- Four forces of flight
- Lift (up), weight/gravity (down), thrust (forward), and drag (backward).
- Lift
- The upward force created by air moving over the wing; it opposes weight.
- Thrust
- The forward force produced by the engine/propeller; it opposes drag.
- Drag
- The backward force of air resistance opposing the aircraft's motion.
- Weight (in flight)
- The downward force of gravity on the aircraft; lift must equal it for level flight.
- Straight-and-level flight balance
- Lift = weight and thrust = drag — all four forces are in balance (unaccelerated flight).
- The three axes of an aircraft
- Longitudinal (roll), lateral (pitch), and vertical (yaw).
- Roll
- Rotation about the longitudinal axis (nose-to-tail), controlled by the ailerons.
- Pitch
- Rotation about the lateral axis (wingtip-to-wingtip), controlled by the elevator.
- Yaw
- Rotation about the vertical axis (up-down), controlled by the rudder.
- Ailerons
- Control surfaces on the trailing edge of the wings that control ROLL (bank).
- Elevator
- The control surface on the horizontal stabilizer (tail) that controls PITCH.
- Rudder
- The control surface on the vertical stabilizer (tail) that controls YAW.
- Flaps
- Wing devices extended to increase lift (and drag) at low speeds for takeoff and landing.
- Empennage
- The tail section of an aircraft — includes the vertical and horizontal stabilizers, rudder, and elevator.
- Fuselage
- The main body of the aircraft that holds the crew, passengers, and cargo.
- Angle of attack
- The angle between the wing's chord line and the oncoming air; too high causes a stall.
- Stall
- Loss of lift when the angle of attack is too great and airflow separates from the wing — not an engine failure.
- Empennage stabilizers
- The horizontal stabilizer keeps the nose from pitching; the vertical stabilizer keeps the nose from yawing.
- Bernoulli's principle (lift)
- Faster-moving air over the curved top of a wing has lower pressure, and the higher pressure below pushes the wing up.
- Pitot tube
- A forward-facing tube that measures ram air pressure to drive the airspeed indicator.
- Altimeter
- An instrument that shows the aircraft's altitude above sea level using air pressure.
- Airspeed indicator
- Shows how fast the aircraft is moving through the air, driven by the pitot-static system.
- Magnetic compass
- A basic instrument showing heading relative to magnetic north.
- VFR vs IFR
- VFR = Visual Flight Rules (fly by outside reference); IFR = Instrument Flight Rules (fly by instruments).
- Runway numbering
- Runways are numbered by their magnetic heading rounded to the nearest 10°, dropping the last digit (e.g., heading 270° = Runway 27).
- Class B airspace
- Surrounds the busiest airports; requires clearance and a transponder to enter.
- Tricycle landing gear
- Gear with the third wheel under the nose (nosewheel) — most common on modern aircraft.
- Yoke / control stick
- The cockpit control that moves the ailerons and elevator (roll and pitch).
- Wind sock / wind direction at airports
- Pilots take off and land into the wind whenever possible for more lift and shorter ground roll.
- Solve a linear equation
- Isolate x. For 6x + 13 = 49: subtract 13 (6x = 36), divide by 6 (x = 6).
- Order of operations (PEMDAS)
- Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).
- Slope formula
- m = (y₂ − y₁) ÷ (x₂ − x₁) — rise over run between two points.
- Slope-intercept form
- y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis).
- Quadratic formula
- x = (−b ± √(b² − 4ac)) ÷ (2a), which solves any quadratic ax² + bx + c = 0.
- Area of a rectangle
- A = length × width.
- Area of a triangle
- A = ½ × base × height.
- Area of a circle
- A = πr², where r is the radius.
- Circumference of a circle
- C = 2πr (or πd, where d is the diameter).
- Pythagorean theorem
- For a right triangle with legs a and b and hypotenuse c: a² + b² = c².
- Volume of a rectangular box
- V = length × width × height.
- Volume of a cylinder
- V = πr²h (base area × height).
- Volume of a sphere
- V = (4/3)πr³.
- Sum of a triangle's interior angles
- 180°. Two of them give the third by subtraction.
- Angles on a straight line
- Add to 180° (supplementary). Angles around a point add to 360°.
- Complementary angles
- Two angles that add to 90°.
