage
- Engine
- Car
Correct answer: Garage
The answer is garage. A chef works in a kitchen, so the matching worker-and-workplace pair is a mechanic working in a garage. A wrench is a tool, an engine is what is repaired, and a car is the object worked on rather than the workplace.
FOSSIL is to BONE as ARTIFACT is to
- Museum
- Tool
- Dig
- History
Correct answer: Tool
The answer is tool. A fossil is a preserved bone studied from the past, so the matching preserved-object pair is an artifact such as a tool left by earlier people. A museum displays it, a dig uncovers it, and history is the broader subject rather than the object.
EXAGGERATE is to UNDERSTATE as INFLATE is to
- Expand
- Stretch
- Deflate
- Swell
Correct answer: Deflate
The answer is deflate. Exaggerate and understate are opposites, so the missing word must be the opposite of inflate, which is deflate. Expand, stretch, and swell all mean to inflate rather than to shrink.
COMPASS is to DIRECTION as RULER is to
- Length
- Line
- Paper
- Shape
Correct answer: Length
The answer is length. A compass is used to find direction, so the analogy needs what a ruler is used to measure, which is length. A line is drawn with it, paper is the surface, and a shape is what may be drawn rather than what is measured.
SPOKE is to WHEEL as RUNG is to
- Step
- Ladder
- Climb
- Height
Correct answer: Ladder
The answer is ladder. A spoke is a structural bar within a wheel, so the matching part-to-whole pair is a rung being a structural bar within a ladder. A step is a synonym for rung rather than the whole, climbing is the action, and height is a result.
PERMANENT is to TEMPORARY as ETERNAL is to
- Lasting
- Endless
- Fleeting
- Constant
Correct answer: Fleeting
The answer is fleeting. Permanent and temporary are opposites, so the missing word must be the opposite of eternal, which is fleeting. Lasting, endless, and constant all mean eternal rather than short-lived.
TREMOR is to EARTHQUAKE as DRIZZLE is to
- Cloud
- Downpour
- Umbrella
- Puddle
Correct answer: Downpour
The answer is downpour. A tremor is a mild version of an earthquake, so the matching mild-to-intense pair is a drizzle being a mild version of a downpour. A cloud produces rain, an umbrella shields from it, and a puddle is a result rather than the intense form.
MARINER is to SEA as AVIATOR is to
- Runway
- Sky
- Airplane
- Airport
Correct answer: Sky
The answer is sky. A mariner travels across the sea, so the matching traveler-and-domain pair is an aviator traveling through the sky. A runway and an airport are ground locations, and an airplane is the vehicle rather than the domain traveled.
STITCH is to TAILOR as WELD is to
- Metal
- Torch
- Welder
- Spark
Correct answer: Welder
The answer is welder. Stitching is the joining technique used by a tailor, so the matching technique-and-worker pair is welding being the technique used by a welder. Metal is the material, a torch is the tool, and a spark is a byproduct rather than the worker.
CONFINE is to RELEASE as CAPTURE is to
- Trap
- Free
- Seize
- Hold
Correct answer: Free
The answer is free. Confine and release are opposites, so the missing word must be the opposite of capture, which is to free. Trap, seize, and hold all mean to capture rather than to let go.
CALENDAR is to DATE as MAP is to
- Country
- Location
- Travel
- Compass
Correct answer: Location
The answer is location. A calendar is used to find a date, so the analogy needs what a map is used to find, which is a location. A country is one thing shown, travel is the activity, and a compass is a separate tool rather than what the map identifies.
LULLABY is to SLEEP as ALARM is to
- Clock
- Morning
- Wakefulness
- Noise
Correct answer: Wakefulness
The answer is wakefulness. A lullaby brings on sleep, so this cause-and-effect link is matched by an alarm bringing on wakefulness. A clock holds the alarm, morning is the time, and noise is the means rather than the resulting state.
TRANSPARENT is to OPAQUE as VISIBLE is to
- Clear
- Hidden
- Obvious
- Bright
Correct answer: Hidden
The answer is hidden. Transparent and opaque are opposites of letting light through, so the missing word must be the opposite of visible, which is hidden. Clear, obvious, and bright all relate to being visible rather than concealed.
TEACHER is to STUDENT as COACH is to
- Athlete
- Whistle
- Field
- Team
Correct answer: Athlete
The answer is athlete. A teacher instructs a student, so the matching instructor-and-learner pair is a coach instructing an athlete. A whistle is a tool, a field is a setting, and a team is a group rather than the individual being trained.
PROLOGUE is to STORY as OVERTURE is to
- Stage
- Opera
- Singer
- Intermission
Correct answer: Opera
The answer is opera. A prologue is the opening section of a story, so the matching opening-and-whole pair is an overture being the opening section of an opera. A stage is the setting, a singer performs, and an intermission is a break rather than the whole work it opens.
FUEL is to FIRE as RAIN is to
- Cloud
- Flood
- Drought
- Umbrella
Correct answer: Flood
The answer is flood. Adding fuel makes a fire grow, so the matching cause-and-effect pair is heavy rain causing a flood. A cloud produces rain, a drought is the opposite, and an umbrella shields from rain rather than being its result.
BRIEF is to LENGTHY as CONCISE is to
- Short
- Compact
- Wordy
- Terse
Correct answer: Wordy
The answer is wordy. Brief and lengthy are opposites, so the missing word must be the opposite of concise, which is wordy. Short, compact, and terse are all similar to concise rather than its reverse.
MASON is to STONE as GLAZIER is to
- Window
- Frame
- Putty
- Glass
Correct answer: Glass
The answer is glass. A mason works with stone, so the matching craftsman-and-material pair is a glazier working with glass. A window is the finished installation, a frame holds the pane, and putty seals it rather than being the main material.
In steady, straight-and-level unaccelerated flight, which pairing of the four forces of flight is in balance?
- Lift balances weight, and thrust balances drag
- Lift balances thrust, and weight balances drag
- Lift balances drag, and thrust balances weight
- Thrust balances weight, and lift balances drag
Correct answer: Lift balances weight, and thrust balances drag
Lift balances weight, and thrust balances drag is correct. In level unaccelerated flight the upward lift equals the downward weight while the forward thrust equals the rearward drag, so the airplane neither climbs, descends, nor changes speed. The other pairings mismatch forces that act along different axes.
Which of the four forces of flight is the only one produced directly by the airplane's engine and propeller (or jet exhaust)?
- Lift
- Thrust
- Drag
- Weight
Correct answer: Thrust
Thrust is correct. Thrust is the forward-acting force generated by the powerplant (propeller or jet) to overcome drag and accelerate the aircraft. Lift comes from the wings, drag is air resistance, and weight is the pull of gravity.
As an airplane burns fuel during a long flight, the weight force acting on it gradually:
- Stays exactly the same throughout the flight
- Increases, so more lift is required to maintain level flight
- Decreases, so less lift is required to maintain level flight
- Becomes zero once cruise altitude is reached
Correct answer: Decreases, so less lift is required to maintain level flight
The weight decreases, requiring less lift, is correct. Fuel has mass, so burning it reduces total aircraft weight; because lift must equal weight in level flight, the lift required also drops. Weight never reaches zero in normal flight.
Aerodynamic drag on an airplane acts in which direction relative to the aircraft's flight path?
- Forward along the flight path, aiding thrust
- Straight down toward the center of the earth
- Perpendicular to and upward from the wing
- Parallel to the flight path and opposite to the direction of motion
Correct answer: Parallel to the flight path and opposite to the direction of motion
Parallel to the flight path and opposite to motion is correct. Drag is the resistance of the air that acts rearward along the flight path, directly opposing thrust. Weight acts downward and lift acts perpendicular to the relative wind.
During a steady climb at constant airspeed, why must thrust exceed the value needed for level flight?
- Thrust must overcome drag plus a rearward component of weight along the climb path
- Lift must become greater than weight to climb
- Drag disappears entirely once the airplane begins climbing
- Weight acts forward during a climb and must be balanced
Correct answer: Thrust must overcome drag plus a rearward component of weight along the climb path
Thrust must overcome drag plus a rearward weight component is correct. In a climb the flight path is inclined, so part of the weight acts backward along that path; thrust must counter both drag and that weight component. Lift is actually slightly less than weight in a steady climb.
Rotation of an airplane about its longitudinal axis is known as:
- Pitch
- Roll
- Yaw
- Trim
Correct answer: Roll
Roll is correct. The longitudinal axis runs nose to tail, and rotation about it (one wing up, one wing down) is roll. Pitch is about the lateral axis and yaw is about the vertical axis.
The lateral axis of an airplane runs from wingtip to wingtip. Motion about this axis is called:
- Yaw
- Roll
- Pitch
- Bank
Correct answer: Pitch
Pitch is correct. The lateral axis runs wingtip to wingtip, and nose-up or nose-down rotation about it is pitch. Roll is about the longitudinal axis; yaw is about the vertical axis.
A pilot steps on the left rudder pedal, swinging the nose to the left without banking. The airplane is rotating about which axis, and what is the motion called?
- The vertical axis; the motion is roll
- The longitudinal axis; the motion is roll
- The lateral axis; the motion is pitch
- The vertical axis; the motion is yaw
Correct answer: The vertical axis; the motion is yaw
The vertical axis, yaw, is correct. Side-to-side movement of the nose about the vertical axis is yaw, and it is produced by the rudder. Roll is about the longitudinal axis and pitch is about the lateral axis.
Which statement correctly pairs each axis of flight with its orientation through the aircraft?
- Longitudinal axis runs nose to tail; lateral axis runs wingtip to wingtip; vertical axis runs top to bottom
- Longitudinal axis runs wingtip to wingtip; lateral axis runs top to bottom; vertical axis runs nose to tail
- Longitudinal axis runs top to bottom; lateral axis runs nose to tail; vertical axis runs wingtip to wingtip
- All three axes run from nose to tail at different heights
Correct answer: Longitudinal axis runs nose to tail; lateral axis runs wingtip to wingtip; vertical axis runs top to bottom
Longitudinal nose-to-tail, lateral wingtip-to-wingtip, vertical top-to-bottom is correct. These three mutually perpendicular axes intersect at the center of gravity and define roll, pitch, and yaw respectively. The other options scramble the orientations.
The ailerons on an airplane move in opposite directions; one goes up while the other goes down. Their primary purpose is to:
- Pitch the nose up and down
- Roll the airplane about its longitudinal axis
- Yaw the nose left and right
- Increase lift symmetrically for landing
Correct answer: Roll the airplane about its longitudinal axis
Roll the airplane about the longitudinal axis is correct. Ailerons deflect oppositely on each wing to raise lift on one side and lower it on the other, banking the airplane. Pitch is controlled by the elevator and yaw by the rudder.
Which primary control surface controls movement of the airplane about its lateral (pitch) axis?
- Aileron
- Rudder
- Elevator
- Flap
Correct answer: Elevator
The elevator is correct. Hinged to the horizontal stabilizer, the elevator deflects to raise or lower the nose, rotating the airplane about its lateral axis. Ailerons control roll, and the rudder controls yaw; flaps are not a primary control surface.
The rudder is the movable control surface attached to the:
- Leading edge of each wing
- Horizontal stabilizer
- Trailing edge of each wing
- Vertical stabilizer
Correct answer: Vertical stabilizer
The vertical stabilizer is correct. The rudder is hinged to the trailing edge of the vertical stabilizer (fin) and is used to yaw the nose left or right. The elevator attaches to the horizontal stabilizer; ailerons and flaps are on the wings.
A pilot deflects the right aileron upward and the left aileron downward. The airplane will:
- Roll to the right
- Roll to the left
- Pitch the nose up
- Yaw to the right
Correct answer: Roll to the right
Roll to the right is correct. An upward-deflected aileron reduces lift on that wing while the downward-deflected aileron increases lift on the other, so the wing with the raised aileron drops, banking the airplane to the right. Pitch and yaw are controlled by different surfaces.
On many light airplanes, the elevator and rudder are operated by, respectively:
- The foot pedals, and the control yoke fore-and-aft
- The control yoke/stick fore-and-aft, and the foot pedals
- The throttle, and the flap lever
- The trim wheel, and the control yoke side-to-side
Correct answer: The control yoke/stick fore-and-aft, and the foot pedals
The yoke fore-and-aft and the foot pedals is correct. Pulling or pushing the control yoke moves the elevator for pitch, while the rudder pedals move the rudder for yaw. Side-to-side yoke movement works the ailerons; the throttle controls power.
According to Bernoulli's principle as applied to a wing, where air moves faster over the curved upper surface of an airfoil, the static pressure there is:
- Exactly equal to the pressure beneath the wing
- Higher than the pressure beneath the wing
- Lower than the pressure beneath the wing
- Zero
Correct answer: Lower than the pressure beneath the wing
Lower than the pressure beneath the wing is correct. Bernoulli's principle states that faster-moving air exerts lower static pressure; the speed-up over the curved top creates lower pressure above than below, and that pressure difference contributes to lift.
The angle of attack of a wing is best defined as the angle between the:
- Flight path and magnetic north
- Wing and the horizon
- Fuselage and the runway
- Chord line of the wing and the relative wind
Correct answer: Chord line of the wing and the relative wind
Chord line and the relative wind is correct. Angle of attack is the acute angle between the airfoil's chord line and the oncoming relative wind. It is distinct from pitch attitude, which is measured relative to the horizon.
As a pilot increases the angle of attack up to a point, the lift produced by the wing generally:
- Increases until the critical angle of attack is reached
- Decreases steadily from the start
- Remains constant regardless of angle
- Increases without any limit
Correct answer: Increases until the critical angle of attack is reached
Increases until the critical angle of attack is correct. Raising the angle of attack increases lift up to the critical angle, beyond which the airflow separates and the wing stalls, causing lift to drop sharply. Lift does not rise without limit.
An aerodynamic stall occurs when the wing exceeds its critical angle of attack. This can happen:
- Only at very low airspeed near the ground
- At any airspeed and any aircraft attitude
- Only when the engine has failed
- Only during straight-and-level flight
Correct answer: At any airspeed and any aircraft attitude
At any airspeed and attitude is correct. A stall is defined by exceeding the critical angle of attack, not by a particular speed; an airplane can stall at high speed in a steep turn or pull-up. The other options describe only special cases.
The greatest distance from the leading edge to the trailing edge of an airfoil, measured along the chord line, is the wing's:
- Camber
- Wingspan
- Chord length
- Aspect ratio
Correct answer: Chord length
Chord length is correct. The chord is the straight-line distance from the leading edge to the trailing edge. Wingspan is the tip-to-tip distance, camber is the curvature of the airfoil, and aspect ratio relates span to chord.
Camber, an important feature of an airfoil, refers to the:
- Angle the wing is mounted relative to the fuselage
- Sweep angle of the wing relative to the fuselage
- Distance from wingtip to wingtip
- Curvature of the upper and lower surfaces of the wing
Correct answer: Curvature of the upper and lower surfaces of the wing
Curvature of the wing surfaces is correct. Camber describes how curved the upper and lower surfaces of the airfoil are; greater upper camber helps generate the pressure difference that produces lift. Wingtip-to-wingtip distance is span, not camber.
The empennage of an airplane refers to the:
- Tail section, including the vertical and horizontal stabilizers
- Main body that holds the cockpit and cabin
- Engine and propeller assembly
- Wing and its attached flaps
Correct answer: Tail section, including the vertical and horizontal stabilizers
The tail section is correct. The empennage is the assembly at the rear of the airplane, comprising the vertical stabilizer with rudder and the horizontal stabilizer with elevator. The main body is the fuselage.
The fuselage of an airplane is the:
- Curved surface that generates most of the lift
- Central body structure that houses the crew, passengers, and cargo
- Tail-mounted fin used for directional stability
- Hinged surface used to bank the airplane
Correct answer: Central body structure that houses the crew, passengers, and cargo
The central body structure is correct. The fuselage is the airplane's main body, to which the wings, empennage, and landing gear attach and which carries crew, passengers, and cargo. Lift comes from the wings, not the fuselage.
Which component provides directional (yaw) stability by keeping the nose of the airplane pointed into the relative wind?
- Wing dihedral
- Horizontal stabilizer
- Vertical stabilizer
- Cowling
Correct answer: Vertical stabilizer
The vertical stabilizer is correct. The fixed vertical fin acts like a weathervane to provide directional stability about the vertical axis. The horizontal stabilizer provides pitch stability, and dihedral provides roll stability.
The horizontal stabilizer at the rear of the airplane primarily provides:
- Lift to carry passengers
- Roll stability about the longitudinal axis
- Thrust for forward motion
- Longitudinal (pitch) stability
Correct answer: Longitudinal (pitch) stability
Longitudinal (pitch) stability is correct. The horizontal stabilizer keeps the airplane from pitching uncontrollably about its lateral axis. Roll stability comes mainly from wing dihedral, and thrust comes from the powerplant.
The retractable wheels and struts that support an airplane on the ground and absorb landing loads are collectively called the:
- Landing gear
- Empennage
- Cowling
- Spar
Correct answer: Landing gear
Landing gear is correct. The landing gear includes the wheels, struts, and shock-absorbing components used for takeoff, landing, and ground handling. The empennage is the tail, the cowling encloses the engine, and the spar is a wing structural member.
Extending the wing flaps for landing changes the wing's characteristics by:
- Decreasing both lift and drag at a given airspeed
- Increasing both lift and drag at a given airspeed
- Increasing lift while eliminating all drag
- Increasing thrust from the engine
Correct answer: Increasing both lift and drag at a given airspeed
Increasing both lift and drag is correct. Lowering flaps increases the wing's camber and area, raising lift so the airplane can fly slower, while also adding drag that steepens the descent. Flaps do not affect engine thrust.
A primary benefit of using flaps during landing is that they allow the airplane to:
- Reduce the weight of the aircraft
- Climb at a steeper angle after touchdown
- Approach and land at a lower airspeed
- Increase its maximum cruise speed
Correct answer: Approach and land at a lower airspeed
Land at a lower airspeed is correct. By increasing lift at lower speeds, flaps lower the stall speed and let the airplane make a slower, steeper, more controlled approach. Flaps add drag rather than aiding cruise speed.
Wing flaps are hinged surfaces normally located on which part of the wing?
- The top center of the wing
- The wingtips, outboard of the ailerons
- The leading edge only
- The inboard trailing edge, near the fuselage
Correct answer: The inboard trailing edge, near the fuselage
The inboard trailing edge is correct. Flaps are mounted on the trailing edge between the fuselage and the ailerons, which sit farther outboard. Some aircraft add leading-edge devices, but the conventional flap is a trailing-edge surface.
If a pilot extends a large amount of flaps but adds no power, the most likely immediate effect on the flight path is that the airplane will:
- Descend at a steeper angle due to increased drag
- Climb rapidly due to increased thrust
- Accelerate to a higher cruise speed
- Yaw sharply to one side
Correct answer: Descend at a steeper angle due to increased drag
Descend at a steeper angle is correct. Large flap extension produces substantial drag; without added power the airplane slows and follows a steeper descent path, which is useful for landing. Flaps do not generate thrust.
Under Visual Flight Rules (VFR), the pilot is primarily responsible for navigating and avoiding other aircraft by:
- Following radar vectors from air traffic control at all times
- Looking outside and maintaining visual reference to the ground and horizon
- Flying solely by reference to cockpit instruments
- Using autopilot in clouds
Correct answer: Looking outside and maintaining visual reference to the ground and horizon
Maintaining visual reference outside is correct. VFR requires the pilot to see and avoid other traffic and to navigate using outside visual references, which is why minimum weather and visibility conditions apply. Flying solely by instruments describes IFR.
Instrument Flight Rules (IFR) are generally required when:
- The pilot prefers a scenic route in clear skies
- The airplane is parked at the gate
- Weather and visibility fall below the minimums needed for visual flight
- The engine is operating normally
Correct answer: Weather and visibility fall below the minimums needed for visual flight
When weather falls below visual minimums is correct. IFR procedures let a properly rated pilot fly by reference to instruments and under air traffic control when clouds or low visibility make visual flight impossible. Clear skies typically permit VFR.
A pilot flying IFR in clouds determines the airplane's attitude and position mainly by:
- Feeling the seat-of-the-pants sensations
- Looking at the natural horizon outside
- Watching landmarks on the ground
- Reference to the cockpit flight instruments
Correct answer: Reference to the cockpit flight instruments
Reference to the cockpit instruments is correct. Because the outside view is obscured in clouds, the IFR pilot relies on instruments such as the attitude indicator and heading indicator. Bodily sensations are unreliable and can be dangerously misleading.
Which of the following is the clearest example of conditions that would require flying under IFR rather than VFR?
- Solid cloud cover and visibility of less than one mile
- A clear day with unlimited visibility
- Light scattered clouds far above the flight path
- Bright sunshine with calm winds
Correct answer: Solid cloud cover and visibility of less than one mile
Solid clouds with under one mile visibility is correct. Such low ceilings and visibility fall below VFR minimums, so the flight must be conducted under IFR using instruments and ATC services. The remaining options describe good visual conditions.
A runway numbered 27 is aligned with a magnetic heading of approximately:
- 027 degrees
- 270 degrees
- 72 degrees
- 207 degrees
Correct answer: 270 degrees
270 degrees is correct. Runway numbers are the magnetic heading of the runway rounded to the nearest 10 degrees with the final zero dropped, so runway 27 points toward about 270 degrees (west). The opposite end would be runway 9.
In a standard traffic pattern, the leg flown parallel to the landing runway but in the opposite direction of landing is the:
- Crosswind leg
- Final approach leg
- Downwind leg
- Departure leg
Correct answer: Downwind leg
The downwind leg is correct. The downwind leg runs parallel to the runway, opposite the landing direction, and is where the pilot prepares to turn base and then final. Final approach is aligned with the runway toward landing.
Unless otherwise indicated, the standard direction of turns in an airport traffic pattern is:
- No turns at all
- Right turns
- Alternating left and right turns
- Left turns
Correct answer: Left turns
Left turns is correct. The standard rectangular traffic pattern uses left turns unless a right-hand pattern is published for that runway. This predictability helps pilots sequence safely without conflict.
The leg of the traffic pattern aligned directly with the runway centerline as the airplane descends to land is the:
- Final approach
- Crosswind
- Downwind
- Upwind
Correct answer: Final approach
Final approach is correct. After turning from the base leg, the airplane lines up on final approach, aligned with the runway centerline, and descends to the touchdown point. The crosswind and downwind legs occur earlier in the pattern.
The defining difference between a fixed-wing aircraft and a rotary-wing aircraft is that:
- A fixed-wing aircraft cannot carry passengers, but a rotary-wing aircraft can
- A fixed-wing aircraft generates lift from stationary wings as it moves forward, while a rotary-wing aircraft generates lift from rotating blades
- A rotary-wing aircraft has no engine, while a fixed-wing aircraft does
- A fixed-wing aircraft can only fly at night
Correct answer: A fixed-wing aircraft generates lift from stationary wings as it moves forward, while a rotary-wing aircraft generates lift from rotating blades
Fixed wings produce lift through forward motion while rotary blades spin to make lift is correct. An airplane needs airspeed over fixed wings, whereas a helicopter's rotating blades create lift even when hovering. Both types are powered and carry people.
Which capability is characteristic of a rotary-wing aircraft such as a helicopter but not a conventional fixed-wing airplane?
- Carrying fuel for flight
- Cruising at high altitude
- Hovering in one place and taking off vertically
- Having a fuselage
Correct answer: Hovering in one place and taking off vertically
Hovering and vertical takeoff is correct. A helicopter's rotor lets it lift off vertically and hover without forward motion, which a fixed-wing airplane cannot do because it requires airspeed over its wings. Both aircraft types carry fuel and have fuselages.
Which of the following is an example of a rotary-wing aircraft?
- Single-engine propeller airplane
- Glider
- Jet airliner
- Helicopter
Correct answer: Helicopter
Helicopter is correct. A helicopter generates lift from its rotating main rotor blades, making it a rotary-wing aircraft. Gliders, jet airliners, and propeller airplanes all use fixed wings to produce lift.
The altimeter measures the airplane's altitude by sensing changes in:
- Static air pressure, which decreases with altitude
- Engine oil temperature
- Magnetic field strength
- Electrical current in the cockpit
Correct answer: Static air pressure, which decreases with altitude
Static air pressure is correct. The altimeter is an aneroid instrument that reads decreasing atmospheric pressure as the airplane climbs and displays it as altitude. It connects to the static port, not to engine or electrical systems.
The airspeed indicator displays how fast the airplane is moving through the air by comparing:
- Two electrical voltages
- Ram (pitot) pressure with static pressure
- Engine RPM with fuel flow
- Outside temperature with cabin temperature
Correct answer: Ram (pitot) pressure with static pressure
Comparing pitot pressure with static pressure is correct. The airspeed indicator measures the difference between the ram air pressure entering the pitot tube and the static pressure, and displays the result as airspeed. It does not measure RPM or temperature.
The heading indicator (directional gyro) in the cockpit shows the pilot the airplane's:
- Rate of climb or descent
- Altitude above the ground
- Compass direction the nose is pointing
- Engine power output
Correct answer: Compass direction the nose is pointing
The compass direction the nose is pointing is correct. The heading indicator presents the airplane's magnetic heading on a compass card that is stable and easy to read in turns. Altitude and climb rate come from other instruments.
Which instrument shows the pilot the rate of turn and, with its inclinometer ball, whether the turn is coordinated?
- Vertical speed indicator
- Altimeter
- Airspeed indicator
- Turn coordinator
Correct answer: Turn coordinator
The turn coordinator is correct. It indicates the rate of roll and turn, while the ball shows whether the turn is coordinated (ball centered) or slipping/skidding. The altimeter and airspeed indicator measure altitude and speed, not turn quality.
The attitude indicator (artificial horizon) provides the pilot with a direct display of the airplane's:
- Pitch and bank relative to the horizon
- Distance remaining to the destination
- Fuel quantity in each tank
- Outside air temperature
Correct answer: Pitch and bank relative to the horizon
Pitch and bank relative to the horizon is correct. The attitude indicator shows the aircraft's nose-up/nose-down pitch and left/right bank against a symbolic horizon, which is essential when the real horizon is not visible. It does not display fuel, range, or temperature.
A propeller-driven airplane produces thrust mainly by:
- Spinning a horizontal rotor to lift straight up
- Accelerating a mass of air rearward as the propeller blades spin
- Burning fuel in the wings to create pressure
- Deflecting the rudder back and forth
Correct answer: Accelerating a mass of air rearward as the propeller blades spin
Accelerating air rearward with the spinning propeller is correct. A propeller acts like a rotating airfoil that pushes air backward, and the reaction drives the airplane forward as thrust. A horizontal lifting rotor describes a helicopter, not a fixed-wing propeller airplane.
A helicopter flies 195 miles in 1 hour and 30 minutes at a steady speed. What is its average speed in miles per hour?
- 130 miles per hour
- 120 miles per hour
- 150 miles per hour
- 140 miles per hour
Correct answer: 130 miles per hour
The answer is 130 miles per hour. One hour and 30 minutes equals 1.5 hours. Speed equals distance divided by time, so $195 \div 1.5$ equals 130 miles per hour.
A tank column moves at a steady 24 miles per hour. How far will it travel in 45 minutes?
- 16 miles
- 20 miles
- 21 miles
- 18 miles
Correct answer: 18 miles
The answer is 18 miles. Forty-five minutes equals three-quarters of an hour, or 0.75 hours. Distance equals rate times time, so $24 \times 0.75$ equals 18 miles.
A cargo ship sails 540 nautical miles at 30 knots. How many hours does the voyage take?
- 18 hours
- 16 hours
- 20 hours
- 15 hours
Correct answer: 18 hours
The answer is 18 hours. A knot is one nautical mile per hour, so time equals distance divided by speed. Dividing 540 by 30 gives 18 hours.
A jet takes off and climbs at 250 miles per hour for 12 minutes. How many miles does it cover during that climb?
- 60 miles
- 45 miles
- 55 miles
- 50 miles
Correct answer: 50 miles
The answer is 50 miles. Twelve minutes equals one-fifth of an hour, or 0.2 hours. Distance equals rate times time, so $250 \times 0.2$ equals 50 miles.
A car covers 245 miles using 35 miles per gallon of gasoline. How many gallons does the trip consume?
- 7 gallons
- 6 gallons
- 8 gallons
- 9 gallons
Correct answer: 7 gallons
The answer is 7 gallons. Gallons used equal total distance divided by fuel efficiency, so $245 \div 35$ equals 7 gallons.
Two aircraft depart the same airfield at the same time, one heading east at 480 miles per hour and one heading west at 520 miles per hour. After how many hours are they 4,000 miles apart?
- 4 hours
- 5 hours
- 4.5 hours
- 3.5 hours
Correct answer: 4 hours
The answer is 4 hours. Flying in opposite directions, the aircraft separate at the sum of their speeds, 480 plus 520, or 1,000 miles per hour. Time equals distance divided by that rate, so $4,000 \div 1,000$ equals 4 hours.
A messenger drives the first 90 miles at 45 miles per hour and the next 90 miles at 30 miles per hour. What is the average speed for the whole 180-mile trip?
- 37.5 miles per hour
- 36 miles per hour
- 38 miles per hour
- 40 miles per hour
Correct answer: 36 miles per hour
The answer is 36 miles per hour. Average speed is total distance over total time, not the average of the speeds. The first leg takes 2 hours and the second takes 3 hours, so 180 miles divided by 5 hours equals 36 miles per hour.
A reconnaissance drone flies at 90 miles per hour. How many minutes does it take to cover 54 miles?
- 36 minutes
- 30 minutes
- 40 minutes
- 42 minutes
Correct answer: 36 minutes
The answer is 36 minutes. The time in hours is $54 \div 90$ , which is 0.6 hours. Multiplying 0.6 by 60 minutes gives 36 minutes.
A bus leaves a terminal at 7:00 a.m. traveling 50 miles per hour. A car leaves the same terminal at 8:00 a.m. on the same route at 70 miles per hour. At what time does the car overtake the bus?
- 11:30 a.m.
- 10:30 a.m.
- 10:00 a.m.
- 11:00 a.m.
Correct answer: 10:30 a.m.
The answer is 10:30 a.m. In its one-hour head start the bus travels 50 miles. The car closes that gap at 70 minus 50, or 20 miles per hour, needing $50 \div 20$ , or 2.5 hours. Adding 2 hours 30 minutes to the car's 8:00 a.m. start gives 10:30 a.m.
A pump fills a reservoir at 18 gallons per minute. How many gallons does it deliver in 1 hour and 20 minutes?
- 1,260 gallons
- 1,500 gallons
- 1,620 gallons
- 1,440 gallons
Correct answer: 1,440 gallons
The answer is 1,440 gallons. One hour and 20 minutes equals 80 minutes. Multiplying the rate of 18 gallons per minute by 80 minutes gives 1,440 gallons.
A soldier marches 15 miles in 5 hours. At that pace, how long will it take to march 24 miles?
- 7 hours
- 8 hours
- 9 hours
- 6 hours
Correct answer: 8 hours
The answer is 8 hours. The pace is $15 \div 5$ , or 3 miles per hour. Time for 24 miles equals $24 \div 3$ , which is 8 hours.
A train travels at a constant speed and passes mile marker 60 at noon and mile marker 200 at 2:00 p.m. What is the train's speed?
- 65 miles per hour
- 75 miles per hour
- 70 miles per hour
- 80 miles per hour
Correct answer: 70 miles per hour
The answer is 70 miles per hour. The train covers 200 minus 60, or 140 miles, in the 2 hours from noon to 2:00 p.m. Speed equals $140 \div 2$ , which is 70 miles per hour.
A satellite transmits data at a constant rate, sending 256 megabytes in 8 seconds. How many megabytes does it send in 1 minute at that rate?
- 1,800 megabytes
- 2,048 megabytes
- 1,536 megabytes
- 1,920 megabytes
Correct answer: 1,920 megabytes
The answer is 1,920 megabytes. The rate is $256 \div 8$ , or 32 megabytes per second. One minute is 60 seconds, so $32 \times 60$ equals 1,920 megabytes.
A vehicle averages 65 miles per hour for the first 2 hours of a trip and 45 miles per hour for the next 3 hours. What is the total distance traveled?
- 265 miles
- 245 miles
- 255 miles
- 275 miles
Correct answer: 265 miles
The answer is 265 miles. The first part covers $65 \times 2$ , or 130 miles, and the second covers $45 \times 3$ , or 135 miles. Adding 130 and 135 gives 265 miles.
An aircraft must reach a destination 1,200 miles away by 4:00 p.m. and it departs at 11:00 a.m. What minimum constant ground speed is required?
- 220 miles per hour
- 260 miles per hour
- 240 miles per hour
- 300 miles per hour
Correct answer: 240 miles per hour
The answer is 240 miles per hour. From 11:00 a.m. to 4:00 p.m. is 5 hours. The required speed equals distance divided by time, so $1,200 \div 5$ equals 240 miles per hour.
A pilot flying at 360 miles per hour wants to know how far the aircraft moves each minute. How many miles does it travel per minute?
- 5 miles
- 7 miles
- 6 miles
- 8 miles
Correct answer: 6 miles
The answer is 6 miles. There are 60 minutes in an hour, so miles per minute equal $360 \div 60$ , which is 6 miles each minute.
A blueprint uses a scale of 1 inch to 4 feet. A wall measured on the blueprint is 7.5 inches long. How long is the actual wall?
- 28 feet
- 32 feet
- 26 feet
- 30 feet
Correct answer: 30 feet
The answer is 30 feet. Each inch represents 4 feet, so the actual length is the blueprint length times 4. Multiplying 7.5 inches by 4 feet per inch gives 30 feet.
The ratio of pilots to navigators in a squadron is 5 to 2. If there are 40 pilots, how many navigators are there?
- 12 navigators
- 16 navigators
- 14 navigators
- 18 navigators
Correct answer: 16 navigators
The answer is 16 navigators. The proportion is 5 to 2 equals 40 to x. Since 5 multiplied by 8 equals 40, multiply 2 by the same factor of 8 to get 16 navigators.
A photograph that is 4 inches wide and 6 inches tall is enlarged so its width becomes 10 inches. If the proportions stay the same, what is the new height?
- 15 inches
- 12 inches
- 16 inches
- 14 inches
Correct answer: 15 inches
The answer is 15 inches. The proportion of width to height is 4 to 6, equal to 10 to x. Cross multiplying gives 4x equals 60, so x equals 15 inches.
A fertilizer blend mixes nitrogen and phosphorus in a ratio of 5 to 3. If 45 pounds of nitrogen are used, how many pounds of phosphorus are needed?
- 27 pounds
- 24 pounds
- 30 pounds
- 21 pounds
Correct answer: 27 pounds
The answer is 27 pounds. The proportion is 5 to 3 equals 45 to x. Since 5 multiplied by 9 equals 45, multiply 3 by 9 to get 27 pounds of phosphorus.
If 7 pumps can empty a flooded basement in 12 hours, how long would 6 pumps take to empty the same basement at the same rate?
- 13 hours
- 14 hours
- 16 hours
- 15 hours
Correct answer: 14 hours
The answer is 14 hours. This is an inverse proportion because fewer pumps means more time. The total work is 7 pumps times 12 hours, or 84 pump-hours, and dividing by 6 pumps gives 14 hours.
Three quantities are in the ratio 4 to 5 to 6, and the smallest is 28. What is the largest quantity?
- 35
- 48
- 42
- 40
Correct answer: 42
The answer is 42. The smallest is 4 parts equal to 28, so one part is $28 \div 4$ , or 7. The largest is 6 parts, which is $6 \times 7$ , equaling 42.
A budget of $96,000 is split among fuel, maintenance, and training in a ratio of 5 to 4 to 3. How much is allotted to fuel?
- $36,000
- $32,000
- $48,000
- $40,000
Correct answer: $40,000
The answer is $40,000. The ratio parts total 5 plus 4 plus 3, or 12 parts, so each part is $96,000 divided by 12, or $8,000. Fuel is 5 parts, which is 5 times $8,000, equaling $40,000.
A press stamps 1,000 emblems using 8 sheets of metal. How many sheets are needed to stamp 2,750 emblems at the same rate?
- 20 sheets
- 24 sheets
- 22 sheets
- 26 sheets
Correct answer: 22 sheets
The answer is 22 sheets. Each sheet yields $1,000 \div 8$ , or 125 emblems. Sheets needed equal $2,750 \div 125$ , which is 22 sheets.
A garrison has rations for 240 troops to last 30 days. If the garrison grows to 360 troops, how many days will the same rations last?
- 18 days
- 20 days
- 22 days
- 24 days
Correct answer: 20 days
The answer is 20 days. This is an inverse proportion because more troops means the rations last fewer days. The total supply is $240 \times 30$ , or 7,200 troop-days, and dividing by 360 troops gives 20 days.
A model aircraft is built at a scale of 1 to 48. If the real wingspan is 36 feet, what is the model's wingspan in inches?
- 9 inches
- 10 inches
- 12 inches
- 8 inches
Correct answer: 9 inches
The answer is 9 inches. The real wingspan of 36 feet equals $36 \times 12$ , or 432 inches. At a scale of 1 to 48, the model is $432 \div 48$ , which equals 9 inches.
Two gears mesh so that for every 4 turns of the small gear the large gear makes 3 turns. If the small gear makes 60 turns, how many turns does the large gear make?
- 45 turns
- 40 turns
- 48 turns
- 50 turns
Correct answer: 45 turns
The answer is 45 turns. The proportion is 4 to 3 equals 60 to x. Since 4 multiplied by 15 equals 60, multiply 3 by 15 to get 45 turns of the large gear.
An exchange rate gives 7 of currency A for every 4 of currency B. How many units of currency B equal 91 units of currency A?
- 48 units
- 52 units
