Reviewed 19 August 2026 by the Cognivy editorial team
Matrix items turn up in hiring under several names: Matrigma, Raven's Adaptive, Aon's gapChallenge. The grid looks much the same each time, and the rules, pacing and scoring do not. This guide covers the rule families worth checking, what each provider publishes about its format, a procedure that catches the second rule — and six free practice questions to run it on. If your invitation names a particular test, the section directly below sends you to it.
- Questions
- 15 on Raven's Adaptive; Aon sets no fixed number for gapChallenge
- Time limit
- About 12 minutes on Raven's Adaptive and Adaptive Matrigma, with one minute per question on Matrigma; classic Matrigma runs 40 minutes
- Answer format
- Multiple choice: the figure that completes the grid, chosen from a set of eight on Raven's Adaptive
- Grid size
- Usually three by three; Aon's gapChallenge uses four-by-four or five-by-five grids
- Scoring
- Norm-referenced. Assessio reports a nought-to-ten C-score, and no provider publishes a pass mark
Start in the right place
Which matrix test are you sitting?
The grid is the same shape everywhere and the instrument is not: the answer tray, the pacing and the rule mix all differ. If your invitation names one of these, practise that one. If it names none of them, the numbered series on this page is the general option and covers every rule family below.
The skill
What is a matrix reasoning test?
A matrix reasoning item is a grid of figures, usually three by three, with one cell left blank. Something changes as you move across each row, and something changes as you move down each column. Your task is to work out both, then pick the option that satisfies them together.
Pearson describes its Raven's Adaptive assessment in exactly those terms: three-by-three geometric designs, each with a piece missing, where you select the correct piece from a set of eight. Assessio describes Matrigma as consisting of matrices that require logical and spatial ability. Aon describes gapChallenge as understanding the pattern in the graphic provided and using logic to fill the empty cell.
Nothing in the grid is verbal or numerical, which is why employers reach for it: the same item works across languages and educational backgrounds. It is also why it feels unfair the first time. Preparation cannot change what the test is designed to measure, but it can make the item format and a consistent solving process familiar.
Matrix reasoning is the grid-shaped member of the abstract reasoning family. If your assessment shows sequences to continue, odd-one-out sets or shape analogies rather than a grid with a missing cell, the broader abstract reasoning guide is the better starting point. It is linked at the end of this page.
Try it before anything else
Free matrix reasoning practice questions
Six original questions covering the rule families above, each one a grid you have not seen. Commit to an answer before opening the solution — the solution walks the method and names the rule every wrong option breaks.
A three-by-three grid. Read the rows left to right and the columns top to bottom.
Row 1: shaded circle · plain square · plain triangle. Row 2: plain circle · shaded square · plain triangle. Row 3: plain circle · plain square · ?
Which option completes the grid?
Show the worked solution
Answer: B — shaded triangle.
- Shape first: every row runs circle, square, triangle in that order, so the missing cell is a triangle. That removes the circle and the square options.
- Shading second: the shaded figure sits in position one in row 1 and position two in row 2, so in row 3 it sits in position three.
- The missing cell is therefore both a triangle and the shaded figure of its row.
- Only one option satisfies both rules at once.
Why the other options are there. The plain triangle satisfies the shape rule and ignores the shading rule entirely. Options that are right in one direction and silent in the other are the standard distractor on this format, and they are why checking both directions is not optional.
A three-by-three grid of arrows. Each arrow is drawn inside a box that also contains a number of dots.
Row 1: arrow up with 1 dot · arrow right with 1 dot · arrow down with 1 dot. Row 2: arrow up with 2 dots · arrow right with 2 dots · arrow down with 2 dots. Row 3: arrow up with 3 dots · arrow right with 3 dots · ?
Which option completes the grid?
Show the worked solution
Answer: C — arrow down with 3 dots.
- Across a row the arrow rotates 90 degrees clockwise at each step: up, right, down.
- Down a column the dot count increases by one at each row: one, two, three.