- Exponent product rule
- xᵐ × xⁿ = xᵐ⁺ⁿ — add the exponents when multiplying like bases.
- Exponent power rule
- (xᵐ)ⁿ = xᵐⁿ — multiply the exponents.
- Negative exponent
- x⁻ⁿ = 1 ÷ xⁿ — move it to the denominator.
- Zero exponent
- Any nonzero number to the 0 power = 1.
- Difference of squares
- a² − b² = (a + b)(a − b).
- Perfect-square trinomial
- (a + b)² = a² + 2ab + b².
- FOIL method
- Multiply two binomials: First, Outer, Inner, Last terms, then combine like terms.
- Mean (average)
- Sum of the values ÷ the number of values.
- Median
- The middle value of an ordered data set; it resists outliers.
- Mode
- The value that appears most often in a data set.
- Probability
- Favorable outcomes ÷ total outcomes — always between 0 and 1.
- Convert a fraction to a percent
- Divide and multiply by 100. 3/4 = 0.75 = 75%.
- Special right triangle 45-45-90
- Side ratio 1 : 1 : √2 (legs equal; hypotenuse = leg × √2).
- Special right triangle 30-60-90
- Side ratio 1 : √3 : 2 (short leg, long leg, hypotenuse).
- Solve an inequality
- Solve like an equation, but flip the inequality sign when you multiply or divide by a negative number.
- Perimeter of a rectangle
- P = 2 × (length + width).
- Distance formula (coordinate geometry)
- d = √((x₂ − x₁)² + (y₂ − y₁)²) between two points.
- Midpoint formula
- Midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2).
- Surface area of a cube
- 6s², where s is the edge length (6 equal square faces).
- Converting a percent to a decimal
- Drop the percent sign and divide by 100. 35% = 0.35.
- Absolute value
- The distance of a number from zero, always non-negative. |−7| = 7.
- Factorial
- n! = n × (n−1) × ... × 1. So 4! = 4 × 3 × 2 × 1 = 24.
- Solving a proportion
- Cross-multiply. If a/b = c/d, then a × d = b × c.
- Simplifying square roots
- √50 = √(25 × 2) = 5√2 — factor out the perfect square.
- Vertex of a parabola
- For y = ax² + bx + c, the x-coordinate of the vertex is −b ÷ (2a).
- Supplementary vs complementary
- Supplementary angles sum to 180°; complementary angles sum to 90°.
- What is a verbal analogy?
- A comparison that asks you to find a second pair of words with the same relationship as the first pair. Format: A is to B as C is to ___.
- Part-to-whole analogy
- One word names a part of the other. PETAL : FLOWER, PAGE : BOOK, BRANCH : TREE.
- Synonym analogy
- The two words mean nearly the same thing. HAPPY : JOYFUL, BRAVE : COURAGEOUS.
- Antonym analogy
- The two words are opposites. HOT : COLD, EXPAND : CONTRACT, FRUGAL : WASTEFUL.
- Cause-and-effect analogy
- One word leads to the other. FIRE : SMOKE, RAIN : FLOOD, VIRUS : ILLNESS.
- Function/use analogy
- One word names the purpose of the other. KNIFE : CUT, PEN : WRITE, BROOM : SWEEP.
- Worker-to-tool analogy
- Pairs a person with the tool they use. CHEF : KNIFE, PAINTER : BRUSH, SURGEON : SCALPEL.
- Worker-to-product analogy
- Pairs a person with what they make. BAKER : BREAD, AUTHOR : BOOK, COMPOSER : SYMPHONY.
- Category/type analogy
- One word is a kind of the other. ROBIN : BIRD, OAK : TREE, SAPPHIRE : GEM.
- Degree-of-intensity analogy
- Same idea, different strength. WARM : HOT, COOL : COLD, LIKE : ADORE.
- How to solve a verbal analogy
- Build a sentence linking the first pair ('a petal is part of a flower'), then apply the same sentence to the second pair to pick the answer.
- Object-to-location analogy
- Pairs a thing with where it belongs. CAR : GARAGE, BOOK : LIBRARY, JUDGE : COURT.
- ABUNDANT : SCARCE relationship
- Antonyms — abundant means plentiful, scarce means in short supply.
- DOCTOR : HOSPITAL relationship
- Worker-to-workplace — the place where the worker performs their job. Also TEACHER : SCHOOL.
