Your FREE CCAT Flashcards 2026 – 100+ Cards

Next term is 96 — a geometric series doubling each step (× 2).

A number series with a constant difference between terms, such as 5, 9, 13, 17 (adding 4 each time).

A number series with a constant multiplier between terms, such as 1, 3, 9, 27 (each term × 3).

A sequence that follows a hidden rule; you find the rule and give the next (or missing) term. The most common CCAT Math & Logic item.

Test for a constant difference (arithmetic) first, then a constant multiplier (geometric); if neither fits, look for two rules alternating or two sequences interleaved.

Next term is 36 — these are perfect squares (1², 2², 3², 4², 5²), so 6² = 36.

Two separate sequences woven together (odd positions one rule, even positions another). Split the odd- and even-position terms to see each pattern.

The core percent setup. 35% of 80 = 0.35 × 80 = 28. Turn the percent into a decimal first.

change ÷ original × 100. A price rising from 20 to 25 is 5 ÷ 20 × 100 = 25% increase.

(selling price − cost) ÷ cost × 100. A jacket bought for 40 and sold for 52: 12 ÷ 40 × 100 = 30% markup.

Set equal fractions and cross-multiply: a/b = c/d. Cats:dogs = 3:5 with 24 cats → 24/3 = 8 groups, so dogs = 5 × 8 = 40.

The motion relationship. 150 miles in 3 hours → rate 50 mph; in 5 hours → 50 × 5 = 250 miles.

sum of the values ÷ how many values there are.

50%. Memorize the common fraction ↔ percent pairs to save seconds on a 15-minute test.

25%.

≈ 33.3%.

20%.

12.5%.

75%.

x = 7. Add 7 to both sides (4x = 28), then divide by 4.

x = 4. Divide by 3 (x + 2 = 6), then subtract 2.

Undo operations in reverse order: clear parentheses, move the constant, then divide by the coefficient to isolate x.

Apply them one after another, not added. 300 discounted 20% → 240, then 10% off → 216. (Not a flat 30%.)

72. The original × 1.25 = 90, so original = 90 ÷ 1.25 = 72.

11/12. Use a common denominator of 12: 3/12 + 8/12 = 11/12.

Given statements assumed true, judge whether a conclusion must follow. Accept only what the premises prove — choose 'uncertain' for any gap.

A two-premise argument: 'All A are B; all B are C; therefore all A are C.' Valid when the conclusion must follow, regardless of real-world truth.

'Some' never becomes 'all,' and a statement does not reverse — 'all A are B' does not mean 'all B are A.'

Translate words to a setup: name what's asked, label the numbers, pick the relationship (part = percent × whole, d = rt), then do clean mental math.

Read the axis labels and units first, find the exact values the question asks for, then compute (often a percent change or a share of a total).

Move the decimal one place left. Build other percents from it: 5% is half of 10%, 20% is double, 15% is 10% + 5%.

60%. Divide and multiply by 100: 3 ÷ 5 = 0.6 = 60%.

Reasoning from specific cases to a likely general rule — how you spot the pattern in a number or figure series.

Reasoning from general rules to a guaranteed specific conclusion — the basis of syllogism and true/false/uncertain items.

Multiply the whole by the slice's percent. 40% food of a 4,000 budget = 0.40 × 4,000 = 1,600.

CCAT numbers are usually clean on purpose. Fast setup and memorized conversions beat heavy computation; a calculator just eats your 15 minutes.

Two rules applied in turn — e.g. +5, then ÷ 2, repeat. Identify the two operations before predicting the next term.

The differences themselves follow a pattern: 1, 2, 4, 7, 11 grows by +1, +2, +3, +4 — so the next gap is +5.

Next term is 25 — an arithmetic series adding 4 each step.

Next term is 50 — a decreasing arithmetic series subtracting 10 each step.

Missing term is 3 — each term is divided by 3 (81 → 27 → 9 → 3 → 1).

If a/b = c/d, then a × d = b × c. Use it to solve for any single unknown in a ratio problem.

Reread what's asked before committing — the trap on word problems is solving for the rate when the question wants the distance (or vice versa).

Divide the numerator by the denominator, then multiply by 100: 3 ÷ 4 = 0.75 = 75%.

x = 7. Subtract 3x from both sides (2x = 14), then divide by 2.

Some CCAT logic items ask you to follow precise instructions or compare values exactly — read every word; a single misread changes the answer.

Number/letter series, arithmetic word problems, ratios, percentages, basic algebra, reading charts/graphs, and short logical-deduction items — solved without a calculator.

The number of questions you answer correctly out of 50 — one point each, with no penalty for wrong answers, so never leave a blank if time allows.

How your raw score compares to a norm group: a 90th-percentile score beat 90% of test-takers. Employers usually judge candidates on percentile, not raw score.

Like number series but with the alphabet — find the step between letters (e.g. +2: A, C, E, G) and continue it; convert letters to their position numbers if it helps.

A verbal item in the form A is to B as C is to ? — find the relationship in the first pair and apply the exact same relationship to the second.

Pen. The relationship is 'uses as a tool to do their work.'

Name the relationship in the first pair as a short sentence, then find the only choice that makes the same sentence true for the second pair.

A word with the opposite meaning of another (transparent / opaque; rigid / flexible). CCAT verbal items ask for the most nearly opposite word.

A word with nearly the same meaning as another (candid / frank; abate / lessen).

Choose the word that best fits the blank using context clues — especially signal words like 'although,' 'because,' or 'despite' that flag contrast or cause.

Opaque — not able to be seen through.

Flexible — able to bend or adapt.

'Although,' 'despite,' 'however,' 'yet,' 'whereas' signal that the missing word opposes the rest of the sentence — pick the contrasting choice.