- 56 units
- 44 units
Correct answer: 52 units
The answer is 52 units. The proportion is 7 to 4 equals 91 to x. Since 7 multiplied by 13 equals 91, multiply 4 by 13 to get 52 units of currency B.
A concrete mix uses cement, sand, and gravel in a ratio of 1 to 2 to 4. A batch contains 24 cubic feet of gravel. How many cubic feet of cement does it contain?
- 4 cubic feet
- 6 cubic feet
- 8 cubic feet
- 12 cubic feet
Correct answer: 6 cubic feet
The answer is 6 cubic feet. Gravel is 4 parts equal to 24 cubic feet, so one part is $24 \div 4$ , or 6 cubic feet. Cement is 1 part, so it is 6 cubic feet.
If 5 technicians can calibrate 80 instruments in a day, how many technicians are needed to calibrate 128 instruments in a day at the same rate?
- 7 technicians
- 9 technicians
- 8 technicians
- 6 technicians
Correct answer: 8 technicians
The answer is 8 technicians. Each technician calibrates $80 \div 5$ , or 16 instruments per day. Technicians needed equal $128 \div 16$ , which is 8 technicians.
A juice concentrate is mixed with water in a ratio of 2 to 9. How many cups of water are needed to make 44 cups of finished juice?
- 32 cups
- 34 cups
- 36 cups
- 38 cups
Correct answer: 36 cups
The answer is 36 cups. The parts total 2 plus 9, or 11 parts, making 44 cups, so each part is $44 \div 11$ , or 4 cups. Water is 9 parts, which is $9 \times 4$ , equaling 36 cups.
On a wall map, 3 centimeters represents 45 kilometers. Two outposts are 90 kilometers apart in reality. How far apart are they on the map?
- 6 centimeters
- 5 centimeters
- 7 centimeters
- 8 centimeters
Correct answer: 6 centimeters
The answer is 6 centimeters. Each centimeter represents $45 \div 3$ , or 15 kilometers. Map distance equals $90 \div 15$ , which is 6 centimeters.
Working alone, one crew can resurface a runway in 12 days and another crew can do it in 6 days. Working together, how many days will they need?
- 3 days
- 5 days
- 4 days
- 4.5 days
Correct answer: 4 days
The answer is 4 days. The first crew does 1/12 of the job per day and the second does 1/6, or 2/12, per day. Together they complete 3/12, or 1/4, of the job each day, so the full job takes 4 days.
A bolt supplier sells 250 bolts for $20. At the same price per bolt, how much do 425 bolts cost?
- $30
- $32
- $34
- $36
Correct answer: $34
The answer is $34. Each bolt costs $20 divided by 250, or $0.08. The cost of 425 bolts is 425 times $0.08, which equals $34.
A scale states that 1 inch equals 60 miles. A river drawn on the chart measures 4.5 inches. What actual distance does that represent?
- 270 miles
- 240 miles
- 300 miles
- 260 miles
Correct answer: 270 miles
The answer is 270 miles. With 1 inch representing 60 miles, the actual distance is the chart length times 60. Multiplying 4.5 inches by 60 miles per inch gives 270 miles.
What is 35 percent of 240?
- 72
- 96
- 78
- 84
Correct answer: 84
The answer is 84. To find a percentage of a number, convert 35 percent to the decimal 0.35 and multiply by 240. The product $0.35 \times 240$ equals 84.
A laptop originally priced at $720 is discounted by 15 percent. What is the discounted price?
- $648
- $612
- $600
- $624
Correct answer: $612
The answer is $612. A 15 percent discount removes 0.15 times $720, or $108. Subtracting $108 from $720 leaves a discounted price of $612.
A candidate scored 68 out of 80 on an exam section. What percent did the candidate score?
- 85 percent
- 80 percent
- 82 percent
- 88 percent
Correct answer: 85 percent
The answer is 85 percent. The percent score equals the points earned divided by the total, times 100. Dividing 68 by 80 gives 0.85, which is 85 percent.
A salary of $52,000 is increased by 6 percent. What is the new salary?
- $54,600
- $55,000
- $56,160
- $55,120
Correct answer: $55,120
The answer is $55,120. A 6 percent raise adds 0.06 times $52,000, or $3,120. Adding $3,120 to $52,000 gives a new salary of $55,120.
After a 30 percent discount, a flight jacket costs $98. What was the original price?
- $120
- $140
- $130
- $150
Correct answer: $140
The answer is $140. After a 30 percent discount the price is 70 percent of the original, so $98 equals 0.70 times the original. Dividing $98 by 0.70 gives an original price of $140.
A 60-liter mixture is 25 percent antifreeze. How many liters of antifreeze does it contain?
- 12 liters
- 15 liters
- 18 liters
- 20 liters
Correct answer: 15 liters
The answer is 15 liters. The amount of antifreeze equals the concentration times the total volume, so $0.25 \times 60$ liters equals 15 liters.
A reading on a gauge falls from 80 to 68. What is the percent decrease?
- 12 percent
- 18 percent
- 20 percent
- 15 percent
Correct answer: 15 percent
The answer is 15 percent. Percent decrease equals the change divided by the original value, times 100. The change is 80 minus 68, or 12, and $12 \div 80$ equals 0.15, which is 15 percent.
A fuel tank holds 240 gallons and is currently 65 percent full. How many gallons are in the tank?
- 144 gallons
- 150 gallons
- 156 gallons
- 160 gallons
Correct answer: 156 gallons
The answer is 156 gallons. The amount in the tank equals 65 percent of 240, or $0.65 \times 240$ , which equals 156 gallons.
A tip of 18 percent on a meal comes to $9. What was the price of the meal before the tip?
- $45
- $55
- $48
- $50
Correct answer: $50
The answer is $50. The tip equals 18 percent of the meal price, so $9 equals 0.18 times the price. Dividing $9 by 0.18 gives a meal price of $50.
How many gallons of pure water must be added to 24 gallons of a 50 percent saline solution to dilute it to a 30 percent solution?
- 14 gallons
- 16 gallons
- 18 gallons
- 20 gallons
Correct answer: 16 gallons
The answer is 16 gallons. The salt content stays fixed at $0.50 \times 24$ , or 12 gallons. For a 30 percent solution, 12 gallons must equal 0.30 of the new total, so the total is $12 \div 0.30$ , or 40 gallons. Adding water of 40 minus 24 gives 16 gallons.
A 40-pound batch of alloy is 15 percent tin. How many pounds of pure tin must be added to raise the tin content to 32 percent?
- 8 pounds
- 10 pounds
- 12 pounds
- 9 pounds
Correct answer: 10 pounds
The answer is 10 pounds. The batch starts with $0.15 \times 40$ , or 6 pounds of tin. Adding x pounds makes 6 plus x equal to 0.32 times the new total of 40 plus x. Solving 6 plus x equals 12.8 plus 0.32x gives 0.68x equals 6.8, so x equals 10 pounds.
A quantity is increased by 20 percent and then the result is decreased by 20 percent. Compared with the original, the final value is
- Exactly the same
- 4 percent higher
- 4 percent lower
- 2 percent lower
Correct answer: 4 percent lower
The answer is 4 percent lower. Starting at 100, a 20 percent increase gives 120, and a 20 percent decrease of 120 removes 24, leaving 96. Since 96 is 4 below 100, the final value is 4 percent lower than the original.
A 12 percent solution of bleach contains 6 ounces of pure bleach. What is the total volume of the solution?
- 40 ounces
- 45 ounces
- 48 ounces
- 50 ounces
Correct answer: 50 ounces
The answer is 50 ounces. The bleach is 12 percent of the total, so 6 ounces equals 0.12 times the total. Dividing 6 by 0.12 gives a total volume of 50 ounces.
An aircrew completed 42 of 56 assigned sorties. What percent of the sorties were not completed?
- 20 percent
- 30 percent
- 25 percent
- 28 percent
Correct answer: 25 percent
The answer is 25 percent. The incomplete sorties number 56 minus 42, or 14. As a percent of the 56 assigned, $14 \div 56$ equals 0.25, which is 25 percent.
A deposit of $8,000 earns 5 percent simple interest per year. How much interest accrues after 3 years?
- $1,000
- $1,100
- $1,200
- $1,400
Correct answer: $1,200
The answer is $1,200. Simple interest equals principal times rate times time, so $ $8,000 \times 0.05$ times 3 years equals $1,200. Each year earns $400, and three years total $1,200.
A mechanic earns $22 per hour for the first 40 hours and time-and-a-half beyond that. What are the gross earnings for a 48-hour week?
- $1,144
- $1,180
- $1,200
- $1,056
Correct answer: $1,144
The answer is $1,144. Regular pay is 40 hours times $22, or $880. The 8 overtime hours pay 1.5 times $22, or $33 each, totaling 8 times $33, or $264. Adding $880 and $264 gives $1,144.
Of 500 recruits, 92 percent passed the physical fitness test. How many recruits passed?
- 440 recruits
- 450 recruits
- 460 recruits
- 475 recruits
Correct answer: 460 recruits
The answer is 460 recruits. The number who passed equals 92 percent of 500, or $0.92 \times 500$ , which equals 460 recruits.
A 30 percent acid solution is combined with a 70 percent acid solution to make 40 liters of a 45 percent solution. How many liters of the 70 percent solution are used?
- 12 liters
- 18 liters
- 20 liters
- 15 liters
Correct answer: 15 liters
The answer is 15 liters. Let x be liters of the 70 percent solution and 40 minus x be the 30 percent solution. The acid equation is 0.70x plus 0.30 times (40 minus x) equals $0.45 \times 40$ , or 18. Simplifying gives 12 plus 0.40x equals 18, so 0.40x equals 6 and x equals 15 liters.
A part costs $250 before a 12 percent discount, and then a 6 percent sales tax is applied to the discounted price. What is the final amount paid?
- $226.60
- $233.20
- $240.00
- $220.00
Correct answer: $233.20
The answer is $233.20. The 12 percent discount removes 0.12 times $250, or $30, leaving $220. The 6 percent tax on $220 is 0.06 times $220, or $13.20. Adding $13.20 to $220 gives $233.20.
A coffee blend mixes 8 pounds of beans costing $6 per pound with 12 pounds costing $11 per pound. What is the cost per pound of the resulting blend?
- $8.50
- $9.50
- $8.00
- $9.00
Correct answer: $9.00
The answer is $9.00. The total cost is 8 times $6 plus 12 times $11, which is $48 plus $132, or $180. Dividing $180 by the total 20 pounds gives $9.00 per pound.
A reservoir is 80 percent full holding 6,400 gallons. What is the reservoir's total capacity?
- 7,200 gallons
- 8,000 gallons
- 8,400 gallons
- 7,680 gallons
Correct answer: 8,000 gallons
The answer is 8,000 gallons. The 6,400 gallons represent 80 percent of capacity, so 6,400 equals 0.80 times the total. Dividing 6,400 by 0.80 gives a total capacity of 8,000 gallons.
A trainee gets 45 of the first 50 practice questions correct, then answers the next 30 questions and finishes with 88 percent correct overall. How many of the last 30 questions did the trainee answer correctly?
- 24 questions
- 27 questions
- 26 questions
- 25 questions
Correct answer: 25 questions
The answer is 25 questions. The total questions number 50 plus 30, or 80, and 88 percent of 80 is 70 correct overall. Subtracting the 45 already correct leaves 70 minus 45, which is 25 of the last 30 questions.
A scout vehicle travels 5 miles in 8 minutes at a constant speed. What is its speed in miles per hour?
- 37.5 miles per hour
- 30 miles per hour
- 40 miles per hour
- 35 miles per hour
Correct answer: 37.5 miles per hour
The answer is 37.5 miles per hour. Eight minutes is $8 \div 60$ of an hour, so speed equals 5 divided by (8/60), which is 5 times $60 \div 8$ , equaling 37.5 miles per hour.
ASTUTE most nearly means
- Shrewd
- Careless
- Wealthy
- Foolish
Correct answer: Shrewd
The answer is shrewd. Astute describes having sharp judgment and quick understanding, which matches shrewd. Foolish is its opposite, while careless and wealthy describe unrelated qualities.
ABATE most nearly means
- Intensify
- Lessen
- Begin
- Scatter
Correct answer: Lessen
The answer is lessen. To abate is to decrease in force or intensity, which matches lessen. Intensify is its opposite, and begin and scatter describe different actions.
PRUDENT most nearly means
- Reckless
- Generous
- Cautious
- Loud
Correct answer: Cautious
The answer is cautious. Prudent describes acting with careful good judgment to avoid risk, which matches cautious. Reckless is its opposite, and generous and loud describe unrelated traits.
LUCID most nearly means
- Confusing
- Dim
- Harsh
- Clear
Correct answer: Clear
The answer is clear. Lucid describes being easy to understand and expressed plainly, which matches clear. Confusing is its opposite, and dim and harsh describe different qualities.
TIMELY most nearly means
- Prompt
- Late
- Slow
- Rare
Correct answer: Prompt
The answer is prompt. Timely describes happening at a suitable or opportune moment, which matches prompt. Late is closer to the opposite, and slow and rare describe different qualities.
OMINOUS most nearly means
- Cheerful
- Threatening
- Calm
- Small
Correct answer: Threatening
The answer is threatening. Ominous describes giving the impression that something bad is about to happen, which matches threatening. Cheerful and calm suggest the opposite, and small describes an unrelated quality.
BOLSTER most nearly means
- Weaken
- Ignore
- Strengthen
- Hide
Correct answer: Strengthen
The answer is strengthen. To bolster is to support and reinforce something, which matches strengthen. Weaken is its opposite, and ignore and hide describe different actions.
METICULOUS most nearly means
- Sloppy
- Generous
- Rapid
- Thorough
Correct answer: Thorough
The answer is thorough. Meticulous describes showing great attention to every detail, which matches thorough. Sloppy is its opposite, and rapid and generous describe unrelated qualities.
CURTAIL most nearly means
- Reduce
- Extend
- Repeat
- Polish
Correct answer: Reduce
The answer is reduce. To curtail is to cut something short or limit it, which matches reduce. Extend is its opposite, and repeat and polish describe different actions.
ROBUST most nearly means
- Frail
- Sturdy
- Vague
- Quiet
Correct answer: Sturdy
The answer is sturdy. Robust describes being strong and healthy or solidly built, which matches sturdy. Frail is its opposite, and vague and quiet describe unrelated qualities.
CONCISE most nearly means
- Wordy
- Vague
- Brief
- Rude
Correct answer: Brief
The answer is brief. Concise describes giving information clearly in few words, which matches brief. Wordy is its opposite, and vague and rude describe different qualities.
ZEALOUS most nearly means
- Weary
- Bored
- Calm
- Enthusiastic
Correct answer: Enthusiastic
The answer is enthusiastic. Zealous describes showing great energy and devotion for a cause, which matches enthusiastic. Bored and weary suggest the opposite, and calm describes a different state.
HAMPER most nearly means
- Hinder
- Assist
- Finish
- Clean
Correct answer: Hinder
The answer is hinder. To hamper is to slow or get in the way of progress, which matches hinder. Assist is its opposite, and finish and clean describe different actions.
VITAL most nearly means
- Minor
- Essential
- Hidden
- Rapid
Correct answer: Essential
The answer is essential. Vital describes being absolutely necessary or important, which matches essential. Minor is closer to the opposite, and hidden and rapid describe unrelated qualities.
WANE most nearly means
- Grow
- Remain
- Decline
- Begin
Correct answer: Decline
The answer is decline. To wane is to gradually decrease in size, strength, or intensity, which matches decline. Grow is its opposite, and remain and begin describe different actions.
AFFLUENT most nearly means
- Poor
- Weary
- Honest
- Wealthy
Correct answer: Wealthy
The answer is wealthy. Affluent describes having an abundance of money and resources, which matches wealthy. Poor is its opposite, and honest and weary describe unrelated traits.
BAFFLE most nearly means
- Puzzle
- Explain
- Assist
- Calm
Correct answer: Puzzle
The answer is puzzle. To baffle is to confuse someone so they cannot understand, which matches puzzle. Explain is closer to the opposite, and assist and calm describe different actions.
STERN most nearly means
- Gentle
- Strict
- Joyful
- Weak
Correct answer: Strict
The answer is strict. Stern describes being serious and firm in manner or discipline, which matches strict. Gentle is its opposite, and joyful and weak describe unrelated traits.
COMMENCE most nearly means
- Finish
- Delay
- Begin
- Cancel
Correct answer: Begin
The answer is begin. To commence is to start something, which matches begin. Finish is its opposite, and delay and cancel describe different actions.
FLAW most nearly means
- Strength
- Habit
- Reward
- Defect
Correct answer: Defect
The answer is defect. A flaw is an imperfection that mars something, which matches defect. Strength is closer to the opposite, and reward and habit describe unrelated things.
DEFICIT most nearly means
- Shortage
- Surplus
- Balance
- Profit
Correct answer: Shortage
The answer is shortage. A deficit is an amount by which something falls short of what is needed, which matches shortage. Surplus is its opposite, and balance and profit describe different financial states.
AGILE most nearly means
- Clumsy
- Nimble
- Lazy
- Rigid
Correct answer: Nimble
The answer is nimble. Agile describes being able to move quickly and easily, which matches nimble. Clumsy is its opposite, and lazy and rigid describe unrelated qualities.
RECTIFY most nearly means
- Ignore
- Worsen
- Correct
- Delay
Correct answer: Correct
The answer is correct. To rectify is to put right something that is wrong, which matches correct. Worsen is its opposite, and ignore and delay describe different responses.
BLUNDER most nearly means
- Success
- Plan
- Reward
- Mistake
Correct answer: Mistake
The answer is mistake. A blunder is a careless or clumsy error, which matches mistake. Success is closer to the opposite, and plan and reward describe unrelated things.
MUNDANE most nearly means
- Ordinary
- Exciting
- Rare
- Complex
Correct answer: Ordinary
The answer is ordinary. Mundane describes being commonplace and lacking interest, which matches ordinary. Exciting is closer to the opposite, and rare and complex describe different qualities.
AMIABLE most nearly means
- Hostile
- Friendly
- Shy
- Serious
Correct answer: Friendly
The answer is friendly. Amiable describes having a pleasant and good-natured manner, which matches friendly. Hostile is its opposite, and shy and serious describe different traits.
INHIBIT most nearly means
- Encourage
- Reveal
- Restrain
- Repair
Correct answer: Restrain
The answer is restrain. To inhibit is to hold back or prevent an action or process, which matches restrain. Encourage is closer to the opposite, and reveal and repair describe different actions.
STAGNANT most nearly means
- Flowing
- Fresh
- Rapid
- Motionless
Correct answer: Motionless
The answer is motionless. Stagnant describes having no movement or activity, which matches motionless. Flowing and rapid suggest the opposite, and fresh describes a different quality.
GENUINE most nearly means
- Authentic
- Fake
- Cheap
- Hidden
Correct answer: Authentic
The answer is authentic. Genuine describes being real and true rather than counterfeit, which matches authentic. Fake is its opposite, and cheap and hidden describe unrelated qualities.
LENIENT most nearly means
- Strict
- Merciful
- Harsh
- Rapid
Correct answer: Merciful
The answer is merciful. Lenient describes being tolerant and not severe in punishment, which matches merciful. Strict and harsh suggest the opposite, and rapid describes an unrelated quality.
PORTION most nearly means
- Whole
- Weight
- Share
- Color
Correct answer: Share
The answer is share. A portion is a part allotted from a larger amount, which matches share. Whole is closer to the opposite, and weight and color describe unrelated properties.
VIVID most nearly means
- Dull
- Faint
- Narrow
- Bright
Correct answer: Bright
The answer is bright. Vivid describes being intensely deep, clear, or strikingly colorful, which matches bright. Dull and faint suggest the opposite, and narrow describes a different quality.
DETACH most nearly means
- Separate
- Attach
- Repair
- Follow
Correct answer: Separate
The answer is separate. To detach is to disconnect or remove something from what it was joined to, which matches separate. Attach is its opposite, and repair and follow describe different actions.
BRISK most nearly means
- Sluggish
- Lively
- Quiet
- Warm
Correct answer: Lively
The answer is lively. Brisk describes being quick and full of energy, which matches lively. Sluggish is its opposite, and quiet and warm describe unrelated qualities.
COMPLY most nearly means
- Refuse
- Argue
- Obey
- Delay
Correct answer: Obey
The answer is obey. To comply is to act in accordance with a rule or request, which matches obey. Refuse is its opposite, and argue and delay describe different responses.
MEAGER most nearly means
- Plentiful
- Heavy
- Rich
- Scanty
Correct answer: Scanty
The answer is scanty. Meager describes being small in quantity and lacking fullness, which matches scanty. Plentiful is its opposite, and rich and heavy describe unrelated qualities.
RADIANT most nearly means
- Glowing
- Gloomy
- Rough
- Silent
Correct answer: Glowing
The answer is glowing. Radiant describes shining brightly and giving off light, which matches glowing. Gloomy is closer to the opposite, and rough and silent describe unrelated qualities.
HEED most nearly means
- Ignore
- Notice
- Destroy
- Delay
Correct answer: Notice
The answer is notice. To heed is to pay careful attention to something, which matches notice. Ignore is its opposite, and destroy and delay describe different actions.
SUPERFICIAL most nearly means
- Deep
- Thorough
- Shallow
- Honest
Correct answer: Shallow
The answer is shallow. Superficial describes being concerned only with the surface and lacking depth, which matches shallow. Deep and thorough suggest the opposite, and honest describes an unrelated quality.
ACQUIRE most nearly means
- Lose
- Spend
- Share
- Obtain
Correct answer: Obtain
The answer is obtain. To acquire is to come to possess or get something, which matches obtain. Lose is its opposite, and share and spend describe different actions.
TEDIOUS most nearly means
- Boring
- Brief
- Exciting
- Easy
Correct answer: Boring
The answer is boring. Tedious describes being long, dull, and tiresome, which matches boring. Exciting is closer to the opposite, and brief and easy describe different qualities.
DIMINISH most nearly means
- Expand
- Decrease
- Repeat
- Begin
Correct answer: Decrease
The answer is decrease. To diminish is to make or become smaller or less, which matches decrease. Expand is its opposite, and repeat and begin describe different actions.
ADEPT most nearly means
- Lazy
- Clumsy
- Skilled
- Fearful
Correct answer: Skilled
The answer is skilled. Adept describes being highly proficient at something, which matches skilled. Clumsy is closer to the opposite, and lazy and fearful describe unrelated traits.
HOSTILE most nearly means
- Friendly
- Curious
- Calm
- Antagonistic
Correct answer: Antagonistic
The answer is antagonistic. Hostile describes being unfriendly and opposed in a threatening way, which matches antagonistic. Friendly is its opposite, and calm and curious describe different states.
PROHIBIT most nearly means
- Forbid
- Allow
- Require
- Ignore
Correct answer: Forbid
The answer is forbid. To prohibit is to formally refuse to allow something, which matches forbid. Allow is its opposite, and require and ignore describe different actions.
FLUCTUATE most nearly means
- Freeze
- Vary
- Hold steady
- Stop
Correct answer: Vary
The answer is vary. To fluctuate is to rise and fall irregularly, which matches vary. Hold steady is closer to the opposite, and freeze and stop describe different states.
Of the four words below, which is most nearly OPPOSITE in meaning to GENEROUS?
- Kind
- Wealthy
- Stingy
- Open
Correct answer: Stingy
The answer is stingy. Generous means willing to give freely, so its opposite describes being unwilling to share, which is stingy. Kind and open are similar to generous, and wealthy describes an unrelated quality.
Of the four words below, which is most nearly OPPOSITE in meaning to EXPAND?
- Stretch
- Widen
- Build
- Contract
Correct answer: Contract
The answer is contract. Expand means to grow larger, so its opposite describes becoming smaller, which is contract. Stretch and widen are similar to expand, and build describes a different action.
Of the four words below, which is most nearly OPPOSITE in meaning to PERMANENT?
- Temporary
- Fixed
- Lasting
- Strong
Correct answer: Temporary
The answer is temporary. Permanent means meant to last indefinitely, so its opposite describes lasting only a short time, which is temporary. Lasting and fixed are similar to permanent, and strong describes an unrelated quality.
Of the four words below, which is most nearly OPPOSITE in meaning to BRAVE?
- Bold
- Cowardly
- Loyal
- Calm
Correct answer: Cowardly
The answer is cowardly. Brave means showing courage in the face of danger, so its opposite describes lacking courage, which is cowardly. Bold is similar to brave, and loyal and calm describe unrelated traits.
In the sentence "The squadron carried out the MERITORIOUS rescue under heavy fire," the word meritorious most nearly means
- Ordinary
- Reckless
- Praiseworthy
- Doubtful
Correct answer: Praiseworthy
The answer is praiseworthy. Here meritorious describes a rescue deserving recognition and reward, which matches praiseworthy. Reckless and doubtful suggest disapproval, and ordinary contradicts the sense of distinction.
In the sentence "The briefing was so AMBIGUOUS that no one knew the real objective," the word ambiguous most nearly means
- Clear
- Honest
- Lengthy
- Unclear
Correct answer: Unclear
The answer is unclear. In this context ambiguous describes a briefing open to more than one interpretation, which the phrase no one knew confirms, matching unclear. Clear is the opposite, and lengthy and honest describe qualities the sentence does not convey.
In the sentence "The recruit showed remarkable COMPOSURE during the surprise inspection," the word composure most nearly means
- Calmness
- Panic
- Anger
- Fatigue
Correct answer: Calmness
The answer is calmness. Here composure describes staying steady and self-controlled under pressure, which matches calmness. Panic is the opposite, and anger and fatigue describe states the sentence does not support.
In the sentence "The wing commander chose to DELEGATE the routine tasks to his staff," the word delegate most nearly means
- Cancel
- Assign
- Perform
- Delay
Correct answer: Assign
The answer is assign. In this sentence delegate describes handing responsibility for tasks to others, which matches assign. Perform is closer to the opposite action, and cancel and delay describe different responses.
In the sentence "The faulty sensor produced ERRONEOUS altitude readings," the word erroneous most nearly means
- Accurate
- Delayed
- Incorrect
- Constant
Correct answer: Incorrect
The answer is incorrect. Here erroneous describes readings that contain errors, which a faulty sensor would produce, matching incorrect. Accurate is the opposite, and delayed and constant describe qualities the sentence does not indicate.
In the sentence "The instructor praised the cadet's TENABLE argument during the debate," the word tenable most nearly means
- Weak
- Rude
- Lengthy
- Defensible
Correct answer: Defensible
The answer is defensible. In this context tenable describes an argument that can be reasonably held and supported, which the praise confirms, matching defensible. Weak is the opposite, and lengthy and rude describe qualities the sentence does not convey.
In the sentence "The mechanic gave a CURSORY glance at the engine before the flight," the word cursory most nearly means
- Hasty
- Thorough
- Careful
- Lengthy
Correct answer: Hasty
The answer is hasty. Here cursory describes a quick, surface-level look done without much attention, which matches hasty. Thorough and careful suggest the opposite, and lengthy describes a quality the sentence does not support.
In the sentence "The crew worked in TANDEM to load the cargo before dusk," the word tandem most nearly means
- Alone
- Reluctantly
- Slowly
- Together
Correct answer: Together
The answer is together. Here tandem describes the crew working in coordinated partnership at the same task, which matches together. Alone is the opposite, and reluctantly and slowly describe a manner the sentence does not convey.
Solve for x: $6x + 13 = 49$ .
- 6
- 5
- 7
- 8
Correct answer: 6
The value of x is 6. Subtract 13 from both sides to get 6x equals 36, then divide both sides by 6 to find x equals 6.
Solve for k: $5k - 18 = 2k + 6$ .
- 6
- 8
- 4
- 10
Correct answer: 8
The value of k is 8. Subtract 2k from both sides to get 3k minus 18 equals 6, add 18 to get 3k equals 24, then divide by 3 to find k equals 8.
Simplify the expression $7(2x - 5) + 3x$ .
- $17x - 35$
- $14x - 35$
- $17x + 35$
- $10x - 5$
Correct answer: $17x - 35$
The simplified expression is 17x minus 35. Distribute the 7 to get 14x minus 35, then combine 14x and 3x to get 17x, leaving 17x minus 35.
Solve the inequality $3x + 8 < 2$ for x.
- $x < -2$
- $x > -2$
- $x < 2$
- $x < -3$
Correct answer: $x < -2$
The solution is x less than negative 2. Subtract 8 from both sides to get 3x less than negative 6, then divide by 3, which keeps the direction because 3 is positive, giving x less than negative 2.
Solve the inequality $-4x + 3 > 19$ for x.
- $x > -4$
- $x < 4$
- $x < -4$
- $x > 4$
Correct answer: $x < -4$
The solution is x less than negative 4. Subtract 3 from both sides to get negative 4x greater than 16, then divide by negative 4, which flips the sign, giving x less than negative 4.
Factor the expression $x^{2} + 11x + 24$ .
- $(x + 4)(x + 6)$
- $(x + 2)(x + 12)$
- $(x + 3)(x + 8)$
- $(x - 3)(x - 8)$
Correct answer: $(x + 3)(x + 8)$
The factored form is (x plus 3)(x plus 8). The two numbers must multiply to 24 and add to 11, and 3 and 8 satisfy both conditions.
Factor the expression $x^{2} - 5x - 14$ .
- $(x - 2)(x + 7)$
- $(x + 2)(x - 7)$
- $(x - 1)(x + 14)$
- $(x + 2)(x + 7)$
Correct answer: $(x + 2)(x - 7)$
The factored form is (x plus 2)(x minus 7). The two numbers must multiply to negative 14 and add to negative 5, and positive 2 and negative 7 satisfy both conditions.
Solve the system $5x + 2y = 24$ and $5x - 2y = 6$ . What is the value of x?
- 3
- 2
- 4
- 5
Correct answer: 3
The value of x is 3. Adding the two equations eliminates y and gives 10x equals 30, so x equals 3.
What is the result of multiplying the binomials $(x + 7)(x - 4)$ ?
- $x^{2} - 3x - 28$
- $x^{2} + 11x - 28$
- $x^{2} + 3x - 28$
- $x^{2} + 3x + 28$
Correct answer: $x^{2} + 3x - 28$
The product is x squared plus 3x minus 28. Multiply the first terms to get x squared, the outer and inner terms negative 4x and 7x combine to positive 3x, and the last terms 7 times negative 4 give negative 28.
Solve for x: $\frac{4x + 6}{2} = 11$ .
- 5
- 3
- 4
- 6
Correct answer: 4
The value of x is 4. Multiply both sides by 2 to get 4x plus 6 equals 22, subtract 6 to get 4x equals 16, then divide by 4 to find x equals 4.
If $r = 6$ and $s = -4$ , what is the value of $r^{2} + 2s$ ?
- 28
- 44
- 20
- 32
Correct answer: 28
The value is 28. Substitute to get 6 squared plus 2 times negative 4, which is 36 minus 8. That equals 28.
Solve for p: $4(p + 3) = 2(p + 11)$ .
- 3
- 5
- 4
- 6
Correct answer: 5
The value of p is 5. Distribute both sides to get 4p plus 12 equals 2p plus 22, subtract 2p to get 2p plus 12 equals 22, subtract 12 to get 2p equals 10, then divide by 2 to find p equals 5.
One root of $x^{2} - 2x - 35 = 0$ is $x = 7$ . What is the other root?
- 5
- -5
- -7
- -35
Correct answer: -5
The other root is negative 5. The quadratic factors into (x minus 7)(x plus 5) equals 0 because the factors multiply to negative 35 and add to negative 2. Setting x plus 5 equal to 0 gives x equals negative 5.
Solve for x: $\frac{x}{2} + \frac{x}{5} = 14$ .
- 20
- 14
- 10
- 28
Correct answer: 20
The value of x is 20. Combine the fractions using a common denominator of 10 to get 5x over 10 plus 2x over 10, which is 7x over 10. So 7x over 10 equals 14, and multiplying both sides by 10 gives 7x equals 140, so x equals 20.
Combine like terms in the expression $8t - 5 - 3t + 12$ .
- 11t + 7
- 5t + 17
- 5t + 7
- 5t - 7
Correct answer: 5t + 7
The simplified expression is 5t plus 7. Combine the t terms 8t and negative 3t to get 5t, and combine the constants negative 5 and 12 to get positive 7.
Solve for x: $\frac{5}{6}x = 25$ .
- 30
- 20
- 36
- 24
Correct answer: 30
The value of x is 30. Multiply both sides by the reciprocal 6/5 to isolate x, so x equals $25 \times 6$ over 5, which is 150 over 5, equaling 30.
If $9x - 7 = 6x + 11$ , what is the value of x?
- 5
- 7
- 6
- 4
Correct answer: 6
The value of x is 6. Subtract 6x from both sides to get 3x minus 7 equals 11, add 7 to get 3x equals 18, then divide by 3 to find x equals 6.
Solve the inequality $14 - 7x \le 0$ for x.
- $x \le 2$
- $x \ge -2$
- $x \ge 2$
- $x \le -2$
Correct answer: $x \ge 2$
The solution is x greater than or equal to 2. Subtract 14 from both sides to get negative 7x less than or equal to negative 14, then divide by negative 7, which flips the sign, giving x greater than or equal to 2.
Simplify the expression $4(2x - 1) - 2(3x - 5)$ .
- $2x + 6$
- $14x - 14$
- $2x - 6$
- $2x + 14$
Correct answer: $2x + 6$
The simplified expression is 2x plus 6. Distribute to get 8x minus 4 minus 6x plus 10, then combine 8x and negative 6x to get 2x and combine negative 4 and 10 to get positive 6.
If $f(x) = 4x^{2} - 3x + 2$ , what is $f(2)$ ?
- 12
- 16
- 10
- 18
Correct answer: 12
The value of f(2) is 12. Substitute 2 for x to get $4 \times 2$ squared minus $3 \times 2$ plus 2, which is $4 \times 4$ minus 6 plus 2, equaling 16 minus 6 plus 2, or 12.
Factor the expression $16x^{2} - 9$ .
- $(4x - 3)(4x - 3)$
- $(4x + 3)(4x + 3)$
- $(4x - 3)(4x + 3)$
- $(8x - 3)(2x + 3)$
Correct answer: $(4x - 3)(4x + 3)$
The factored form is (4x minus 3)(4x plus 3). This is a difference of squares because 16x squared equals (4x) squared and 9 equals 3 squared, so it factors into the sum and difference of 4x and 3.
Solve for v: $3v + 14 = 8v - 6$ .
- 3
- 5
- 4
- 6
Correct answer: 4
The value of v is 4. Subtract 3v from both sides to get 14 equals 5v minus 6, add 6 to get 20 equals 5v, then divide by 5 to find v equals 4.
Solve the system $3x + y = 17$ and $5x - y = 23$ . What is the value of x?
- 4
- 5
- 6
- 3
Correct answer: 5
The value of x is 5. Adding the two equations eliminates y and gives 8x equals 40, so x equals 5.
Simplify the expression $(c + 9)(c - 9)$ .
- $c^{2} - 18c + 81$
- $c^{2} - 81$
- $c^{2} + 81$
- $c^{2} - 18$
Correct answer: $c^{2} - 81$
The product is c squared minus 81. The outer and inner terms negative 9c and positive 9c cancel, leaving the first terms c squared and the last terms 9 times negative 9, which is negative 81.
The phrase four more than the product of seven and a number n is written as which expression?
- $7n - 4$
- $4 - 7n$
- $7(n + 4)$
- $7n + 4$
Correct answer: $7n + 4$
The correct expression is 7n plus 4. The product of seven and a number is 7n, and four more than that quantity means adding 4, giving 7n plus 4.
If $5x^{2} = 80$ , and x is positive, what is the value of x?
- 16
- 4
- 8
- 6
Correct answer: 4
The value of x is 4. Divide both sides by 5 to get x squared equals 16, then take the positive square root to find x equals 4.
Solve for x: $20 - 4(x + 3) = 4$ .
- 1
- 2
- 3
- 4
Correct answer: 1
The value of x is 1. Distribute the negative 4 to get 20 minus 4x minus 12 equals 4, simplify to 8 minus 4x equals 4, so 4x equals 4 and x equals 1.
Solve the system $y = 4x$ and $2x + y = 30$ . What is the value of x?
- 6
- 5
- 4
- 3
Correct answer: 5
The value of x is 5. Substitute 4x for y in the second equation to get 2x plus 4x equals 30, which is 6x equals 30, so x equals 5.
What is the absolute value of $-17$ ?
- $-17$
- 0
- $17$
- $\frac{1}{17}$
Correct answer: $17$
The value is 17. Absolute value measures distance from zero on the number line and is never negative, so the absolute value of negative 17 is 17.
Solve the absolute value equation the absolute value of x equals 9. Which set lists all solutions?
- $9$ only
- $-9$ only
- $0$ and $9$
- $9$ and $-9$
Correct answer: $9$ and $-9$
The solutions are 9 and negative 9. A number with an absolute value of 9 is exactly 9 units from zero, and both 9 and negative 9 are 9 units away, so both satisfy the equation.
What is the value of $4^{5}$ ?
- 20
- 256
- 1024
- 625
Correct answer: 1024
The value is 1024. An exponent of 5 means the base is multiplied by itself five times, so $4 \times 4$ times $4 \times 4$ times 4 equals 1024.
Evaluate the expression $9 + 6 \div 3$ .
- 5
- 11
- 15
- 3
Correct answer: 11
The value is 11. Order of operations requires division before addition, so $6 \div 3$ equals 2 first, then 9 plus 2 equals 11.
Evaluate the expression $(9 - 6)^{3} + 4 \times 3$ .
- 39
- 27
- 21
- 63
Correct answer: 39
The value is 39. Inside the parentheses 9 minus 6 equals 3, cubing gives 27, multiplication gives $4 \times 3$ equals 12, and adding gives 27 plus 12, or 39.
Write w to the sixth power times w to the sixth power as a single power of w.
- $w^{36}$
- $w^{12}$
- $w^{1}$
- $w^{2}$
Correct answer: $w^{12}$
The value is w to the twelfth power. When multiplying powers with the same base, add the exponents, so 6 plus 6 equals 12, giving w to the twelfth power.
Simplify (p to the twelfth power) divided by (p to the fifth power).
- $p^{17}$
- $p^{7}$
- $p^{60}$
- $p^{3}$
Correct answer: $p^{7}$
The value is p to the seventh power. When dividing powers with the same base, subtract the exponents, so 12 minus 5 equals 7, giving p to the seventh power.
Evaluate the expression $54 \div 9 + 4 \times 6$ .
- 30
- 18
- 12
- 42
Correct answer: 30
The value is 30. Division and multiplication come first, so $54 \div 9$ equals 6 and $4 \times 6$ equals 24. Then 6 plus 24 equals 30.
What is the value of $(3^{3})^{2}$ ?
- 243
- 729
- 81
- 18
Correct answer: 729
The value is 729. When a power is raised to another power, multiply the exponents, so $3 \times 2$ equals 6, giving 3 to the sixth power, which equals 729.
Evaluate the expression $100 - 5^{2} \div 5$ .
- 95
- 75
- 85
- 15
Correct answer: 95
The value is 95. The exponent comes first, so 5 squared equals 25, then division gives $25 \div 5$ equals 5, and finally 100 minus 5 equals 95.
What is the value of $4^{-2}$ ?
- $-16$
- $\frac{1}{16}$
- $-8$
- $\frac{1}{8}$
Correct answer: $\frac{1}{16}$
The value is 1/16. A negative exponent means the reciprocal of the positive power, so 4 to the negative second power equals $1 \div 4$ squared, which is 1 over 16.
Evaluate the expression $6 \times (8 - 5)^{2}$ .
- 324
- 54
- 108
- 36
Correct answer: 54
The value is 54. Inside the parentheses 8 minus 5 equals 3, squaring gives 9, and multiplying by 6 gives 54.
Simplify the expression $(4x^{4})(2x^{3})$ .
- $6x^{7}$
- $8x^{12}$
- $8x^{7}$
- $8x^{3}$
Correct answer: $8x^{7}$
The simplified expression is 8x to the seventh power. Multiply the coefficients 4 and 2 to get 8, and add the exponents 4 and 3 to get x to the seventh power.
What is the value of $6^{0}$ ?
- 6
- 1
- 0
- Undefined
Correct answer: 1
The value is 1. By the zero-exponent rule, any nonzero base raised to the power of zero equals 1, so 6 to the zero power is 1.
What is $\sqrt{196}$ ?
- 12
- 16
- 14
- 18
Correct answer: 14
The value is 14. The square root asks which number multiplied by itself gives 196, and since $14 \times 14 = 196$ , the $\sqrt{196}$ is 14.
Evaluate the expression $50 - (3 + 4 \times 6)$ .
- 23
- 47
- 13
- 5
Correct answer: 23
The value is 23. Inside the parentheses, multiplication comes first so $4 \times 6$ equals 24, then 3 plus 24 equals 27. Finally 50 minus 27 equals 23.
What is the value of $5^{2} - 2^{3}$ ?
- 17
- 29
- 33
- 11
Correct answer: 17
The value is 17. Evaluate each power first: 5 squared is 25 and 2 cubed is 8. Subtracting gives 25 minus 8, which equals 17.
How is the number $730{,}000$ written in scientific notation?
- $73 \times 10^{4}$
- $7.3 \times 10^{5}$
- $7.3 \times 10^{4}$
- $0.73 \times 10^{6}$
Correct answer: $7.3 \times 10^{5}$
The value is $7.3 \times 10$ to the fifth power. Scientific notation requires a single nonzero digit before the decimal, so 730,000 becomes 7.3 with the decimal moved 5 places, giving an exponent of 5.
What is the value of $\sqrt{100}$ plus $\sqrt{36}$ ?
- 8
- 16
- 136
- 14
Correct answer: 16
The value is 16. The $\sqrt{100}$ is 10 and the $\sqrt{36}$ is 6, so adding them gives 10 plus 6, which equals 16.
Evaluate the expression $8 + 2 \times 4^{2} - 5$ .
- 35
- 155
- 29
- 45
Correct answer: 35
The value is 35. The exponent first gives 4 squared equals 16, then multiplication gives $2 \times 16$ equals 32. Working left to right, 8 plus 32 equals 40, and 40 minus 5 equals 35.
Simplify the expression $6^{3} \times 6^{2}$ as a single power of 6.
- $6^{6}$
- $36^{5}$
- $6^{5}$
- $6^{1}$
Correct answer: $6^{5}$
