What Abstract Reasoning Questions Look Like
Abstract reasoning tests measure your ability to identify patterns in visual information without relying on vocabulary, prior knowledge, or domain expertise. Unlike verbal tests that assess language skills or numerical tests that require calculation, abstract reasoning isolates pure pattern recognition: the capacity to see how elements transform, relate, and recombine across sequences and spatial arrangements.
The most famous abstract reasoning test is Raven's Progressive Matrices, first published in 1936 by John C. Raven. The test presents a 3x3 grid of geometric shapes or patterns with the bottom-right cell missing. Your task is to identify which of several answer options belongs in that empty cell by recognizing the rule governing how the patterns change across rows and columns. This format remains the gold standard for measuring fluid intelligence, the ability to reason through novel problems without relying on learned knowledge.
Abstract reasoning tests appear frequently in:
- Cognitive assessments, Raven's matrices are embedded in virtually every IQ test and cognitive ability battery used by psychologists and educational systems
- Employment selection, management consulting firms, software companies, and finance roles routinely include abstract reasoning in hiring assessments
- Military and law enforcement, screening and officer selection processes depend heavily on pattern recognition under time pressure
- Educational placement, gifted identification and advanced program selection often use abstract reasoning as a core criterion
Matrix Completion Questions (Type 1)
Example 1: Rotation and Addition
Imagine a 3x3 grid. The first row contains: a small black square, a small black square rotated 90 degrees (unchanged visually, so it's identical), a medium black square. The second row: a small circle, a circle rotated (again, identical), a medium circle. The third row: a small triangle pointing up, a triangle rotated 45 degrees (now pointing diagonally), and the missing cell.
The rule operates on two dimensions simultaneously. Reading across each row, the first cell is size small, the second cell is the same size (rotation of a symmetric shape doesn't change it), and the third cell is larger. Simultaneously, reading down each column, the shapes change: column 1 is square-circle-triangle, column 2 is square-circle-triangle, and column 3 must follow the same sequence. The answer is a medium triangle in the same orientation as the others in that column, specifically, a triangle pointing upward to match the sequence established by column 3.
Example 2: Number of Elements
A 3x3 grid where row 1 has: one black dot, two black dots, three black dots. Row 2: one white dot, two white dots, three white dots. Row 3: one gray dot, two gray dots, and the missing cell. The rule is straightforward, within each row, the number of dots increases by one. The answer is three gray dots. This type tests whether you can isolate a single dimension (quantity) that changes predictably while other dimensions (color of the dots, their arrangement) remain stable or follow a parallel rule.
Sequence Pattern Questions (Type 2)
Example 1: Progressive Transformation
A sequence of five figures displayed left to right. Figure 1 is a small square. Figure 2 is a slightly larger square rotated 45 degrees (now diamond-shaped). Figure 3 is even larger, rotated another 45 degrees (back to square orientation but much bigger). Figure 4 continues growing and rotating. Figure 5 is larger still. The question asks: "What should Figure 6 look like?"
The rule involves two changes happening in tandem. The shape consistently rotates by 45 degrees with each step, and the size increases incrementally. The answer is a square rotated 45 degrees (diamond orientation), significantly larger than Figure 5. The key to solving sequence problems is identifying which properties change and which remain constant, then projecting that pattern forward.
Example 2: Alternating Patterns
A sequence of six figures. Odd-numbered figures (1, 3, 5) are all triangles in different sizes. Even-numbered figures (2, 4, 6) are all circles in different sizes. Figures 1 and 2 are small; figures 3 and 4 are medium; figures 5 and 6 are large. The sequence is: small triangle, small circle, medium triangle, medium circle, large triangle, large circle. What comes next?
The alternating pattern means the next figure would be a shape outside the established sequence, or the sequence repeats. In many sequence problems, once a pattern is established, the test asks whether you can recognize when it ends and begins again. The answer depends on whether the test continues the alternation (a very large triangle would come next) or cycles back to the start (returning to a small shape).
Figure Analogy Questions (Type 3)
Example 1: Transformation Analogy
Figure A is a square. Figure B is the same square but rotated 45 degrees. The prompt states: "A is to B as C is to __?" Figure C is a pentagon. The relationship between A and B is rotation. Applying the same transformation to C, the answer is a pentagon rotated 45 degrees using the same rotation applied to the square. This type tests whether you can extract a rule from one pair and apply it to another.
