Click Study Flashcards above to open the flashcard hub — 200+ CAST test cards you can flip, match, type, or quiz yourself on. Every card is drawn from the four sections the EEI Construction and Skilled Trades test measures, so you study exactly what shows up.[1]
Pair them with our free practice test and study guide. Want extra insurance for exam day? Capital Prep’s CAST premium study materials come with a CAST exam pass guarantee: your money back if you don’t pass — and Career Employer students get a special discount.
CAST Flashcard Study Modes
Flip mode is for first passes and review, Match turns terms and definitions into a timed matching game, Type hides the term so you write it from the definition, and Quiz builds multiple-choice items from the same cards. Type is where prompts like Torque, defined? stop feeling familiar and start proving you actually know the wording.

Why Flashcards Work for the CAST Test
Mechanical Concepts is the largest domain at 97 cards, and it carries the vocabulary and relationships the mechanical section leans on. You get core definition cards such as Power, defined? and Fulcrum, defined?, along with applied relationships like the card that asks Gear ratio formula? and the one on the Law of the lever? Work through these in blocks rather than all at once.
Mathematical Usage adds 51 cards covering the arithmetic, percent, and algebra moves you have to make quickly. Expect percent work in prompts like What is 20% of 150?, straightforward equation solving in Solve 3x − 5 = 16., and order-of-operations checks such as Evaluate 4 + 6 × 2. Definition cards like Proportion, defined? tie the setup language to the math.
Graphic Arithmetic holds 35 cards built around drawings, scale, and the formulas you apply to them. Area of a rectangle? and Circumference of a circle? handle the geometry, while cards such as Real value from a drawing measurement? and A drawing labeled NTS means? train the print-reading habits that keep your numbers honest.
Reading for Comprehension has 29 cards, and most of them are strategy rather than trivia. You get question-type attack plans in cards like Main-idea question — how to attack it? and Inference question — how to attack it?, plus warnings such as Most common wrong-answer trap in reading? that name the errors before you make them.
CAST Test Basics rounds out the deck with 28 cards on format and logistics. Prompts like What does CAST stand for?, Who takes the CAST?, and How is the CAST scored? keep the structure clear so nothing about timing or sections surprises you.
That matters for the CAST, which rewards instant recall of mechanical rules, scale conversions, and formulas on separately-timed sections.[1] Used alongside our practice test and study guide, flashcards turn review time into measurable progress.
CAST Flashcards by Section
The cards are organized by the four CAST sections (plus a CAST basics set). Mechanical Concepts is the largest section, so weight your study there — but the graphic-arithmetic, math, and reading cards are worth locking in too:[1]
| Section | What the cards cover | Why it matters |
|---|---|---|
| Mechanical Concepts | Pulleys, levers, gears, hydraulics, forces, simple machines | Largest section (44 Q) — most rules to learn |
| Graphic Arithmetic | Reading scaled drawings, then computing lengths, areas, ratios | Math you read off a print |
| Mathematical Usage | Formulas, unit conversions, percentages, ratios, equations | Fast, tightly timed section |
| Reading for Comprehension | Detail, main idea, inference, answering from the passage | Answer from the text only |
| CAST Test Basics | Sections, scoring, CAST vs. CAST-R, calculator & retake rules | Know how the test is built and scored |
How to Get the Most Out of These CAST Flashcards
- Start with the biggest block. Mechanical Concepts is 97 cards, the largest domain here, so give it your first sessions and split it into smaller runs you can finish.
- Type-drill the definitions. Cards such as Pressure, defined? and Gear ratio formula? reward exact recall, and typing them exposes the ones you only half remember from flipping.
- Use Match for formula cards. Pairing Graphic Arithmetic prompts like Perimeter of a rectangle? against their definitions under a clock builds the speed that section demands.
- Switch when accuracy holds. Once Quiz runs stop surprising you across Mathematical Usage and Mechanical Concepts, move to the practice test for full-length timing and pacing.
- Keep a steady rotation. With 240 cards, work one domain per session and re-flip missed cards the next day rather than restarting the whole deck each time.
CAST Flashcards FAQ
Hundreds of free CAST flashcards, organized across the four sections — mechanical concepts, graphic arithmetic, mathematical usage, and reading for comprehension — plus a set of CAST test basics. They're free to use with no account required.
Yes. Flashcards use active recall — retrieving an answer from memory — which research shows is one of the most effective ways to make information stick, especially for the mechanical rules, formulas, and conversions the CAST tests under a tight, separately-timed clock.
All four cognitive sections: mechanical concepts (pulleys, levers, gears, fluids, forces), graphic arithmetic (reading scaled drawings then calculating), mathematical usage (formulas, conversions, percentages, ratios), and reading for comprehension — plus key facts about how the CAST and CAST-R are structured and scored.