- The missing cell sits in row three and column three, so it needs three dots and the third rotation position.
- The third rotation position is down, so the answer is an arrow pointing down with three dots.
Why the other options are there. The arrow pointing left with three dots continues the rotation one step too far. Counting rotation steps forward from the start of the sequence, instead of reading the cell's actual column position, is a rotation-specific error and an easy one to make at speed.
A three-by-three grid. Every cell contains the same L-shaped tile — one long arm and one short arm meeting at a right angle — in some orientation. Each cell is described by where the corner sits and which way each arm points. The four cards below are the answer options.
Row 1: corner bottom left, long arm up, short arm right · corner top left, long arm right, short arm down · corner top right, long arm down, short arm left. Row 2: corner top left, long arm right, short arm down · corner top right, long arm down, short arm left · corner bottom right, long arm left, short arm up. Row 3: corner top right, long arm down, short arm left · corner bottom right, long arm left, short arm up · ?
Which card completes the grid?
Show the worked solution
Answer: B — Card 2.
- Fix the tile's handedness before anything else: in every visible cell, standing at the corner and swinging from the long arm to the short arm turns clockwise. Whatever completes the grid must swing the same way, because turning a tile cannot reverse that swing.
- Now the row rule: reading left to right, each tile is the previous one turned a quarter-turn clockwise — long arm up, then right, then down. Both complete rows do the same.
- Check the columns before the options: each column also advances a quarter-turn clockwise per row, so the two directions agree. The missing cell is one quarter-turn on from corner bottom right, long arm left — which is corner bottom left, long arm up, short arm right.
- Card 2 shows exactly that orientation, and its long-to-short swing runs clockwise. The third column confirms it: long arm down, then left, then up.
Why the other options are there. Card 3 is the mirror image of the correct tile: the long arm points up on both, but its short arm runs left instead of right, and its long-to-short swing turns anticlockwise where every tile in the grid turns clockwise. No amount of turning produces it, which is exactly why it is on the list. Card 1 turns the grid backwards — a quarter-turn anticlockwise from the preceding cell — and repeats the tile that opens both its row and its column. Card 4 repeats the preceding cell unchanged, which breaks the quarter-turn step in the row and the column at once.
A three-by-three grid. Each cell contains up to three marks drawn together: a horizontal line, a vertical line and a circle.
Row 1: horizontal line and circle · horizontal line and vertical line · vertical line and circle. Row 2: vertical line and circle · circle · vertical line. Row 3: horizontal line and vertical line · all three marks · ?
Which option completes the grid?
Show the worked solution
Answer: D — a circle only.
- Compare the complete rows first. In row 1, the horizontal line appears in both of the first two cells and is missing from the third; the circle and the vertical line each appear in exactly one, and both survive.
- Row 2 behaves the same way: the circle sits in both of the first two cells and vanishes; the vertical line sits in one and survives. The rule: the third cell keeps the marks that appear in exactly one of the first two, and shared marks cancel.
- Row 3 shares the horizontal and the vertical line between its first two cells, so both cancel. Only the circle appears once, so the missing cell is a circle alone.
- The columns confirm it: in the third column, the vertical line is shared between the first two cells and cancels, leaving the circle either way.
Why the other options are there. Option A keeps everything the two cells contain, which is the rule with the cancelling forgotten — row 1 already disproves it, because the shared horizontal line never reaches the third cell. Option B is the same error inverted: it keeps only the shared marks, which are precisely the ones the rule removes. Option C repeats the third cell of the top row, and it is also what the third column produces if shared marks are kept rather than cancelled.
A three-by-three grid. Each cell shows a square with a dot on one of its four corners, and each square is filled white, grey or black.
Row 1, all squares white: dot top-left · dot top-right · dot bottom-right. Row 2, all squares grey: dot top-right · dot bottom-right · dot bottom-left. Row 3, all squares black: dot bottom-right · dot bottom-left · ?
Which option completes the grid?
