CFAT study materials
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CFAT flashcards

CFAT · Build recall with a focused review session.

32 cards. Read the term and the definition here. The deck at the top of this page is optional.

Analogy relationship types
Common relationships include part-to-whole, cause-effect, synonym/antonym, function, degree, and worker-tool. Identify the exact relationship in the given pair before evaluating answer choices.
Antonym strategy
Choose the answer most nearly opposite in meaning. Eliminate synonyms and unrelated words, and beware of near-opposites that differ in intensity or connotation.
Synonym selection
Pick the answer closest in meaning to the target word. Consider part of speech and typical context, and reject choices that are merely associated rather than equivalent.
Sentence completion signal words
Words such as 'although', 'because', 'therefore', and 'despite' indicate contrast or continuation. Use them to predict whether the blank should match or oppose the other clause.
Main idea vs. detail
The main idea is the central point covering the whole passage. Supporting details answer who, what, when, where, or why, and do not by themselves state the passage's overall point.
Valid inference
An inference must be logically supported by the text, not merely plausible. If the passage does not provide evidence for a statement, that statement is not a valid inference.
Word roots and prefixes
Prefixes such as bene- (good), mal- (bad), ante- (before), and post- (after) help infer meaning. Roots such as -dict- (say) and -spect- (look) also reveal unfamiliar words.
Double-blank logic
Both blanks must fit the sentence's logic simultaneously. Test each pair as a unit and reject pairs where one word conflicts with the other or with the sentence's tone.
Mental rotation cue
Track a single distinctive feature, such as a notch or colored corner, through the rotation. A mirrored version cannot be produced by rotation alone.
Paper folding unfold rule
Unfold step by step in reverse order. Each fold doubles the number of holes and reflects hole positions across the fold line.
Cube net validity
A valid net has six squares and folds without overlap. Opposite faces are separated by exactly one square in a straight line on the net.
Cube face adjacency
Faces that share an edge on the net are adjacent on the cube. Faces separated by one square in a row or column are opposite.
Pattern completion rule
Identify the rule of the sequence: rotation, reflection, translation, or alternating change. Apply the same rule to the missing element.
Hidden figures scan
Search for the target shape's outline embedded in a complex drawing. The target may be rotated but not resized or distorted.
Block counting formula
A stack built in triangular layers with n blocks on the bottom has n(n+1)/2 blocks total. Count visible and hidden blocks systematically.
Mirror vs. rotation
A reflection reverses left-right orientation but preserves up-down. A rotation preserves orientation, so a rotated shape is not a mirror image.
Percent increase formula
Percent increase = (new − old) / old × 100. Percent decrease uses the same formula with a negative change.
Rate and work formula
Distance = rate × time. For work problems, rate = 1/time and combined rate = sum of individual rates.
Ratio proportion setup
Set up equivalent fractions and cross-multiply. For part-to-part ratios, the total number of parts equals the sum of the ratio terms.
Average missing value
Average = sum / count. To find a missing value, use sum = average × count and subtract known values.
Number series patterns
Check differences, ratios, alternating patterns, and squares or cubes. Common sequences include arithmetic (+d), geometric (×r), and Fibonacci-style (each term = sum of previous two).
Syllogism validity
Draw Venn diagrams for syllogisms. A conclusion is valid only if it must be true in every arrangement consistent with the premises.
Data interpretation caution
Read axis labels and units carefully. Compute totals, differences, and percentages from the chart, and watch for misleading scales.
Arithmetic word problem steps
Translate the text into an equation: define the unknown, identify the operation, and check units before computing.
Part-whole percent
Part = percent × whole. Rearrange to find the percent or the whole when the other two values are known.
Combined work rate
If worker A finishes in a hours and worker B in b hours, their combined rate is 1/a + 1/b jobs per hour. The time together is the reciprocal of that sum.
Sequence: arithmetic
An arithmetic sequence adds a constant difference d each term. The nth term is a + (n−1)d, and the sum of the first n terms is n/2 × (first + last).
Sequence: geometric
A geometric sequence multiplies by a constant ratio r each term. The nth term is a × r^(n−1); check for alternating signs when r is negative.
Logical contrapositive
If 'if P then Q' is true, then 'if not Q then not P' is also true. The converse 'if Q then P' is not necessarily true.
Venn diagram syllogism
Represent each premise as a region in a Venn diagram. A conclusion is valid only if it holds in every possible diagram consistent with the premises.
Chart scale check
Verify that axis labels, units, and starting values are consistent. A truncated axis can exaggerate differences, so read the scale before comparing bars or lines.
Unit conversion in problems
Convert all quantities to the same unit before computing. Multiply by conversion factors arranged so unwanted units cancel, leaving the desired unit.