The value is 6 to the fifth power. When multiplying powers with the same base, add the exponents, so 3 plus 2 equals 5, giving 6 to the fifth power.
Evaluate the expression $\frac{24 + 12}{2^{2}}$ .
- 18
- 12
- 6
- 9
Correct answer: 9
The value is 9. Work the grouped parts first: 24 plus 12 equals 36 and 2 squared equals 4. Then $36 \div 4$ equals 9.
What is the area of a triangle with a base of 16 inches and a height of 5 inches?
- 80 square inches
- 21 square inches
- 40 square inches
- 26 square inches
Correct answer: 40 square inches
The area is 40 square inches. The area of a triangle equals one-half times base times height, so one-half times $16 \times 5$ equals one-half times 80, which is 40 square inches.
A right triangle has legs of 8 and 15. What is the length of the hypotenuse?
- 23
- 17
- 19
- 21
Correct answer: 17
The hypotenuse is 17. By the Pythagorean theorem, the hypotenuse squared equals $8^2 + 15^2$ , which is $64 + 225$ , or 289. The $\sqrt{289}$ is 17.
What is the perimeter of an equilateral triangle with a side length of 11 centimeters?
- 22 centimeters
- 44 centimeters
- 33 centimeters
- 121 centimeters
Correct answer: 33 centimeters
The perimeter is 33 centimeters. An equilateral triangle has three equal sides, so the perimeter equals 3 times the side length, and $3 \times 11$ equals 33 centimeters.
Two angles of a triangle measure 45 degrees and 75 degrees. What is the measure of the third angle?
- 70 degrees
- 60 degrees
- 50 degrees
- 120 degrees
Correct answer: 60 degrees
The third angle is 60 degrees. The interior angles of any triangle sum to 180 degrees, so subtract the known angles: 180 minus 45 minus 75 equals 60 degrees.
What is the circumference of a circle with a diameter of 8, using $\pi \approx 3.14$ ?
- 50.24
- 12.56
- 25.12
- 16
Correct answer: 25.12
The circumference is 25.12. The circumference of a circle equals pi times the diameter, so $3.14 \times 8$ equals 25.12.
What is the volume of a rectangular box that is 6 by 4 by 5 units?
- 15 cubic units
- 120 cubic units
- 60 cubic units
- 74 cubic units
Correct answer: 120 cubic units
The volume is 120 cubic units. The volume of a rectangular box equals length times width times height, so $6 \times 4$ times 5 equals 120 cubic units.
Two angles are complementary and one measures 25 degrees. What is the measure of the other angle?
- 155 degrees
- 65 degrees
- 75 degrees
- 55 degrees
Correct answer: 65 degrees
The other angle is 65 degrees. Complementary angles sum to 90 degrees, so subtract the known angle: 90 minus 25 equals 65 degrees.
What is the distance between the points $(1, 2)$ and $(4, 6)$ on the coordinate plane?
- 7
- 5
- 25
- 12
Correct answer: 5
The distance is 5. The horizontal change is $4 - 1$ , or 3, and the vertical change is $6 - 2$ , or 4. By the Pythagorean relationship, the distance equals $\sqrt{3^2 + 4^2}$ , which is $\sqrt{25}$ , or 5.
Two angles are supplementary and one measures 65 degrees. What is the measure of the other angle?
- 25 degrees
- 115 degrees
- 125 degrees
- 295 degrees
Correct answer: 115 degrees
The other angle is 115 degrees. Supplementary angles sum to 180 degrees, so subtract the known angle: 180 minus 65 equals 115 degrees.
Read the passage and answer the question. The octopus is widely regarded as the most intelligent invertebrate. It can solve puzzles, open jars to reach food, and even recognize individual human handlers. What makes this remarkable is that the octopus achieved such abilities along an evolutionary path entirely separate from that of mammals. What is the main idea of this passage?
- The octopus displays striking intelligence despite an evolutionary history separate from mammals.
- The octopus can open jars to reach the food inside.
- Octopuses are able to recognize the people who care for them.
- Most invertebrates are not considered intelligent.
Correct answer: The octopus displays striking intelligence despite an evolutionary history separate from mammals.
The main idea is that the octopus displays striking intelligence despite an evolutionary history separate from mammals. The passage lists problem-solving abilities and then stresses the wonder that these arose on a path independent of mammals. The jar-opening and handler-recognition lines are supporting examples, and the claim about invertebrates in general is never the focus.
Read the passage and answer the question. Many shoppers believe that a higher price always signals higher quality. Studies of blind taste tests, however, show that people often cannot tell expensive products from cheaper ones once the labels are hidden. Much of what we are paying for is the expectation a price creates, not the product itself. What is the central point of this passage?
- Expensive products are always better than cheaper ones.
- Higher prices do not reliably indicate higher quality, since expectation shapes our judgment.
- Blind taste tests are difficult for most people to pass.
- Shoppers should always buy the cheapest product available.
Correct answer: Higher prices do not reliably indicate higher quality, since expectation shapes our judgment.
The central point is that higher prices do not reliably indicate higher quality, since expectation shapes our judgment. The passage sets up the common belief and then refutes it with blind taste-test evidence, ending on the role of expectation. The other choices restate the belief the passage rejects, isolate a detail, or push an extreme advice the passage never gives.
Read the passage and answer the question. The Great Barrier Reef is sometimes described as a single living structure, but it is actually built by billions of tiny animals called polyps. Each polyp secretes a hard skeleton, and over thousands of years these skeletons accumulate into the vast formation we see today. The reef is less an object than the lasting record of countless small lives. Which statement best expresses the main idea?
- Coral polyps each secrete a hard outer skeleton.
- The Great Barrier Reef took thousands of years to form.
- The reef is the accumulated work of billions of individual polyps over vast stretches of time.
- Many people think of the reef as a single structure.
Correct answer: The reef is the accumulated work of billions of individual polyps over vast stretches of time.
The main idea is that the reef is the accumulated work of billions of individual polyps over vast stretches of time. The passage corrects the single-structure image and explains how individual skeletons build up into the whole. The other choices isolate one supporting detail or the opening misconception rather than the unifying point.
Read the passage and answer the question. The airline pilot announced that the flight would be delayed, then noticed the maintenance crew rolling heavy equipment toward the right engine. Mechanics opened a panel, conferred over a clipboard, and the gate agent quietly began rebooking the connecting passengers. What can you most reasonably infer from this passage?
- The flight will depart ahead of schedule.
- The airline is celebrating the launch of a new route.
- The passengers have all decided not to travel.
- A mechanical problem with the aircraft is causing the delay.
Correct answer: A mechanical problem with the aircraft is causing the delay.
The most reasonable inference is that a mechanical problem with the aircraft is causing the delay. The maintenance crew at the engine, the open panel, and the rebooking of connections all point to a repair issue rather than a routine wait. An early departure contradicts the delay, the passengers being rebooked are still traveling, and nothing suggests a celebration.
Read the passage and answer the question. For decades, scientists assumed that the deep ocean floor was a barren desert, too dark and cold to support much life. Then explorers discovered hydrothermal vents teeming with strange creatures that draw energy from chemicals rather than sunlight. The discovery overturned long-held ideas about where life can exist. What is the main idea of this passage?
- The discovery of vent life overturned the belief that the deep sea floor was barren.
- The deep ocean is dark and very cold.
- Hydrothermal vents release heat and chemicals into the water.
- Some sea creatures live far from any sunlight.
Correct answer: The discovery of vent life overturned the belief that the deep sea floor was barren.
The main idea is that the discovery of vent life overturned the belief that the deep sea floor was barren. The passage moves from the old assumption to the surprising vent communities that reversed it. The other choices each capture a supporting detail about vents, conditions, or sunlight rather than the central reversal.
Read the passage and answer the question. The usually crowded marketplace was nearly empty by midmorning. The few vendors who remained were hastily folding their awnings and loading crates into trucks, glancing again and again at the darkening sky to the west. What can be inferred from this passage?
- The vendors are setting up for a busy day of selling.
- A storm appears to be approaching, prompting the vendors to leave.
- The marketplace has been permanently shut down.
- The vendors are waiting for more customers to arrive.
Correct answer: A storm appears to be approaching, prompting the vendors to leave.
The inference is that a storm appears to be approaching, prompting the vendors to leave. The darkening western sky and the hurried packing of awnings and crates point to vendors retreating before bad weather. Setting up and waiting for customers contradict their leaving, and a single early closure does not indicate a permanent shutdown.
Read the passage and answer the question. A common belief holds that goldfish have a memory of only a few seconds. Careful experiments tell a different story. Goldfish can be trained to push levers for food, learn to navigate simple mazes, and remember these tasks weeks later. The myth of the forgetful goldfish has little basis in fact. Which choice best states the main idea?
- Goldfish can learn to push levers in exchange for food.
- Some experiments involve training fish to run through mazes.
- Despite the popular myth, goldfish actually have a lasting memory.
- Goldfish are a commonly kept type of pet.
Correct answer: Despite the popular myth, goldfish actually have a lasting memory.
The main idea is that despite the popular myth, goldfish actually have a lasting memory. The passage states the myth and then refutes it with examples of training that goldfish recall weeks later. The other choices isolate a single experiment or an unrelated fact rather than the central correction.
Read the passage and answer the question. The quiet bookkeeper had worked at the firm for years without notice. After the audit, however, several managers stopped by his office to shake his hand, the owner mentioned his name warmly in a meeting, and a reserved parking space suddenly appeared with his name on it. What can you most reasonably infer about the bookkeeper?
- He is about to be dismissed from the firm.
- He has decided to retire from the company.
- The other employees resent his recent attention.
- His work during the audit earned him new recognition.
Correct answer: His work during the audit earned him new recognition.
The most reasonable inference is that his work during the audit earned him new recognition. The handshakes, warm mention, and reserved parking space following the audit all signal newfound appreciation. Dismissal and retirement contradict these rewards, and the passage shows recognition rather than resentment from others.
Read the passage and answer the question. Recycling is often praised as the answer to our waste problem, yet it is only the last and least effective of three steps. Reducing how much we consume and reusing what we already own both prevent waste before it begins. Recycling merely manages waste that better habits could have avoided entirely. What is the central message of this passage?
- Reducing and reusing are more effective than recycling because they prevent waste in the first place.
- Recycling is the most important way to handle waste.
- People should recycle as much as they possibly can.
- Managing waste requires expensive equipment and facilities.
Correct answer: Reducing and reusing are more effective than recycling because they prevent waste in the first place.
The central message is that reducing and reusing are more effective than recycling because they prevent waste in the first place. The passage downgrades recycling to the last step and stresses that reducing and reusing stop waste before it starts. The other choices overstate recycling's value or introduce an unstated point about equipment.
Read the passage and answer the question. The young chess player studied the board, reached confidently for her queen, then froze with her hand hovering above the piece. She pulled her hand back, scanned the far corner of the board, and let out a slow breath before choosing a different move. What can be inferred about the chess player?
- She has already lost the game and is giving up.
- She noticed a danger she had nearly overlooked.
- She does not understand the rules of chess.
- She is playing against a much weaker opponent.
Correct answer: She noticed a danger she had nearly overlooked.
The inference is that she noticed a danger she had nearly overlooked. Freezing mid-move, rescanning the board, and changing her choice suggest she caught a threat just before making a mistake. Giving up contradicts her continued play, her careful reconsideration shows she knows the rules, and nothing indicates the opponent's strength.
Read the passage and answer the question. The ordinary household sponge is a marvel of simple engineering. Its countless tiny pores draw in water through a natural pulling force, holding far more liquid than its small size would suggest. When squeezed, it releases that water just as readily, making it endlessly reusable. What is the main idea of this passage?
- Sponges have many tiny pores on their surface.
- A sponge can be squeezed to release the water it holds.
- The simple sponge cleverly absorbs and releases far more water than its size suggests.
- Household tools are often taken for granted.
Correct answer: The simple sponge cleverly absorbs and releases far more water than its size suggests.
The main idea is that the simple sponge cleverly absorbs and releases far more water than its size suggests. The passage frames the sponge as clever engineering and explains both how it draws in and releases water. The other choices each name one mechanical detail or a broad observation rather than the central appreciation of the sponge's design.
Read the passage and answer the question. The coach watched the rookie sprint the final lap, glancing at his stopwatch and then again in disbelief. He showed the time to an assistant, who shook her head and laughed, and the two immediately began discussing which championship races to enter the rookie in. What can you most reasonably infer about the rookie?
- The rookie ran a disappointingly slow time.
- The rookie has decided to quit the team.
- The coach is unhappy with the rookie's effort.
- The rookie posted an unexpectedly fast time.
Correct answer: The rookie posted an unexpectedly fast time.
The most reasonable inference is that the rookie posted an unexpectedly fast time. The coach's double take at the stopwatch, the laughter of disbelief, and the talk of championship races all signal an impressive result. A slow time, quitting, and coach disapproval all conflict with the excitement over entering big races.
Read the passage and answer the question. The invention of the wheel is often imagined as a single flash of insight, but the earliest wheels were not used for transport at all. They first appeared as potters' wheels for shaping clay. Only centuries later did someone think to turn the idea on its side and roll it across the ground. What is the central point of this passage?
- The earliest wheels were used to shape clay before they were ever used for transport.
- Pottery was an important craft in ancient times.
- The wheel was invented in a single moment of insight.
- Transport became faster once the wheel was invented.
Correct answer: The earliest wheels were used to shape clay before they were ever used for transport.
The central point is that the earliest wheels were used to shape clay before they were ever used for transport. The passage corrects the flash-of-insight image and explains that potters' wheels came first and transport much later. The other choices restate the misconception, mention an unrelated detail about pottery, or focus on transport speed rather than the surprising origin.
Read the passage and answer the question. The substitute teacher walked into a classroom of students who fell silent the moment she entered. A single chalkboard eraser lay balanced on top of the slightly open door, and several students were biting back grins as they watched her approach it. What can be inferred from this passage?
- The students have prepared a welcoming gift for the teacher.
- The students have set up a prank for the teacher.
- The teacher has taught this class many times before.
- The classroom is empty when the teacher arrives.
Correct answer: The students have set up a prank for the teacher.
The inference is that the students have set up a prank for the teacher. The balanced eraser on the door and the students suppressing grins point to a planned trick. A welcoming gift would not be hidden on a door, the sudden silence suggests an unfamiliar substitute, and the students are clearly present in the room.
Read the passage and answer the question. Fireflies do not glow by accident. The cold light they produce comes from a chemical reaction so efficient that almost none of its energy is lost as heat. Engineers studying these insects hope to design lighting that wastes far less power than the bulbs we use today. Which choice best states the main idea?
- Fireflies are commonly seen on warm summer nights.
- A chemical reaction inside the firefly produces light.
- The firefly's highly efficient natural light is inspiring more efficient human lighting.
- Modern light bulbs waste a great deal of energy.
Correct answer: The firefly's highly efficient natural light is inspiring more efficient human lighting.
The main idea is that the firefly's highly efficient natural light is inspiring more efficient human lighting. The passage describes the firefly's nearly heat-free glow and then connects it to engineers seeking better lighting. The other choices isolate a detail about fireflies, their chemistry, or bulb inefficiency rather than the central link between the two.
Read the passage and answer the question. The restaurant that once required reservations weeks in advance now had empty tables every night. A new menu had quietly replaced the dishes regulars loved, several longtime cooks had left, and online reviews mentioned slow service and smaller portions. What can you most reasonably infer about the restaurant?
- The restaurant has become more popular than ever.
- Customers prefer the new menu to the old one.
- The restaurant is closed for renovations.
- Recent changes have driven away the restaurant's customers.
Correct answer: Recent changes have driven away the restaurant's customers.
The most reasonable inference is that recent changes have driven away the restaurant's customers. The new menu, departed cooks, poor reviews, and empty tables together explain the drop from full reservations to vacancy. Greater popularity and a preference for the new menu contradict the empty tables and complaints, and the restaurant is still open and serving.
Read the passage and answer the question. Great bridges are admired for their graceful spans, yet their true strength lies hidden. Deep beneath the water, massive foundations anchor the structure against currents, storms, and the constant weight above. The beauty we see depends entirely on the unseen work below. What is the main idea of this passage?
- A bridge's visible beauty rests on the hidden strength of its underwater foundations.
- Currents and storms place stress on large bridges.
- Bridges are often admired for their graceful appearance.
- Foundations are buried deep beneath the water.
Correct answer: A bridge's visible beauty rests on the hidden strength of its underwater foundations.
The main idea is that a bridge's visible beauty rests on the hidden strength of its underwater foundations. The passage contrasts the admired span with the unseen foundations and concludes that the beauty depends on that hidden work. The other choices each capture only the appearance, the stresses, or the location of the foundations.
Read the passage and answer the question. The normally confident lawyer paused longer than usual before answering the judge's question. He shuffled through his notes twice, cleared his throat, and asked for a brief recess to consult with his client. What can be inferred about the lawyer in this moment?
- He is completely prepared and certain of his case.
- He has been caught off guard and needs time to regroup.
- He has already won the case and is celebrating.
- He does not respect the authority of the judge.
Correct answer: He has been caught off guard and needs time to regroup.
The inference is that he has been caught off guard and needs time to regroup. The unusual pause, repeated shuffling of notes, throat-clearing, and request for a recess all signal that the question unsettled his usual confidence. Full certainty contradicts his hesitation, the case is clearly ongoing, and asking the judge for a recess shows respect rather than defiance.
Read the passage and answer the question. The term saltwater is misleading when applied to the human body. Our blood, sweat, and tears all carry dissolved salt in proportions strikingly close to seawater. Some scientists see in this resemblance a faint echo of the ancient oceans where life first began. Which statement best captures the main idea?
- Human blood, sweat, and tears all contain dissolved salt.
- Sweat tastes salty when it reaches the skin.
- The salt content of our bodily fluids echoes the ancient seas where life arose.
- Life on Earth first appeared in the ocean.
Correct answer: The salt content of our bodily fluids echoes the ancient seas where life arose.
The main idea is that the salt content of our bodily fluids echoes the ancient seas where life arose. The passage notes the salt in blood, sweat, and tears and frames it as a remnant of the oceans where life began. The other choices isolate a detail about which fluids are salty, how sweat tastes, or where life started without the connecting idea.
Read the passage and answer the question. The hikers found the cabin door swinging open, a half-eaten meal still warm on the table, and a chair tipped over on the floor. A single boot lay near the threshold, and muddy footprints led down the trail away from the cabin. What can you most reasonably infer happened?
- The cabin's occupant left calmly after finishing a meal.
- The cabin has been abandoned for many years.
- The hikers themselves had stayed in the cabin earlier.
- Someone left the cabin suddenly and in a hurry.
Correct answer: Someone left the cabin suddenly and in a hurry.
The most reasonable inference is that someone left the cabin suddenly and in a hurry. The warm half-eaten meal, tipped chair, dropped boot, and open door all suggest a hasty, unplanned departure. A calm exit would not leave food and a boot behind, the warm meal rules out long abandonment, and nothing connects the hikers to a prior stay.
Read the passage and answer the question. Vaccines work in a way that seems almost paradoxical. By introducing a harmless piece or weakened form of a germ, they teach the immune system to recognize the real threat before it ever arrives. When the actual germ appears, the body is already prepared to fight it off. What is the central point of this passage?
- Vaccines prepare the immune system to fight a germ before a real infection occurs.
- Germs can cause serious illness if left unchecked.
- The immune system can recognize many different germs.
- Some vaccines use a weakened form of a germ.
Correct answer: Vaccines prepare the immune system to fight a germ before a real infection occurs.
The central point is that vaccines prepare the immune system to fight a germ before a real infection occurs. The passage explains how a harmless version trains the body so it is ready when the true germ arrives. The other choices mention germs, the immune system, or vaccine composition without capturing this central function.
Read the passage and answer the question. The boy who had begged for a puppy now stood at the back door, leash in hand, looking out at the rain. He set the leash down, wandered to the couch, and turned on the television while the eager dog waited by the door. What can be inferred about the boy?
- He no longer wants to keep the dog.
- He is reluctant to walk the dog in the rain.
- He is afraid of the puppy he asked for.
- He is hurrying to take the dog outside.
Correct answer: He is reluctant to walk the dog in the rain.
The inference is that he is reluctant to walk the dog in the rain. Picking up the leash, looking at the rain, then setting it down and turning on the television shows he is putting off the walk because of the weather. The passage gives no sign he wants to give up the dog or fears it, and abandoning the leash is the opposite of hurrying outside.
Read the passage and answer the question. The word disaster comes from old roots meaning bad star. Long ago, people believed that misfortunes were written in the heavens and that an ill-placed planet could doom a voyage or a battle. The word survives even though almost no one today blames the stars for their troubles. What is the main idea of this passage?
- People once believed the positions of the stars controlled human events.
- Many ancient battles were lost due to bad planning.
- The word disaster preserves an old belief that the stars caused misfortune.
- Modern people rarely think about astronomy.
Correct answer: The word disaster preserves an old belief that the stars caused misfortune.
The main idea is that the word disaster preserves an old belief that the stars caused misfortune. The passage traces the word to bad star and notes it endures despite the belief fading. The other choices describe the belief itself, an unrelated detail about battles, or modern attitudes without the central point about the word's survival.
Read the passage and answer the question. The scientist set up her telescope earlier than usual, checked the forecast three times, and kept glancing toward the eastern horizon. She had circled this single date on her calendar months ago and refused all other appointments for the evening. What can you most reasonably infer about the evening?
- The scientist dislikes working at night.
- The scientist is testing a newly purchased telescope.
- The scientist plans to cancel her observations.
- The scientist expects an important astronomical event.
Correct answer: The scientist expects an important astronomical event.
The most reasonable inference is that the scientist expects an important astronomical event. The long-circled date, repeated forecast checks, cleared schedule, and watching the horizon all point to a planned observation of something special. Testing equipment would not require a specific date, and clearing her evening shows commitment rather than a plan to cancel or a dislike of night work.
Read the passage and answer the question. The spice trade did more than carry pepper and cinnamon across the world. In their search for spices, merchants opened new sea routes, funded daring voyages, and connected cultures that had never before met. The hunt for flavor reshaped the map of the world. Which choice best states the main idea?
- The pursuit of spices drove exploration that reshaped global connections.
- Spices were highly valued in the ancient world.
- Merchants carried pepper and cinnamon over long distances.
- Sea voyages were dangerous in earlier centuries.
Correct answer: The pursuit of spices drove exploration that reshaped global connections.
The main idea is that the pursuit of spices drove exploration that reshaped global connections. The passage says the spice trade did more than move goods and lists the routes, voyages, and cultural links it created. The other choices isolate the goods carried, the value of spices, or the danger of voyages rather than the central effect on the world.
Read the passage and answer the question. The usually rowdy locker room had gone quiet. Players sat with towels over their heads, the coach stared silently at the floor, and the scoreboard outside still showed the final margin from the championship game they had just lost. What can be inferred about the team?
- The team is celebrating a hard-won victory.
- The team is disappointed by losing an important game.
- The team is preparing to start the game.
- The players are angry at their fans.
Correct answer: The team is disappointed by losing an important game.
The inference is that the team is disappointed by losing an important game. The silence, covered heads, downcast coach, and the losing final score all reflect the letdown of a championship defeat. Celebration contradicts the somber mood, the game has already ended rather than starting, and there is no mention of anger at fans.
Read the passage and answer the question. Maps of the night sky group stars into constellations, but the stars in any given pattern have nothing to do with one another. They lie at wildly different distances, some far behind others, joined only by the chance angle from which we view them. The shapes we see are illusions of perspective. What is the main idea of this passage?
- Constellations are useful for finding directions at night.
- Stars lie at many different distances from Earth.
- The stars in a constellation appear linked only because of our viewing angle, not any real connection.
- Ancient peoples named the constellations after animals and heroes.
Correct answer: The stars in a constellation appear linked only because of our viewing angle, not any real connection.
The main idea is that the stars in a constellation appear linked only because of our viewing angle, not any real connection. The passage explains that the stars sit at different distances and form patterns only by chance perspective. The other choices touch on navigation, varied distances, or naming traditions without the central point that the shapes are illusions.
Read the passage and answer the question. The small bookstore on the corner had survived for forty years, but the owner now spent more time chatting with old friends than ringing up sales. A handwritten sign in the window thanked customers for decades of loyalty, and shelves that were once packed stood half empty. What can you most reasonably infer about the bookstore?
- The bookstore is expanding into a larger space.
- The owner has hired several new employees.
- The bookstore has just opened for business.
- The bookstore is preparing to close after many years.
Correct answer: The bookstore is preparing to close after many years.
The most reasonable inference is that the bookstore is preparing to close after many years. The thank-you sign for decades of loyalty, the emptying shelves, and the owner's shift from selling to socializing all point to a winding down. Expansion and a fresh opening contradict the half-empty shelves, and there is no mention of new hires.
Read the passage and answer the question. The phrase common sense suggests something everyone naturally possesses, yet what counts as obvious varies enormously from place to place. A gesture considered polite in one country may be an insult in another. So-called common sense is largely learned, not born in us. What is the central point of this passage?
- What we call common sense is mostly learned and varies by culture rather than being universal.
- Polite gestures differ from one country to the next.
- Everyone is born with a basic sense of right and wrong.
- Travelers should study local customs before visiting.
Correct answer: What we call common sense is mostly learned and varies by culture rather than being universal.
The central point is that what we call common sense is mostly learned and varies by culture rather than being universal. The passage uses the gesture example to show that obvious behavior differs by place and concludes it is learned. The other choices isolate the gesture detail, restate the assumption the passage rejects, or add travel advice the passage does not give.
Read the passage and answer the question. The toddler who had screamed at every bath now splashed happily in the tub, slapping the water and laughing. His mother had added a few floating rubber toys and a cup for pouring, and the bathroom echoed with giggles instead of cries. What can be inferred from this passage?
- The toddler still hates taking baths.
- The toys helped turn bath time into something the toddler enjoys.
- The mother decided to stop bathing the child.
- The water in the tub was too cold for the toddler.
Correct answer: The toys helped turn bath time into something the toddler enjoys.
The inference is that the toys helped turn bath time into something the toddler enjoys. The shift from screaming to splashing and giggling right after the toys appeared points to the toys easing his fear. Continued hatred contradicts the laughter, the baths clearly continue, and there is no sign the water was too cold.
Read the passage and answer the question. The humble dandelion is treated as a weed, yet nearly every part of it is useful. Its leaves can be eaten in salads, its roots brewed into a drink, and its bright flowers turned into syrup. A plant that gardeners fight to remove was once valued as food and medicine. Which statement best expresses the main idea?
- Dandelion leaves can be added to a salad.
- Gardeners often work hard to remove dandelions.
- The dandelion, dismissed as a weed, is actually a useful plant with many edible parts.
- Some plants can be brewed into drinks.
Correct answer: The dandelion, dismissed as a weed, is actually a useful plant with many edible parts.
The main idea is that the dandelion, dismissed as a weed, is actually a useful plant with many edible parts. The passage contrasts its reputation as a weed with the many uses of its leaves, roots, and flowers. The other choices each name a single use or the effort to remove it rather than the central reappraisal.
Read the passage and answer the question. At the airport gate, the woman checked her watch every minute, scanned each arriving passenger with rising eagerness, and held a bouquet of flowers behind her back. When a tall man in uniform stepped through the doors, she dropped the flowers and ran. What can you most reasonably infer about the woman?
- She is afraid of the man approaching the gate.
- She is selling flowers to arriving travelers.
- She has lost her flight and is searching for help.
- She is waiting to greet someone she cares about deeply.
Correct answer: She is waiting to greet someone she cares about deeply.
The most reasonable inference is that she is waiting to greet someone she cares about deeply. The hidden bouquet, eager watching, and running to a returning man in uniform all signal a joyful reunion. Fear contradicts running toward him, the flowers and watching point to a planned meeting rather than a lost flight, and dropping the bouquet to embrace him is not the behavior of a seller.
Read the passage and answer the question. The idea that we use only ten percent of our brains is one of the most enduring myths about the mind. Brain scans show that even simple tasks light up many regions at once, and over the course of a day nearly the whole brain is active. There is no idle reserve waiting to be unlocked. What is the main idea of this passage?
- The claim that we use only ten percent of our brains is a myth, since nearly all of it is active.
- The brain uses energy even during simple activities.
- Brain scans can show which areas are active during a task.
- The human brain is a remarkably complex organ.
Correct answer: The claim that we use only ten percent of our brains is a myth, since nearly all of it is active.
The main idea is that the claim that we use only ten percent of our brains is a myth, since nearly all of it is active. The passage names the myth and refutes it with scan evidence of widespread activity, ending that there is no idle reserve. The other choices describe scanning, energy use, or brain complexity without the central correction.
Read the passage and answer the question. The village had always drawn its water from a single well in the square. After the new factory opened upstream, the water turned cloudy, several children fell ill, and the village council called an urgent meeting with the factory's owners. What can be inferred from this passage?
- The well has always produced cloudy water.
- The factory may be contaminating the village's water supply.
- The villagers are pleased with the new factory.
- The children fell ill from an unrelated cause.
Correct answer: The factory may be contaminating the village's water supply.
The inference is that the factory may be contaminating the village's water supply. The cloudy water and illnesses appearing after the upstream factory opened, plus the urgent meeting with its owners, point to the factory as the likely cause. The passage shows the cloudiness is new, the urgent meeting reflects concern rather than pleasure, and the timing ties the illness to the factory rather than an unrelated cause.
Read the passage and answer the question. Lighthouses once stood as the only guardians of dangerous coasts, their keepers tending the flame through every storm. Today, automated lights and satellite navigation have made the keepers obsolete. The towers remain as monuments to a vanished way of life. What is the central message of this passage?
- Lighthouse keepers once tended the flame during storms.
- Satellite navigation guides ships along the coast.
- Technology has replaced lighthouse keepers, leaving the towers as relics of the past.
- Many coasts are dangerous for passing ships.
Correct answer: Technology has replaced lighthouse keepers, leaving the towers as relics of the past.
The central message is that technology has replaced lighthouse keepers, leaving the towers as relics of the past. The passage contrasts the keepers of old with modern automation and ends by calling the towers monuments to a vanished life. The other choices describe the keepers, the new technology, or coastal danger without the central theme of replacement.
Read the passage and answer the question. The normally generous donor returned the charity's letter unopened and did not answer their calls. Last year he had given freely, but recent news reports had questioned how the organization spent its funds, and a former employee had spoken out about waste. What can you most reasonably infer about the donor?
- He plans to increase his donation this year.
- He has decided to start his own charity.
- He never supported the charity in the first place.
- He has lost confidence in how the charity uses its money.
Correct answer: He has lost confidence in how the charity uses its money.
The most reasonable inference is that he has lost confidence in how the charity uses its money. Ignoring the letter and calls after reports of waste and an insider's criticism suggests his trust has eroded. Increasing his gift contradicts his silence, the passage says he gave freely last year, and there is no mention of starting his own charity.
Read the passage and answer the question. Most people think of bones as dry, lifeless scaffolding, but living bone is constantly changing tissue. Cells continually break down old bone and lay down new material, so that the skeleton you have today is not the one you had a decade ago. Bone is among the most active tissues in the body. Which choice best states the main idea?
- Far from being lifeless, bone is living tissue that constantly renews itself.
- Bone cells break down old material in the skeleton.
- The skeleton supports the weight of the body.
- People often misunderstand how the body works.
Correct answer: Far from being lifeless, bone is living tissue that constantly renews itself.
The main idea is that far from being lifeless, bone is living tissue that constantly renews itself. The passage rejects the dry-scaffolding image and explains the continual breakdown and rebuilding of bone. The other choices name one part of that process, an unrelated function, or a vague observation rather than the central correction.