Mix the modes: flip to learn, type to test recall, match for speed, and quiz to check yourself. Drill the recurring rules — pulley and gear mechanical advantage, the lever law, scale conversions, and fraction-to-percent values — until they're instant, since the CAST sections are tightly timed.
Yes — 100% free, all four study modes, no paywall.
CAST flashcard bank
All 240 cards, by topic
A reference copy of every card in this deck. Each answer stays hidden until you choose to show it. To study with Flip, Match, Type and Quiz modes and track what you have mastered, use Study Flashcards at the top of the page.
Mechanical Concepts (97)
- Fixed pulley: mechanical advantage?
Show answerHide answer
1 — a single fixed pulley only changes the direction of the force; it does not reduce the effort needed.
- Movable pulley: mechanical advantage?
Show answerHide answer
2 — a movable pulley supports the load on two rope segments, so it halves the effort (but you pull twice the rope).
- How do you find a pulley system's mechanical advantage?
Show answerHide answer
Count the rope segments that actually support the load. That number is the mechanical advantage.
- Effort needed to lift a load with a pulley system?
Show answerHide answer
Effort = load ÷ number of supporting rope segments.
- Block and tackle: what is it?
Show answerHide answer
A system of fixed and movable pulleys. Its mechanical advantage equals the number of rope segments supporting the load.
- Block and tackle with 4 supporting segments lifting 200 lb — effort?
Show answerHide answer
200 ÷ 4 = 50 lb of effort (you pull 4 ft of rope per 1 ft the load rises).
- The golden rule of every simple machine?
Show answerHide answer
A machine never gives free work — any force you save is paid back in extra distance.
- Mechanical advantage, defined?
Show answerHide answer
Output force ÷ input force — the factor by which a machine multiplies your effort.
- Law of the lever?
Show answerHide answer
Effort × effort-arm = load × load-arm. A longer effort arm multiplies your force.
- Class 1 lever: where is the fulcrum?
Show answerHide answer
In the middle, between effort and load. Examples: crowbar, seesaw, pliers.
- Class 2 lever: what's in the middle?
Show answerHide answer
The load is in the middle. It always multiplies force (MA > 1). Examples: wheelbarrow, nutcracker.
- Class 3 lever: what's in the middle?
Show answerHide answer
The effort is in the middle. It trades force for speed/range (MA < 1). Examples: tweezers, the human forearm.
- Fulcrum, defined?
Show answerHide answer
The fixed pivot point a lever turns on.
- Which lever class always multiplies force?
Show answerHide answer
Class 2 (load in the middle) — its effort arm is always longer than its load arm.
- Pry bar: 200 lb load 1 ft from fulcrum, effort applied 4 ft from fulcrum — effort?
Show answerHide answer
effort × 4 = 200 × 1, so effort = 50 lb (mechanical advantage of 4).
- Two externally meshed gears turn which way relative to each other?
Show answerHide answer
Opposite directions — if one turns clockwise, the other turns counterclockwise.
- Gear ratio formula?
Show answerHide answer
Driven gear teeth ÷ driver gear teeth.
- 20-tooth driver meshes a 60-tooth driven gear — gear ratio?
Show answerHide answer
60 ÷ 20 = 3 : 1. The driven gear turns 1/3 as fast with 3× the torque.
- A larger gear turns how, compared to a smaller one?
Show answerHide answer
Slower, but with more torque. A smaller gear turns faster with less torque.
- What does an idler gear do?
Show answerHide answer
It reverses the direction of rotation but does NOT change the overall gear ratio.
- Torque, defined?
Show answerHide answer
A turning or twisting force, equal to the applied force times the distance from the pivot (the lever arm).
- Two ways to increase torque?
Show answerHide answer
Push harder (more force) or apply the force farther from the pivot (longer lever arm).
- Why does a longer wrench loosen a tight bolt more easily?
Show answerHide answer
It increases the lever arm, so the same push produces more torque.
- Pascal's principle?
Show answerHide answer
Pressure applied to a confined fluid is transmitted equally throughout it.
- Hydraulic force formula?
Show answerHide answer
Force = pressure × area. A larger piston area produces a larger force at the same pressure.
- 50 lb on a 2 sq in piston — what is the pressure?
Show answerHide answer
P = F ÷ A = 50 ÷ 2 = 25 psi.
- 25 psi acting on a 20 sq in output piston — what force?
Show answerHide answer
F = P × A = 25 × 20 = 500 lb.
- Hydraulic mechanical advantage formula?
Show answerHide answer
Output piston area ÷ input piston area (A₂ ÷ A₁).
- Inclined plane: what does it do?
Show answerHide answer
Reduces the force needed to raise a load by spreading the work over a longer distance.
- Inclined plane mechanical advantage formula?
Show answerHide answer
Slope length ÷ vertical height.
- 5 ft ramp rising 1 ft, 100 lb load — effort to push it up?