- CLOCK : TIME relationship
- Instrument-to-what-it-measures. THERMOMETER : TEMPERATURE, SCALE : WEIGHT.
- Why a synonym answer can be wrong
- An analogy choice can be a real synonym yet wrong if it doesn't match the SPECIFIC relationship in the first pair. Match the relationship, not just the meaning.
- SymbOL : MEANING — symbol analogy
- One thing stands for another. DOVE : PEACE, FLAG : COUNTRY, RING : MARRIAGE.
- Sequence/order analogy
- Words in a natural order. INFANT : ADULT, SEED : PLANT, FIRST : LAST.
- Action-to-object analogy
- Pairs an action with what it acts on. READ : BOOK, DRIVE : CAR, EAT : FOOD.
- Characteristic analogy
- Pairs a thing with a defining trait. SUGAR : SWEET, LEMON : SOUR, ICE : COLD.
- Animal-to-young analogy
- Pairs an adult animal with its offspring. DOG : PUPPY, COW : CALF, CAT : KITTEN.
- Measurement-unit analogy
- Pairs a quantity with its unit. LENGTH : METER, MASS : GRAM, TIME : SECOND.
- Greater-to-lesser analogy
- Pairs a whole with a smaller part of the same kind. OCEAN : DROP, FOREST : TREE, ARMY : SOLDIER.
- PEN : POET relationship
- Tool-to-worker (reversed worker-to-tool). The poet uses the pen, as the painter uses the brush.
- SHIP : FLEET relationship
- Member-to-group — one ship belongs to a fleet, as one wolf belongs to a pack.
- PUPPY : DOG relationship
- Young-to-adult — a puppy grows into a dog, as a calf grows into a cow.
- Eliminating analogy distractors
- Reject choices that share a word's topic but not its relationship — e.g., for FIRE : SMOKE pick another cause-effect pair, not just something hot.
- Average speed formula
- Speed = distance ÷ time. 195 miles in 1.5 hours = 195 ÷ 1.5 = 130 mph.
- Distance formula
- Distance = rate × time. A plane at 400 mph for 3 hours covers 400 × 3 = 1,200 miles.
- Time formula
- Time = distance ÷ rate. 600 miles at 300 mph takes 600 ÷ 300 = 2 hours.
- Percent of a number
- Multiply by the decimal. 20% of 150 = 0.20 × 150 = 30.
- Percent change
- Change ÷ original × 100. From 80 to 100: 20 ÷ 80 = 25% increase. Always divide by the ORIGINAL.
- Work/rate problem
- Combine rates. If A does a job in 4 h and B in 6 h, together: 1/4 + 1/6 = 5/12 per hour, so 12/5 = 2.4 hours.
- Simple interest
- I = principal × rate × time. 1,000 dollars at 5% for 3 years = 1000 × 0.05 × 3 = 150 dollars.
- Ratio/proportion
- Set up equal fractions and cross-multiply. If 3 parts to 5 parts and the first is 12, then 3/5 = 12/x, so x = 20.
- Unit price/best buy
- Divide cost by quantity to compare. 6 dollars for 3 lb = 2/lb; 10 dollars for 4 lb = 2.50/lb — the first is cheaper.
- Mixture problem
- Track the amount of each component, not just totals. Use (amount × strength) sums to keep concentrations straight.
- Average (mean)
- Sum of the values ÷ how many there are. The mean of 4, 8, 10 is 22 ÷ 3 ≈ 7.33.
- Fuel-consumption rate
- Miles ÷ gallons = mpg. 360 miles on 12 gallons = 30 mpg; gallons needed = miles ÷ mpg.
- Converting time to hours
- Divide minutes by 60. 90 minutes = 90 ÷ 60 = 1.5 hours; 45 min = 0.75 h.
- Markup vs discount
- Markup adds to cost; discount subtracts from price. A 25% discount means you pay 75% (multiply by 0.75).
- Two trains/closing speed
- Moving toward each other: add their speeds. Apart from each other: still add for separation rate.
- Profit
- Profit = revenue − cost. Profit margin = profit ÷ revenue × 100.
- Estimation strategy
- Round numbers to check if an answer is reasonable, then eliminate choices that are far off — fast on a timed subtest.