Example 2: Addition Analogy
Figure A is a circle. Figure B is a circle with a dot inside. The prompt: "A is to B as C is to __?" Figure C is a square. The relationship is adding an internal element, specifically, adding a smaller shape inside the larger shape. Applying the same rule, the answer is a square with a dot inside. More complex analogies might involve adding multiple elements, changing colors, or applying size transformations, but the core task remains the same: understand the transformation from the first pair and replicate it for the second pair.
Odd-One-Out Questions (Type 4)
Example 1: Symmetry Rule
Five figures are presented. Four are symmetrical (left half mirrors the right half). One is asymmetrical, the left and right sides do not mirror each other. The task is to identify the odd one out. The odd figure is the one that breaks the symmetry rule. This tests whether you can recognize when an element violates an implicit pattern that the others follow.
Example 2: Shape Sequence Rule
Five figures: a triangle, a square, a pentagon, a hexagon, and a circle. Four of these shapes share something in common, they are all polygons with a fixed number of sides. The circle is the odd one out because it has no straight sides. Alternatively, if the test groups them as "shapes with fewer than five sides, shapes with more than five sides, and the circle," then one of the polygons becomes the odd one. The rule determining which figure doesn't belong depends on which property you identify as the organizing principle. Skilled abstract reasoners test multiple hypotheses quickly: "Are these grouped by number of sides? By symmetry? By size? By color?" and select the hypothesis that makes four figures similar and one different.
How to Approach Each Question Type
Matrix Completion: Examine rows first, then columns, then diagonals. Ask: "Does the pattern change predictably across rows? Across columns? Are multiple properties changing at once, size, color, rotation, quantity?" Work systematically through each dimension rather than trying to guess the overall pattern at once. Once you identify one rule (e.g., size increases down the column), check whether it holds across the entire matrix. If two independent rules exist (one governing rows, one governing columns), apply both to locate the missing cell.
Sequences: Identify what changes and what stays constant. Write down the property of each figure: size (small, medium, large), shape (triangle, square, circle), orientation (pointing up, pointing right, etc.), color. Look for patterns in each property independently. Does size increase steadily? Do shapes cycle? Does orientation rotate by a consistent degree? Once you've characterized the pattern in one dimension, check whether the other dimensions follow independent rules or whether they're linked (e.g., larger shapes are always darker).
Analogies: Avoid assuming the transformation is simple. A square becoming a circle might represent rotation, size change, color change, or addition of an internal element, you need to determine which. State the transformation as explicitly as possible: "A is rotated 90 degrees to create B" or "A gains an outline to create B." Then apply that exact transformation to C. If the resulting figure matches one of the answer choices, that's your answer. If it doesn't match any choice, reconsider whether you've correctly identified the transformation.
Odd-One-Out: Generate multiple hypotheses about what rule the four similar figures follow. Test each hypothesis: "Are they grouped by symmetry? By the number of sides? By size? By position?" Choose the hypothesis that cleanly separates four figures from one. If a figure could plausibly fit with the others under a different rule, consider whether the test intends a more specific rule, for instance, "four are polygons and one is a circle" is a rule, but "four have an even number of sides and one has an odd number" is more specific and may be the intended distinction.
Time Management: Abstract reasoning tests are often administered under time pressure. Work quickly through easier items (they tend to appear first in most batteries) to build confidence and secure points. When you encounter a harder matrix or analogy, spend no more than 60-90 seconds on it. If you can't identify the pattern in that time, make an educated guess or eliminate obviously wrong answers and select among the remaining options. Skipping a difficult item early and solving three easier items later is a better strategy than spending two minutes on one hard problem.
Research on abstract reasoning (Carpenter, Just, and Shell, 1990) found that strong performers on matrix reasoning problems tend to employ a serial scanning strategy: they systematically examine each rule, check it against the data, and abandon it if it doesn't fit. Weaker performers tend to lock onto a plausible rule too quickly and fail to notice when it breaks down. The habit of explicitly testing your hypothesis and remaining willing to discard it if the evidence contradicts it is the single strongest predictor of success on these problems.
Take the Abstract Reasoning Test to assess your pattern recognition strength and identify the specific question types where you excel or need practice.