Show answerHide answer
MA = 5 ÷ 1 = 5, so effort = 100 ÷ 5 = 20 lb (pushed the full 5 ft).
- A wedge is a type of which simple machine?
Show answerHide answer
A moving inclined plane — it converts a forward force into a splitting/sideways force.
- A screw is a type of which simple machine?
Show answerHide answer
An inclined plane wrapped around a cylinder.
- Screw pitch, defined?
Show answerHide answer
The distance a screw advances along its axis in one complete turn.
- Screw with 0.1 in pitch turned 50 times advances how far?
Show answerHide answer
0.1 × 50 = 5 inches.
- Wheel and axle mechanical advantage?
Show answerHide answer
Wheel radius ÷ axle radius. A big wheel turning a small axle multiplies force.
- Two pulleys joined by a belt — how do their speeds compare?
Show answerHide answer
The smaller pulley turns faster; speed is inversely proportional to diameter.
- 2 in pulley driving a 4 in pulley at 200 RPM — driven speed?
Show answerHide answer
200 × (2 ÷ 4) = 100 RPM (the larger pulley turns slower).
- Which way does a belt make two pulleys turn (open belt)?
Show answerHide answer
The same direction (unlike meshed gears, which turn opposite).
- Thrust bearing: what load does it support?
Show answerHide answer
Axial loads — forces acting along the shaft's axis.
- Where do you hook a cable to lift a uniform beam so it stays horizontal?
Show answerHide answer
At its center of gravity (the midpoint of a uniform beam).
- Center of gravity, defined?
Show answerHide answer
The point where an object's weight is balanced — it behaves as if all the weight acts there.
- Which wagon needs less force to pull up a ramp — heavier or lighter?
Show answerHide answer
The lighter one. Required force increases with the load's weight.
- Springs: a stiffer spring requires what to compress the same distance?
Show answerHide answer
More force. Force = spring constant × compression (Hooke's law).
- Friction acts in which direction?
Show answerHide answer
Opposite to the direction of motion (or attempted motion).
- Pressure, defined?
Show answerHide answer
Force per unit area: P = F ÷ A. Same force over a smaller area gives higher pressure.
- Gauge pressure vs. absolute pressure?
Show answerHide answer
Absolute = gauge + atmospheric. A gauge reads pressure above atmospheric.
- Gauge reads 300 kPa, atmosphere is 100 kPa — absolute pressure?
Show answerHide answer
300 + 100 = 400 kPa.
- Why does water exert more pressure at the bottom of a tank?
Show answerHide answer
Fluid pressure increases with depth (weight of the fluid above).
- Equilibrium: when is an object balanced?
Show answerHide answer
When all forces and all torques on it sum to zero — no net force, no net rotation.
- Two kids on a seesaw balance how?
Show answerHide answer
When weight × distance is equal on both sides of the fulcrum.
- Heavier child sits where to balance a lighter one on a seesaw?
Show answerHide answer
Closer to the fulcrum (shorter arm), so weight × distance matches the lighter, farther child.
- Compound machine, defined?
Show answerHide answer
Two or more simple machines working together; their mechanical advantages multiply.
- A gear with more teeth produces what, relative to a smaller meshed gear?
Show answerHide answer
More torque but lower speed.
- Cam and follower: what does the cam convert?
Show answerHide answer
Rotary motion into reciprocating (back-and-forth) linear motion.
- Cam lift, defined?
Show answerHide answer
How far the follower moves between the cam's base circle and its highest point.
- Velocity ratio of a machine?
Show answerHide answer
Distance moved by the effort ÷ distance moved by the load.
- Why isn't real mechanical advantage equal to the ideal value?
Show answerHide answer
Friction wastes some input, so actual mechanical advantage is a bit lower than ideal.
- Efficiency of a machine?
Show answerHide answer
Useful work output ÷ work input, always less than 100% because of friction.
- Linkage, defined?
Show answerHide answer
A set of connected rigid bars that transmit or transform motion and force.
- Hydraulic jack: why can a small pump force lift a car?
Show answerHide answer
A small input piston and a large output piston share one pressure; the large area gives a large force.
- Doubling a lever's effort arm does what to the force you can apply?
Show answerHide answer
Doubles the force (torque), for the same effort.
- What pictured cue tells you a CAST pulley question's answer?
Show answerHide answer
How many rope segments support the load — count them, that's the mechanical advantage.
- Conveyor with a smaller driver pulley — load belt moves how?
Show answerHide answer
Slower than the driver's surface speed only if diameters differ; same belt speed, but the larger pulley turns slower.
- Pinion and rack: 10-tooth pinion, one full turn moves the rack how?
Show answerHide answer
By the circumference covered by all 10 teeth — the pitch length times 10.
- Newton's first law in plain terms?