- Reading the question for units
- Match your answer's units to what's asked (mph, gallons, dollars, hours). A common trap is solving correctly but giving the wrong unit.
- Proportional scaling
- If a recipe for 4 needs 6 cups, for 6 people use 6 × (6/4) = 9 cups.
- Sales tax
- Multiply the price by the tax rate and add. A 50-dollar item at 8% tax: 50 × 0.08 = 4, total 54 dollars.
- Discount then total
- A 20%-off 80-dollar item costs 80 × 0.80 = 64 dollars (you pay 80% of the price).
- Average of a group changing
- To find a missing value given the mean, multiply the mean by the count to get the total, then subtract the known values.
- Rate of a leak/fill
- Combine fill and drain rates: net rate = fill rate − drain rate; time = job ÷ net rate.
- Converting units
- Multiply by a conversion factor. 5 feet × 12 = 60 inches; 3 miles × 5,280 = 15,840 feet.
- Distance between two moving objects
- Same direction: subtract speeds for the gap rate. Opposite directions: add speeds.
- Percent more/less than
- '25% more than 80' = 80 + 0.25 × 80 = 100; '25% less than 80' = 80 − 20 = 60.
- Reading a word problem
- Identify what's asked, list the given numbers with units, choose the operation, then check the answer is reasonable.
- Fraction of a total
- Multiply the fraction by the whole. 3/5 of 200 = (3 × 200) ÷ 5 = 120.
- ASTUTE
- Shrewd; perceptive; quick to understand. 'An astute investor.'
- BENEVOLENT
- Kind; generous; wishing to do good.
- CANDID
- Honest and direct; frank; outspoken.
- DILIGENT
- Hardworking; careful and persistent in effort.
- ELOQUENT
- Fluent and persuasive in speaking or writing.
- FRUGAL
- Thrifty; economical; sparing with money or resources.
- GREGARIOUS
- Sociable; fond of the company of others.
- HAUGHTY
- Arrogant; looking down on others; disdainfully proud.
- IMPARTIAL
- Fair; unbiased; not favoring one side.
- LACONIC
- Using very few words; terse; concise.
- METICULOUS
- Showing great attention to detail; very careful and precise.
- NOVICE
- A beginner; someone new to a task or skill.
- OBSOLETE
- No longer in use; out of date.
- PRUDENT
- Wise and careful; showing good judgment about the future.
- RESILIENT
- Able to recover quickly from difficulty; tough; springy.
- SCRUTINIZE
- To examine closely and critically.
- TENACIOUS
- Holding firmly; persistent; not giving up.
- VERBOSE
- Wordy; using more words than needed.
- ZEALOUS
- Full of energetic enthusiasm; fervent.
- AMBIGUOUS
- Open to more than one interpretation; unclear; vague.
- AUGMENT
- To make larger; to increase or add to.
- BREVITY
- Shortness; conciseness in speech or writing.
- CURTAIL
- To cut short; to reduce or limit.
- DETER
- To discourage or prevent someone from acting.
- How to solve a Word Knowledge item
- Word Knowledge asks for the word 'most nearly' the same in meaning. If you don't know the word, use roots, prefixes, and how it's used in similar words to estimate.
- Prefix 'BENE-'
- Means good or well. BENEvolent (good will), BENEficial (helpful), BENEfactor (does good).
- Prefix 'MAL-'
- Means bad or wrong. MALevolent (ill will), MALfunction, MALadroit (clumsy).
- Root 'AUD'
- Means hear. AUDible, AUDience, AUDitory.
- Prefix 'CIRCUM-'
- Means around. CIRCUMnavigate, CIRCUMference, CIRCUMspect (looking around = cautious).
- CONCISE
- Brief but comprehensive; saying much in few words.
- ADVOCATE
- To support or argue for a cause; (noun) a person who does so.
- COMPLY
- To act in accordance with a rule, request, or command; to obey.
- DEFICIT
- A shortage; the amount by which something falls short, especially money.
- ENHANCE
- To improve the quality, value, or extent of something.
- FEASIBLE
- Possible to do easily or conveniently; practical.
- HINDER
- To get in the way of; to hamper or obstruct progress.
- INNOVATE
- To introduce something new; to make changes by introducing new methods.
- LENIENT
- Merciful or tolerant; not harsh in discipline or punishment.