Show the worked solution
Answer: C — a black square with the dot on the top-left corner.
- Take the two attributes separately. The fill is constant along each row and darkens down each column — white, grey, black — so the missing cell must be black whichever way you read it.
- The dot moves one corner clockwise at every step along a row: top-left, top-right, bottom-right in row 1. The columns advance the same way, which is why row 2 starts where row 1's second cell stood.
- In row 3 the dot has reached bottom-left, and one more clockwise step carries it round the wrap to top-left. The sequence does not stop at the last corner; it circles.
- Only one option is both black and dotted top-left. The third column agrees: bottom-right, bottom-left, then top-left.
Why the other options are there. Option A carries the dot correctly and forgets the fill rule: grey belongs to the middle row, and the third column must darken white, grey, black. Option B moves the dot backwards — one corner anticlockwise — and lands on the corner that opened both its row and its column, which is what makes it feel familiar. Option D leaves the dot where it stood, and a step of nothing breaks the one-corner move in the row and the column at once.
Aon publishes exactly this format for gapChallenge: a larger grid, partly filled, in which no shape may repeat in any row or column. This four-by-four grid uses circles, squares, triangles and stars. Most cells are empty, and the cell marked with a question mark must be filled.
Row 1: square · empty · triangle · empty. Row 2: circle · empty · ? · star. Row 3: empty · empty · circle · empty. Row 4: triangle · empty · empty · empty.
Which shape belongs in the marked cell?
Show the worked solution
Answer: B — square.
- The rule is given rather than hidden: no shape repeats in any row or column. So the question is pure elimination — which shapes does the marked cell's row already hold, and which does its column already hold.
- The row: circle and star are taken, leaving square or triangle. Stop there and two options still stand, which is the point of the format.
- The column: triangle and circle are taken, leaving square or star. Neither direction settles the cell alone.
- Only square survives both lists. The triangle in the bottom row plays no part — larger grids carry cells you never need.
Why the other options are there. Circle is excluded twice over, by its row and by its column. Triangle passes the row check and collides with the triangle at the top of its column; star passes the column check and collides with the star at the end of its row. Each near-miss survives exactly one direction, which is why checking only one is the mistake this format punishes.
A short matrix reasoning set at the real per-question pace, scored server-side like the full product, with a worked solution after every answer.
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What employers are looking at
What do matrix reasoning tests measure?
Matrix items are the classic measure of fluid reasoning: solving an unfamiliar problem without drawing on learned knowledge. Pearson describes Raven's Adaptive as assessing lateral thinking, learning new concepts quickly, and solving new and complex problems without drawing on prior knowledge.
Assessio reports Matrigma as a general mental ability score on a nought-to-ten C-scale, grounded in Spearman's g-factor and Cattell's notion of fluid intelligence, and interpreted against a norm group. Assessio also notes that the non-verbal format helps reduce the disadvantage for candidates with dyslexia or dyscalculia.
In practice the test separates three things: whether you notice a change at all, whether you test it against every row and column instead of one, and whether you can hold two rules in mind at once.
Reading your result
How matrix reasoning tests are scored
A matrix score is rarely a count of grids solved. Providers convert responses into a standing against other people, and on the adaptive versions the difficulty of what you answered carries as much information as the amount.
- Results are norm-referenced, not marks out of ten. Assessio reports Matrigma as a General Mental Ability score on a nought-to-ten C-scale, interpreted against a norm group. The number the employer sees is a comparison with other people, not a tally of correct grids.
- No provider publishes a pass mark. Assessio's C-score is read against a norm group, and any threshold is set by the employer for the role. If a recruiter has disclosed a target, that is the only target worth preparing against.
- On an adaptive test, the question count is not the score. Matrigma and Raven's Adaptive change question difficulty with your responses, so the number of questions answered is not the score by itself. The provider's score report, rather than the count alone, is the right way to interpret the result.