'Because,' 'since,' 'therefore,' 'so' signal that the blank continues or results from the rest — pick the consistent choice.

When a word is unfamiliar, decode its parts: 'mal-' (bad), 'bene-' (good), '-phobia' (fear) often reveal meaning or polarity.

Burn. The relationship is 'has the property → the event that property leads to.'

doctor : hospital, teacher : school, judge : courtroom.

scalpel : surgeon, brush : painter, wrench : mechanic.

page : book, petal : flower, room : house.

puppy : dog, kitten : cat, foal : horse.

knife : cut, thermometer : temperature, scale : weight.

library : books, armory : weapons, wallet : money.

A topically related word that breaks your relationship sentence. If 'a doctor works in a hospital,' the answer must fit 'a __ works in a __,' not just be hospital-related.

Compare two codes, account numbers, or words character by character and decide whether they are exactly the same or different. The change is usually one digit or letter.

Look for swapped letters (receive vs. recieve) or a missing/extra letter. Scan left to right one character at a time.

A test limited mainly by time, not difficulty. The CCAT is heavily speeded — very few candidates finish all 50 questions in 15 minutes.

Working with language under time pressure — analogies, antonyms, and sentence completion that test vocabulary and how quickly you process meaning.

Scarce — in short supply.

Stingy — unwilling to give or share.

Kind, well-meaning, generous. Its opposite is malevolent (cruel).

Thrifty, careful with money. Its opposite is wasteful or extravagant.

Persistent, determined, not giving up.

Sluggish, lacking energy. Its opposite is energetic.

Open to more than one interpretation; unclear. Its opposite is clear or explicit.

Cross out choices that clash with the sentence's tone or logic first; CCAT options usually include one clear opposite you can drop immediately.

Nest. The relationship is 'animal → the structure it builds and lives in.'

Cat. The relationship is 'young animal → its adult.'

Weapons. The relationship is 'building → what is stored inside it.'

Contract — to shrink or reduce in size.

Criticize (or condemn) — to express disapproval.

Honest and direct; frank. A synonym is forthright.

Don't camp on one hard vocabulary word — make your best read of its polarity and move on; the clock is the real opponent on a speeded test.

Student. The relationship is 'professional → the person they serve.'

Analogies, antonyms (opposite words), and sentence completion — vocabulary and language-processing items answered quickly.

There is no universal pass mark. Employers set their own target score ranges by role, so a competitive score depends entirely on the job you're applying for.

Because there's no penalty for a wrong answer, eliminate what you can and guess — a blank scores the same as a wrong answer, but a guess might be right.

Mentally rotating, reflecting, folding, or completing shapes — picturing how a figure changes or how parts fit together, without words.

A row of figures changes by a rule — rotation, a growing count, a size change, or shading. Identify what changes from one to the next, then continue it.

A 3×3 grid with one cell missing; each row and/or column follows a rule. Read across a complete row and down a complete column to deduce the missing figure.

Several figures share a feature and one breaks it (orientation, count of sides, shading). Find the shared rule, then pick the figure that violates it.

Rotate the figure in your mind one step at a time (90° at a time), and rule out mirror images — the most common wrong answer.

A rotation turns a figure; a reflection flips it. A mirror image of an asymmetric shape can never be reached by rotation — eliminate it.

A sheet is folded, a hole or mark is made, then unfolded. The mark is duplicated symmetrically across each fold line — count the folds to count the resulting marks.

The number of elements increases by a fixed amount each step (one square, two squares, three squares…) — continue the count.

Shapes gain a side each step: triangle (3) → square (4) → pentagon (5) → hexagon (6).

Figures cycle through a fixed order (circle, triangle, circle, triangle…); follow the cycle to name what comes next.

A figure alternates black/white or shifts which part is shaded each step — track the shading rule separately from the shape.

A shape changes size at a steady step (large → medium → small → even smaller) — continue the size trend.

Each cell rotates its element by a fixed angle (e.g. 90° clockwise) across a row — apply the same turn to find the missing cell.

Turning 'b' completely upside down gives 'q' (the bowl moves to the top-right). Picture the flip carefully — letter-rotation items are about orientation, not the letter itself.

Flipping a letter left-to-right swaps its left and right. 'E' mirrored has its prongs pointing left instead of right.

1) Decide the operation (rotate, reflect, complete, find odd one). 2) Transform one step at a time. 3) Rule out mirror images. 4) Drop any choice with an extra or missing part.

Before choosing, count the elements in your transformed figure and in each option — eliminate any choice with one too many or one too few.

Spotting the rule that governs a series of numbers or figures so you can predict what comes next — the skill behind both number-series and figure-series items.

In a 3×3 figure matrix, check the rule along the rows AND down the columns — the missing cell must satisfy both.

They test reasoning, not memorized facts, so repeated exposure to rotation, folding, and matrix formats builds the biggest, fastest gains.

Each fold doubles a punched hole when unfolded — one hole through two folds typically opens to four holes, placed symmetrically about the fold lines.

In an odd-one-out where inner shapes touch the box edge, the exception is the one where the inner shape does NOT touch — judge the relationship, not the shapes.

Fix a reference point on the figure (an arrow tip, a dot) and track which way it moves between steps to lock the rotation direction.

A figure can rotate AND change shading each step. Track each rule separately, then combine them to predict the next figure.

On figure items it's faster to rule out wrong options (wrong orientation, mirror flip, wrong count) than to construct the answer from scratch.

Next-in-series figures, figure matrices, shape rotation and reflection, paper folding, and odd-one-out items — all visual, no reading.

50 questions in 15 minutes is about 18 seconds each. Bank the questions you find easy, guess and move on when stuck, and answer everything you can before time runs out.

CCAT questions tend to get harder as you progress, so move efficiently early to leave time for the tougher later items.