- MUNDANE
- Ordinary; dull; lacking interest or excitement.
- PLAUSIBLE
- Seeming reasonable or probable; believable.
- Root 'SPECT'
- Means look. inSPECT, SPECTator, perSPECTive, SPECTacle.
- Prefix 'TRANS-'
- Means across or through. TRANSport, TRANSfer, TRANSparent.
- Prefix 'SUB-'
- Means under or below. SUBmarine, SUBstandard, SUBterranean.
- Suffix '-PHOBIA'
- Means fear of. claustroPHOBIA (fear of enclosed spaces), acroPHOBIA (heights).
- CONCUR
- To agree; to be of the same opinion.
- What does Reading Comprehension test?
- Your ability to read a short passage and answer questions using only the information stated or implied in it — never outside knowledge.
- Main idea question
- Asks for the central point of the passage — the claim the whole text supports, broader than any single detail.
- Supporting detail question
- Asks for a specific fact the passage states. Locate it directly in the text.
- Inference question
- Asks for a conclusion the passage implies but doesn't state. Pick the best-supported choice, not the most extreme one.
- Author's tone/attitude
- Asks how the author feels about the topic (e.g., critical, admiring, neutral). Look at word choice for clues.
- Author's purpose
- Asks WHY the passage was written — to inform, persuade, describe, or entertain.
- Vocabulary-in-context
- Asks the meaning of a word AS USED in the passage; the surrounding sentences define it, not the dictionary alone.
- Strategy: read the question first
- Some test-takers skim the questions before the passage so they know what to look for, saving time on a timed subtest.
- Eliminating wrong answers
- Cross out choices that are too broad, too narrow, not mentioned, or that contradict the passage.
- 'According to the passage' answers
- Must be directly stated. Don't choose a true-in-real-life option that the passage never says.
- Distinguishing fact from opinion
- A fact can be verified; an opinion expresses a belief or judgment (often signaled by 'should,' 'best,' 'I think').
- Restating the main idea
- The correct main-idea choice captures the whole passage, not just one paragraph or example.
- Watch for extreme words
- Choices with 'always,' 'never,' 'all,' or 'none' are often wrong unless the passage clearly supports them.
- Sequence/structure questions
- Ask how the passage is organized — e.g., problem-then-solution, cause-and-effect, or chronological order.
- Pace on Reading Comprehension
- With limited time per question, don't reread the whole passage for each item; locate the relevant sentence and answer.
- 'Best title' question
- Choose the title that fits the WHOLE passage — not just an interesting detail or a single paragraph.
- Signal words for contrast
- However, but, although, on the other hand — they flag a shift in the author's point; the answer often hinges on them.
- Signal words for conclusion
- Therefore, thus, in conclusion, as a result — they introduce the point the passage is building toward.
- Paraphrasing the answer
- The correct choice often restates a passage idea in different words; don't reject it just because the wording differs.
- Implied vs stated
- A stated detail is written directly; an implied idea must be reasoned from clues. Inference questions want the implied one.
- Identifying the topic sentence
- Usually the first or last sentence of a paragraph; it summarizes that paragraph's main point.
- Negative/EXCEPT questions
- When asked which is NOT supported, eliminate the three that ARE in the passage; the leftover is the answer.
- Context clues for hard words
- Use the rest of the sentence — examples, contrasts, or definitions nearby — to infer an unfamiliar word's meaning.
- Newton's first law (inertia)
- An object at rest stays at rest, and an object in motion stays in motion, unless acted on by an unbalanced force.
- Newton's second law
- Force = mass × acceleration (F = ma). More force gives more acceleration; more mass gives less.
- Newton's third law
- For every action there is an equal and opposite reaction.
- Speed vs velocity
- Speed is how fast (magnitude only); velocity is speed WITH a direction.
- Acceleration
- The rate of change of velocity. Gravity accelerates falling objects at about 9.8 m/s².
- Mass vs weight
- Mass is the amount of matter (constant); weight is the force of gravity on that mass (changes with location).
- Kinetic vs potential energy
- Kinetic = energy of motion; potential = stored energy (e.g., a raised object's gravitational PE).
- Conservation of energy
- Energy is neither created nor destroyed, only transformed from one form to another.
- Work
- Work = force × distance (in the direction of the force). No movement = no work done.