Read the passage and answer the question. The experienced sailor studied the gulls flying inland, the falling reading on his barometer, and the long swells rolling in from the open sea. He ordered the crew to reef the sails and secure everything on deck well before the sky showed any sign of trouble. What can be inferred about the sailor?
- He believes the day will remain perfectly calm.
- He expects rough weather based on the signs he has read.
- He has decided to abandon the ship.
- He is unfamiliar with how to handle a boat.
Correct answer: He expects rough weather based on the signs he has read.
The inference is that he expects rough weather based on the signs he has read. The inland-flying gulls, falling barometer, and heavy swells are warnings he acts on by securing the ship before the sky changes. Expecting calm contradicts his preparations, securing the deck is the opposite of abandoning ship, and his skilled reading of the signs shows experience.
Read the passage and answer the question. We tend to picture a desert as scorching hot, yet the largest desert on Earth is Antarctica. A desert is defined not by temperature but by how little precipitation it receives, and the frozen continent gets almost no snow or rain. By that measure, ice can be just as much a desert as sand. What is the main idea of this passage?
- Antarctica receives very little snow or rain.
- Many people imagine deserts as hot, sandy places.
- A desert is defined by scarce precipitation, so even frozen Antarctica qualifies as one.
- Some deserts are extremely cold rather than hot.
Correct answer: A desert is defined by scarce precipitation, so even frozen Antarctica qualifies as one.
The main idea is that a desert is defined by scarce precipitation, so even frozen Antarctica qualifies as one. The passage corrects the hot-sand image by giving the real definition and applying it to Antarctica. The other choices isolate Antarctica's low precipitation, the common image, or the existence of cold deserts without the central definition-based point.
Read the passage and answer the question. The new manager promised an open-door policy, but employees soon noticed that her door was usually closed, that messages went unanswered for days, and that her schedule was always too full for the meetings she had encouraged. What can you most reasonably infer about the manager?
- She is highly available to her employees.
- The employees are uninterested in meeting with her.
- She has too few responsibilities to stay busy.
- Her actions do not match the openness she promised.
Correct answer: Her actions do not match the openness she promised.
The most reasonable inference is that her actions do not match the openness she promised. The closed door, ignored messages, and full schedule contradict the open-door policy she announced. High availability is the opposite of what is described, the packed schedule shows she is busy rather than idle, and the employees noticing the gap shows they do want access.
Read the passage and answer the question. The humble paper clip seems too simple to have a history, yet its familiar looped shape was the result of years of trial and error. Earlier fasteners tore the paper, slipped loose, or rusted onto the page. The version we use today succeeded because it held firmly without leaving a mark. What is the central point of this passage?
- The modern paper clip's simple design was perfected through years of trial and error.
- Paper clips are used to hold sheets of paper together.
- Older fasteners often tore or stained the paper.
- Many everyday objects have surprising histories.
Correct answer: The modern paper clip's simple design was perfected through years of trial and error.
The central point is that the modern paper clip's simple design was perfected through years of trial and error. The passage challenges the idea that the clip is too simple to have a history and explains how earlier failures led to the successful design. The other choices isolate the flaws of older fasteners, the clip's function, or a vague generalization rather than the central claim.
Read the passage and answer the question. The quiet neighbor who rarely spoke to anyone was seen carrying groceries up to the elderly widow's apartment, shoveling her walk before dawn, and leaving fresh bread on her step. He never knocked or waited to be thanked. What can be inferred about the neighbor?
- He is trying to take advantage of the widow.
- He is quietly kind despite his reserved manner.
- He dislikes the widow and avoids her.
- He is loudly seeking praise for his actions.
Correct answer: He is quietly kind despite his reserved manner.
The inference is that he is quietly kind despite his reserved manner. Carrying groceries, shoveling, and leaving bread without waiting for thanks show generosity offered without fanfare. Taking advantage and disliking the widow contradict his helpful acts, and avoiding recognition is the opposite of loudly seeking praise.
Read the passage and answer the question. The phrase reinventing the wheel is meant as a warning against wasted effort, yet some inventions truly do deserve a second look. The wheels on luggage, for instance, existed for decades before someone thought to attach them in a way that made suitcases easy to roll. Sometimes a small rethinking of the familiar changes everything. Which statement best captures the main idea?
- Reinventing the wheel usually wastes time and effort.
- Wheeled luggage became popular only after a clever redesign.
- Rethinking a familiar object can sometimes produce a major improvement.
- Suitcases were once difficult to carry through airports.
Correct answer: Rethinking a familiar object can sometimes produce a major improvement.
The main idea is that rethinking a familiar object can sometimes produce a major improvement. The passage qualifies the warning against wasted effort by showing how reworking wheeled luggage transformed it. The other choices restate the warning, give the specific luggage example, or describe the old problem rather than the general lesson.
Read the passage and answer the question. The diner where the truckers always stopped had its lights off and its parking lot empty by noon. A notice taped to the door listed a phone number, the cook's car was nowhere to be seen, and the daily specials board still showed last week's date. What can you most reasonably infer about the diner?
- The diner is busier than ever at lunchtime.
- The diner is open but the truckers chose to skip it.
- The diner has just changed its menu.
- The diner has unexpectedly closed, at least for now.
Correct answer: The diner has unexpectedly closed, at least for now.
The most reasonable inference is that the diner has unexpectedly closed, at least for now. The dark lights, empty lot at noon, posted notice, missing cook's car, and stale specials board all indicate it is not operating. Being busier than ever and simply changing the menu contradict the closed signs, and the empty lot shows the diner itself is not open.
Read the passage and answer the question. The rings inside a tree trunk are more than decoration. Each ring marks a year of growth, and its width records the conditions of that year. A wide ring speaks of a wet, favorable season, while a thin one hints at drought. Reading the rings is like reading a diary the tree kept of its own life. What is the main idea of this passage?
- A tree's rings record a detailed history of the conditions it lived through.
- Trees add one new ring of growth each year.
- A wide tree ring indicates a wet growing season.
- Some seasons are drier than others.
Correct answer: A tree's rings record a detailed history of the conditions it lived through.
The main idea is that a tree's rings record a detailed history of the conditions it lived through. The passage compares the rings to a diary, explaining how their widths capture each year's weather. The other choices isolate the meaning of a wide ring, the yearly ring rule, or the existence of dry seasons rather than the central comparison.
Read the passage and answer the question. The student who had failed his first two exams arrived at office hours every week, turned in extra practice problems, and stayed late to ask questions. By the final exam he scored among the highest in the class, and his professor noted the change in front of everyone. What can be inferred from this passage?
- The student cheated on the final exam.
- The student's sustained effort led to his improvement.
- The student gave up after his early failures.
- The professor disliked the student throughout the term.
Correct answer: The student's sustained effort led to his improvement.
The inference is that the student's sustained effort led to his improvement. Regular office hours, extra problems, and staying late, followed by a top score, connect his hard work to his turnaround. Cheating is not suggested and is undercut by the visible effort, giving up contradicts his persistence, and the professor's public praise shows approval rather than dislike.
Read the passage and answer the question. The word salary comes from the Latin word for salt. In ancient Rome, salt was so valuable for preserving food that soldiers were sometimes paid in it or given an allowance to buy it. The everyday word for our wages still carries the memory of a time when salt was almost as good as money. Which choice best states the main idea?
- Salt was important for preserving food in ancient times.
- Roman soldiers received regular allowances from the state.
- The word salary preserves the memory of when salt was a form of payment.
- Many English words come from Latin roots.
Correct answer: The word salary preserves the memory of when salt was a form of payment.
The main idea is that the word salary preserves the memory of when salt was a form of payment. The passage traces the word to the Latin for salt and explains that soldiers were paid in or for salt. The other choices mention salt's use, soldiers' allowances, or Latin roots in general without the central point about the word.
Read the passage and answer the question. The nurse noticed that the patient who had been weak and pale for weeks now sat up in bed, asked for a full meal, and laughed at a joke from a visitor. His chart showed steady improvement in every reading over the past three days. What can you most reasonably infer about the patient?
- The patient's condition is rapidly worsening.
- The patient refuses to eat or speak to anyone.
- The patient is being discharged against medical advice.
- The patient is recovering from his illness.
Correct answer: The patient is recovering from his illness.
The most reasonable inference is that the patient is recovering from his illness. Sitting up, asking for food, laughing, and improving readings all signal a turn toward health. Worsening contradicts the improving chart, the passage does not mention discharge, and asking for a meal and laughing are the opposite of refusing food and speech.
Read the passage and answer the question. The color of a flame can reveal what is burning. Sodium burns with a yellow glow, copper with a blue-green tint, and other elements each lend their own hue. Chemists use this fact to identify substances simply by the color they produce in a flame. What is the central point of this passage?
- Different burning elements produce distinct flame colors that can be used to identify them.
- Sodium produces a yellow color when it burns.
- Copper burns with a blue-green tint.
- Chemists work with many different substances.
Correct answer: Different burning elements produce distinct flame colors that can be used to identify them.
The central point is that different burning elements produce distinct flame colors that can be used to identify them. The passage gives sodium and copper as examples and notes that chemists identify substances by flame color. The other choices each isolate one example or an unrelated statement rather than the general principle.
Read the passage and answer the question. The driver pulled over to the shoulder, switched on the hazard lights, and stepped out to stare at the front of the car. Steam was rising from beneath the hood, the temperature gauge had climbed into the red, and he reached for his phone to call for help. What can be inferred from this passage?
- The driver has reached his destination safely.
- The car has overheated and broken down.
- The car is performing better than expected.
- The driver has stopped to enjoy the scenery.
Correct answer: The car has overheated and broken down.
The inference is that the car has overheated and broken down. The rising steam, gauge in the red, hazard lights, and call for help all point to an overheated engine that has failed. Reaching a destination safely and the car performing well contradict the warning signs, and stopping to call for help is not the same as enjoying scenery.
Read the passage and answer the question. We often credit a calendar to the ancient Romans, but their early version drifted badly out of step with the seasons. Months wandered until winter festivals fell in autumn. Only after major reforms did the calendar finally line up with the sun, giving us the system we still rely on today. Which statement best expresses the main idea?
- Roman months once drifted out of step with the seasons.
- Winter festivals once fell during the autumn.
- The Roman calendar required major reforms before it matched the sun and became today's system.
- Calendars are used to track the passage of time.
Correct answer: The Roman calendar required major reforms before it matched the sun and became today's system.
The main idea is that the Roman calendar required major reforms before it matched the sun and became today's system. The passage describes the early drift and the reforms that finally aligned it with the sun. The other choices isolate the drift, the misplaced festivals, or a general statement about calendars rather than the central account of reform.
Read the passage and answer the question. The usually crowded beach was empty despite the sunny day. A red flag flew from the lifeguard tower, a printed warning had been posted at the entrance, and the few people present stood on the sand watching the unusually high, fast-breaking waves. What can you most reasonably infer from this passage?
- A large crowd is expected to arrive shortly.
- The beach has been permanently closed to the public.
- The weather is too cold for anyone to swim.
- Swimming is unsafe because of dangerous water conditions.
Correct answer: Swimming is unsafe because of dangerous water conditions.
The most reasonable inference is that swimming is unsafe because of dangerous water conditions. The red warning flag, posted notice, and high, fast-breaking waves explain why the sunny beach is empty of swimmers. A permanent closure is not indicated by a single day's warning, the day is described as sunny rather than cold, and people are leaving the water rather than crowds arriving.
Read the passage and answer the question. Honey never truly spoils. Archaeologists have found pots of honey in ancient tombs that remain edible after thousands of years. Its very low water content and natural acidity create conditions in which bacteria cannot survive, allowing it to outlast nearly every other food. What is the main idea of this passage?
- Honey's chemistry allows it to remain edible for an extraordinarily long time.
- Honey has a naturally low water content.
- Honey has been found inside ancient tombs.
- Bacteria need water in order to survive.
Correct answer: Honey's chemistry allows it to remain edible for an extraordinarily long time.
The main idea is that honey's chemistry allows it to remain edible for an extraordinarily long time. The passage opens with the claim that honey never spoils and explains how its low water and acidity prevent bacteria. The other choices each name a supporting detail rather than the central point about its remarkable shelf life.
Read the passage and answer the question. The interviewer leaned forward as the candidate spoke, jotted several notes, and smiled at her answers. As the meeting ended, he walked her to the elevator, mentioned the salary range without being asked, and said the team was excited to move forward. What can be inferred about the interviewer's impression of the candidate?
- He found her answers weak and unconvincing.
- He was favorably impressed and likely to advance her.
- He plans to remove the position from consideration.
- He was distracted and barely listening to her.
Correct answer: He was favorably impressed and likely to advance her.
The inference is that he was favorably impressed and likely to advance her. Leaning in, taking notes, smiling, volunteering the salary range, and mentioning the team's excitement all signal strong interest. Finding her weak or removing the position contradicts these positive cues, and his attentive note-taking shows he was engaged rather than distracted.
Read the passage and answer the question. The word museum traces back to a temple of the Muses, the ancient goddesses of art and learning. The first such institution was less a hall of objects than a center for scholars to study and create. Even now, the word carries that older sense of a place devoted to knowledge. Which choice best states the main idea?
- The Muses were goddesses of art and learning.
- Early institutions gathered scholars together to study.
- The word museum reflects its origin as a place devoted to scholarship and knowledge.
- Modern museums display many kinds of objects.
Correct answer: The word museum reflects its origin as a place devoted to scholarship and knowledge.
The main idea is that the word museum reflects its origin as a place devoted to scholarship and knowledge. The passage traces the word to the temple of the Muses and stresses its early role as a center of study that the word still echoes. The other choices isolate the Muses, the gathering of scholars, or modern displays rather than the central point about the word's meaning.
Read the passage and answer the question. The veteran cook tasted the soup, paused, and reached for neither salt nor pepper. He set down the spoon, nodded once to himself, and carried the pot straight out to the waiting customers without changing a thing. What can you most reasonably infer about the soup?
- The soup needed a great deal more seasoning.
- The soup had burned and could not be served.
- The cook decided to throw the soup away.
- The cook found the soup already seasoned just right.
Correct answer: The cook found the soup already seasoned just right.
The most reasonable inference is that the cook found the soup already seasoned just right. Tasting it, reaching for no seasoning, nodding, and serving it unchanged all show he judged it perfect as made. Needing more seasoning contradicts his leaving it alone, and discarding or a burned soup conflicts with his serving it straight to customers.
Read the passage and answer the question. The brilliant colors of autumn leaves are not painted on in fall; they are there all along. Through spring and summer, green pigment masks the yellows and oranges beneath. Only when the green fades in autumn do the hidden colors finally show themselves. What is the central point of this passage?
- The fall colors of leaves are present all year but revealed only when the green pigment fades.
- Autumn leaves turn brilliant shades of yellow and orange.
- Green pigment gives leaves their summer color.
- Leaves change as the seasons shift.
Correct answer: The fall colors of leaves are present all year but revealed only when the green pigment fades.
The central point is that the fall colors of leaves are present all year but revealed only when the green pigment fades. The passage explains that the yellows and oranges are masked by green until autumn uncovers them. The other choices describe the fall colors, the role of green pigment, or seasonal change without the central revelation.
Read the passage and answer the question. The town that had emptied during the factory's decline began to stir again. New families moved into the long-vacant houses, the boarded-up shops on Main Street reopened one by one, and the school announced it would reopen a wing closed for years. What can be inferred about the town?
- The town is being abandoned entirely.
- The town is experiencing a revival after hard times.
- The factory has reopened its old assembly lines.
- The town's school is closing for good.
Correct answer: The town is experiencing a revival after hard times.
The inference is that the town is experiencing a revival after hard times. New families, reopening shops, and a school adding back a wing all point to recovery after the factory's decline. Abandonment contradicts the growth, the passage credits new families rather than a reopened factory, and the school is expanding rather than closing.
Newton's first law of motion is also commonly known as the law of:
- Inertia
- Gravitation
- Acceleration
- Action and reaction
Correct answer: Inertia
Newton's first law is also known as the law of inertia, because it describes an object's tendency to keep doing what it is doing unless a net force acts on it. The law of action and reaction is the third law, the relationship between force and acceleration is the second law, and gravitation is a separate law entirely.
A spacecraft drifting far from any star or planet keeps moving in a straight line at steady speed without firing its engines. This continued motion is best explained by:
- Newton's third law
- Newton's first law
- The pull of a nearby star
- Bernoulli's principle
Correct answer: Newton's first law
Newton's first law explains the continued motion, because an object in motion stays in motion at constant velocity when no net force acts on it. With effectively no friction or outside force in deep space, the craft coasts indefinitely. The third law concerns force pairs, Bernoulli's principle concerns fluid pressure, and no nearby star is needed.
Newton's second law of motion is most often written as which relationship?
- Force equals mass divided by velocity
- Work equals force times distance
- Force equals mass times acceleration
- Force equals voltage times current
Correct answer: Force equals mass times acceleration
Newton's second law is written as force equals mass times acceleration, linking the net force on an object to how quickly it speeds up. Work equals force times distance is the definition of work, and the electrical expression involves voltage and current, neither of which is the second law.
A delivery truck has twice the mass of a small car. If the same net forward force is applied to each, the truck will have:
- Twice the acceleration of the car
- The same acceleration as the car
- Four times the acceleration of the car
- Half the acceleration of the car
Correct answer: Half the acceleration of the car
The truck will have half the acceleration of the car. For a fixed force, acceleration is inversely proportional to mass, so doubling the mass cuts the acceleration in half. Equal, double, or quadruple acceleration would contradict Newton's second law applied to the larger mass.
When you walk forward, your foot pushes backward on the ground and the ground pushes forward on your foot. This pair of forces illustrates:
- Newton's third law
- Newton's first law
- Conservation of energy
- Newton's second law
Correct answer: Newton's third law
This pair of forces illustrates Newton's third law, which states that for every action force there is an equal and opposite reaction force. Your backward push on the ground is matched by the ground's forward push that propels you. Inertia, the force-acceleration relationship, and energy conservation describe other ideas.
A 10-kilogram cart is pushed with a net force of 25 newtons. What is its acceleration?
- 250 m/s squared
- 2.5 m/s squared
- 35 m/s squared
- 15 m/s squared
Correct answer: 2.5 m/s squared
The acceleration is 2.5 m/s squared. Rearranging Newton's second law, acceleration equals force divided by mass, so 25 newtons divided by 10 kilograms gives 2.5 m/s squared. Multiplying gives 250, adding gives 35, and subtracting gives 15, none of which apply the law correctly.
Two ice skaters of equal mass push off from each other while standing still on frictionless ice. Immediately afterward, they will:
- Both stay completely still
- Move in the same direction together
- Move off in opposite directions at equal speeds
- Have the heavier one move faster
Correct answer: Move off in opposite directions at equal speeds
They will move off in opposite directions at equal speeds. By Newton's third law each skater pushes the other with an equal and opposite force, and because their masses are equal they gain equal but oppositely directed speeds. They cannot both stay still after a push or travel together in one direction.
A passenger standing on a bus lurches forward when the bus suddenly brakes. This happens because the passenger's body tends to:
- Lose all of its mass
- Be pushed forward by a new force
- Gain weight during braking
- Keep moving forward due to inertia
Correct answer: Keep moving forward due to inertia
The passenger keeps moving forward due to inertia. By Newton's first law, the body continues at the bus's original speed even as the bus slows, so it lurches forward relative to the vehicle. No new forward force pushes the passenger, and mass and weight do not change during braking.
If you triple the net force applied to an object while keeping its mass the same, the acceleration will:
- Become three times as large
- Stay the same
- Become one-third as large
- Become nine times as large
Correct answer: Become three times as large
The acceleration will become three times as large. With mass held constant, acceleration is directly proportional to the net force, so tripling the force triples the acceleration. It does not stay the same, decrease, or change by a factor of nine.
Which everyday situation is the clearest example of an object's inertia?
- A magnet attracting a paper clip
- A heavy flywheel that is hard to start spinning and hard to stop
- A battery powering a flashlight
- Ice melting in a warm room
Correct answer: A heavy flywheel that is hard to start spinning and hard to stop
A heavy flywheel that is hard to start spinning and hard to stop is the clearest example of inertia. Its large mass resists changes to its state of motion in both starting and stopping. A magnet's pull, a battery's energy, and melting ice involve magnetism, electricity, and heat rather than inertia.
A rocket lifts off by burning fuel and expelling exhaust gases downward at high speed. The upward thrust on the rocket is the reaction to the:
- Pull of Earth's gravity
- Air resistance on the nose cone
- Downward push on the exhaust gases
- Spinning of the rocket
Correct answer: Downward push on the exhaust gases
The upward thrust is the reaction to the downward push on the exhaust gases. By Newton's third law, the force the rocket exerts to throw gases downward produces an equal and opposite upward force on the rocket. Gravity, air resistance, and spinning do not create the thrust described.
An object has a mass of 6 kilograms and experiences a net force of 18 newtons. After this force acts, the object's acceleration is best described as:
- 3 m/s squared opposite the force
- 12 m/s squared in the direction of the force
- 108 m/s squared opposite the force
- 3 m/s squared in the direction of the force
Correct answer: 3 m/s squared in the direction of the force
The acceleration is 3 m/s squared in the direction of the force. Newton's second law gives acceleration as force divided by mass, so 18 newtons divided by 6 kilograms equals 3 m/s squared, and acceleration always points the same way as the net force. The other choices give wrong magnitudes or directions.
Weight differs from mass because weight is:
- The gravitational force acting on an object's mass
- The amount of matter in an object
- Always measured in kilograms
- Unaffected by gravity
Correct answer: The gravitational force acting on an object's mass
Weight is the gravitational force acting on an object's mass, so it changes with the local strength of gravity. Mass is the amount of matter, measured in kilograms, and it stays constant regardless of location, while weight depends on gravity and is measured in newtons.
A car traveling at steady speed around a circular track is accelerating even though its speedometer reading does not change. This is because acceleration also occurs whenever an object changes its:
- Color
- Direction
- Temperature
- Mass
Correct answer: Direction
The car is accelerating because it changes its direction. Acceleration is any change in velocity, and velocity includes direction as well as speed, so turning is a form of acceleration even at constant speed. Changes in color, temperature, or mass are not what define acceleration.
On the periodic table, a horizontal row of elements is called a:
- Group
- Family
- Period
- Bond
Correct answer: Period
A horizontal row on the periodic table is called a period. As you move across a period, the elements' properties change gradually. A group or family is a vertical column of elements with similar behavior, and a bond is a connection between atoms rather than a row.
The atomic number of an element tells you the number of:
- Neutrons in the nucleus
- Electron shells
- Molecules in a sample
- Protons in the nucleus
Correct answer: Protons in the nucleus
The atomic number tells you the number of protons in the nucleus, and it uniquely identifies the element. The number of neutrons can vary among isotopes, electron shells relate to electron arrangement, and molecules are combinations of atoms, so none of those define the atomic number.
What is the chemical symbol for the element oxygen?
- O
- Ox
- Og
- Om
Correct answer: O
The chemical symbol for oxygen is O, a single capital letter. Symbols are one or two letters with only the first capitalized, and Og is the symbol for oganesson, a different element. The forms Ox and Om are not valid chemical symbols.
The far-right column of the periodic table contains helium, neon, and argon, which are known as the noble gases because they are:
- Highly explosive metals
- Very chemically unreactive
- Liquid at room temperature
- Strongly magnetic
Correct answer: Very chemically unreactive
The noble gases are very chemically unreactive because their outer electron shells are full, leaving little tendency to form bonds. They are gases rather than liquids at room temperature, are not metals, and are not noted for being explosive or magnetic.
A neutral atom always has equal numbers of:
- Protons and neutrons
- Neutrons and electrons
- Protons and electrons
- Atoms and molecules
Correct answer: Protons and electrons
A neutral atom has equal numbers of protons and electrons, so their positive and negative charges cancel and the atom has no overall charge. Neutrons carry no charge and need not match the proton count, and comparing atoms to molecules is unrelated to electrical neutrality.
In the chemical equation describing the formation of water, the arrow that separates the starting materials from the new substances points from the:
- Products to the reactants
- Catalyst to the solvent
- Solid to the gas
- Reactants to the products
Correct answer: Reactants to the products
The arrow points from the reactants to the products, showing the direction of the chemical change as starting materials are converted into new substances. Reactants are always written on the left and products on the right, so the arrow does not run from products back to reactants.
A substance made of only one type of atom that cannot be broken down into simpler substances by ordinary chemical means is called a(n):
- Element
- Mixture
- Solution
- Compound
Correct answer: Element
Such a substance is an element, because it consists of only one kind of atom and cannot be chemically decomposed into anything simpler. A compound contains two or more elements bonded together, while mixtures and solutions are physical combinations that can be separated.
When an atom loses or gains electrons and becomes electrically charged, the resulting particle is called a(n):
- Isotope
- Ion
- Molecule
- Neutron
Correct answer: Ion
An atom that loses or gains electrons and becomes charged is called an ion. Losing electrons gives a positive ion and gaining them gives a negative ion. An isotope differs by neutron count, a molecule is bonded atoms, and a neutron is an uncharged particle.
Salt water can be separated back into salt and water by boiling. This shows that salt water is a:
- Pure element
- Single compound
- Mixture
- Chemical reaction
Correct answer: Mixture
Salt water is a mixture, because its components keep their own identities and can be separated by a physical process such as boiling off the water. A pure element or a single compound cannot be split into different substances by simple physical means, and boiling here is a physical change, not a chemical reaction.
A solution with a pH of 3 is best described as:
- Neutral
- Basic
- A pure metal
- Acidic
Correct answer: Acidic
A solution with a pH of 3 is acidic, since any value below 7 on the pH scale indicates an acid. A pH of 7 is neutral and values above 7 are basic, so 3 falls clearly in the acidic range, and pH does not describe metals.
During an ordinary chemical reaction, the law of conservation of mass states that the total mass of the products:
- Equals the mass of the reactants
- Is greater than the mass of the reactants
- Is less than the mass of the reactants
- Drops to zero
Correct answer: Equals the mass of the reactants
The total mass of the products equals the mass of the reactants. Atoms are rearranged but neither created nor destroyed in a chemical reaction, so the total mass stays constant. The products cannot end up with more, less, or zero mass overall.
Which of the following is a physical change rather than a chemical change?
- Iron rusting in damp air
- Melting an ice cube into liquid water
- Burning paper into ash
- Baking batter into a cake
Correct answer: Melting an ice cube into liquid water
Melting an ice cube into liquid water is a physical change, because only the state changes while the substance remains water. Rusting, burning, and baking all form new substances with different properties and are therefore chemical changes.
A substance changes directly from a solid to a gas without passing through the liquid state, as dry ice does. This process is called:
- Condensation
- Melting
- Sublimation
- Freezing
Correct answer: Sublimation
This process is called sublimation, the direct change from a solid to a gas without an intervening liquid stage. Melting goes from solid to liquid, freezing from liquid to solid, and condensation from gas to liquid, so none of those describe the solid-to-gas change.
Hydrogen and helium, the two simplest elements, are found at the very top of the periodic table because they have the smallest:
- Color
- Density of liquids
- Magnetic strength
- Number of protons
Correct answer: Number of protons
They sit at the top because they have the smallest number of protons, meaning the lowest atomic numbers. The periodic table is arranged in order of increasing atomic number, so the lightest, lowest-numbered elements appear first. Color, liquid density, and magnetism do not set this ordering.
Most metals on the periodic table share the property of being:
- Good conductors of electricity and heat
- Poor conductors of heat
- Always liquid at room temperature
- Unable to be bent or shaped
Correct answer: Good conductors of electricity and heat
Most metals are good conductors of electricity and heat, and they are typically shiny, bendable, and able to be drawn into wires. They are not poor conductors, are generally solid rather than liquid at room temperature, and can usually be shaped rather than being brittle.
Potential energy stored in an object because of its height above the ground is specifically called:
- Kinetic energy
- Gravitational potential energy
- Electrical energy
- Sound energy
Correct answer: Gravitational potential energy
Energy stored because of an object's height is called gravitational potential energy, and it increases the higher the object is raised. Kinetic energy is the energy of motion, while electrical and sound energy involve charges and vibrations rather than position in a gravitational field.
The law of conservation of energy states that energy can be:
- Created from nothing when needed
- Destroyed to stop a machine
- Transformed from one form to another but not created or destroyed
- Increased simply by waiting
Correct answer: Transformed from one form to another but not created or destroyed
The law of conservation of energy states that energy can be transformed from one form to another but not created or destroyed. The total amount of energy in a closed system stays constant even as it changes form. Energy cannot appear from nothing, be destroyed, or grow on its own.
A worker uses a machine that produces 1,000 watts of power for 4 seconds. How much work does it do in that time?
- 250 joules
- 1,004 joules
- 996 joules
- 4,000 joules
Correct answer: 4,000 joules
The machine does 4,000 joules of work. Since power equals work divided by time, work equals power times time, so 1,000 watts times 4 seconds equals 4,000 joules. Dividing gives 250, adding gives 1,004, and subtracting gives 996, none of which use the relationship correctly.
Power is best defined as the:
- Rate at which work is done or energy is transferred
- Total distance an object travels
- Force needed to lift an object
- Amount of matter in an object
Correct answer: Rate at which work is done or energy is transferred
Power is the rate at which work is done or energy is transferred, telling you how quickly energy is used. The force to lift an object and the distance traveled relate to work, and the amount of matter is mass, so none of those define power.
A roller coaster car has its greatest gravitational potential energy at which point on the track?
- At the lowest point of the track
- At the highest point of the track
- At the point of greatest speed
- Halfway down the first hill
Correct answer: At the highest point of the track
The car has its greatest gravitational potential energy at the highest point of the track, because potential energy increases with height. At the lowest point and at the point of greatest speed, most of that energy has converted into kinetic energy, so those locations have less potential energy.
Warm air rising from a heater while cooler air sinks to take its place transfers thermal energy mainly by:
- Conduction
- Radiation
- Convection
- Friction
Correct answer: Convection
This transfer occurs mainly by convection, the movement of heat through a circulating fluid such as air or water. Conduction requires direct contact between materials, radiation carries heat as waves through space, and friction is a force rather than a heat-transfer method.
A stretched spring and a charged battery both store energy that can be released later. This stored, ready-to-use energy is best described as:
- Kinetic energy
- Sound energy
- Thermal energy
- Potential energy
Correct answer: Potential energy
This stored, ready-to-use energy is best described as potential energy, the energy held by virtue of position or condition such as a stretched spring or stored chemical charge. Kinetic energy is the energy of motion, while sound and thermal energy involve vibrations and heat rather than stored readiness.
A pendulum swings back and forth. At the lowest point of its swing, the pendulum's energy is mostly:
- Kinetic energy
- Gravitational potential energy
- Chemical energy
- Nuclear energy
Correct answer: Kinetic energy
At the lowest point of the swing the pendulum's energy is mostly kinetic energy, because that is where it moves fastest. At the high points of the swing the energy is mostly gravitational potential energy, and chemical and nuclear energy are not involved in a swinging pendulum.
A crane lifts a heavy beam straight upward at a steady speed. As the beam rises, the work the crane does on it is converted mainly into the beam's:
- Sound energy
- Gravitational potential energy
- Chemical energy
- Electrical energy
Correct answer: Gravitational potential energy
The work is converted mainly into the beam's gravitational potential energy, which increases as the beam gains height. Lifting at steady speed does not raise kinetic energy, and the process does not create chemical, electrical, or sound energy in the beam.