Show answerHide answer
An object at rest stays at rest, and one in motion keeps moving, unless a net force acts on it.
- More mechanical advantage always costs you what?
Show answerHide answer
Distance (or speed) — you move the effort farther than the load moves.
- Work done by a force?
Show answerHide answer
Work = force × distance moved in the direction of the force.
- Power, defined?
Show answerHide answer
The rate of doing work: power = work ÷ time.
- First-class lever that only changes direction (MA = 1) has what arm setup?
Show answerHide answer
Effort arm equals load arm (fulcrum centered) — it redirects force without multiplying it.
- How does adding a second movable pulley change mechanical advantage?
Show answerHide answer
It adds more supporting rope segments, increasing the mechanical advantage.
- Why does a smaller-radius axle on a wheel-and-axle multiply force more?
Show answerHide answer
Larger wheel-to-axle radius ratio means greater mechanical advantage (wheel radius ÷ axle radius).
- Three meshed gears (driver, idler, driven) — driven turns which way vs driver?
Show answerHide answer
The same way as the driver; each mesh flips direction, and two flips return to the original.
- Liquids are nearly incompressible — why does that matter for hydraulics?
Show answerHide answer
Pressure applied at one point transmits almost instantly and fully throughout the fluid.
- Bigger output piston, same pressure — what happens to force and travel?
Show answerHide answer
Force goes up; the output piston moves a shorter distance (force traded for distance).
- What balances a torque?
Show answerHide answer
An equal and opposite torque (force × distance) on the other side of the pivot.
- Ball bearings reduce what?
Show answerHide answer
Friction between moving parts, by replacing sliding contact with rolling contact.
- Static vs kinetic friction — which is usually larger?
Show answerHide answer
Static friction (to start motion) is usually larger than kinetic friction (to keep it moving).
- Why use a longer ramp to load heavy equipment?
Show answerHide answer
A longer, shallower ramp gives more mechanical advantage, so less force is needed (you push it farther).
- Counterweight: what does it do on a crane or lift?
Show answerHide answer
Balances the load's torque about the pivot so less effort lifts and the machine stays stable.
- Gear with 10 teeth drives one with 40 teeth — output speed vs input?
Show answerHide answer
One-quarter the input speed (ratio 40 ÷ 10 = 4:1), with 4× the torque.
- Pressure in a closed hydraulic system is the same everywhere — whose principle?
Show answerHide answer
Pascal's principle.
- If two gears must turn the SAME direction, what do you add?
Show answerHide answer
An idler gear between them (it flips direction once).
- Mechanical advantage of a single movable pulley plus a fixed pulley (2 segments)?
Show answerHide answer
2 — the fixed pulley only redirects; the movable pulley provides the advantage.
- Why does a nutcracker (class 2 lever) crack a nut easily?
Show answerHide answer
Load in the middle gives a long effort arm, multiplying your squeezing force.
- Cam base circle vs lift — what's the follower's max travel?
Show answerHide answer
The lift (the radial distance from base circle to the cam's highest point).
- On an inclined plane, a steeper ramp requires what?
Show answerHide answer
More force (less mechanical advantage) but a shorter push distance.
- Pressure unit psi means?
Show answerHide answer
Pounds per square inch — force (pounds) divided by area (square inches).
- Hydraulic brakes multiply pedal force using what?
Show answerHide answer
A larger area at the wheel cylinders than at the master cylinder (force = pressure × area).
- Equal weights at equal distances on a balance — result?
Show answerHide answer
Balanced (equal torques), so no rotation.
- Larger pulley on a belt drive turns at what speed vs the smaller one?
Show answerHide answer
Slower — speed is inversely proportional to pulley diameter.
- Why does sand on ice help a tire grip?
Show answerHide answer
It increases friction between the tire and the surface.
- A 3:1 block and tackle lifting a 90 lb load — effort?
Show answerHide answer
90 ÷ 3 = 30 lb (you pull 3 ft of rope per 1 ft of lift).
- Heavier flywheel does what to a rotating machine?
Show answerHide answer
Stores more rotational energy and smooths out speed changes (more inertia).
- Why hook a lift cable directly above an object's center of gravity?
Show answerHide answer
So the load hangs level and doesn't tip or swing.
- Two springs in series vs parallel — which is stiffer?
Show answerHide answer
Parallel springs are stiffer (forces add); series springs are softer (they stretch more).
- What is the effort distance vs load distance on a 4:1 machine?
Show answerHide answer
Effort moves 4× as far as the load moves.
Graphic Arithmetic (35)
- Scale, defined (graphic arithmetic)?
Show answerHide answer
The ratio of a length on a drawing to the real length it represents (e.g. 1 in = 10 ft).
- Real value from a drawing measurement?
Show answerHide answer
Real value = drawing measurement × scale factor.
- Scale 1 in = 30 ft; a wall is 4 in on the print — real length?