- Difficulty is not feedback. Both adaptive assessments select the next grid from your last answer, and Aon states that gapChallenge may get more difficult as you progress. A harder grid often follows a correct answer, so treat rising difficulty as normal behaviour rather than as a verdict.
- The construct is general, and the weighting is the employer's. Assessio grounds the C-score in Spearman's g-factor and Cattell's notion of fluid intelligence, which is why a single non-verbal test is reported as General Mental Ability. How an employer weighs that number against the rest of your application is their decision rather than the test's.
Question formats
The rule families that fill the grid
The grid is constant. The rule families that fill it are a short list, and knowing the list is most of the preparation.
- Progression across a row or column. A count, size, angle or position increases or decreases by a fixed step in each successive cell.
- Distribution of three. Each row and each column contains each of three elements exactly once, in a different order. Very common, and easy to miss because nothing appears to move.
- Rotation and reflection. A figure turns by a constant angle at each step. Reflection distractors are supplied deliberately, because a mirrored figure matches the original feature for feature and no rotation can produce it.
- Addition, subtraction and overlay. The third cell combines the first two, with shared elements sometimes kept and sometimes cancelled. The cancelling version is often described as an exclusive-or rule.
- Movement of an element. A dot, line or marker travels a fixed number of positions at each step, sometimes wrapping around the figure.
- Constant along one axis. One attribute stays fixed along the row and changes down the column, or the reverse. Two independent rules stacked inside one grid.
Each row holds one circle, one square and one triangle in some order. Reading downwards, the shaded figure sits one position further right in each successive row. The missing cell is fixed by two independent facts: which shape its row has not yet used, and where the shading has reached. Neither alone is enough, and an option satisfying only one of them is always on the answer list.
Launch coverage
Which providers use matrix reasoning tests?
Three of Cognivy's launch families deliver matrix items, under three different names and three different delivery models.
- Matrigma. Assessio's help material describes Matrigma as consisting of matrices requiring logical and spatial ability, delivered adaptively, with a one-minute limit per question inside a twelve-minute total. A less common classic version runs to 40 minutes. Results are reported as a nought-to-ten C-score for General Mental Ability.
- Raven's Adaptive matrix reasoning. Pearson lists Raven's Adaptive as three-by-three geometric designs with a piece missing, chosen from a set of eight, delivered by computer-adaptive testing at 15 items in approximately 12 minutes.
- gapChallenge. Aon files gapChallenge under deductive-logical thinking and describes the task as understanding the pattern in the graphic provided and using logic to fill the empty cell. Its published practice material is more specific: a four-by-four or five-by-five grid with some squares filled and one marked with a question mark, where no shape is repeated in any row or column. Aon states there is no set number of questions and that the test may get more difficult as you progress.
Provider names identify the assessment format. Cognivy is independent and is not affiliated with or endorsed by these providers.
What varies, and what does not
Timing, adaptive delivery and scoring
Major matrix assessments are often short, and some use adaptive delivery. Both details change how you should pace yourself.
- The clock is often per item, not per test. Assessio gives Adaptive Matrigma a one-minute limit for each question inside a twelve-minute total. A grid you have not started within the first fifteen seconds is a grid to leave.
- Some major matrix assessments are adaptive. Both Matrigma and Raven's Adaptive select the next item from your last answer. An adaptive test may follow a correct answer with a harder item, but you cannot read your score from how hard the grids feel, so treat rising difficulty as normal behaviour rather than as feedback.
- The classic long form still exists. Assessio's less frequently used classic Matrigma runs 40 minutes with progressively harder items. Your invitation should tell you which version you have been sent.
- Scores are norm-referenced, not marks out of ten. Assessio reports a nought-to-ten C-score for General Mental Ability against a norm group. No pass mark is published, and any threshold belongs to the employer.
A repeatable approach
A procedure that catches the second rule
Matrix items reward a fixed procedure, because what goes wrong is a check that was skipped rather than a rule that was too hard.
- 1
Scan attributes in the same order every time. Shape, count, size, position, rotation, shading, line style. A fixed order is what stops you missing the one attribute that moved.