A flashlight converts the chemical energy in its battery primarily into which two useful forms of energy?
- Nuclear energy and sound energy
- Magnetic energy and chemical energy
- Light energy and thermal energy
- Potential energy and sound energy
Correct answer: Light energy and thermal energy
A flashlight converts chemical energy primarily into light energy and thermal energy, since the bulb glows and also warms up. It does not produce nuclear, magnetic, or significant sound energy, so the other combinations do not describe how a flashlight works.
In the metric system, the standard unit used to measure both work and energy is the:
- Watt
- Newton
- Ampere
- Joule
Correct answer: Joule
The standard unit for both work and energy is the joule. A watt measures power, a newton measures force, and an ampere measures electric current, so those units apply to other quantities rather than to work and energy.
Electric current is best described as the:
- Flow of electric charge through a conductor
- Opposition to the flow of charge
- Electrical pressure supplied by a battery
- Amount of energy stored in a wire
Correct answer: Flow of electric charge through a conductor
Electric current is the flow of electric charge through a conductor, measured in amperes. Opposition to that flow is resistance, the electrical pressure pushing the charge is voltage, and stored energy describes a source's capacity, so none of those define current.
In a simple series circuit containing several bulbs in a single loop, what happens when one bulb burns out?
- The other bulbs glow brighter
- All the bulbs go out
- Only that one bulb dims
- The circuit voltage doubles
Correct answer: All the bulbs go out
When one bulb burns out in a series circuit, all the bulbs go out, because the single loop is the only path for current, and breaking it anywhere stops the flow everywhere. The remaining bulbs cannot get brighter or stay lit, and the voltage does not double.
A circuit has a voltage of 12 volts and a resistance of 4 ohms. Using Ohm's law, what is the current flowing through it?
- 48 amperes
- 16 amperes
- 3 amperes
- 8 amperes
Correct answer: 3 amperes
The current is 3 amperes. Ohm's law states that current equals voltage divided by resistance, so 12 volts divided by 4 ohms gives 3 amperes. Multiplying gives 48, adding gives 16, and subtracting gives 8, none of which apply the law correctly.
A material such as rubber or glass that strongly resists the flow of electric current is called a(n):
- Conductor
- Battery
- Magnet
- Insulator
Correct answer: Insulator
A material that strongly resists the flow of current is called an insulator, which is why rubber and glass are used to cover wires for safety. A conductor allows current to flow easily, a battery supplies energy, and a magnet produces a magnetic field, so none of those describe a material that blocks current.
Voltage in an electric circuit is best understood as the:
- Electrical pressure that pushes charges through the circuit
- Flow rate of charge
- Opposition to current flow
- Heat given off by a wire
Correct answer: Electrical pressure that pushes charges through the circuit
Voltage is the electrical pressure that pushes charges through the circuit, supplied by a source such as a battery. The flow rate of charge is current, the opposition to that flow is resistance, and heat from a wire is a result of current rather than a definition of voltage.
A fuse protects an electrical circuit by:
- Increasing the current automatically
- Melting and breaking the circuit when current gets too high
- Storing extra voltage for later
- Turning current into a magnetic field
Correct answer: Melting and breaking the circuit when current gets too high
A fuse protects a circuit by melting and breaking the circuit when the current gets too high, which stops dangerous overheating. It does not increase current, store voltage, or convert current into magnetism, so those choices do not describe how a fuse works.
If the voltage across a fixed resistance is doubled, the current through that resistance will:
- Stay the same
- Be cut in half
- Double
- Drop to zero
Correct answer: Double
The current will double. By Ohm's law, with resistance held constant the current is directly proportional to the voltage, so doubling the voltage doubles the current. It does not stay the same, decrease, or fall to zero when the voltage is increased.
Newton's law of universal gravitation states that the gravitational attraction between two objects grows stronger as their:
- Masses increase
- Colors darken
- Temperatures drop
- Electric charges vanish
Correct answer: Masses increase
The gravitational attraction grows stronger as the objects' masses increase, since the force depends directly on the product of the two masses. The pull also weakens with greater distance between them. Color, temperature, and electric charge do not determine gravitational force.
An apple and a bowling ball are dropped at the same instant from the same height in a vacuum, where there is no air. They will:
- Have the bowling ball land much sooner
- Have the apple land much sooner
- Hit the ground at the same time
- Both stop in midair
Correct answer: Hit the ground at the same time
They hit the ground at the same time, because in a vacuum all objects fall with the same acceleration due to gravity regardless of their mass. Without air resistance, the heavier bowling ball gains no advantage over the lighter apple, so neither lands sooner and neither halts in the air.
An object moving at a steady velocity in a straight line has a net force on it that is:
- Constantly increasing
- Always pointing backward
- Equal to its weight
- Zero
Correct answer: Zero
The net force is zero, because an object moving at steady velocity is not accelerating, and by Newton's laws no net force is needed to maintain constant motion. The forces acting on it are balanced. A net force would change its speed or direction, which is not happening here.
Friction is best described as a force that:
- Always speeds objects up
- Acts only on objects in deep space
- Pulls objects toward the center of the Earth
- Opposes the relative motion between two surfaces in contact
Correct answer: Opposes the relative motion between two surfaces in contact
Friction is a force that opposes the relative motion between two surfaces in contact, which is why sliding objects gradually slow down. It does not speed objects up, it requires contact rather than acting in empty space, and the downward pull toward Earth's center is gravity, not friction.
Momentum of a moving object is calculated by multiplying its mass by its:
- Velocity
- Temperature
- Height
- Volume
Correct answer: Velocity
Momentum is calculated by multiplying mass by velocity, so a faster or heavier object carries more momentum. Temperature, height, and volume play no part in the definition of momentum, which depends only on how much matter is moving and how fast it travels.
A 2-kilogram ball rolls at 5 meters per second. What is its momentum?
- 2.5 kilogram-meters per second
- 7 kilogram-meters per second
- 10 kilogram-meters per second
- 3 kilogram-meters per second
Correct answer: 10 kilogram-meters per second
The momentum is 10 kilogram-meters per second. Momentum equals mass times velocity, so 2 kilograms times 5 meters per second gives 10 kilogram-meters per second. Dividing, adding, or subtracting the two numbers gives 2.5, 7, or 3, none of which use the momentum formula correctly.
Average speed is found by dividing the total distance traveled by the:
- Total mass
- Number of stops
- Force applied
- Total time taken
Correct answer: Total time taken
Average speed is found by dividing total distance by total time taken, giving how far an object travels per unit of time. Mass, the number of stops, and the applied force do not appear in the basic speed formula, which compares distance covered against time elapsed.
A car travels 150 kilometers in 3 hours. What is its average speed?
- 450 kilometers per hour
- 147 kilometers per hour
- 153 kilometers per hour
- 50 kilometers per hour
Correct answer: 50 kilometers per hour
The average speed is 50 kilometers per hour. Speed equals distance divided by time, so 150 kilometers divided by 3 hours gives 50 kilometers per hour. Multiplying gives 450, while subtracting or adding the numbers gives 147 or 153, none of which apply the speed formula.
The difference between speed and velocity is that velocity also includes the object's:
- Direction of travel
- Mass
- Color
- Age
Correct answer: Direction of travel
Velocity also includes the direction of travel, making it a quantity with both size and direction, while speed tells only how fast something moves. Mass, color, and age are unrelated to how velocity differs from speed, which hinges entirely on the added information about direction.
Kinetic energy is the energy an object has because of its:
- Position above the ground
- Chemical composition
- Motion
- Electric charge
Correct answer: Motion
Kinetic energy is the energy an object has because of its motion, so a faster-moving object has more kinetic energy. Energy stored because of position above the ground is gravitational potential energy, while chemical composition and electric charge relate to other forms of energy, not motion.
If two objects of different mass move at the same speed, the one with greater mass has:
- Less kinetic energy
- Zero kinetic energy
- The same kinetic energy
- More kinetic energy
Correct answer: More kinetic energy
The object with greater mass has more kinetic energy, because at equal speed kinetic energy increases with mass. A heavier truck moving as fast as a light car carries more energy of motion. Neither object has zero kinetic energy while moving, and the two amounts are not equal when the masses differ.
In physics, work is done on an object only when a force causes the object to:
- Change color
- Move through a distance
- Get warmer
- Stay perfectly still
Correct answer: Move through a distance
Work is done only when a force causes the object to move through a distance in the direction of the force. If the object does not move, no work is done in the physics sense, no matter how hard you push. Changing color or warming up are not what defines mechanical work.
A person pushes against a heavy parked car with a steady force, but the car does not move at all. The amount of work done on the car, in the physics sense, is:
- Zero
- Equal to the force used
- Greater than the force used
- Equal to the person's weight
Correct answer: Zero
The work done on the car is zero, because work requires the object to move through a distance, and the car does not budge. No matter how much force the person applies, with no displacement there is no mechanical work. The force used and the person's weight do not change this result.
Heat naturally flows from an object at a higher temperature to one at a lower temperature until the two reach:
- Maximum speed
- Zero mass
- Opposite charges
- The same temperature
Correct answer: The same temperature
Heat naturally flows from hotter to cooler objects until both reach the same temperature, a balanced state called thermal equilibrium. Heat does not move objects, change their mass, or create charges, so the only correct endpoint is equal temperatures, after which net heat flow stops.
Metal feels colder than wood at the same room temperature mainly because metal:
- Conducts heat away from your hand faster
- Is actually at a lower temperature
- Contains hidden ice inside it
- Gives off cold rays
Correct answer: Conducts heat away from your hand faster
Metal feels colder because it conducts heat away from your hand faster than wood does, quickly drawing warmth from your skin. Both objects sit at the same room temperature, so metal is not truly colder. There is no hidden ice, and objects do not emit cold rays.
Heat traveling from the Sun across the empty vacuum of space to reach the Earth is transferred by:
- Conduction
- Convection
- Radiation
- Friction
Correct answer: Radiation
The Sun's heat reaches Earth by radiation, the transfer of energy as electromagnetic waves that can travel through the vacuum of space. Conduction needs direct contact and convection needs a moving fluid, neither of which exists in empty space, and friction is a contact force rather than a way to move heat.
When a beam of light passes from air into water and bends at the surface, this bending of light is called:
- Reflection
- Combustion
- Refraction
- Conduction
Correct answer: Refraction
The bending of light as it passes from air into water is called refraction, caused by the change in the light's speed in the new material. Reflection is light bouncing off a surface, combustion is burning, and conduction is heat transfer through contact, so none of those describe the bending.
When light strikes a smooth mirror and bounces back, this behavior of light is called:
- Reflection
- Refraction
- Absorption
- Evaporation
Correct answer: Reflection
Light bouncing back from a smooth mirror is called reflection, where the light rays rebound from the surface rather than passing through. Refraction is the bending of light entering a new material, absorption is light being taken in by a surface, and evaporation is a change of state, so those do not apply.
A prism separates white light into a band of colors because white light is actually a mixture of:
- Sound waves
- Tiny metal particles
- Magnetic fields
- Different colors of light
Correct answer: Different colors of light
A prism separates white light into colors because white light is actually a mixture of different colors of light, each of which bends by a slightly different amount. The result is a spectrum from red to violet. White light is not made of sound, metal particles, or magnetic fields.
Sound waves cannot travel through the vacuum of outer space because sound requires:
- A material medium such as air or water to travel through
- Bright light to be present
- A strong magnetic field
- Temperatures below freezing
Correct answer: A material medium such as air or water to travel through
Sound cannot travel through the vacuum of space because it requires a material medium such as air, water, or solids to carry its vibrations. With no particles to pass the vibration along, sound has nothing to travel through. Light, magnetism, and cold temperatures are not what sound needs.
The pitch of a sound, how high or low it seems, is determined mainly by the sound wave's:
- Color
- Weight
- Frequency
- Temperature
Correct answer: Frequency
Pitch is determined mainly by the sound wave's frequency, the number of vibrations per second, with higher frequencies producing higher pitches. Color belongs to light, while weight and temperature do not set the pitch of a sound, which depends on how rapidly the air vibrates.
In a vacuum, light travels much faster than sound. This explains why, during a thunderstorm, you usually:
- See the lightning before you hear the thunder
- Hear the thunder before you see the lightning
- See and hear both at the exact same moment
- Never hear thunder at all
Correct answer: See the lightning before you hear the thunder
You usually see the lightning before you hear the thunder, because light travels far faster than sound and reaches your eyes almost instantly while the sound takes longer to arrive. The thunder does not come first, and the gap between the flash and the rumble shows the two do not arrive together.
Density is defined as an object's mass divided by its:
- Temperature
- Speed
- Weight
- Volume
Correct answer: Volume
Density is defined as mass divided by volume, describing how much matter is packed into a given space. Dividing mass by temperature, speed, or weight does not give density, which compares the amount of matter to the amount of space that matter occupies.
A solid object placed in water will float if its density is:
- Greater than the density of water
- Exactly zero
- Less than the density of water
- Equal to its temperature
Correct answer: Less than the density of water
An object floats if its density is less than the density of water, because a less dense object is buoyed up and rises to the surface. An object denser than water sinks. Density cannot be zero for real matter, and comparing density to temperature is meaningless.
A magnet has two ends, or poles, named the:
- Top pole and bottom pole
- Hot pole and cold pole
- North pole and south pole
- Left pole and right pole
Correct answer: North pole and south pole
A magnet's two ends are named the north pole and the south pole, and these are where the magnetic force is strongest. Magnets are not labeled by top and bottom, hot and cold, or left and right, so only the north-and-south naming correctly describes a magnet's poles.
When you bring the north pole of one magnet near the north pole of another magnet, the two poles will:
- Attract each other
- Melt together
- Lose all magnetism
- Repel each other
Correct answer: Repel each other
Two north poles brought together will repel each other, because like magnetic poles push apart. Opposite poles, a north and a south, would attract instead. The magnets do not melt together and do not lose their magnetism simply by being brought close, so repulsion is the correct outcome.
Wrapping a coil of current-carrying wire around an iron core creates a magnet that can be switched on and off. This device is called a(n):
- Electromagnet
- Permanent magnet
- Insulator
- Capacitor
Correct answer: Electromagnet
This device is called an electromagnet, because the magnetism is produced by electric current and disappears when the current is switched off. A permanent magnet stays magnetic on its own, an insulator blocks current, and a capacitor stores charge, so none of those match a current-controlled magnet.
Resistance in an electric circuit is the opposition to the flow of current and is measured in units called:
- Volts
- Amperes
- Ohms
- Watts
Correct answer: Ohms
Resistance is measured in ohms, the unit that describes how strongly a component opposes the flow of current. Volts measure voltage, amperes measure current, and watts measure power, so each of those applies to a different electrical quantity rather than to resistance.
In a parallel circuit, several bulbs are connected on separate branches. If one bulb burns out, the other bulbs will:
- All go dark immediately
- Explode from extra voltage
- Run out of current instantly
- Keep glowing on their own branches
Correct answer: Keep glowing on their own branches
In a parallel circuit the other bulbs keep glowing on their own branches, because each branch provides a separate path for current and one broken branch does not interrupt the others. This is why parallel wiring is used in homes. The remaining bulbs do not go dark, explode, or lose current.
An ordinary battery supplies electrical energy by converting energy that is stored in the battery as:
- Chemical energy
- Sound energy
- Light energy
- Nuclear energy
Correct answer: Chemical energy
A battery supplies electrical energy by converting stored chemical energy, released through reactions inside the cells. Sound, light, and nuclear energy are not the source of a common battery's power, which comes from chemical reactions that drive electric current through a circuit.
Two metals are often joined to form an alloy. Which of the following best describes an alloy such as brass?
- A single pure element
- A type of acid
- A noble gas
- A mixture of two or more metals
Correct answer: A mixture of two or more metals
An alloy such as brass is a mixture of two or more metals, in this case mainly copper and zinc, blended to improve properties like strength. It is not a single pure element, nor is it an acid or a noble gas, which are entirely different categories of substances.
Water has the chemical formula H2O, which means each water molecule contains:
- Two hydrogen atoms and one oxygen atom
- Two oxygen atoms and one hydrogen atom
- Two helium atoms and one oxygen atom
- One hydrogen atom and one oxygen atom
Correct answer: Two hydrogen atoms and one oxygen atom
The formula H2O means each water molecule contains two hydrogen atoms and one oxygen atom. The subscript 2 applies to the hydrogen, and the oxygen has an understood count of one. The other choices reverse the atoms, swap in helium, or use the wrong number of hydrogen atoms.
When sugar fully dissolves in a cup of hot tea to form a clear liquid, the dissolved sugar is called the:
- Solvent
- Compound
- Catalyst
- Solute
Correct answer: Solute
The dissolved sugar is called the solute, the substance that gets dissolved in a solution. The liquid that does the dissolving, the tea, is the solvent. A compound is a bonded substance and a catalyst speeds reactions, so neither describes the dissolved sugar.
Boiling liquid water turns it into steam. During boiling, the water changes from a liquid into a:
- Solid
- Gas
- Plasma
- New element
Correct answer: Gas
During boiling the water changes from a liquid into a gas, the state we see as steam or water vapor. It does not become a solid, which would require freezing, nor a plasma, and boiling is a physical change that does not turn water into a new element.
Of the three common states of matter, which one has a definite volume but takes the shape of its container?
- Solid
- Gas
- Liquid
- None of the states
Correct answer: Liquid
A liquid has a definite volume but takes the shape of its container, since its particles stay close together yet can flow past one another. A solid keeps both a fixed shape and volume, while a gas spreads out to fill its entire container with no fixed volume of its own.
Carbon dioxide gas is produced when an antacid tablet fizzes in water. The bubbling and formation of a new gas indicate that this is a:
- Physical change
- Chemical change
- Change in mass only
- Change in color only
Correct answer: Chemical change
The bubbling and production of a new gas indicate a chemical change, because a new substance with new properties is being formed. A physical change would not create a new substance, and describing it as only a change in mass or color misses the key sign that a chemical reaction has occurred.
Adding heat to a block of ice at its melting point causes the ice to change into liquid water. This change of state is called:
- Sublimation
- Condensation
- Melting
- Boiling
Correct answer: Melting
The change from solid ice to liquid water is called melting, which occurs when enough heat is added at the melting point. Sublimation is the solid-to-gas change, condensation is gas to liquid, and boiling turns a liquid into a gas, so none of those describe ice becoming water.
On the pH scale, a common household substance such as baking soda dissolved in water, with a pH of about 9, would be classified as:
- Acidic
- Neutral
- Basic
- Metallic
Correct answer: Basic
A solution with a pH of about 9 is basic, since values above 7 on the pH scale indicate a base, also called an alkaline substance. A pH below 7 would be acidic and a pH of exactly 7 would be neutral, while pH does not describe whether something is metallic.
A balanced chemical equation must have the same number of each kind of atom on both sides because of the law of:
- Conservation of mass
- Universal gravitation
- Reflection
- Inertia
Correct answer: Conservation of mass
A balanced equation must have equal numbers of each kind of atom on both sides because of the law of conservation of mass, which says atoms are neither created nor destroyed in a reaction. Universal gravitation, reflection, and inertia are unrelated to balancing the atoms in a chemical equation.
The smallest particle of a compound that still keeps all the chemical properties of that compound is a:
- Proton
- Electron
- Neutron
- Molecule
Correct answer: Molecule
The smallest particle of a compound that retains its chemical properties is a molecule, made of two or more atoms bonded together. Protons, electrons, and neutrons are subatomic particles found inside atoms, so none of them represents the full compound or carries its chemical identity.
When two or more elements chemically combine in a fixed ratio to form a new substance with its own properties, the result is a:
- Mixture
- Compound
- Pure element
- Solution
Correct answer: Compound
When elements chemically combine in a fixed ratio to make a new substance, the result is a compound, such as water or table salt. A mixture and a solution are physical blends that can be separated, and a pure element contains only one kind of atom, so they do not fit this description.
A device used to measure electric current flowing in a circuit is called a(n):
- Thermometer
- Ammeter
- Barometer
- Scale
Correct answer: Ammeter
A device that measures electric current is called an ammeter, named for the ampere unit of current. A thermometer measures temperature, a barometer measures air pressure, and a scale measures weight or mass, so none of those instruments measure the flow of electric current.
Electrical power used by a device is found by multiplying the voltage across it by the:
- Current through it
- Mass of the device
- Length of the wire only
- Color of the casing
Correct answer: Current through it
Electrical power is found by multiplying the voltage by the current, the relationship often written as power equals voltage times current. The mass of the device, the wire length alone, and the color of the casing do not determine electrical power, which depends on both voltage and current.
A light-year, used in astronomy, is a unit that measures:
- A length of time
- A distance
- A temperature
- A mass
Correct answer: A distance
A light-year measures a distance, specifically how far light travels in one year. Despite the word year in its name, it is not a measure of time, and it has nothing to do with temperature or mass, so it serves only to express very large distances in space.
An object in free fall near the Earth's surface, ignoring air resistance, speeds up at a steady rate because of the constant pull of:
- Friction
- Magnetism
- Gravity
- Electric current
Correct answer: Gravity
A freely falling object speeds up at a steady rate because of the constant pull of gravity, which produces the same acceleration on all falling objects near Earth. Friction would slow it, while magnetism and electric current are unrelated to the downward acceleration of a falling object.
Visible light, radio waves, and X-rays all belong to the same family of energy that travels as waves through space, known as the:
- Sound spectrum
- Periodic table
- Electromagnetic spectrum
- Food chain
Correct answer: Electromagnetic spectrum
Visible light, radio waves, and X-rays all belong to the electromagnetic spectrum, the full range of waves that travel through space at the speed of light. The sound spectrum involves vibrations needing a medium, the periodic table organizes elements, and the food chain is a biology concept, so none of those describe these waves.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 13 17 21 25 29 33 37. What value sits at X = 1, Y = 7?
- 29
- 25
- 33
- 13
Correct answer: 29
The value is 29. The column headed 1 is the fifth column, and the fifth entry in the row 13 17 21 25 29 33 37 is 29. For reference, 25 sits in the column headed 0; 33 sits in the column headed 2.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 22 26 30 34 38 42. What value sits at X = 0, Y = 8?
- 38
- 30
- 26
- 22
Correct answer: 30
The value is 30. The column headed 0 is the third column, and the third entry in the row 22 26 30 34 38 42 is 30. For reference, 38 sits in the column headed 2; 26 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 44 49 54 59 64. What value sits at X = 2, Y = 6?
- 49
- 64
- 59
- 44
Correct answer: 59
The value is 59. The column headed 2 is the fourth column, and the fourth entry in the row 44 49 54 59 64 is 59. For reference, 49 sits in the column headed 0; 64 sits in the column headed 3.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 9 contains the entries 8 13 18 23 28 33. What value sits at X = -1, Y = 9?
- 23
- 8
- 13
- 18
Correct answer: 18
The value is 18. The column headed -1 is the third column, and the third entry in the row 8 13 18 23 28 33 is 18. For reference, 23 sits in the column headed 0; 8 sits in the column headed -3.
Refer to a Table Reading grid with columns headed 0, 1, 2, 3, 4 from left to right. The row for Y = 7 contains the entries 17 27 37 47 57. What value sits at X = 3, Y = 7?
- 47
- 37
- 17
- 27
Correct answer: 47
The value is 47. The column headed 3 is the fourth column, and the fourth entry in the row 17 27 37 47 57 is 47. For reference, 37 sits in the column headed 2; 17 sits in the column headed 0.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 10 contains the entries 61 58 55 52 49. What value sits at X = -1, Y = 10?
- 55
- 58
- 49
- 61
Correct answer: 58
The value is 58. The column headed -1 is the second column, and the second entry in the row 61 58 55 52 49 is 58. For reference, 55 sits in the column headed 0; 49 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 90 84 78 72 66 60 54. What value sits at X = 2, Y = 8?
- 72
- 54
- 60
- 90
Correct answer: 60
The value is 60. The column headed 2 is the sixth column, and the sixth entry in the row 90 84 78 72 66 60 54 is 60. For reference, 72 sits in the column headed 0; 54 sits in the column headed 3. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 11 contains the entries 33 37 41 45 49. What value sits at X = 3, Y = 11?
- 41
- 33
- 37
- 49
Correct answer: 49
The value is 49. The X value 3 selects the far-right column (the fifth column), and the fifth entry in the row 33 37 41 45 49 is 49. For reference, 41 sits in the column headed 1; 33 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 120 116 112 108 104 100. What value sits at X = 0, Y = 6?
- 112
- 116
- 104
- 120
Correct answer: 112
The value is 112. The column headed 0 is the third column, and the third entry in the row 120 116 112 108 104 100 is 112. For reference, 116 sits in the column headed -1; 104 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0 from left to right. The row for Y = 5 contains the entries 26 31 36 41 46. What value sits at X = -1, Y = 5?
- 36
- 41
- 26
- 31
Correct answer: 41
The value is 41. The column headed -1 is the fourth column, and the fourth entry in the row 26 31 36 41 46 is 41. For reference, 36 sits in the column headed -2; 26 sits in the column headed -4.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 7 contains the entries 4 11 18 25 32 39. What value sits at X = 1, Y = 7?
- 18
- 39
- 32
- 4
Correct answer: 32
The value is 32. The column headed 1 is the fifth column, and the fifth entry in the row 4 11 18 25 32 39 is 32. For reference, 18 sits in the column headed -1; 39 sits in the column headed 2.
Refer to a Table Reading grid with columns headed 0, 1, 2, 3, 4 from left to right. The row for Y = 8 contains the entries 55 51 47 43 39. What value sits at X = 2, Y = 8?
- 51
- 39
- 55
- 47
Correct answer: 47
The value is 47. The column headed 2 is the third column, and the third entry in the row 55 51 47 43 39 is 47. For reference, 51 sits in the column headed 1; 39 sits in the column headed 4. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 37 40 43 46 49 52. What value sits at X = 2, Y = 9?
- 49
- 43
- 37
- 40
Correct answer: 49
The value is 49. The column headed 2 is the fifth column, and the fifth entry in the row 37 40 43 46 49 52 is 49. For reference, 43 sits in the column headed 0; 37 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 25 30 35 40 45 50 55. What value sits at X = 0, Y = 6?
- 35
- 50
- 40
- 25
Correct answer: 40
The value is 40. The column headed 0 is the fourth column, and the fourth entry in the row 25 30 35 40 45 50 55 is 40. For reference, 35 sits in the column headed -1; 50 sits in the column headed 2.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 11 contains the entries 9 15 21 27 33. What value sits at X = 1, Y = 11?
- 21
- 9
- 15
- 27
Correct answer: 27
The value is 27. The column headed 1 is the fourth column, and the fourth entry in the row 9 15 21 27 33 is 27. For reference, 21 sits in the column headed 0; 9 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0, 1 from left to right. The row for Y = 6 contains the entries 88 82 76 70 64 58. What value sits at X = -1, Y = 6?
- 76
- 70
- 58
- 88
Correct answer: 70
The value is 70. The column headed -1 is the fourth column, and the fourth entry in the row 88 82 76 70 64 58 is 70. For reference, 76 sits in the column headed -2; 58 sits in the column headed 1. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 8 contains the entries 16 21 26 31 36 41. What value sits at X = 0, Y = 8?
- 26
- 41
- 31
- 16
Correct answer: 31
The value is 31. The column headed 0 is the fourth column, and the fourth entry in the row 16 21 26 31 36 41 is 31. For reference, 26 sits in the column headed -1; 41 sits in the column headed 2.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 100 94 88 82 76. What value sits at X = 2, Y = 9?
- 88
- 76
- 100
- 82
Correct answer: 82
The value is 82. The column headed 2 is the fourth column, and the fourth entry in the row 100 94 88 82 76 is 82. For reference, 88 sits in the column headed 1; 76 sits in the column headed 3. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 45 49 53 57 61 65. What value sits at X = 1, Y = 7?
- 57
- 53
- 45
- 49
Correct answer: 57
The value is 57. The column headed 1 is the fourth column, and the fourth entry in the row 45 49 53 57 61 65 is 57. For reference, 53 sits in the column headed 0; 45 sits in the column headed -2.
Refer to a Table Reading grid with columns headed 0, 1, 2, 3, 4 from left to right. The row for Y = 6 contains the entries 22 29 36 43 50. What value sits at X = 1, Y = 6?
- 36
- 29
- 22
- 43
Correct answer: 29
The value is 29. The column headed 1 is the second column, and the second entry in the row 22 29 36 43 50 is 29. For reference, 36 sits in the column headed 2; 22 sits in the column headed 0.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 60 57 54 51 48 45 42. What value sits at X = 0, Y = 9?
- 54
- 42
- 51
- 60
Correct answer: 51
The value is 51. The column headed 0 is the fourth column, and the fourth entry in the row 60 57 54 51 48 45 42 is 51. For reference, 54 sits in the column headed -1; 42 sits in the column headed 3. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 8 contains the entries 33 38 43 48 53. What value sits at X = -1, Y = 8?
- 43
- 33
- 48
- 38
Correct answer: 38
The value is 38. The column headed -1 is the second column, and the second entry in the row 33 38 43 48 53 is 38. For reference, 43 sits in the column headed 0; 33 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 8 14 20 26 32. What value sits at X = 0, Y = 7?
- 14
- 20
- 8
- 26
Correct answer: 14
The value is 14. The column headed 0 is the second column, and the second entry in the row 8 14 20 26 32 is 14. For reference, 20 sits in the column headed 1; 8 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0 from left to right. The row for Y = 6 contains the entries 50 55 60 65 70. What value sits at X = -2, Y = 6?
- 65
- 60
- 50
- 55
Correct answer: 60
The value is 60. The column headed -2 is the third column, and the third entry in the row 50 55 60 65 70 is 60. For reference, 65 sits in the column headed -1; 50 sits in the column headed -4.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 10 contains the entries 72 68 64 60 56 52. What value sits at X = 0, Y = 10?
- 64
- 52
- 60
- 72
Correct answer: 60
The value is 60. The column headed 0 is the fourth column, and the fourth entry in the row 72 68 64 60 56 52 is 60. For reference, 64 sits in the column headed -1; 52 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 11 15 19 23 27 31. What value sits at X = 2, Y = 8?
- 19
- 11
- 15
- 27
Correct answer: 27
The value is 27. The column headed 2 is the fifth column, and the fifth entry in the row 11 15 19 23 27 31 is 27. For reference, 19 sits in the column headed 0; 11 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 41 46 51 56 61. What value sits at X = 0, Y = 6?
- 46
- 51
- 41
- 56
Correct answer: 46
The value is 46. The column headed 0 is the second column, and the second entry in the row 41 46 51 56 61 is 46. For reference, 51 sits in the column headed 1; 41 sits in the column headed -1.
Refer to a Table Reading grid with columns headed 0, 1, 2, 3, 4 from left to right. The row for Y = 9 contains the entries 80 75 70 65 60. What value sits at X = 1, Y = 9?
- 70
- 75
- 60
- 80
Correct answer: 75
The value is 75. The column headed 1 is the second column, and the second entry in the row 80 75 70 65 60 is 75. For reference, 70 sits in the column headed 2; 60 sits in the column headed 4. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 9 14 19 24 29 34 39. What value sits at X = 0, Y = 7?
- 19
- 9
- 24
- 14
Correct answer: 24
The value is 24. The column headed 0 is the fourth column, and the fourth entry in the row 9 14 19 24 29 34 39 is 24. For reference, 19 sits in the column headed -1; 9 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 9 contains the entries 55 52 49 46 43. What value sits at X = 1, Y = 9?
- 49
- 43
- 55
- 46
Correct answer: 46
The value is 46. The column headed 1 is the fourth column, and the fourth entry in the row 55 52 49 46 43 is 46. For reference, 49 sits in the column headed 0; 43 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 27 32 37 42 47. What value sits at X = 0, Y = 8?
- 32
- 37
- 27
- 42
Correct answer: 32
The value is 32. The column headed 0 is the second column, and the second entry in the row 27 32 37 42 47 is 32. For reference, 37 sits in the column headed 1; 27 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0, 1 from left to right. The row for Y = 7 contains the entries 13 19 25 31 37 43. What value sits at X = -2, Y = 7?
- 31
- 25
- 13
- 19
Correct answer: 25
The value is 25. The column headed -2 is the third column, and the third entry in the row 13 19 25 31 37 43 is 25. For reference, 31 sits in the column headed -1; 13 sits in the column headed -4.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 6 contains the entries 98 93 88 83 78 73. What value sits at X = 0, Y = 6?
- 88
- 73
- 83
- 98
Correct answer: 83
The value is 83. The column headed 0 is the fourth column, and the fourth entry in the row 98 93 88 83 78 73 is 83. For reference, 88 sits in the column headed -1; 73 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 10 contains the entries 6 12 18 24 30 36. What value sits at X = 2, Y = 10?
- 18
- 6
- 12
- 30
Correct answer: 30
The value is 30. The column headed 2 is the fifth column, and the fifth entry in the row 6 12 18 24 30 36 is 30. For reference, 18 sits in the column headed 0; 6 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 40 44 48 52 56 60 64. What value sits at X = 0, Y = 8?
- 56
- 40
- 52
- 44
Correct answer: 52
The value is 52. The column headed 0 is the fourth column, and the fourth entry in the row 40 44 48 52 56 60 64 is 52. For reference, 56 sits in the column headed 1; 40 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 6 contains the entries 21 27 33 39 45. What value sits at X = -1, Y = 6?
- 33
- 21
- 39
- 27
Correct answer: 27
The value is 27. The column headed -1 is the second column, and the second entry in the row 21 27 33 39 45 is 27. For reference, 33 sits in the column headed 0; 21 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 11 contains the entries 15 19 23 27 31. What value sits at X = 0, Y = 11?
- 19
- 27
- 15
- 23
Correct answer: 19
The value is 19. The column headed 0 is the second column, and the second entry in the row 15 19 23 27 31 is 19. For reference, 27 sits in the column headed 2; 15 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0 from left to right. The row for Y = 8 contains the entries 44 40 36 32 28. What value sits at X = -3, Y = 8?
- 36
- 40
- 28
- 44
Correct answer: 40
The value is 40. The column headed -3 is the second column, and the second entry in the row 44 40 36 32 28 is 40. For reference, 36 sits in the column headed -2; 28 sits in the column headed 0. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 7 contains the entries 10 17 24 31 38 45. What value sits at X = 0, Y = 7?
- 24
- 45
- 31
- 10
Correct answer: 31
The value is 31. The column headed 0 is the fourth column, and the fourth entry in the row 10 17 24 31 38 45 is 31. For reference, 24 sits in the column headed -1; 45 sits in the column headed 2.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 53 50 47 44 41 38. What value sits at X = 1, Y = 9?
- 47
- 38
- 53
- 44
Correct answer: 44