Show answerHide answer
4 × 30 = 120 feet.
- Finding a real area from a scaled drawing — what's the rule?
Show answerHide answer
Convert each dimension to real units FIRST, then multiply length × width.
- Room drawn 4 in by 6 in at 1 in = 30 ft — real area?
Show answerHide answer
120 ft × 180 ft = 21,600 sq ft.
- Pool drawn 3 in by 2 in at 1 in = 10 ft — real floor area?
Show answerHide answer
30 ft × 20 ft = 600 sq ft.
- Why can't you trust line lengths by eye on a CAST drawing?
Show answerHide answer
CAST drawings are often 'not drawn exactly to scale' — use the printed dimensions and stated scale.
- How many drawings does the Graphic Arithmetic section usually contain?
Show answerHide answer
Two drawings, each followed by several questions.
- Is a calculator allowed on Graphic Arithmetic?
Show answerHide answer
Yes — the official CAST-R brochure permits a calculator on this section. Confirm with your utility.
- Best way to avoid a scale conversion error?
Show answerHide answer
Write the scale as a fraction with units (10 ft / 1 in) so the inches cancel when you multiply.
- Perimeter of a rectangle?
Show answerHide answer
2 × (length + width).
- Area of a rectangle?
Show answerHide answer
Length × width.
- Total distance along a path on a print?
Show answerHide answer
Add the real lengths of each segment (convert each from the scale first).
- Scale model 8 in long represents 240 ft. The scale is?
Show answerHide answer
240 ÷ 8 = 30 ft per inch (1 in = 30 ft).
- Map: 2 in × 3 in lot at 1 in = ? if 2 in = 100 ft, the scale?
Show answerHide answer
100 ÷ 2 = 50 ft per inch (1 in = 50 ft).
- Hallway 9 in long at 1 in = 5 ft — real length?
Show answerHide answer
9 × 5 = 45 feet.
- Driveway 6.4 in long at 1 in = 25 ft — real length?
Show answerHide answer
6.4 × 25 = 160 feet.
- If a real length is reduced by a linear scale factor of 5, area shrinks by?
Show answerHide answer
25 (area scales by the square of the linear factor: 5² = 25).
- Most common graphic-arithmetic mistake?
Show answerHide answer
Misreading the scale, or measuring by eye on a not-to-scale drawing instead of using the printed dimension.
- How do you read a dimension line on a drawing?
Show answerHide answer
Use the number printed between the extension lines, not the visual length of the line.
- Equilateral triangle side 2 in at 1 in = 25 ft — perimeter?
Show answerHide answer
Each side 2 × 25 = 50 ft; perimeter = 3 × 50 = 150 ft.
- Why answer the EXACT quantity asked on graphic arithmetic?
Show answerHide answer
Wrong answers often give a related value (perimeter when asked for area) — read whether it wants length, area, or count.
- Reading a scale of 1/4 in = 1 ft — how many feet is a 3-inch line?
Show answerHide answer
3 in ÷ (1/4 in per ft) = 12 feet.
- Two dimensions on a print: 5 ft and 8 ft — area of the rectangle?
Show answerHide answer
5 × 8 = 40 square feet.
- A print shows a circle of radius 3 ft (after scaling) — area?
Show answerHide answer
π × 3² ≈ 3.14 × 9 ≈ 28.3 square feet.
- Circumference of a circle?
Show answerHide answer
2 × π × radius (or π × diameter).
- Find the missing side of an L-shaped floor plan — strategy?
Show answerHide answer
Subtract the known partial lengths from the total length on the opposite side.
- A drawing labeled NTS means?
Show answerHide answer
Not To Scale — rely on the printed dimensions, not the apparent size.
- Convert a real measurement back to drawing inches — how?
Show answerHide answer
Real length ÷ scale (real feet per inch) = drawing inches.
- A 200 ft wall at 1 in = 40 ft is how long on the print?
Show answerHide answer
200 ÷ 40 = 5 inches.
- Total wire run: 3 ft + 4 ft + 5 ft segments on a print — total?
Show answerHide answer
3 + 4 + 5 = 12 feet (sum the real segment lengths).
- Why convert each dimension before multiplying for area, not after?
Show answerHide answer
Area scales by the square of the linear factor, so converting last gives the wrong factor.
- A part is drawn 2× actual size (1 in drawing = 0.5 in real) — a 4 in line is?
Show answerHide answer
4 × 0.5 = 2 inches in reality.
- Read the scale before solving — why is it the first step?
Show answerHide answer
Every distance and area on the print depends on the scale; using the wrong scale dooms the whole answer.
- Square room of side 1.5 in at 1 in = 50 ft — real side?
Show answerHide answer
1.5 × 50 = 75 feet per side.
Mathematical Usage (51)
- Distance, rate, time formula?