- 2
Solve the rows first, then the columns. State each direction as a sentence before looking at the options. If only one direction has a rule, you have not finished the grid.
- 3
Predict the answer before reading the options. Describe the missing cell in words. Options are written to be attractive, and reading them first anchors you to one of them.
- 4
Reject on a broken rule, not on appearance. Take each option and name the rule it violates. An option that fits the row and breaks the column is the classic trap on this format.
- 5
Check for the second rule before committing. A grid often carries two rules at once, and finding one and stopping leaves an option that satisfies half the pattern looking correct.
What slows progress
Common mistakes, and the fix for each
- Solving only across the rows. Fix: force yourself to state the column rule before opening the options. If you cannot state it, you have not solved the grid.
- Stopping at the first rule. Fix: assume two rules until you have proved there is one. If your single rule eliminates fewer than all but one option, another rule is running.
- Confusing rotation with reflection. Fix: pick one asymmetric feature and track where it lands. A rotation carries it around the figure; a reflection swaps its side.
- Choosing the option that looks right. Fix: name the violated rule for every option you reject. If you cannot name one, you are recognising rather than reasoning.
- Repeating grids you have already seen. Fix: practise on unseen items. Remembering an answer feels like improvement and measures nothing, and an adaptive test will not serve you the grid you rehearsed.
You have seen the method. Employers set the full battery.Every provider, every track, a worked solution on every question.
Get full accessIn practice
How do you decompose a three-by-three matrix under time pressure?
Run the attribute scan in a fixed order on every grid: shape, count, size, position, rotation, shading, line style. The order itself is not the insight — any order works if it never varies — but fixing it is what stops one moving attribute from hiding behind another. Sample question 5 runs a moving dot and a darkening fill at once, and a candidate who scans ad hoc finds one of them, commits, and walks into the option built for exactly that.
Then state each direction's rule as a sentence before you open the options: the tile turns a quarter-turn clockwise, shared marks cancel, the dot moves one corner. A rule you cannot say in words is a rule you have not found, and a spoken prediction turns the answer list from a menu into a check — you are no longer browsing for what looks right, you are confirming what must be there.
The clock settles the rest. Adaptive Matrigma allows one minute per question, and a grid you have not started within the first fifteen seconds is a grid to leave. A fixed routine — scan, state, predict — is worth having precisely because a per-question clock punishes staring: each step either produces something or tells you to move.
In practice
Row rules or column rules — which do you check first?
Rows first, as a habit. Reading order makes a left-to-right change the cheapest to spot, and most grids state their clearest rule across the rows. But first is the operative word: a grid is not solved until the columns confirm what the rows claim, and the standard distractor on this format — right in one direction, silent in the other — exists because stopping at half the evidence feels like finishing. Sample question 1's plain triangle is exactly that option.
Sample question 6 shows the stronger case: the row leaves two shapes standing, the column leaves a different two, and only the shape on both lists survives. Neither direction is sufficient on its own, which makes the order you check them in matter far less than the refusal to commit after one.
The family that punishes a rows-only habit hardest is the distribution of three, because nothing appears to move: each row and each column simply holds each of three elements once, in a different order. There is no motion for the eye to catch, so the rule only surfaces when you audit both directions deliberately. If a single rule leaves more than one option alive, a second rule is running — and it usually lives in the direction you have not checked.
In practice
How do you tell rotation from reflection in a matrix grid?
Track one asymmetric feature and note where it lands. A rotation carries a feature around the figure and preserves the way its parts wind; a reflection swaps its side and reverses that winding. The reliable check is handedness: stand at a fixed point of the figure, swing from one named part to another, and record whether the swing runs clockwise or anticlockwise. No turn within the plane can reverse that swing, and every mirror does.
That check is what unpicks sample question 3. The mirror card matches the correct tile feature for feature — long arm up on both — and only the handedness betrays it: swinging from the long arm to the short arm runs anticlockwise on the mirror where every tile in the grid runs clockwise. Reflection distractors are supplied deliberately, and they are built to survive a glance and fail a check.