The value is 44. The column headed 1 is the fourth column, and the fourth entry in the row 53 50 47 44 41 38 is 44. For reference, 47 sits in the column headed 0; 38 sits in the column headed 3. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 7 13 19 25 31 37 43. What value sits at X = 0, Y = 7?
- 19
- 7
- 25
- 13
Correct answer: 25
The value is 25. The column headed 0 is the fourth column, and the fourth entry in the row 7 13 19 25 31 37 43 is 25. For reference, 19 sits in the column headed -1; 7 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 8 contains the entries 64 59 54 49 44. What value sits at X = -1, Y = 8?
- 54
- 44
- 64
- 59
Correct answer: 59
The value is 59. The column headed -1 is the second column, and the second entry in the row 64 59 54 49 44 is 59. For reference, 54 sits in the column headed 0; 44 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 38 43 48 53 58. What value sits at X = 0, Y = 9?
- 43
- 48
- 38
- 53
Correct answer: 43
The value is 43. The column headed 0 is the second column, and the second entry in the row 38 43 48 53 58 is 43. For reference, 48 sits in the column headed 1; 38 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0, 1 from left to right. The row for Y = 6 contains the entries 9 16 23 30 37 44. What value sits at X = -3, Y = 6?
- 23
- 16
- 9
- 30
Correct answer: 16
The value is 16. The column headed -3 is the second column, and the second entry in the row 9 16 23 30 37 44 is 16. For reference, 23 sits in the column headed -2; 9 sits in the column headed -4.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 8 contains the entries 105 100 95 90 85 80. What value sits at X = 0, Y = 8?
- 95
- 80
- 90
- 105
Correct answer: 90
The value is 90. The column headed 0 is the fourth column, and the fourth entry in the row 105 100 95 90 85 80 is 90. For reference, 95 sits in the column headed -1; 80 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 3 9 15 21 27 33. What value sits at X = 2, Y = 7?
- 15
- 3
- 9
- 27
Correct answer: 27
The value is 27. The column headed 2 is the fifth column, and the fifth entry in the row 3 9 15 21 27 33 is 27. For reference, 15 sits in the column headed 0; 3 sits in the column headed -2.
Refer to a Table Reading grid with columns headed 0, 1, 2, 3, 4 from left to right. The row for Y = 6 contains the entries 56 52 48 44 40. What value sits at X = 0, Y = 6?
- 56
- 48
- 40
- 52
Correct answer: 56
The value is 56. The X value 0 selects the far-left column, and the first entry in the row 56 52 48 44 40 is 56. For reference, 48 sits in the column headed 2; 40 sits in the column headed 4. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 50 56 62 68 74 80 86. What value sits at X = 0, Y = 9?
- 62
- 50
- 68
- 56
Correct answer: 68
The value is 68. The column headed 0 is the fourth column, and the fourth entry in the row 50 56 62 68 74 80 86 is 68. For reference, 62 sits in the column headed -1; 50 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 7 contains the entries 73 69 65 61 57. What value sits at X = -1, Y = 7?
- 65
- 57
- 73
- 69
Correct answer: 69
The value is 69. The column headed -1 is the second column, and the second entry in the row 73 69 65 61 57 is 69. For reference, 65 sits in the column headed 0; 57 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 13 18 23 28 33. What value sits at X = 0, Y = 8?
- 18
- 23
- 13
- 28
Correct answer: 18
The value is 18. The column headed 0 is the second column, and the second entry in the row 13 18 23 28 33 is 18. For reference, 23 sits in the column headed 1; 13 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0 from left to right. The row for Y = 9 contains the entries 60 55 50 45 40. What value sits at X = -3, Y = 9?
- 50
- 55
- 40
- 60
Correct answer: 55
The value is 55. The column headed -3 is the second column, and the second entry in the row 60 55 50 45 40 is 55. For reference, 50 sits in the column headed -2; 40 sits in the column headed 0. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 6 contains the entries 12 19 26 33 40 47. What value sits at X = 0, Y = 6?
- 26
- 47
- 33
- 12
Correct answer: 33
The value is 33. The column headed 0 is the fourth column, and the fourth entry in the row 12 19 26 33 40 47 is 33. For reference, 26 sits in the column headed -1; 47 sits in the column headed 2.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 10 contains the entries 44 41 38 35 32 29. What value sits at X = 1, Y = 10?
- 38
- 29
- 44
- 35
Correct answer: 35
The value is 35. The column headed 1 is the fourth column, and the fourth entry in the row 44 41 38 35 32 29 is 35. For reference, 38 sits in the column headed 0; 29 sits in the column headed 3. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 8 contains the entries 5 12 19 26 33 40 47. What value sits at X = 0, Y = 8?
- 19
- 5
- 26
- 12
Correct answer: 26
The value is 26. The column headed 0 is the fourth column, and the fourth entry in the row 5 12 19 26 33 40 47 is 26. For reference, 19 sits in the column headed -1; 5 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 9 contains the entries 48 44 40 36 32. What value sits at X = -1, Y = 9?
- 40
- 32
- 48
- 44
Correct answer: 44
The value is 44. The column headed -1 is the second column, and the second entry in the row 48 44 40 36 32 is 44. For reference, 40 sits in the column headed 0; 32 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 54 59 64 69 74. What value sits at X = 0, Y = 7?
- 59
- 64
- 54
- 69
Correct answer: 59
The value is 59. The column headed 0 is the second column, and the second entry in the row 54 59 64 69 74 is 59. For reference, 64 sits in the column headed 1; 54 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0, 1 from left to right. The row for Y = 8 contains the entries 17 24 31 38 45 52. What value sits at X = -3, Y = 8?
- 31
- 24
- 17
- 38
Correct answer: 24
The value is 24. The column headed -3 is the second column, and the second entry in the row 17 24 31 38 45 52 is 24. For reference, 31 sits in the column headed -2; 17 sits in the column headed -4.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 7 contains the entries 110 104 98 92 86 80. What value sits at X = 0, Y = 7?
- 98
- 80
- 92
- 110
Correct answer: 92
The value is 92. The column headed 0 is the fourth column, and the fourth entry in the row 110 104 98 92 86 80 is 92. For reference, 98 sits in the column headed -1; 80 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 8 16 24 32 40 48. What value sits at X = 2, Y = 6?
- 24
- 8
- 16
- 40
Correct answer: 40
The value is 40. The column headed 2 is the fifth column, and the fifth entry in the row 8 16 24 32 40 48 is 40. For reference, 24 sits in the column headed 0; 8 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 14 20 26 32 38 44 50. What value sits at X = 0, Y = 6?
- 26
- 14
- 32
- 20
Correct answer: 32
The value is 32. The column headed 0 is the fourth column, and the fourth entry in the row 14 20 26 32 38 44 50 is 32. For reference, 26 sits in the column headed -1; 14 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 10 contains the entries 39 36 33 30 27. What value sits at X = -1, Y = 10?
- 33
- 27
- 39
- 36
Correct answer: 36
The value is 36. The column headed -1 is the second column, and the second entry in the row 39 36 33 30 27 is 36. For reference, 33 sits in the column headed 0; 27 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -1, 0, 1, 2, 3 from left to right. The row for Y = 9 contains the entries 18 24 30 36 42. What value sits at X = 0, Y = 9?
- 24
- 30
- 18
- 36
Correct answer: 24
The value is 24. The column headed 0 is the second column, and the second entry in the row 18 24 30 36 42 is 24. For reference, 30 sits in the column headed 1; 18 sits in the column headed -1.
Refer to a Table Reading grid with columns headed -4, -3, -2, -1, 0 from left to right. The row for Y = 7 contains the entries 25 31 37 43 49. What value sits at X = -3, Y = 7?
- 37
- 31
- 25
- 43
Correct answer: 31
The value is 31. The column headed -3 is the second column, and the second entry in the row 25 31 37 43 49 is 31. For reference, 37 sits in the column headed -2; 25 sits in the column headed -4.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2 from left to right. The row for Y = 8 contains the entries 66 61 56 51 46 41. What value sits at X = 0, Y = 8?
- 56
- 41
- 51
- 66
Correct answer: 51
The value is 51. The column headed 0 is the fourth column, and the fourth entry in the row 66 61 56 51 46 41 is 51. For reference, 56 sits in the column headed -1; 41 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 7 contains the entries 4 10 16 22 28 34. What value sits at X = 2, Y = 7?
- 16
- 4
- 10
- 28
Correct answer: 28
The value is 28. The column headed 2 is the fifth column, and the fifth entry in the row 4 10 16 22 28 34 is 28. For reference, 16 sits in the column headed 0; 4 sits in the column headed -2.
Refer to a Table Reading grid with columns headed -3, -2, -1, 0, 1, 2, 3 from left to right. The row for Y = 6 contains the entries 3 8 13 18 23 28 33. What value sits at X = 0, Y = 6?
- 13
- 3
- 18
- 8
Correct answer: 18
The value is 18. The column headed 0 is the fourth column, and the fourth entry in the row 3 8 13 18 23 28 33 is 18. For reference, 13 sits in the column headed -1; 3 sits in the column headed -3.
Refer to a Table Reading grid with columns headed -2, -1, 0, 1, 2 from left to right. The row for Y = 11 contains the entries 70 66 62 58 54. What value sits at X = -1, Y = 11?
- 62
- 54
- 70
- 66
Correct answer: 66
The value is 66. The column headed -1 is the second column, and the second entry in the row 70 66 62 58 54 is 66. For reference, 62 sits in the column headed 0; 54 sits in the column headed 2. Note that the row's values decrease from left to right, so the position counting still proceeds left to right.
Before time begins on Table Reading, a candidate notices the column headings run from -3 on the far left up to 3 on the far right. Knowing this layout in advance mainly helps because it lets the candidate:
- Change the printed values in the table
- Skip directly to a column once an X value is read, without recounting from zero
- Reduce the number of items to forty-five
- Earn extra seconds from the proctor
Correct answer: Skip directly to a column once an X value is read, without recounting from zero
Knowing the layout lets the candidate skip directly to a column once an X value is read, without recounting from zero. Memorizing that headings span -3 to 3 means an X like 2 is recognized as the sixth column instantly, saving lookup time. It cannot alter values, change the item count, or add time.
A candidate marks the chosen Y row with the left index finger and traces across with the pencil tip to the X column. The chief advantage of using two reference points rather than one is that it:
- Guarantees the value is even
- Locks both the row and the column so the eyes land on the true intersection
- Doubles the number of answer choices
- Removes the need to read headings
Correct answer: Locks both the row and the column so the eyes land on the true intersection
Using two reference points locks both the row and the column so the eyes land on the true intersection. Holding the row with a finger and the column with the pencil prevents drift on either axis at speed. It does not affect parity, change the choices, or eliminate the need to read headings.
Across the whole Table Reading subtest, which behavior best balances the competing demands of speed and accuracy?
- Verifying each answer three times before moving on
- Guessing every item without looking at the table
- Moving at a brisk steady pace while anchoring the correct row and column for each lookup
- Solving only the items that contain large numbers
Correct answer: Moving at a brisk steady pace while anchoring the correct row and column for each lookup
The best balance is moving at a brisk steady pace while anchoring the correct row and column for each lookup. This reaches enough items in the short clock while the anchoring guards against adjacent-cell errors. Triple-checking is too slow, blind guessing sacrifices accuracy, and value size is irrelevant.
On a Table Reading grid the same numeric value, such as 30, appears in more than one cell. When an item asks for X = 1, Y = 2, the candidate should report 30 only if:
- 30 is the largest value shown
- Any cell anywhere in the table holds 30
- 30 is the smallest of the answer choices
- The specific cell where column 1 meets row 2 holds 30
Correct answer: The specific cell where column 1 meets row 2 holds 30
The candidate should report 30 only if the specific cell where column 1 meets row 2 holds 30. The answer is defined by one exact intersection, so a matching value elsewhere is irrelevant. Largest value, presence anywhere, and smallest-choice reasoning all ignore the required coordinate.
A candidate is deciding whether to double-check an early Table Reading answer or move on to unreached items near the end of the time limit. The stronger choice is usually to:
- Move on, because reaching more items adds more scorable points
- Double-check, because the first items are weighted more
- Stop and rest to stay calm
- Erase and redo the first item from scratch
Correct answer: Move on, because reaching more items adds more scorable points
The stronger choice is usually to move on, because reaching more items adds more scorable points. Items are not weighted differently, so an unread item is a certain zero while a quick fresh lookup can earn a point. Re-checking, resting, or redoing early work spends time that could reach new items.
Suppose a Table Reading grid has eight labeled columns and six labeled rows. The number of individual data cells in the body of the table is:
- Forty-eight cells
- Fourteen cells
- Sixty-four cells
- Thirty-six cells
Correct answer: Forty-eight cells
The body holds forty-eight cells. Multiplying eight columns by six rows gives forty-eight data cells. Fourteen is the sum of the dimensions, while sixty-four and thirty-six assume square grids that do not match eight by six.
Why might a candidate who is highly accurate but slow still score poorly on Table Reading?
- Accurate answers are penalized
- The subtest deducts points for neatness
- Many items go unreached, and unreached items earn nothing
- Slow reading improves only the verbal subtests
Correct answer: Many items go unreached, and unreached items earn nothing
A slow but accurate candidate scores poorly because many items go unreached, and unreached items earn nothing. The forty-item, roughly seven-minute design rewards reaching items, so leftover questions forfeit points regardless of how correct the finished ones are. Accuracy is not penalized and neatness is not scored.
A candidate reads X first to fix the column, then reads Y to fix the row, then reports the cell where they cross. This ordered procedure is valuable mainly because it:
- Lets the candidate add X and Y together
- Prevents mixing up which number names the column and which names the row
- Changes the table into a single list
- Makes the answer choices appear
Correct answer: Prevents mixing up which number names the column and which names the row
The ordered procedure is valuable because it prevents mixing up which number names the column and which names the row. Consistently treating X as the column and Y as the row stops coordinate-swap errors under time pressure. It is not about adding the coordinates, reshaping the table, or generating the choices.
During Table Reading a candidate's pencil slips two columns past the target before reading a value. Compared with a one-column slip, this two-column slip is:
- Always corrected automatically
- Still an adjacent-region error but now reads the wrong X by two positions
- The same as reading the right cell
- Only a problem if the row is also wrong
Correct answer: Still an adjacent-region error but now reads the wrong X by two positions
A two-column slip is still an adjacent-region error but now reads the wrong X by two positions. Drifting sideways lands the candidate under a heading two places off, so the value belongs to a different X coordinate entirely. Nothing self-corrects, and the row being right does not make the wrong column acceptable.
A practice plan for Table Reading sets a goal of completing all forty items with several seconds to spare. Hitting this goal in practice most directly builds the candidate's:
- Vocabulary for the Word Knowledge subtest
- Ability to read aircraft instruments
- Pacing so the real subtest's time limit is not the limiting factor
- Memory of the periodic table
Correct answer: Pacing so the real subtest's time limit is not the limiting factor
Hitting that goal builds pacing so the real subtest's time limit is not the limiting factor. Finishing with time to spare in practice trains the rapid lookups needed to reach every item on test day. It does nothing for vocabulary, instrument reading, or chemistry recall, which belong to other subtests.
On a Table Reading item the four answer choices are 18, 24, 30, and 36. After locating the intersection the candidate sees the cell shows 27. The best next action is to:
- Choose 24 because it is closest to 27
- Recheck the column and row, since the correct value must be one of the four choices
- Choose 30 because it is also close
- Leave the item blank and refuse to guess
Correct answer: Recheck the column and row, since the correct value must be one of the four choices
The best next action is to recheck the column and row, since the correct value must be one of the four choices. A located value missing from the options signals a coordinate mis-read rather than a flaw, so re-locating the intersection is the fix. Picking the nearest number or skipping does not correct the error.
Why does anchoring on the Y row matter more than usual when a Table Reading grid has many rows packed close together?
- Extra rows change the X headings
- Closely spaced rows make it easy for the eyes to drift to a neighboring row mid-scan
- More rows mean the answer is always in the middle
- Crowded rows remove the need for X values
Correct answer: Closely spaced rows make it easy for the eyes to drift to a neighboring row mid-scan
Anchoring matters more because closely spaced rows make it easy for the eyes to drift to a neighboring row mid-scan. The tighter the rows, the smaller the vertical slip needed to land on the wrong Y, so a finger or marker keeps the intended row fixed. Row count does not change the X headings, force a middle answer, or remove the need for X.
On the attitude indicator, the line where the brown ground meets the blue sky is known as the:
- Index mark
- Heading bug
- Bank pointer
- Horizon line
Correct answer: Horizon line
The line dividing ground and sky is the horizon line. It is the moving reference against which the fixed aircraft symbol is compared to judge both pitch and bank. The heading bug, bank pointer, and index mark are not the ground-sky boundary.
On the attitude indicator, the small fixed shape that represents the examinee's own airplane is the:
- Turn needle
- Horizon line
- Compass card
- Aircraft (miniature) symbol
Correct answer: Aircraft (miniature) symbol
The fixed shape standing for your own airplane is the miniature aircraft symbol. It does not move; the ground-and-sky background shifts behind it to show attitude. The horizon line, compass card, and turn needle are separate references.
When the aircraft symbol appears to touch the horizon line at its center with the line perfectly flat, a pilot can conclude the wings are:
- Rolled left
- Rolled right
- Level
- Inverted
Correct answer: Level
The wings are level. A perfectly flat, untilted horizon line means there is no roll in either direction, so the wings are even. A tilt of the line to either side would signal a bank, and inverted flight would put the ground on top.
Comparing two attitude indicators that both show level wings: the first has the symbol just below the line and the second has it far below the line. The second aircraft is in a:
- Shallower dive than the first
- Steeper dive than the first
- Climb
- Right bank
Correct answer: Steeper dive than the first
The second aircraft is in a steeper dive than the first. The farther the symbol sits below the horizon line, the more the nose is pitched down, so a large gap below the line means a steeper descent. Both symbols are below the line, so both are diving, not climbing.
On the attitude indicator the horizon line tilts only a few degrees off level while the symbol stays centered on it. This indicates a:
- Steep dive
- Steep bank with level pitch
- Steep climb
- Shallow bank with level pitch
Correct answer: Shallow bank with level pitch
This indicates a shallow bank with level pitch. A small tilt of the horizon line means a gentle roll, and the symbol resting on the line means the nose is neither up nor down. A steep bank would tilt the line much more, and a climb or dive would offset the symbol vertically.
On the attitude indicator the colored portion representing the ground (commonly brown) is normally shown:
- Around the outer rim
- Above the horizon line
- On the left side only
- Below the horizon line
Correct answer: Below the horizon line
The ground portion is shown below the horizon line. The instrument mimics the real world view, placing earth beneath the sky, so brown sits under the line and blue above it. It is not confined to the left side or the outer rim.
If a pilot raises the nose into a climb without changing the wings, the horizon line on the attitude indicator will appear to:
- Spin in a circle
- Tilt to the right
- Tilt to the left
- Move down relative to the symbol
Correct answer: Move down relative to the symbol
The horizon line will appear to move down relative to the symbol. Because the symbol is fixed, pitching the nose up pushes the line below it so more sky shows above. A tilt would instead represent a bank, not a pure climb.
If a pilot lowers the nose into a dive without changing the wings, the horizon line on the attitude indicator will appear to:
- Tilt to the left
- Tilt to the right
- Move up relative to the symbol
- Disappear entirely
Correct answer: Move up relative to the symbol
The horizon line will appear to move up relative to the symbol. Since the symbol stays fixed, dropping the nose raises the line above it so more ground shows below. A tilt would instead indicate a bank rather than a pure dive.
On the attitude indicator a symbol sitting above a horizon line that is also tilted left-side-low tells the pilot the aircraft is simultaneously:
- Diving and banking right
- Climbing and banking left
- Level and banking right
- Climbing wings-level
Correct answer: Climbing and banking left
The aircraft is simultaneously climbing and banking left. The symbol above the line shows a climb and the left-side-low tilt shows a left bank, and the instrument displays both together. A right bank would lower the right edge, and a dive would put the symbol below the line.
On the attitude indicator a symbol sitting below a horizon line that is tilted right-side-low tells the pilot the aircraft is simultaneously:
- Climbing and banking left
- Diving and banking right
- Level and banking left
- Diving wings-level
Correct answer: Diving and banking right
The aircraft is simultaneously diving and banking right. The symbol below the line shows a dive and the right-side-low tilt shows a right bank. A left bank would lower the left edge, and a climb would put the symbol above the line.
On the attitude indicator, increasing the bank angle while holding pitch constant changes the display by:
- Adding numbers to the card
- Moving the symbol higher above the line
- Moving the symbol lower below the line
- Rotating the horizon line farther from horizontal
Correct answer: Rotating the horizon line farther from horizontal
Increasing the bank rotates the horizon line farther from horizontal. Greater roll tilts the line more steeply while constant pitch keeps the symbol's vertical position unchanged. Vertical movement of the symbol would represent a pitch change, not a bank change.
An attitude indicator shows the horizon line tilted right-side-low by only a slight amount, with the symbol centered. Compared with a line tilted right-side-low by a large amount, the slight tilt means a:
- Climb
- Steeper right bank
- Left bank
- Shallower right bank
Correct answer: Shallower right bank
The slight tilt means a shallower right bank. The bank angle equals how far the horizon line rotates from horizontal, so a small right-side-low tilt is a gentle right bank and a large one is a steep right bank. Both lower the right edge, so both are right banks.
On the attitude indicator, two pictures show identical left-side-low tilts; the first has the symbol on the line and the second has the symbol below the line. The second adds which element to the maneuver?
- A heading change only
- A climb
- A right bank
- A descent
Correct answer: A descent
The second adds a descent. With the tilt identical, both show the same left bank, but the symbol dropping below the line in the second adds nose-down pitch, a dive. A climb would instead raise the symbol above the line.
On the attitude indicator, the feature that does NOT change when only the heading changes is the:
- Size of the dial
- Color of the sky
- Shape of the symbol
- Tilt of the horizon line and the symbol's vertical position
Correct answer: Tilt of the horizon line and the symbol's vertical position
The tilt of the horizon line and the symbol's vertical position do not change with heading alone. The attitude indicator displays pitch and bank, not direction, so a pure heading change leaves its picture the same. Direction is read instead from the compass.
A pilot smoothly rolls out of a right bank back to wings level. During the roll-out, the horizon line on the attitude indicator will:
- Move straight up
- Become more steeply right-side-low
- Tilt left-side-low
- Return from right-side-low toward horizontal
Correct answer: Return from right-side-low toward horizontal
The horizon line will return from right-side-low toward horizontal. Reducing the right bank lessens the tilt until the line is flat at wings level. Becoming more right-side-low would mean increasing the bank, not rolling out.
On the attitude indicator, when blue sky fills nearly the entire instrument and only a sliver of ground remains at the bottom with level wings, the aircraft is in a:
- Shallow climb
- Steep wings-level climb
- Steep dive
- Steep bank
Correct answer: Steep wings-level climb
The aircraft is in a steep wings-level climb. Sky filling almost the whole display means a large nose-up pitch, and the flat (untilted) horizon line means the wings are level. A shallow climb would leave much more ground visible.
On the attitude indicator, when brown ground fills nearly the entire instrument and only a sliver of sky remains at the top with level wings, the aircraft is in a:
- Steep right bank
- Steep climb
- Shallow climb
- Steep wings-level dive
Correct answer: Steep wings-level dive
The aircraft is in a steep wings-level dive. Ground filling almost the whole display means a large nose-down pitch, and the flat horizon line means the wings are level. A climb would instead fill the display with sky.
On the attitude indicator, a small nose-up pitch held together with a strong right bank appears as the symbol:
- On a left-side-low line
- Far below a flat line
- Slightly above a steeply right-side-low line
- Far above a flat line
Correct answer: Slightly above a steeply right-side-low line
It appears as the symbol slightly above a steeply right-side-low line. The small climb lifts the symbol only a little above the line, while the strong right bank tilts the line sharply with its right edge low. A left-side-low line would mean a left bank.
On the heading indicator, the value used as the current heading is always the one positioned at the:
- Left edge of the card
- Bottom of the card
- Top reference index
- Center of the card
Correct answer: Top reference index
The current heading is always the value at the top reference index. The card rotates so that the direction the nose points lines up beneath this fixed top mark. The bottom, left edge, and center do not indicate the heading.
On the compass card, the marking N is the same heading as which numeric value?
- 180 degrees
- 090 degrees
- 360 (or 0) degrees
- 270 degrees
Correct answer: 360 (or 0) degrees
The marking N corresponds to 360 (or 0) degrees. North sits at the top of the compass rose where the count begins and ends. East is 090, south is 180, and west is 270.
On the compass, the marking W corresponds to which heading in degrees?
- 090
- 180
- 270
- 360
Correct answer: 270
The marking W corresponds to 270 degrees. West lies three-quarters of the way clockwise around the card from north. East is 090, south is 180, and north is 360.
On the compass, a heading of 020 degrees points the aircraft nearly toward the:
- West
- South
- North (just east of due north)
- Southeast
Correct answer: North (just east of due north)
A heading of 020 points nearly north, just slightly east of due north. Because 020 is only twenty degrees clockwise from 360/north, the nose points almost straight north. South, west, and southeast are far from 020.
On the compass, a heading of 200 degrees points the aircraft toward roughly the:
- East
- North-northeast
- South-southwest
- Northwest
Correct answer: South-southwest
A heading of 200 points roughly south-southwest. It sits just past due south (180) moving toward southwest (225), so the nose points in the south-southwest range. North-northeast, east, and northwest are far from 200.
On the compass, a heading of 290 degrees points the aircraft toward roughly the:
- East
- South
- West-northwest
- Southeast
Correct answer: West-northwest
A heading of 290 points roughly west-northwest. It lies just past due west (270) moving toward northwest (315), placing the nose in the west-northwest range. South, east, and southeast are far from 290.
On the compass, a heading of 110 degrees points the aircraft toward roughly the:
- East-southeast
- North
- West
- Southwest
Correct answer: East-southeast
A heading of 110 points roughly east-southeast. It lies just past due east (090) heading toward southeast (135), placing the nose in the east-southeast range. North, west, and southwest are far from 110.
An aircraft's compass heading changes from 030 to 330 over a few seconds. The aircraft has turned to the:
- Left
- Right
- Rear
- Neither; it climbed
Correct answer: Left
The aircraft has turned to the left. The shortest path from 030 down to 330 is counterclockwise (030 to 360 to 330), which is a left turn. A right turn would carry the heading the long way clockwise.
An aircraft's compass heading changes from 350 to 020 over a few seconds. The aircraft has turned to the:
- Left
- Right
- Rear
- Neither; it descended
Correct answer: Right
The aircraft has turned to the right. The shortest path from 350 up through 360 to 020 is clockwise, which is a right turn. A left turn would instead move the heading counterclockwise away from 020.
If the compass currently reads south (180), the reciprocal (opposite) heading is:
- North (360)
- East (090)
- West (270)
- Southeast (135)
Correct answer: North (360)
The reciprocal of south (180) is north (360). A reciprocal is 180 degrees away, and 180 plus 180 equals 360, which is north. East, west, and southeast are not directly opposite south.
If the compass currently reads northwest (315), the reciprocal (opposite) heading is:
- Northeast (045)
- Southeast (135)
- Southwest (225)
- North (360)
Correct answer: Southeast (135)
The reciprocal of northwest (315) is southeast (135). Subtracting 180 from 315 gives 135, which is southeast, the direction directly opposite northwest. Northeast, southwest, and north are not the opposite of northwest.
On the compass card, the letter E appears under the top index when the aircraft is flying a heading of:
- 090 degrees
- 180 degrees
- 270 degrees
- 360 degrees
Correct answer: 090 degrees
The letter E appears under the top index at a heading of 090 degrees. East corresponds to 090 on the compass rose, so flying that heading places E at the top reference. South is 180, west is 270, and north is 360.
On the compass card, the letter W appears under the top index when the aircraft is flying a heading of:
- 090 degrees
- 180 degrees
- 270 degrees
- 360 degrees
Correct answer: 270 degrees
The letter W appears under the top index at a heading of 270 degrees. West corresponds to 270 on the compass rose, so flying that heading places W at the top reference. East is 090, south is 180, and north is 360.
On the compass, the intercardinal direction southeast is found at which heading?
- 045 degrees
- 135 degrees
- 225 degrees
- 315 degrees
Correct answer: 135 degrees
Southeast is found at 135 degrees. It lies midway between east (090) and south (180), which is 135 on the card. Northeast is 045, southwest is 225, and northwest is 315.
On the compass, the intercardinal direction southwest is found at which heading?
- 045 degrees
- 135 degrees
- 225 degrees
- 315 degrees
Correct answer: 225 degrees
Southwest is found at 225 degrees. It lies midway between south (180) and west (270), which is 225 on the card. Northeast is 045, southeast is 135, and northwest is 315.
As an aircraft holds a steady heading and does not turn, the value under the top index of the compass will:
- Stay constant
- Increase steadily
- Decrease steadily
- Swing back and forth
Correct answer: Stay constant
The value under the top index will stay constant. With no turn, the direction of flight does not change, so the heading number remains fixed. A changing number would indicate the aircraft is turning.
On the compass, a heading that is changing in steps of 250, 240, 230 indicates the aircraft is turning toward the:
- Left
- Right
- Sky
- Ground
Correct answer: Left
The aircraft is turning to the left. Because headings increase clockwise, numbers decreasing from 250 toward 230 mean the nose is swinging counterclockwise, to the left. A right turn would make the numbers increase.
On the compass, a heading that is changing in steps of 300, 310, 320 indicates the aircraft is turning toward the:
- Left
- Right
- Sky
- Ground
Correct answer: Right
The aircraft is turning to the right. Headings increase clockwise, so numbers rising from 300 toward 320 mean the nose is swinging to the right. A left turn would make the numbers decrease.
An Instrument Comprehension item shows a level horizon with the symbol centered and the compass reading 090. The matching silhouette is an aircraft:
- Flying straight and level toward the east
- Climbing toward the east
- Diving toward the east
- Banking right toward the east
Correct answer: Flying straight and level toward the east
The matching silhouette is an aircraft flying straight and level toward the east. The centered symbol on a flat horizon means no climb, dive, or bank, and 090 points due east. The other options add pitch or bank not shown on the dials.
An Instrument Comprehension item shows the symbol above a level horizon and the compass reading 270. The matching silhouette is an aircraft:
- Diving toward the east
- Climbing toward the west
- Banking left toward the west
- Flying level toward the west
Correct answer: Climbing toward the west
The matching silhouette is an aircraft climbing toward the west. The symbol above a flat horizon means a wings-level climb, and 270 points due west. A dive would drop the symbol below the line, and a bank would tilt the line.
An Instrument Comprehension item shows the symbol below a level horizon and the compass reading 360. The matching silhouette is an aircraft:
- Climbing toward the north
- Diving toward the north
- Banking right toward the north
- Flying level toward the south
Correct answer: Diving toward the north
The matching silhouette is an aircraft diving toward the north. The symbol below a flat horizon means a wings-level dive, and 360 points due north. A climb would raise the symbol above the line, and a bank would tilt the line.
An Instrument Comprehension item shows the symbol centered on a horizon tilted right-side-low and the compass reading 225. The matching silhouette is an aircraft:
- Banking right in level flight, heading southwest
- Banking left in level flight, heading southwest
- Climbing and banking right, heading northeast
- Diving and banking right, heading southwest
Correct answer: Banking right in level flight, heading southwest
The matching silhouette is an aircraft banking right in level flight while heading southwest. The right-side-low tilt means a right bank, the centered symbol means level pitch, and 225 points southwest. A climb or dive would offset the symbol from the line.
An Instrument Comprehension item shows the symbol centered on a horizon tilted left-side-low and the compass reading 135. The matching silhouette is an aircraft:
- Banking right in level flight, heading southeast
- Banking left in level flight, heading southeast
- Climbing and banking left, heading northwest
- Diving and banking left, heading southeast
Correct answer: Banking left in level flight, heading southeast
The matching silhouette is an aircraft banking left in level flight while heading southeast. The left-side-low tilt means a left bank, the centered symbol means level pitch, and 135 points southeast. A climb or dive would offset the symbol from the line.
An Instrument Comprehension item shows the symbol above a horizon tilted right-side-low and the compass reading 315. The matching silhouette is an aircraft:
- Diving and banking left, heading southeast
- Level and banking right, heading northwest
- Climbing and banking right, heading northwest
- Climbing wings-level, heading northwest
Correct answer: Climbing and banking right, heading northwest
The matching silhouette is an aircraft climbing and banking right while heading northwest. The symbol above the line means a climb, the right-side-low tilt means a right bank, and 315 points northwest. The other options misread the pitch, bank, or heading.
An Instrument Comprehension item shows the symbol below a horizon tilted right-side-low and the compass reading 045. The matching silhouette is an aircraft:
- Climbing and banking left, heading southwest
- Level and banking right, heading northeast
- Diving and banking right, heading northeast
- Diving wings-level, heading northeast
Correct answer: Diving and banking right, heading northeast
The matching silhouette is an aircraft diving and banking right while heading northeast. The symbol below the line means a dive, the right-side-low tilt means a right bank, and 045 points northeast. The other options misread the pitch, bank, or heading.
An Instrument Comprehension item shows the symbol above a horizon tilted left-side-low and the compass reading 315. The matching silhouette is an aircraft:
- Diving and banking right, heading southeast
- Climbing and banking left, heading northwest
- Level and banking left, heading northwest
- Climbing wings-level, heading northwest
Correct answer: Climbing and banking left, heading northwest
The matching silhouette is an aircraft climbing and banking left while heading northwest. The symbol above the line means a climb, the left-side-low tilt means a left bank, and 315 points northwest. The other options misread the pitch, bank, or heading.
An Instrument Comprehension item shows the symbol below a horizon tilted left-side-low and the compass reading 225. The matching silhouette is an aircraft:
- Climbing and banking right, heading northeast
- Level and banking left, heading southwest
- Diving and banking left, heading southwest
- Diving wings-level, heading southwest
Correct answer: Diving and banking left, heading southwest
The matching silhouette is an aircraft diving and banking left while heading southwest. The symbol below the line means a dive, the left-side-low tilt means a left bank, and 225 points southwest. The other options misread the pitch, bank, or heading.
In an Instrument Comprehension item, the artificial horizon shows level wings with the symbol above the line, and the compass reads a steadily increasing number. The aircraft is best described as:
- Climbing while turning right
- Diving while turning left
- Level while flying straight
- Climbing while flying straight
Correct answer: Climbing while turning right
The aircraft is climbing while turning right. The symbol above the level-tilt portion shows a climb, and a steadily increasing heading shows a clockwise, right turn. A decreasing heading would mean a left turn, and a fixed heading would mean straight flight.