Show answerHide answer
Distance = rate × time. Rearrange: time = distance ÷ rate; rate = distance ÷ time.
- 45 mph for 15 minutes — distance traveled?
Show answerHide answer
15 min = 0.25 hr; 45 × 0.25 = 11.25 miles. (Match units first.)
- Percent of a number — how to compute?
Show answerHide answer
Convert the percent to a decimal and multiply: 15% of 80 = 0.15 × 80 = 12.
- Percent change formula?
Show answerHide answer
(change ÷ original) × 100. Always divide by the ORIGINAL value.
- 45 to 63 service calls — percent increase?
Show answerHide answer
(18 ÷ 45) × 100 = 40% increase.
- Proportion, defined?
Show answerHide answer
A statement that two ratios are equal (a/b = c/d). Solve by cross-multiplying.
- Cement-to-sand ratio 2 : 5, batch of 35 total parts — cement parts?
Show answerHide answer
2/(2+5) × 35 = 10 parts cement.
- Dimensional analysis — how does it prevent errors?
Show answerHide answer
Multiply by a factor written so the old unit cancels and the wanted unit remains.
- 1 foot equals how many inches?
Show answerHide answer
12 inches.
- 1 yard equals how many feet?
Show answerHide answer
3 feet.
- 1 mile equals how many feet?
Show answerHide answer
5,280 feet.
- 1 square yard equals how many square feet?
Show answerHide answer
9 square feet (3 ft × 3 ft).
- 144 sq ft is how many square yards?
Show answerHide answer
144 ÷ 9 = 16 square yards.
- 1 foot is about how many meters?
Show answerHide answer
About 0.305 meters (1 m ≈ 3.28 ft).
- Solve 3x − 5 = 16.
Show answerHide answer
3x = 21, so x = 7. (Add 5, then divide by 3.)
- Average (mean) formula?
Show answerHide answer
Sum of the values ÷ how many values.
- Area of a rectangle, with units?
Show answerHide answer
Length × width, giving square units (e.g. sq ft).
- Volume of a box?
Show answerHide answer
Length × width × height, giving cubic units.
- Sum of three consecutive even numbers is 90 — the smallest?
Show answerHide answer
Let them be n, n+2, n+4: 3n + 6 = 90, n = 28.
- Memorize: 1/4 as a percent?
Show answerHide answer
25%.
- Memorize: 1/5 as a percent?
Show answerHide answer
20%.
- Memorize: 3/4 as a percent?
Show answerHide answer
75%.
- Memorize: 1/3 as a percent?
Show answerHide answer
About 33% (0.333…).
- Memorize: 1/8 as a percent?
Show answerHide answer
12.5%.
- Tank 25% full, add 750 L to reach 50% — total capacity?
Show answerHide answer
750 L = 25% of capacity, so capacity = 3,000 L.
- Distribute 600 bricks equally among 6 workers — each gets?
Show answerHide answer
600 ÷ 6 = 100 bricks each. (Total ÷ number of people for an equal split.)
- Round-trip 40 km/h out and 60 km/h back — average speed?
Show answerHide answer
Use the harmonic mean: 2(40)(60)/(40+60) = 48 km/h, not 50.
- Find 10% of a number quickly?
Show answerHide answer
Move the decimal one place left (10% of 250 = 25).
- Find 5% of a number quickly?
Show answerHide answer
Take half of 10% (5% of 250 = 12.5).
- Why answer every CAST question even if guessing?
Show answerHide answer
There is no penalty for wrong answers, so a guess can only help your score.
- Set up a proportion consistently — what must match?
Show answerHide answer
Keep the same item type in the same position on both sides (e.g. bags over area on each side).
- Solve 2x + 7 = 19.
Show answerHide answer
2x = 12, so x = 6.
- What is 20% of 150?
Show answerHide answer
0.20 × 150 = 30.
- What is 1/4 of 240?
Show answerHide answer
240 ÷ 4 = 60.
- Average of 12, 18, and 24?
Show answerHide answer
(12 + 18 + 24) ÷ 3 = 54 ÷ 3 = 18.
- Volume of a box 2 ft × 3 ft × 4 ft?
Show answerHide answer
2 × 3 × 4 = 24 cubic feet.
- A tank holds 500 gal and drains at 125 gal/min — how long to empty?
Show answerHide answer
500 ÷ 125 = 4 minutes.
- Convert 36 inches to feet.
Show answerHide answer
36 ÷ 12 = 3 feet.
- Convert 2.5 hours to minutes.
Show answerHide answer
2.5 × 60 = 150 minutes.
- A wall needs 8 studs per 10 ft; how many for 50 ft?
Show answerHide answer
8 ÷ 10 = x ÷ 50 → x = 40 studs (set up a proportion).
- What is 3/5 written as a percent?
Show answerHide answer
3 ÷ 5 = 0.6 = 60%.