- Power
- The rate of doing work: power = work ÷ time. Measured in watts.
- States of matter
- Solid (fixed shape and volume), liquid (fixed volume, takes container shape), gas (fills its container).
- Atom structure
- A nucleus of protons (+) and neutrons (neutral), surrounded by electrons (−).
- Atomic number
- The number of protons in an atom — it defines the element.
- Periodic table organization
- Elements arranged by increasing atomic number; columns (groups) share similar properties.
- Chemical vs physical change
- Physical change alters form only (ice melting); chemical change makes a new substance (rusting, burning).
- Density
- Density = mass ÷ volume. Objects less dense than water float; denser ones sink.
- Ohm's law
- Voltage = current × resistance (V = IR).
- Conductor vs insulator
- A conductor lets electricity flow easily (metals); an insulator resists it (rubber, glass).
- Wavelength and frequency
- They are inversely related: higher frequency means shorter wavelength (for the same wave speed).
- Speed of light
- About 3 × 10⁸ meters per second in a vacuum — the fastest anything travels.
- The water cycle
- Evaporation → condensation → precipitation → collection, repeating continuously.
- Earth's layers
- Crust (thin outer), mantle (thick middle), outer core (liquid), inner core (solid).
- Photosynthesis
- Plants use sunlight, water, and carbon dioxide to make glucose and release oxygen.
- Phases of the Moon
- Caused by the changing angle of sunlight on the Moon as it orbits Earth — new, crescent, quarter, gibbous, full.
- Heat transfer methods
- Conduction (contact), convection (fluid movement), and radiation (waves, e.g., from the Sun).
- Solid → gas (sublimation)
- Sublimation is a solid changing directly into a gas without becoming liquid (e.g., dry ice).
- Gravity
- A force of attraction between masses; on Earth it pulls objects toward the center at about 9.8 m/s².
- pH scale
- Measures acidity 0–14: below 7 is acidic, 7 is neutral, above 7 is basic (alkaline).
- Simple machines
- Lever, wheel and axle, pulley, inclined plane, wedge, and screw — they trade force for distance.
- Mechanical advantage
- How much a machine multiplies force: output force ÷ input force. A longer lever arm gives more advantage.
- Momentum
- Momentum = mass × velocity. A heavier or faster object has more momentum and is harder to stop.
- Friction
- A force that resists motion between surfaces in contact; it converts kinetic energy into heat.
- Series vs parallel circuits
- In series, current has one path (one break stops all); in parallel, multiple paths (one break, others still work).
- Static electricity
- A buildup of electric charge on a surface; like charges repel, opposite charges attract.
- Magnetism poles
- Every magnet has a north and south pole; opposite poles attract, like poles repel.
- Three subatomic particles
- Protons (positive), neutrons (neutral), and electrons (negative).
- Element vs compound
- An element is one type of atom; a compound is two or more elements chemically bonded (e.g., water, H₂O).
- Boiling vs freezing point of water
- Water boils at 100°C (212°F) and freezes at 0°C (32°F) at sea level.
- Reflection vs refraction
- Reflection bounces light off a surface; refraction bends light as it passes between materials.
- Convex vs concave lens
- A convex lens converges light (magnifies); a concave lens diverges light.
- What does Instrument Comprehension test?
- Reading an artificial horizon (attitude indicator) and a compass to determine an aircraft's direction of flight and bank/pitch.
- Attitude indicator (artificial horizon)
- Shows the aircraft's pitch (nose up/down) and bank (wings left/right) relative to the horizon line.
- Horizon line on the attitude indicator
- The line where brown (ground) meets blue (sky); the miniature wings show the aircraft's position relative to it.
- Reading bank (roll)
- If the horizon tilts so the right wing is low, the aircraft is banked to the right; left wing low = banked left.
- Reading pitch (climb/dive)
- More blue (sky) below the wings = nose up (climbing); more brown (ground) = nose down (diving).
- The compass dial
- Shows heading: N (0°/360°), E (90°), S (180°), W (270°). The aircraft is flying toward the indicated heading.
- Wings level, flying north
- Horizon line is flat and level, compass points to N — straight-and-level flight heading 000°.
- Steep vs shallow bank
- The more the horizon line tilts away from level, the steeper the bank angle.