In an Instrument Comprehension item, the artificial horizon shows the symbol below the line, and the compass reads a steadily decreasing number. The aircraft is best described as:
- Climbing while turning right
- Diving while turning left
- Diving while flying straight
- Level while turning left
Correct answer: Diving while turning left
The aircraft is diving while turning left. The symbol below the line shows a dive, and a steadily decreasing heading shows a counterclockwise, left turn. An increasing heading would mean a right turn, and a fixed heading would mean straight flight.
A rear-view silhouette shows both wing tips at equal height and the nose pointing slightly upward. The aircraft is:
- Banking left
- Banking right
- Climbing wings-level
- Diving wings-level
Correct answer: Climbing wings-level
The aircraft is climbing wings-level. Equal wing-tip heights mean no bank, and a nose pointing upward means a climb, so the airplane is in a wings-level climb. A lowered wing would indicate a bank, and a lowered nose would indicate a dive.
A rear-view silhouette shows the right wing tip high, the left wing tip low, and the nose pointing downward. The aircraft is:
- Climbing and banking left
- Diving and banking left
- Diving and banking right
- Climbing and banking right
Correct answer: Diving and banking left
The aircraft is diving and banking left. The low left wing indicates a left bank and the lowered nose indicates a dive. A right bank would lower the right wing, and a climb would raise the nose.
When matching a silhouette viewed from behind, the wing tip that is lower than the other always indicates the:
- Direction of the bank
- Direction of the climb
- Compass heading
- Airspeed
Correct answer: Direction of the bank
The lower wing tip always indicates the direction of the bank. An airplane rolls toward its dropped wing, so a low right wing means a right bank and a low left wing means a left bank. Climb is shown by the nose, and heading comes from the compass.
When matching a silhouette viewed from behind, the position of the nose (up or down) always indicates the:
- Bank direction
- Pitch (climb or dive)
- Heading
- Wing color
Correct answer: Pitch (climb or dive)
The nose position always indicates pitch, the climb or dive. A raised nose shows a climb and a lowered nose shows a dive. Bank is shown by the wing tips, and heading comes from the compass.
If three answer silhouettes all show a climbing right bank but each points a different way, the examinee should select the one whose direction matches the:
- Compass heading
- Tilt of the horizon line
- Size of the symbol
- Question number
Correct answer: Compass heading
The examinee should select the silhouette whose direction matches the compass heading. When pitch and bank are identical across choices, only heading distinguishes them, and heading is read from the compass. The horizon-line tilt only gives bank, not direction.
Because pitch and bank are read on one dial and direction on another, a complete Instrument Comprehension answer requires that the chosen silhouette agree with the dials on all of the following EXCEPT:
- Climb or dive
- Left or right bank
- Compass heading
- Outside air temperature
Correct answer: Outside air temperature
The silhouette need not agree on outside air temperature, which the Instrument Comprehension dials do not show. The correct picture must match the climb-or-dive and bank from the artificial horizon and the heading from the compass. Temperature is simply not part of these two instruments.
An Instrument Comprehension item shows level wings with the symbol on the line and a compass reading that holds steady at 045. The matching silhouette is an aircraft:
- Flying straight and level toward the northeast
- Climbing toward the northeast
- Banking right toward the northeast
- Turning right toward the east
Correct answer: Flying straight and level toward the northeast
The matching silhouette is an aircraft flying straight and level toward the northeast. Level wings with the symbol on the line means no climb, dive, or bank, and a steady 045 points northeast with no turn. The other options add pitch, bank, or a turn not shown.
An Instrument Comprehension item shows the symbol on a horizon tilted steeply left-side-low while the compass holds steady. The aircraft is in a:
- Steep left bank at a fixed instant
- Steep right bank
- Gentle climb
- Wings-level descent
Correct answer: Steep left bank at a fixed instant
The aircraft is in a steep left bank captured at a fixed instant. The steep left-side-low tilt shows a large left bank, and the steady compass reflects the heading at that single moment shown in the picture. A right bank would lower the right edge instead.
In Instrument Comprehension, why must an examinee consult the compass even after fully reading the artificial horizon?
- The horizon does not show which direction the aircraft is heading
- The horizon does not show bank
- The compass shows pitch
- The compass shows airspeed
Correct answer: The horizon does not show which direction the aircraft is heading
The examinee must consult the compass because the artificial horizon does not show which direction the aircraft is heading. The horizon gives pitch and bank only, so direction must come from the separate compass to pick the right silhouette. The compass does not show pitch or airspeed.
On the compass card, the marking S is the same heading as which numeric value?
- 090 degrees
- 270 degrees
- 360 degrees
- 180 degrees
Correct answer: 180 degrees
The marking S corresponds to 180 degrees. South sits opposite north at the halfway point of the compass rose. East is 090, west is 270, and north is 360.
An Instrument Comprehension item shows the symbol centered on a horizon tilted right-side-low and the compass reading 135. The matching silhouette is an aircraft:
- Climbing and banking right, heading northwest
- Diving and banking right, heading southeast
- Banking left in level flight, heading southeast
- Banking right in level flight, heading southeast
Correct answer: Banking right in level flight, heading southeast
The matching silhouette is an aircraft banking right in level flight while heading southeast. The right-side-low tilt means a right bank, the centered symbol means level pitch, and 135 points southeast. A climb or dive would offset the symbol from the line.
On the AFOQT Block Counting subtest, two cubes are counted as touching only when they share what kind of contact?
- The same color shading
- Only an edge line
- A face (all or part of a flat side meeting another flat side)
- Only a single corner point
Correct answer: A face (all or part of a flat side meeting another flat side)
Two cubes count as touching when they share a face, meaning all or part of one flat side meets a flat side of the other. The official Block Counting rule counts only face contact; cubes that meet at a single corner point or along an edge line only, or that merely share shading, are not counted as touching.
The AFOQT Block Counting subtest gives 30 questions in 4.5 minutes. This works out to roughly how many seconds per question on average?
- About 45 seconds
- About 9 seconds
- About 30 seconds
- About 20 seconds
Correct answer: About 9 seconds
You have about 9 seconds per question. Dividing 4.5 minutes, which is 270 seconds, by the 30 questions gives roughly 9 seconds each, confirming Block Counting is a heavily speeded subtest that rewards fast, accurate spatial counting.
Two cubes in a Block Counting figure meet only along a single edge, with no flat side overlapping. Under the official counting rule, this edge-only contact is counted as:
- Two touching blocks
- Not a touching block
- Half of a touching block
- One touching block
Correct answer: Not a touching block
Edge-only contact is not counted as a touching block. The official rule counts a neighbor only when the cubes share a face; two cubes that meet just along an edge line, with no flat side actually pressed against a flat side, do not qualify as touching.
A cube has flat-side neighbors on its left, right, and top, while its front, back, and bottom faces are all open. How many blocks does it touch?
- Four
- Two
- Three
- Five
Correct answer: Three
It touches three other blocks. Neighbors press against the left, right, and top faces, which is three face contacts, while the open front, back, and bottom faces add nothing to the total.
Skill on the AFOQT Block Counting subtest depends most on the ability to mentally picture a three-dimensional pile, including the parts you cannot directly see. This ability is best described as:
- Spatial visualization
- Vocabulary recall
- Mental arithmetic
- Reading comprehension
Correct answer: Spatial visualization
The ability is best described as spatial visualization. Block Counting requires you to build and rotate a mental model of how cubes stack and meet in three dimensions, so you can account for hidden touching blocks rather than relying on arithmetic, vocabulary, or reading.
A cube sits at the bottom front of a deep pile. You can clearly see neighbors on its left and right, and the pile continues backward so a cube must press against its back face as well. Counting the hidden back neighbor, how many blocks does it touch?
- Four
- Three
- Two
- One
Correct answer: Three
It touches three other blocks. The visible left and right neighbors make two, and the cube directly behind it, hidden by the front row, adds the third, so the total is three.
On Block Counting, the figures are always drawn using cubes that are all the same size and shape. The main reason for using identical cubes is to:
- Isolate spatial counting from other distractions
- Test reading speed
- Allow faces to overlap partially
- Make the figures colorful
Correct answer: Isolate spatial counting from other distractions
Identical cubes isolate spatial counting from other distractions. By keeping every block the same size and shape, the subtest ensures your score reflects only how well you track three-dimensional contacts, not your ability to compare different shapes or sizes.
A flat row of five cubes is lined up touching face-to-face in a straight line. The cube in the exact center of the row touches how many other blocks?
- One
- Two
- Four
- Three
Correct answer: Two
The center cube touches two other blocks. As an interior cube of the straight row, it shares a face with the cube on its left and a face with the cube on its right, giving two contacts.
A test taker counts a cube as touching another cube simply because the two are drawn very close together near the front of the figure. This is a risky habit because two cubes can appear near each other yet:
- Be counted twice automatically
- Always touch on every face
- Change size in the drawing
- Be separated by a gap or by another block, so they do not actually share a face
Correct answer: Be separated by a gap or by another block, so they do not actually share a face
Two cubes drawn near each other can be separated by a gap or by another block, so they do not actually share a face. Visual closeness in a perspective drawing is not proof of contact; only an actual shared face counts, which is why proximity alone leads to overcounting.
A cube near the bottom of a wide pile has a neighbor pressed against every one of its four side faces (left, right, front, and back), plus one cube stacked on top, while it rests on the floor. How many blocks does it touch?
- Five
- Four
- Six
- Three
Correct answer: Five
It touches five other blocks. The four side faces each have a neighbor and the top face has one more, totaling five; the bottom face rests on the floor, which is not a block, so it adds nothing.
Because the Block Counting subtest is heavily timed, a strong pacing habit is to:
- Count every block in each entire pile before answering
- Re-check each answer twice before moving on
- Move steadily through every figure at a quick, even pace
- Spend extra time on the first few figures and rush the rest
Correct answer: Move steadily through every figure at a quick, even pace
A strong habit is to move steadily through every figure at a quick, even pace. With only about 9 seconds per item, an even tempo lets you reach all 30 questions, whereas dwelling early or double-checking everything leaves later items unanswered.
A cube is positioned with a neighbor pressed against its bottom face and a neighbor pressed against its left face only, with all other faces open. How many blocks does it touch?
- Four
- Three
- Two
- One
Correct answer: Two
It touches two other blocks. Contacts exist on the bottom and left faces, which is two neighbors, while the top, right, front, and back faces are open and contribute nothing.
A cube is completely buried deep inside a large packed pile so that a neighbor presses against all six of its faces. How many blocks does this hidden interior cube touch?
- Four
- Eight
- Six
- Five
Correct answer: Six
It touches six other blocks. A cube has six faces, and with a neighbor pressed against each one the interior cube reaches the maximum of six face contacts, even though none of it is visible from outside the pile.
On Block Counting, a frequent reason test takers undercount is that they:
- Add the total number of cubes in the pile
- Count the floor as a block
- Forget the blocks hidden behind or beneath the visible cubes
- Count cubes that are the same color twice
Correct answer: Forget the blocks hidden behind or beneath the visible cubes
A frequent reason for undercounting is forgetting the blocks hidden behind or beneath the visible cubes. Those concealed neighbors still share a face with the target and must be included, so failing to visualize them leaves the count too low.
A vertical column is four cubes tall, each resting directly on the one below. The cube that is second from the bottom touches how many other blocks?
- Two
- One
- Three
- Four
Correct answer: Two
It touches two other blocks. As an interior cube of the column, it has the cube directly below pressing against its bottom face and the cube directly above pressing against its top face, for two contacts.
A single cube rests on a flat surface and has one cube pressed against its left face and one cube pressed against its right face, with nothing above, below by stacking, in front, or behind. How many blocks does it touch?
- Four
- Three
- One
- Two
Correct answer: Two
It touches two other blocks. Only the left and right faces have neighbors pressed against them, while the top, front, and back faces remain open, so the total is two.
In a perspective drawing, the back face of a cube at the front of the pile is impossible to see directly. The most reliable way to decide whether a block touches that hidden back face is to:
- Assume nothing is there
- Use the visible structure of the pile to reason out whether a cube must occupy that space
- Choose the smallest answer offered
- Count the visible cubes and divide by two
Correct answer: Use the visible structure of the pile to reason out whether a cube must occupy that space
The reliable approach is to use the visible structure of the pile to reason out whether a cube must occupy that hidden space. Because the pile is a solid three-dimensional object, the shape of what you can see often forces the conclusion that a cube fills the unseen position behind the target.
Four cubes form an L-shape lying flat: three cubes in a straight row, plus one extra cube pressed against the front face of the rightmost cube of the row. The rightmost cube of the row touches how many other blocks?
- Four
- Three
- One
- Two
Correct answer: Two
The rightmost cube of the row touches two other blocks. It shares a face with the cube to its left in the row and a face with the extra cube pressed against its front, giving two contacts.
A cube sits at a position where it has a neighbor on its top, bottom, front, and back faces, but the left and right faces are open. How many blocks does it touch?
- Five
- Six
- Three
- Four
Correct answer: Four
It touches four other blocks. Four faces (top, bottom, front, and back) each have a neighbor, while the open left and right faces contribute nothing, so the count is four.
Why does the AFOQT Block Counting subtest place some touching blocks where they are hidden from the viewer's angle?
- To save ink on the page
- Because hidden blocks are never counted
- To make every answer the number six
- To force test takers to mentally reconstruct the unseen part of a 3D figure
Correct answer: To force test takers to mentally reconstruct the unseen part of a 3D figure
It hides some touching blocks to force test takers to mentally reconstruct the unseen part of a three-dimensional figure. Picturing the concealed portion of the pile and counting the neighbors that must be there is precisely the spatial skill the subtest is built to measure.
A solid wall is three cubes tall and three cubes wide, all in one vertical plane (nine cubes). The cube in the very center of the wall touches how many other cubes by their faces?
- Two
- Three
- Six
- Four
Correct answer: Four
The center cube touches four other cubes by their faces. It has a face neighbor above, below, to its left, and to its right, giving four contacts; the diagonal corner cubes meet it only at a corner, which does not count.
In that same three-by-three vertical wall of nine cubes, a cube at one of the four corners touches how many other cubes by their faces?
- Two
- One
- Three
- Four
Correct answer: Two
A corner cube of the wall touches two other cubes by their faces. It has one face neighbor along the wall in each of the two directions that lead toward the interior, while its two outer faces meet open air.
A staircase rises to the right: each cube has the next cube placed both higher and to its right. Consider an interior step cube that has one cube pressed against its right face, one against its top face, and one against its left face, with all other faces open. How many blocks does it touch?
- One
- Two
- Three
- Four
Correct answer: Three
It touches three other blocks. The neighbors press against its right, top, and left faces, which is three contacts, while the remaining faces are open and add nothing.
A test taker answers that a numbered cube touches seven other blocks. Since the cubes are all identical and meet only flush on faces, this answer must be a mistake because a single cube can have at most:
- Twelve face neighbors
- Eight face neighbors
- Six face neighbors
- Four face neighbors
Correct answer: Six face neighbors
A single cube can have at most six face neighbors. Because a cube has exactly six faces and each face can press flush against only one identical cube, the largest possible contact count is six, so an answer of seven cannot be correct.
A cube has a neighbor pressed against its top face and a neighbor pressed against its bottom face, and nothing else touches it. Where is this cube most likely located?
- At the top of a tower
- Sandwiched in the interior of a vertical column
- At the corner of a flat layer
- Alone on an empty surface
Correct answer: Sandwiched in the interior of a vertical column
It is most likely sandwiched in the interior of a vertical column. A neighbor on both the top and bottom faces means cubes are stacked directly above and below it, which happens for an interior cube of a column, not for an isolated cube, a top cube, or a flat corner cube.
A cross (plus-sign) shape lies flat: a center cube with one cube pressed against each of its four side faces. A second, identical cross is built one layer higher, directly on top, and the two centers are stacked. The lower center cube touches how many other blocks?
- Six
- Three
- Four
- Five
Correct answer: Five
The lower center cube touches five other blocks. It has its four arm cubes pressed against its left, right, front, and back faces (four contacts) plus the upper center cube resting on its top face, for a total of five.
A cube rests on the floor with a neighbor on its left, right, and back faces, and a cube stacked on its top, while the front face is open. How many blocks does it touch?
- Five
- Four
- Three
- Two
Correct answer: Four
It touches four other blocks. The neighbors on the left, right, and back faces make three, and the cube stacked on top adds the fourth; the open front face and the floor below contribute nothing.
On Block Counting, if time is almost up and a figure remains unanswered, the best move under AFOQT scoring is to:
- Mark a quick best guess, because there is no penalty for wrong answers
- Leave it blank to avoid losing points
- Always pick the smallest number
- Spend a full minute solving it carefully
Correct answer: Mark a quick best guess, because there is no penalty for wrong answers
The best move is to mark a quick best guess, because AFOQT scoring has no penalty for wrong answers. Since only correct answers earn points, a guess can only help, while leaving the item blank guarantees zero credit on a speeded subtest.
Two cubes are arranged so that the bottom half of one cube's right face is pressed flat against the top half of the other cube's left face (a partial but flat overlap). Under the official rule, do these cubes count as touching?
- Only if they are the same color
- Yes, because all or part of a face touching counts
- No, because the faces only partly overlap
- Only if they overlap exactly half
Correct answer: Yes, because all or part of a face touching counts
Yes, they count as touching, because all or part of a face touching counts. The official Block Counting rule does not require a full-face match; any flat overlap of one face against another qualifies as a face contact.
A pyramid-style stack has a bottom layer of nine cubes in a three-by-three square and a single cube placed centered on top, resting on the center cube of the layer below. The single top cube touches how many other blocks?
- Four
- Three
- Two
- One
Correct answer: One
The top cube touches one other block. Centered directly over the middle of the three-by-three base, it rests its bottom face only on the center cube beneath it, so it has a single contact.
A cube near the surface of a pile shows three faces open to the air in the drawing. The most blocks it could possibly touch is therefore:
- Six
- Five
- Four
- Three
Correct answer: Three
The most it could touch is three. With three of its six faces open to the air, only the remaining three faces can have neighbors pressed against them, so three is the maximum possible contact count.
A flat row of four cubes is lined up touching face-to-face. How many of the four cubes touch exactly one other block?
- Four
- Two
- One
- Three
Correct answer: Two
Two of the four cubes touch exactly one other block. The two end cubes each have a single neighbor, while the two interior cubes each touch two, so exactly two cubes have a single contact.
A cube sits at the top corner of a stack. It has one cube pressed against its left face, one cube pressed against its back face, and one cube directly below it, with all other faces open. How many blocks does it touch?
- Four
- Two
- One
- Three
Correct answer: Three
It touches three other blocks. The neighbors press against its left face, its back face, and its bottom face, giving three contacts; the open top, right, and front faces add nothing.
Two separate piles of cubes stand on a table with empty space between them. A cube on the near edge of one pile has clear air between it and the nearest cube of the other pile. For this cube, the cubes in the other pile are:
- Counted as half each
- Not counted, because the air gap means no shared face
- Counted as touching neighbors
- Counted only if they are taller
Correct answer: Not counted, because the air gap means no shared face
They are not counted, because the air gap means no shared face. Contact requires a flat side pressed against a flat side; an empty gap between the two piles leaves no face contact, so none of the other pile's cubes count for this cube.
A reliable, systematic method for counting contacts on a numbered cube is to check each of its six faces in turn. How many possible face positions must you check?
- Four
- Eight
- Three
- Six
Correct answer: Six
You must check six possible face positions. A cube has six faces, so a complete method asks whether a block presses against the top, bottom, left, right, front, and back, then totals the neighbors found.
A two-layer stack has a bottom layer that is a three-cube-by-one-cube row and an identical three-cube row resting directly on top. Consider the center cube of the bottom row. It touches how many other cubes by their faces?
- Three
- Two
- Four
- Five
Correct answer: Three
It touches three other cubes by their faces. Within the bottom row it has a neighbor on its left and on its right, and the cube directly above it in the top row adds a third contact, for a total of three.
In the same two-layer stack (a three-cube bottom row with an identical three-cube row on top), consider the center cube of the TOP row. It touches how many other cubes by their faces?
- Five
- Four
- Three
- Two
Correct answer: Three
It touches three other cubes by their faces. Within the top row it has a left and a right neighbor, and the cube directly beneath it in the bottom row adds the third contact, for a total of three.
A test taker forgets that a cube is tucked directly behind the numbered block and reports one fewer contact than the correct total. This kind of error happens because the test taker:
- Confused two different piles
- Counted the same cube twice
- Counted the floor as a block
- Overlooked a hidden but face-touching block
Correct answer: Overlooked a hidden but face-touching block
The error happens because the test taker overlooked a hidden but face-touching block. A cube directly behind the target shares a face and must be counted; missing it because it is out of direct view produces a total that is one too low.
A cube at the bottom edge of a wall has a neighbor on its left face, on its right face, and on its top face, with the floor below and open air in front and behind. How many blocks does it touch?
- Three
- Five
- Two
- Four
Correct answer: Three
It touches three other blocks. The left, right, and top faces each have a neighbor, which is three contacts; the front and back faces are open and the floor below is not a block.
A cube touches a neighbor on five of its six faces, with only the front face left open. How many blocks does it touch?
- Four
- Six
- Five
- Three
Correct answer: Five
It touches five other blocks. Five faces each have a neighbor pressed against them while the single open front face adds nothing, so the contact total is five.
A cube directly behind the numbered cube is completely hidden in the drawing but shares a full face with it. For counting purposes, this hidden cube should be:
- Counted as two blocks
- Counted as one touching block
- Ignored because it cannot be seen
- Counted only if visible from above
Correct answer: Counted as one touching block
It should be counted as one touching block. A cube sharing a full face with the target is a genuine neighbor regardless of whether it is visible, so it adds exactly one to the count of touching blocks.
A long flat row of six cubes is lined up touching face-to-face. How many of the six cubes touch exactly two other blocks?
- Six
- Four
- Two
- Three
Correct answer: Four
Four of the six cubes touch exactly two other blocks. The four interior cubes each have a neighbor on both sides, while the two end cubes touch only one block apiece, so exactly four cubes have two contacts.
A cube rests at the center of the bottom layer of a deep, wide pile. It has a neighbor on all four side faces and a cube stacked on top, resting on the floor. Many test takers undercount this cube because they:
- Miss the side and back neighbors hidden behind the front cubes
- Count the floor as a block
- Count the top cube twice
- Include cubes from a separate pile
Correct answer: Miss the side and back neighbors hidden behind the front cubes
They undercount because they miss the side and back neighbors hidden behind the front cubes. A central base cube is surrounded by cubes that the front of the pile conceals, so visualizing those hidden contacts is essential to reach the correct total of five.
A cube sits with a neighbor on its right face, its front face, and its bottom face only, with the left, back, and top faces open. How many blocks does it touch?
- Three
- Four
- Two
- One
Correct answer: Three
It touches three other blocks. The neighbors press against the right, front, and bottom faces, which is three contacts, while the open left, back, and top faces add nothing.
Two cubes meet so that a complete flat face of one is pressed exactly against a complete flat face of the other, with nothing between them. Under the official rule, this is:
- Counted as two touching blocks
- A corner contact that does not count
- Not a contact, because faces must only partly touch
- A clear face contact that counts as one touching block
Correct answer: A clear face contact that counts as one touching block
It is a clear face contact that counts as one touching block. A full flat face pressed against a full flat face is the strongest form of the face contact the official rule requires, so each such cube is counted once.
A cube at the outer corner of the top layer of a stack has open air on three of its faces. It has a cube directly below it and one cube pressed against one side face. How many blocks does it touch?
- Three
- Four
- Two
- One
Correct answer: Two
It touches two other blocks. The contacts are the cube directly below it and the single side neighbor; the three open faces meet only air, so the total is two.
Comparing positions in a large pile, a cube fully buried in the interior generally touches a number of blocks that is:
- Less than a cube on an outer corner
- Equal to an isolated cube
- Always exactly zero
- Greater than a cube on an outer corner
Correct answer: Greater than a cube on an outer corner
An interior cube generally touches more blocks than a cube on an outer corner. The interior cube can have neighbors on all six faces, while a corner cube has several faces meeting open air, so the buried position yields the higher contact count.
A vertical column is five cubes tall. How many of the five cubes touch exactly two other blocks?
- Four
- Two
- Five
- Three
Correct answer: Three
Three of the five cubes touch exactly two other blocks. The three interior cubes each have a neighbor above and below, while the top and bottom cubes touch only one block apiece, so exactly three cubes have two contacts.
A cube sits in the bottom row of a stack and has a neighbor on its left face and on its right face, plus a cube directly behind it and a cube directly on top, with the front face open. How many blocks does it touch?
- Two
- Four
- Five
- Three
Correct answer: Four
It touches four other blocks. The neighbors on the left, right, and back faces make three, and the cube on top adds the fourth; the open front face and the floor below add nothing.
When two cubes look slightly offset on the page because of the perspective drawing, the best way to decide whether they touch is to determine whether:
- They point the same direction
- They are shaded the same
- Any part of a flat face of one is pressed against a flat face of the other
- They are exactly the same height on the page
Correct answer: Any part of a flat face of one is pressed against a flat face of the other
The best test is whether any part of a flat face of one is pressed against a flat face of the other. Face contact, full or partial, is what counts; the offset look caused by perspective does not change whether the surfaces actually meet.
A two-by-two-by-two cube of eight blocks is fully solid. Every one of the eight cubes occupies a corner of the big cube. Each individual cube therefore touches how many other cubes by their faces?
- Four
- Six
- Three
- Two
Correct answer: Three
Each cube touches three other cubes by their faces. Sitting at a corner of the larger cube, every block has exactly three face neighbors, one in each of the three directions leading inward, while the diagonal cubes meet it only at an edge or corner.
On the AFOQT, the number you select for each Block Counting figure represents:
- How tall the pile is
- How many cubes are in the whole pile
- How many blocks share a face with the numbered block
- How many faces of the numbered block are visible
Correct answer: How many blocks share a face with the numbered block
You select how many blocks share a face with the numbered block. Each item asks specifically for the count of neighbors touching the indicated cube, not the size of the pile, its height, or the number of visible faces.
A cube is the only block in the top layer and rests centered across the seam between two cubes of the layer below, touching the top face of each. The top cube touches how many other blocks?
- Four
- Three
- Two
- One
Correct answer: Two
The top cube touches two other blocks. Sitting across the seam, it rests partly on each of the two cubes beneath it, sharing a face with both, so it has two contacts.
A test taker correctly visualizes that a numbered cube has a neighbor on all six faces because it is buried in a solid pile. The correct contact count is:
- Six
- Five
- Seven
- Four
Correct answer: Six
The correct count is six. A neighbor on each of the cube's six faces gives six contacts, which is the maximum possible since a cube cannot have more than six faces.
A horizontal row of three cubes sits on the floor, and one cube is stacked on top of the leftmost cube of the row. The leftmost (bottom) cube of the row touches how many other blocks?
- Four
- Three
- Two
- One
Correct answer: Two
It touches two other blocks. The cube to its right in the row presses against one side face, and the cube stacked on its top adds a second contact, so the total is two.
A cube has a neighbor on its top, left, and right faces, and a cube directly behind it, with the bottom and front faces open. How many blocks does it touch?
- Five
- Three
- Two
- Four
Correct answer: Four
It touches four other blocks. The top, left, right, and back faces each have a neighbor, giving four contacts, while the open bottom and front faces add nothing.
A cube fully enclosed inside a packed pile cannot be seen at all from outside. Compared with a visible cube on the surface having the same neighbors arrangement, the enclosed cube's contact count is:
- Always zero because it is invisible
- Always the maximum of six
- Determined the same way, by counting the faces with neighbors
- Reduced by half
Correct answer: Determined the same way, by counting the faces with neighbors
Its contact count is determined the same way, by counting the faces with neighbors. Whether a cube is visible or hidden does not change the rule; you count every face that presses against another cube, so invisibility neither lowers nor automatically maximizes the total.
A cube at the top of a tower has nothing above it and nothing to any side, with only the cube directly beneath it in contact. How many blocks does it touch?
- Two
- One
- Three
- Zero
Correct answer: One
It touches one other block. The single contact is the cube directly below it; with open air on every other face, the total is one.
A cube buried in the center of a pile touches six blocks, while a cube on the outer corner of the same pile touches three blocks. The buried cube touches how many MORE blocks than the corner cube?
- Three
- Two
- Four
- One
Correct answer: Three
The buried cube touches three more blocks than the corner cube. Six contacts minus three contacts equals three, so the difference is three.
Block Counting feeds the Combat Systems Officer (CSO) composite of the AFOQT alongside Word Knowledge, Math Knowledge, and Table Reading. The skill it contributes to that composite is:
- Verbal reasoning
- Reading speed
- Vocabulary breadth
- Three-dimensional spatial visualization
Correct answer: Three-dimensional spatial visualization
It contributes three-dimensional spatial visualization. Block Counting measures your ability to track how cubes meet and stack in space, a spatial skill that rolls into the CSO composite together with Word Knowledge, Math Knowledge, and Table Reading.
A cube sits with a neighbor on its bottom face and on its back face only, while the top, front, left, and right faces are open. How many blocks does it touch?
- Two
- One
- Four
- Three
Correct answer: Two
It touches two other blocks. The bottom and back faces each have a neighbor, which is two contacts, while the open top, front, left, and right faces add nothing.
A flat three-by-three layer of nine cubes sits on a tabletop. Then a single cube is stacked on top of the center cube of that layer. The center cube of the bottom layer now touches how many other blocks?
- Five
- Six
- Three
- Four
Correct answer: Five
It touches five other blocks. Within the flat layer it has four face neighbors (left, right, front, and back), and the cube stacked on its top adds a fifth contact; the diagonal corner cubes do not count because they meet only at a corner.
A test taker thinks two cubes touch because their painted faces are the same shade in the drawing, even though a clear gap separates them. The mistake is to:
- Use shading instead of actual shared faces to decide contact
- Use the six-face method
- Visualize the back of the pile
- Count hidden blocks correctly
Correct answer: Use shading instead of actual shared faces to decide contact
The mistake is to use shading instead of actual shared faces to decide contact. Color or shading has nothing to do with whether cubes touch; only a flat face pressed against a flat face, with no gap, counts as a contact.
A cube at the bottom of a pile rests on the floor and has a neighbor on its left, right, front, and back faces, with nothing stacked on top. How many blocks does it touch?
- Six
- Three
- Five
- Four
Correct answer: Four
It touches four other blocks. The four side faces each have a neighbor, giving four contacts, while the open top face and the floor below the bottom face add nothing.
An efficient mental routine for a numbered cube is to picture it and ask, one direction at a time, whether a cube presses against it above, below, left, right, in front, and behind. This routine works because it:
- Checks every face exactly once, including hidden directions
- Ignores hidden neighbors to save time
- Counts the whole pile quickly
- Relies on the color of each cube
Correct answer: Checks every face exactly once, including hidden directions
It works because it checks every face exactly once, including hidden directions. Stepping through all six face directions ensures no contact is missed and none is double-counted, which is why it is fast and reliable under time pressure.
A cube has a neighbor on its left, right, and top faces, plus a cube directly behind it and a cube directly below it, with only the front face open. How many blocks does it touch?
- Five
- Six
- Four
- Three
Correct answer: Five
It touches five other blocks. The left, right, top, back, and bottom faces each have a neighbor, which is five contacts, while the single open front face adds nothing.
A staircase of cubes climbs upward to the right, two steps high. The lowest cube has one cube stacked on its top face and one cube pressed against its right face, and no other neighbors. The lowest cube touches how many other blocks?
- One
- Two
- Four
- Three
Correct answer: Two
The lowest cube touches two other blocks. Its contacts are the cube stacked on its top and the cube pressed against its right face, for two neighbors; the remaining faces meet only air.
A single cube stands completely apart from every other cube in the figure. The correct count of blocks it touches, and the reason, is:
- Six, since a cube has six faces
- Zero, since no other cube shares a face with it
- One, since every cube touches something
- Two, since cubes come in pairs
Correct answer: Zero, since no other cube shares a face with it
The correct count is zero, since no other cube shares a face with it. Having six faces does not create contacts when there are no neighbors; with empty space on every side, the isolated cube touches nothing.
A cube sits in the middle of a single-layer field of cubes that is one cube tall but many cubes wide and deep. It has a neighbor on its left, right, front, and back faces. Because nothing is stacked above and the floor is below, how many blocks does it touch?
- Six
- Four
- Three
- Five
Correct answer: Four
It touches four other blocks. The four side faces each have a neighbor in the single layer, giving four contacts, while the open top face and the floor below the bottom face add nothing.

