CogAT Verbal study materials
CogAT Verbal study resources

CogAT Verbal cheat sheet

CogAT Verbal · Keep the key ideas within reach.

Quick reference

Verbal Reasoning

  • Verbal Classification: all three stem words share one attribute (category, function, or part-whole relation); the answer must share that same attribute, not merely be associated with one stem word.

  • Verbal Analogy: read as A is to B as C is to ___, and fix the relation's direction first (whole→part, cause→effect, worker→tool); a reversed relation is the most common trap.

  • Analogy bridge types to test in order: synonym/antonym, category member, part-to-whole, function/use, degree (warm:hot), and characteristic property.

  • Sentence Completion: predict a word for the blank before reading options, then eliminate options that clash in connotation (positive vs. negative) or in degree.

  • Two-blank sentence items: the correct pair must fit both blanks; an option that fits only one blank is wrong even if it reads smoothly.

  • Verbal Classification distractors often belong to the same broad topic as the stems but differ on the defining feature (e.g., all animals, but only three are mammals).

  • Antonym items: choose the option opposite in core meaning, not the one that is merely unrelated; unrelated words are the standard distractor.

Quick reference

Quantitative Reasoning

  • Number Series: compute consecutive differences first; if differences are constant it is arithmetic, if ratios are constant it is geometric, and if differences grow it is often a second-order (difference-of-differences) pattern.

  • Alternating series: when one rule fails, split odd-position and even-position terms into two separate sequences and solve each independently.

  • Number Analogy: the same operation must map the first pair onto the second pair; test simple operations (×2, +3, square, halve) before complex ones.

  • Number Puzzle (grid/matrix): look for row-wise or column-wise rules such as sum, product, or outer-minus-inner before assuming a diagonal rule.

  • Quantitative Comparison: compare the two quantities directly and avoid computing exact values when an estimate or a single counterexample settles the comparison.

  • Average = sum ÷ count; to find a missing value from a known average, multiply the average by the count and subtract the known values.

  • Percent change = (new − old) ÷ old × 100; a 20% increase followed by a 20% decrease returns to 96% of the original, not 100%.

  • Ratio problems: convert to parts, find the value of one part by dividing the total by the total number of parts, then scale to the requested share.

Quick reference

Nonverbal Reasoning

  • Figure Classification: identify the single invariant property shared by all stem figures (number of sides, symmetry, open vs. closed, shading, or number of enclosed regions) and require it in the answer.

  • Figure Analogy: state the transformation in words (rotate 90° clockwise, add one dot, invert shading) and apply exactly that transformation to the third figure.

  • Figure Analysis (paper folding): unfold in reverse order; each fold doubles the number of holes, and holes are mirrored across the fold line.

  • Paper-folding mirror rule: a hole punched through a fold crease produces one merged hole on the crease, not two separate holes.

  • Rotation vs. reflection: a rotated figure preserves clockwise ordering of features, while a reflected figure reverses it; check one landmark feature to tell them apart.

  • Counting rules: track sides, vertices, enclosed regions, line intersections, and shaded-vs-unshaded counts as separate attributes; the rule usually involves exactly one of them.

  • Series of figures: verify that the change repeats consistently across every consecutive pair before choosing the option that continues the pattern.