- Cost: 6 fittings for 18 dollars — price per fitting?
Show answerHide answer
18 ÷ 6 = 3 dollars each.
- A value drops from 80 to 60 — percent decrease?
Show answerHide answer
(20 ÷ 80) × 100 = 25% decrease.
- Perimeter of a 12 ft by 8 ft room?
Show answerHide answer
2 × (12 + 8) = 40 feet.
- If 3 bags cover 120 sq ft, how many cover 200 sq ft?
Show answerHide answer
3/120 = x/200 → x = 5 bags.
- Order of operations (PEMDAS)?
Show answerHide answer
Parentheses, Exponents, Multiply/Divide (left to right), Add/Subtract (left to right).
- Evaluate 4 + 6 × 2.
Show answerHide answer
Multiply first: 6 × 2 = 12, then 4 + 12 = 16.
- Convert 0.75 to a fraction.
Show answerHide answer
0.75 = 3/4.
- A motor runs 45 min; what fraction of an hour is that?
Show answerHide answer
45 ÷ 60 = 3/4 of an hour.
- 15% of 80 is?
Show answerHide answer
0.15 × 80 = 12.
- Round 11.25 to the nearest whole number.
Show answerHide answer
11 (the decimal 0.25 is below 0.5).
Reading for Comprehension (29)
- Golden rule of CAST reading comprehension?
Show answerHide answer
Answer using only what the passage says — never outside trade knowledge or what's true in general.
- Detail (fact) question — how to attack it?
Show answerHide answer
Scan the passage for the keyword from the question, then read the exact sentence.
- Main-idea question — how to attack it?
Show answerHide answer
Look at the first and last sentences for the overall point; ignore minor details.
- Inference question — how to attack it?
Show answerHide answer
Combine facts the passage states; don't add outside assumptions.
- Most common wrong-answer trap in reading?
Show answerHide answer
A choice that's true in real life but NOT supported by the passage.
- Qualifier words to watch (always, never, only, must)?
Show answerHide answer
They change a statement's meaning — the correct choice matches the passage's qualifiers exactly.
- How many passages does Reading for Comprehension usually have?
Show answerHide answer
About four passages, each followed by several multiple-choice questions.
- Time-saving reading strategy?
Show answerHide answer
Skim the questions before the passage so you know which keywords to scan for.
- A rule passage — what two parts should you separate?
Show answerHide answer
The condition (when it applies) and the required action (what must be done).
- Passage says a capacitor holds a charge after disconnection — safe conclusion?
Show answerHide answer
Treat a disconnected capacitor as if it may still hold a dangerous charge.
- If the passage doesn't state it, the answer is?
Show answerHide answer
Wrong — even if it sounds reasonable or is true on the job.
- Best clue for a vocabulary-in-context question?
Show answerHide answer
The surrounding sentence — use how the word is used in the passage, not a memorized definition.
- Why does the CAST test reading?
Show answerHide answer
Utility craft work runs on written orders, procedures, and safety rules you must understand precisely.
- Hot stick made of fiberglass — why?
Show answerHide answer
Fiberglass doesn't conduct electricity, so a lineworker can safely handle energized equipment from a distance.
- Before re-energizing a transformer taken out of service, confirm what?
Show answerHide answer
That the grounds are confirmed in place (per the passage's stated procedure).
- If a substation logbook records who leaves last, who is responsible for locking up?
Show answerHide answer
The last person to leave, per the logbook procedure.
- Read the question stem carefully — what's the risk if you don't?
Show answerHide answer
Answering a slightly different question than the one asked (e.g. cause vs. effect).
- A passage gives a step list — what kind of question often follows?
Show answerHide answer
An ordering or 'what comes first/next' question — track the stated sequence.
- Two choices both seem supported — how do you decide?
Show answerHide answer
Pick the one MORE directly and fully supported by the exact wording of the passage.
- A passage about waterproofing a foundation — its main purpose?
Show answerHide answer
To prevent water infiltration into the structure.
- Safety passage on working at heights — essential fall-prevention equipment?
Show answerHide answer
Harnesses (fall-arrest equipment).
- Electrical-safety passage — primary protection near power lines?
Show answerHide answer
Maintaining a safe distance from the lines.
- Why compact asphalt (per a construction manual)?
Show answerHide answer
To increase the asphalt's durability and lifespan.
- A suspension-bridge passage lists components — which is NOT typical?
Show answerHide answer
Electrical wiring isn't a typical structural component of a suspension bridge.
- Reading: should you use what you already know about the trade?
Show answerHide answer
No — answer only from the passage, even if your trade knowledge differs.
- Signal words for an inference (it 'suggests', 'implies', 'best concludes')?
Show answerHide answer
They tell you the answer isn't stated outright — build it from stated facts.
- How to handle a long passage on a short timer?