To find us again, just search “Career Employer AFOQT”

By Career EmployerUpdated Jun 14, 2026

AFOQT Question of the DayNew daily

1 of 630+ free questions — a new one every day

A helicopter flies 195 miles in 1 hour and 30 minutes at a steady speed. What is its average speed in miles per hour?

Pick an answer to see the explanation

Click Start Test above to launch a full-length AFOQT practice test weighted like the real aptitude subtests, or drill a single subtest — Verbal Analogies, Arithmetic Reasoning, Word Knowledge, Math Knowledge, Reading Comprehension, and more. Every question includes a clear explanation so you learn the reasoning, not just the answer.

The Air Force Officer Qualifying Test (AFOQT) is a standardized aptitude test used by the U.S. Air Force to help predict an applicant’s success in officer and rated training such as pilot and combat systems officer programs.

It is administered for the U.S. Air Force at Pearson VUE test centers and is required for Air Force ROTC and Officer Training School candidates.^[2] The AFOQT measures verbal, quantitative, spatial, and aviation aptitude across 12 subtests.

These practice questions follow the published AFOQT subtest structure, mirroring the content and pacing of the real exam so you can build readiness across every aptitude area.^[1] To build readiness across every subtest, pair these with our free study guide, flashcards, and cheat sheet.

Policies and minimum scores change — always verify the current details with your Air Force ROTC detachment or recruiter before testing.

AFOQT at a Glance

AFOQT at a glance
Detail	AFOQT
Questions	516 multiple-choice across 12 subtests (Form T)
Question type	Multiple choice (computer-based)
Time limit	About 5 hours total including breaks (roughly 3.5 hours of timed aptitude subtests)
Result	Six composite percentiles (1-99); no single pass/fail score
Administered by	Pearson VUE for the U.S. Air Force
Eligibility	Air Force ROTC, OTS, and other officer-commissioning applicants
Cost	Free — no fee to the candidate (voucher required to schedule)
Retakes	Two attempts at least 90 days apart; a third requires a waiver (scores superscored)

What Is on the AFOQT Exam?

The AFOQT (Form T) covers 12 subtests totaling 516 multiple-choice questions. The scored aptitude subtests include Verbal Analogies, Arithmetic Reasoning, Word Knowledge, Math Knowledge, Reading Comprehension, Physical Science, Table Reading, Instrument Comprehension, Block Counting, and Aviation Information, plus the Situational Judgment and Self-Description Inventory sections.^[2]

Our full practice test focuses on the scored aptitude subtests and mirrors their proportions so your reps match where the test actually counts:

AFOQT weighting by scored aptitude subtest

Table Reading16% · 40 Qs

Block Counting12% · 30 Qs

Verbal Analogies10% · 25 Qs

Arithmetic Reasoning10% · 25 Qs

Word Knowledge10% · 25 Qs

Math Knowledge10% · 25 Qs

Reading Comprehension10% · 25 Qs

Instrument Comprehension10% · 25 Qs

Physical Science8% · 20 Qs

Aviation Information8% · 20 Qs

Practice Questions by Subtest

Use Start Test for a full weighted AFOQT simulation, or open the hub and pick a single subtest to drill your weak area. After each full exam, your results show a per-subtest breakdown so you know exactly where to focus — rated applicants usually need the most reps on the spatial and aviation subtests.

Who Is Eligible to Take the AFOQT?

The AFOQT is taken by candidates pursuing a U.S. Air Force commission — including Air Force ROTC cadets and Officer Training School applicants — typically as college students or graduates working toward officer accession.^[1]

You generally take the AFOQT through your Air Force ROTC detachment or Air Force recruiter, who issues the scheduling voucher and confirms you meet the program prerequisites.

Because requirements vary by path, confirm whether your program requires the AFOQT and which composite minimums apply to the career field you are pursuing. Additional eligibility details come from your detachment or recruiter and official Air Force guidance.^[4]

How Do You Register for the AFOQT?

You register for the AFOQT through your Air Force ROTC detachment, Air Force recruiter, or test control officer, who provides a scheduling voucher, and then you book a seat at a Pearson VUE test center.^[2]

There is no fee charged to you — the test is free, with the voucher covering scheduling. Confirm your appointment details and bring a valid government-issued photo ID that matches your registration.

After scheduling, you complete the exam at an authorized Pearson VUE professional testing center. Plan for an appointment of about five hours, and arrive early to allow time for check-in.

If you need to retake the AFOQT, you must wait at least 90 days between administrations, and a third attempt requires an approved waiver.^[1]

How Is the AFOQT Scored?

AFOQT subtest scores combine into six composite scores — Pilot, Combat Systems Officer, Air Battle Manager, Academic Aptitude, Verbal, and Quantitative — each reported as a percentile from 1 to 99.^[3]

There is no single pass/fail score. Instead, each composite percentile shows how you compare to a normative group, and the Air Force applies different minimums depending on the career path you are pursuing.

Scores are superscored across attempts, so your best composite on any administration becomes your score of record, and valid Form T scores do not expire.^[1] Common minimums include Verbal 15 and Quantitative 10 for officer applicants, with higher Pilot and CSO minimums for rated paths.

How Hard Is the AFOQT?

The AFOQT is demanding mainly for its breadth and tight pacing — 12 separately timed subtests in an appointment of about five hours — rather than any single hard section.^[2] The practical challenge is sustaining focus and managing the clock across very different skills.

The aviation and spatial subtests — Instrument Comprehension, Block Counting, Table Reading, and Aviation Information — are unfamiliar to most applicants because they test visual-spatial reasoning and aviation knowledge rather than recalled academics.

Arithmetic Reasoning and Math Knowledge reward fluency with algebra and mental math, Verbal Analogies and Word Knowledge reward vocabulary and verbal reasoning, and Reading Comprehension tests how quickly you can extract information under time pressure.

1-99

Composite percentile range

no pass/fail

Subtests total

516 questions

Composite scores

incl. Pilot & CSO

The takeaway: drill until you’re consistently clearing the composite minimums for your target career field on full-length, subtest-weighted practice — especially the spatial and aviation subtests if you want a rated slot — before you book your exam date.

What to Expect on Exam Day

Arrive at your Pearson VUE test center early to check in — bring a valid, unexpired government-issued photo ID whose name matches your AFOQT registration.^[2] You’ll store phones and personal items, and no outside notes are allowed during the exam.

A short tutorial precedes the exam, then you work through 12 separately timed subtests, with built-in breaks across the roughly five-hour appointment. Each subtest has its own time limit, so you cannot bank time from one section to use on another.

Your results are processed and reported to you and the Air Force after testing. Having simulated the full timing with practice tests makes the long, segmented clock feel routine.

How to Use This AFOQT Practice Test

Recreate exam conditions. Take the full test timed, with no notes.^[2]
Diagnose, then drill. Use a full AFOQT simulation to find weak subtests, then drill them.
Prioritize your target composite. Rated applicants should hammer the spatial and aviation subtests.
Learn the why. Read every explanation — understanding beats memorizing.
Answer everything. There’s no penalty for guessing, so never leave a question blank.

Why the AFOQT Matters

A strong AFOQT score is one of the clearest ways to qualify and compete for the Air Force career field you want — it gives selection boards an objective, composite-by-composite measure of your aptitude for officer and rated training.^[1] Because each path sets its own composite minimums, scoring well across the board widens the range of opportunities open to you, from pilot and combat systems officer to air battle manager. These free AFOQT practice tests are the most efficient way to get there.

Conclusion

Performing well on the AFOQT comes down to broad aptitude — math, verbal, spatial, and aviation reasoning — and the stamina to sustain it across a long, segmented exam. Use this free AFOQT practice test to find your weak subtests, drill them to mastery, and pair it with our free study guide, flashcards, and cheat sheet to walk in confident on test day.

AFOQT Practice Test FAQ

No. The AFOQT is free to take — there is no fee charged to the candidate. It is administered for the U.S. Air Force at Pearson VUE test centers, and you schedule it using a voucher provided by your Air Force ROTC detachment, recruiter, or test control officer. Because it is a military qualification test, the cost is covered by the Air Force rather than paid out of pocket.

References

1.U.S. Air Force ROTC. “Academic Standards.” afrotc.com. ↑
2.Pearson VUE. “Air Force Officer Qualifying Test (AFOQT).” Pearson VUE (for the U.S. Air Force). ↑
3.Air Force's Personnel Center. “AFOQT scores updated as AF implements new test, form.” afpc.af.mil. ↑
4.Department of the Air Force. “DAFMAN 36-2664, Personnel Assessment Program.” static.e-publishing.af.mil. ↑
5.Air Force Personnel Center. “Air Force Officer Qualifying Test (AFOQT) Rated Composite Information Pamphlet.” access.afpc.af.mil. ↑

Career Employer

Career Employer is the ultimate resource to help you get started working the job of your dreams. We cover topics from general career information, career searching, exam preparation with free study materials, career interviewing, and becoming successful in your career of choice.

All Posts

Career Employer’s Editorial Process

Here at Career Employer, we focus a lot on providing factually accurate information that is always up to date. We strive to provide correct information using strict editorial processes, article editing, and fact-checking for all of the information found on our website. We only utilize trustworthy and relevant resources. To find out more, make sure to read our full editorial process page here.