- Climbing turn
- Nose-up pitch (more sky) AND a tilted horizon (banked) together — climbing while turning.
- Instrument Comprehension strategy
- Read the compass for direction first, then the attitude indicator for bank and pitch, then match the airplane silhouette.
- Diving turn
- Nose-down pitch (more ground showing) combined with a banked horizon line.
- Heading of 090°
- Due east — the compass needle points to E.
- Why pilots use the attitude indicator
- It shows aircraft attitude when the real horizon isn't visible (clouds, night), preventing spatial disorientation.
- Heading of 180°
- Due south — the compass shows S.
- Heading of 270°
- Due west — the compass shows W.
- Right bank, climbing
- Right wing low (horizon tilts down to the right) plus more sky below the wings = climbing right turn.
- Level flight, heading west
- Horizon line flat and level with the compass on W = straight-and-level flight heading 270°.
- Matching the silhouette
- After reading bank and pitch, pick the airplane drawing whose attitude matches the instrument exactly.
- What does Block Counting test?
- Spatial reasoning: counting how many blocks a given block touches in a 3-D stack, including hidden blocks.
- Block Counting: 'touching' rule
- Two blocks count as touching only when they share a full FACE (surface contact) — not just an edge or a corner.
- A block can touch up to how many?
- Up to 6 others — one on each face: top, bottom, front, back, left, right.
- Block Counting: hidden blocks
- You must account for blocks you can't directly see but that logically must be there to support the visible stack.
- Block Counting strategy
- Check each of the target block's six faces in order and ask 'is there a block flush against this face?'
- Corner block
- A block at the corner of a pile touches fewer neighbors — often only 2 or 3 — because several faces are exposed.
- Interior block
- A block buried inside a solid stack touches the most neighbors (up to 6) since few or no faces are exposed.
- Block Counting: edges and corners don't count
- Diagonal contact (edge-to-edge or corner-to-corner) is NOT touching for this subtest — only flat face-to-face.
- Visualizing the stack in layers
- Mentally separate the pile into horizontal layers to track which block sits above or below the target.
- Why Block Counting is on the AFOQT
- It measures 3-D spatial visualization, a skill linked to interpreting cockpit instruments and aircraft orientation.
- Top-layer block
- A block sitting on top of a pile has nothing on its top face, so it touches at most 5 others.
- Counting supports below
- If a block floats in the picture, blocks must exist beneath it for support — count those bottom-face contacts.
- Block Counting: work face by face
- For the marked block, tally contacts on top, bottom, and all four sides separately, then sum them.
- Block Counting: lone/isolated block
- A single block resting alone on the ground touches only the block(s) directly beside or beneath it.
- What does Table Reading test?
- Speed and accuracy reading a grid: you find a value at given X (column) and Y (row) coordinates as fast as possible.
- Table Reading: how the grid works
- X values run across the top (columns), Y values run down the side (rows). Find where the chosen column and row meet.
- Table Reading strategy
- Use a finger or the cursor to track the X column and Y row, then read the cell at their intersection — don't lose your place.
- Table Reading: pace
- It's heavily timed (many items, little time each). Accuracy on the coordinate matters more than rechecking; move steadily.
- Reading negative coordinates
- Columns/rows can be labeled with negatives (−3, −2, −1, 0, 1, 2, 3). Watch the sign when locating the X or Y value.
- Table Reading: common error
- Transposing X and Y, or sliding one row/column off. Confirm the column first, then the row, before reading the value.
- Why Table Reading is on the AFOQT
- It gauges how well you process gridded data quickly and accurately — useful for reading charts and instruments in flight.
- Table Reading: many items, little time
- Form T's Table Reading has many questions with only seconds each — train for speed with accuracy, not perfection on a few.
- Table Reading: keep your place
- Lay one finger on the X column heading and another on the Y row label, then slide them to the intersection.
- Table Reading: don't double-check everything
- Re-reading each cell costs you later questions; trust a careful first read and keep moving.
- Table Reading: guessing
- If you're running out of time, make your best coordinate read and move on; speed across many items beats perfect on a few.
- Finding the center value
- The cell at X = 0, Y = 0 is the grid's center; counting outward from it can speed up locating a coordinate.
- Table Reading: eliminate by sign
- If the answer choices differ in sign or size, a quick read of the cell's neighborhood can rule several out instantly.