Show answerHide answer
Skim for structure, read the questions, then scan back for the specific keyword each one needs.
- Passage states a tool's purpose — what kind of question is that answering?
Show answerHide answer
A detail/fact question — the answer is stated directly in the text.
- An 'EXCEPT' or 'NOT' question — what's the task?
Show answerHide answer
Find the one choice the passage does NOT support; the other three are all supported.
CAST Test Basics (28)
- What does CAST stand for?
Show answerHide answer
Construction and Skilled Trades — an EEI selection test for utility craft jobs.
- Who publishes the CAST?
Show answerHide answer
The Edison Electric Institute (EEI), the trade association of U.S. investor-owned electric utilities.
- What are the four sections of the legacy CAST?
Show answerHide answer
Graphic Arithmetic, Mechanical Concepts, Reading for Comprehension, and Mathematical Usage.
- What changed in CAST-R (the revised version)?
Show answerHide answer
It replaced Mathematical Usage with the Work Preferences Inventory, a work-style questionnaire.
- What is the Work Preferences Inventory?
Show answerHide answer
A behavioral/work-style questionnaire on CAST-R with no right or wrong answers — you rate how strongly you agree with statements.
- How is the CAST scored?
Show answerHide answer
Section scores combine into one Total Test Score (an index, 1–10 on CAST-R) predicting probability of job success.
- Is there a penalty for wrong answers on the CAST?
Show answerHide answer
No — answer every question, even guesses.
- How long does the CAST take?
Show answerHide answer
CAST-R is administered in about two hours; the legacy four-cognitive CAST runs roughly 87–90 minutes.
- Which CAST section has the most questions?
Show answerHide answer
Mechanical Concepts — 44 questions.
- How many questions is Graphic Arithmetic?
Show answerHide answer
16 questions, with a 30-minute limit.
- How many questions is Reading for Comprehension?
Show answerHide answer
32 questions, with a 30-minute limit.
- Who decides the passing/cutoff score on the CAST?
Show answerHide answer
Each hiring utility sets its own minimum score; there's no single national pass mark.
- Who takes the CAST?
Show answerHide answer
Candidates for utility construction and skilled-trade jobs — lineworker, T&D craft, substation, facilities, meter service.
- Is the CAST multiple choice?
Show answerHide answer
Yes — multiple choice, answered on a scannable bubble answer sheet.
- Can you retake the CAST if you don't pass?
Show answerHide answer
Usually yes after a waiting period set by the utility (often ~30 days); policy varies by employer.
- Is the CAST the same as POSS or MASS?
Show answerHide answer
No — POSS and MASS are EEI power-plant tests. CAST is for construction and skilled-trade (field/craft) roles.
- Are study aids allowed during the CAST?
Show answerHide answer
No — no study aids or electronics (other than a permitted calculator on Graphic Arithmetic).
- Each CAST section is timed how?
Show answerHide answer
Separately — each section has its own time limit, so pace each one independently.
- Which EEI test is for power-plant operators?
Show answerHide answer
POSS — the Plant Operator Selection System (not the CAST).
- Which EEI test is for power-plant maintenance/craft?
Show answerHide answer
MASS — the Power Plant Maintenance Positions Selection System.
- Which EEI test is for degreed technician roles?
Show answerHide answer
TECH — the Technician Occupations Selection System.
- Across how many job categories was CAST-R validated?
Show answerHide answer
Six — including transmission & distribution, facilities & repair, electrical repair, and meter service.
- Is the CAST taken at a public test center on demand?
Show answerHide answer
No — individual utilities administer it as part of their hiring process.
- What does a higher CAST Total Test Score mean?
Show answerHide answer
A higher predicted probability of success on the job — and a better chance against the employer's cutoff.
- Should you flatly tell candidates 'no calculator on the CAST'?
Show answerHide answer
No — the official CAST-R brochure permits one on Graphic Arithmetic; confirm with the administering utility.
- Mechanical Concepts items: how many answer choices each?
Show answerHide answer
Three (A, B, C), usually attached to a pictured mechanical situation.
- What's the smartest way to prepare for the timed sections?
Show answerHide answer
Take full, separately-timed practice runs so your pacing per section is automatic.
- Why does Mechanical Concepts deserve the most study time?
Show answerHide answer
It's the largest section (44 questions) and rewards learning a few rules that repeat across items.
References
- 1.Edison Electric Institute. “CAST-R Test Brochure (Construction and Skilled Trades, Revised).” Edison Electric Institute. ↑
- 2.Edison Electric Institute. “CAST-R Student Practice Tests (© 2020 EEI).” Southern Company (EEI-licensed). ↑
- 3.Institute of Education Sciences (U.S. Dept. of Education). “Organizing Instruction and Study to Improve Student Learning (Practice Guide).” What Works Clearinghouse, IES. ↑

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 PostsCareer 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.
