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Intelligence

Abstract Reasoning

An 11-item matrix reasoning assessment from the ICAR battery. Measures your ability to identify patterns in visual matrices — a core indicator of fluid intelligence.

Measures 3 cognitive domains

10 min · 11 questions

Instructions

For each puzzle, look at the 3x3 matrix and identify the pattern. Choose the option (A-F) that best completes the matrix. If none of the options fit, select "None of these". If you do not know the answer, select "I don't know".

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About the Abstract Reasoning Test

Abstract reasoning is the ability to work out rules and relationships in unfamiliar, non-verbal material - to look at a set of figures, see how they change, and infer what comes next. This test measures it with the classic matrix format: each item shows a 3x3 grid of figures with one cell missing, and your task is to identify the pattern governing the grid and choose the option (A to F) that completes it. There are no words, facts, or arithmetic involved, so the test isolates reasoning itself.

It runs 11 difficulty-ordered matrices and takes about 10 minutes. Each item offers options A to F, plus "None of these" when no option fits and "I don't know" when you would otherwise guess - choices that keep the measurement honest. The test is free to take, and your result is placed on a normed scale against the adult population. Your free result shows your band on the population curve; the exact normed score and percentile come with the detailed report.

Items
11
Duration
~10 min
Format
Visual 3x3 matrix puzzles, options A-F plus "None of these" and "I don't know"
Free result
Your result band shown on the bell curve, free after completion
Full report
A detailed report interpreting your abstract-reasoning score and what it indicates about fluid intelligence ($9.99)

What it measures

The test targets fluid intelligence (Gf): the capacity to reason and solve novel problems independently of acquired knowledge. In Cattell's influential distinction, fluid intelligence is the on-the-spot reasoning power you bring to a new problem, as opposed to crystallized intelligence (Gc), the accumulated knowledge and verbal skill you have learned. Abstract matrix reasoning is among the purest available measures of Gf, because solving the puzzles depends on inference rather than on anything you could have studied.

What makes matrices a strong measure is well understood at the level of cognitive processing. Carpenter, Just, and Shell showed that item difficulty rises with the number and abstraction of rules a solver must induce and hold in mind at once, which is why the hardest items demand managing several transformations simultaneously - a heavy load on working memory and goal management, the machinery that underlies fluid reasoning. A high score signals strong abstract reasoning; because Gf correlates highly with the general factor g, it is also a good narrow indicator of broad cognitive ability.

  • Pattern identificationSeeing how figures change across the rows and columns of a visual matrix - the core abstract-reasoning task.
  • Rule inductionInferring the underlying relationship - progression, addition, distribution, transformation - that governs each grid.
  • Multi-rule integrationCombining two or more rules at once on harder items, where shape, count, and shading change together.

The science and validity

Matrix-style reasoning has been a reference measure of fluid intelligence since Raven introduced Progressive Matrices in the 1930s, and decades of research confirm it loads heavily on the general factor and travels comparatively well across cultures and languages, precisely because it avoids verbal and learned content. The cognitive account of why it works - difficulty scaling with the number of rules to be managed - was set out by Carpenter, Just, and Shell and remains the standard explanation of what matrix items tap.

Scores here are reported on the familiar IQ metric (population mean of 100, standard deviation of 15) using norms from adult test-taker data, and like all our online tests they are capped at 160 because an unsupervised instrument cannot certify extreme values. Note the scope: this is a single-domain test of abstract reasoning, so a high score signals strong fluid ability rather than an exact overall IQ. For a broader estimate, pair it with our multi-domain battery; for high-stakes purposes, only an individually supervised, professionally administered test is appropriate.

References

  1. Carpenter, P. A., Just, M. A., & Shell, P. (1990). What one intelligence test measures: A theoretical account of the processing in the Raven Progressive Matrices Test. Psychological Review, 97(3), 404-431.
  2. Raven, J. (2000). The Raven's Progressive Matrices: Change and stability over culture and time. Cognitive Psychology, 41(1), 1-48.
  3. Cattell, R. B. (1963). Theory of fluid and crystallized intelligence: A critical experiment. Journal of Educational Psychology, 54(1), 1-22.

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Sample items

  • A 3x3 matrix of figures with the bottom-right cell blank - choose the option (A-F) that completes the pattern.Illustrative matrix item (not a scored item) - the rule may involve progression, addition, or distribution of elements.
  • Across each row a shape gains one element and rotates 90 degrees; infer the combined rule and select the missing cell.Illustrative multi-rule item (not a scored item) - two transformations apply at once.
  • A grid where shape, count, and shading each change on a different axis - find the cell consistent with all three rules.Illustrative high-difficulty item (not a scored item) - integrating several rules simultaneously is what raises difficulty.

Frequently asked questions

What does an abstract reasoning test measure?

It measures fluid intelligence: your ability to spot patterns and infer rules in novel, non-verbal material, independent of vocabulary or learned facts. Because the items are language-free matrices, the test reflects reasoning ability itself rather than education or background knowledge, which is why abstract reasoning is considered one of the purest indicators of fluid cognitive ability.

Is the abstract reasoning test free?

Yes. Taking the test is free, with no account required to start, and your free result shows your result band on the population curve. The optional paid report adds the exact normed score and percentile, plus an interpretation of what your abstract-reasoning score means in practice.

How is abstract reasoning related to IQ?

Abstract reasoning is a measure of fluid intelligence, and fluid intelligence correlates highly with the general factor, g, that underlies overall IQ. So a strong abstract-reasoning score is a good narrow indicator of broad ability. It is not a full IQ, though, because it covers a single domain; for a complete estimate you would sample verbal, logical, and spatial reasoning as well.

Why do the matrices get harder?

Research by Carpenter, Just, and Shell showed that matrix difficulty rises mainly with the number of rules you must manage at once. Early items involve a single transformation; later items combine several - shape, count, and shading changing together - which loads working memory more heavily. That progressive demand is what lets the test discriminate across the full range of ability.

How is this different from a Raven matrices test?

Both use the same matrix-completion format and measure the same fluid-reasoning ability. Our Raven-style test is longer (60 items across five sets) for a finer-grained fluid-intelligence read, while this abstract-reasoning test is a shorter 11-item focus on the core skill. If you want the deeper culture-reduced battery, take the Raven test; for a quick, focused abstract-reasoning check, this one fits.

How long does it take?

About 10 minutes for all 11 items. The puzzles increase in difficulty as you progress, so concentration matters; take it in one quiet sitting for the most representative result.

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