So on any grid with a turning figure, test the options by handedness first. It rejects every mirror in one step, with nothing rotated mentally, and it is immune to the corner trap: two different orientations can put the corner in the same place — sample question 3's Cards 3 and 4 both sit in the bottom right — and only following the arms tells them apart.
A clear route
How to prepare in the days you have
Matrix preparation is short and specific. Learning the rule families is most of it.
- 1
First, learn the rule families one at a time. Progression, distribution, rotation, overlay, movement. Work untimed on grids using only one, until you can name it within a few seconds.
- 2
Next, move to two-rule grids. Almost every real item stacks two. Practise stating both before choosing, and treat a single-rule answer as an incomplete answer.
- 3
Fix the attribute scan. Run the same checklist on every grid until it is automatic. Consistency is what prevents the missed-change error.
- 4
Add the per-item clock. If your assessment is Adaptive Matrigma, practise with a one-minute ceiling per grid so that abandoning becomes a decision rather than a panic.
- 5
Rehearse on unseen items. Repeating known grids inflates your sense of readiness and does nothing for an adaptive item bank.
Cognivy uses your assessment date to choose the route rather than asking you to predict a study schedule. When you sit down to practise, you choose the session length that fits that day.
Pace
Getting faster without losing accuracy
On a per-item clock, speed is about deciding when to stop rather than about scanning faster.
- Predict before you read the options. It is faster overall, and it removes the pull of an attractive wrong figure that satisfies one of the two rules.
- Use the options to test, not to browse. Once you have a prediction, one pass through the options is enough. Needing a second pass usually means the prediction was not specific.
- Abandon at your ceiling. With a one-minute limit per item, a grid you have not started in fifteen seconds is unlikely to resolve in the remaining forty-five. Choose the best fit and move.
- Practise the checklist, not the puzzles. The transferable skill is the attribute scan. Grids you have memorised transfer nothing to an adaptive item bank.
Direct answers
Matrix reasoning test FAQs
A grid of figures, usually three by three, with one cell missing. You infer how the figures change across the rows and down the columns, then choose the option that satisfies both directions. Pearson describes its Raven's Adaptive assessment as three-by-three geometric designs with a piece missing, chosen from a set of eight.
Raven's is a specific published family of matrix tests, now part of Pearson's range. Matrix reasoning is the general format that Raven's made familiar, and other publishers use the same grid shape with their own items — Assessio with Matrigma, Aon with gapChallenge. Cognivy prepares you for the format and is not affiliated with any of them.
Short. Assessio gives Adaptive Matrigma a one-minute limit per question inside a twelve-minute total, and lists a less common classic version at 40 minutes. Pearson lists Raven's Adaptive at 15 items in approximately 12 minutes.
Assessio reports Matrigma as a general mental ability score on a nought-to-ten C-scale, grounded in the g-factor and fluid intelligence and interpreted against a norm group. It uses a single non-verbal format rather than the broad multi-domain battery a consumer IQ test uses.
What you can work on directly is the process: recognising the rule families quickly, checking both directions, and abandoning an item before it consumes the clock. Cognivy does not claim that practice raises an underlying ability score, and no provider reviewed here publishes such a claim.
There is no universal figure. Assessio interprets its C-score against a norm group, and no provider reviewed here publishes a pass mark. Any threshold is set by the employer for the role.
Some matrix assessments are adaptive. Matrigma and Raven's Adaptive select later items in response to your answers, so the difficulty can rise as you answer correctly. You still cannot read your score from how hard the grids feel, so treat rising difficulty as normal behaviour rather than as feedback. Other matrix assessments use a fixed sequence, so follow the instructions for the product named in your invitation.
No. Cognivy is independent and is not affiliated with or endorsed by Assessio, Pearson or any other provider. Every practice grid is original material built to teach the rule families and the checking discipline.