CAT4 Figure Matrices sample practice questions






CAT4 Figure Matrices Practice Tests: Samples & Strategies






CAT4 non-verbal reasoning

CAT4 Figure Matrices Practice Tests: Free Samples and Expert Strategies

Learn how CAT4 Figure Matrices work, use a free sample, follow a reliable step-by-step method and avoid the visual-rule mistakes that cost pupils marks.

Free PDF sampleExisting SET download retained
6-step methodFrom grid scan to final check
Levels A–GAge-appropriate guidance
Expert-ledWritten by a psychometrician
Question type explained

What are CAT4 Figure Matrices questions?

Figure Matrices present a visual grid with one figure missing. Pupils identify the rule connecting the visible figures across a row, column or both, then choose the option that completes the matrix.

What the subtest measures

  • Pattern recognition
  • Visual comparison
  • Rule induction
  • Mental transformation
  • Attention to relevant detail
  • Ability to reject partial matches

Why pupils find it difficult

  • Several visual features may change together
  • A distractor may satisfy only part of the rule
  • Rules can work horizontally and vertically
  • Rotation and reflection are easily confused
  • Pupils may rely on appearance rather than logic
Important correction: Figure Matrices belongs to the CAT4 non-verbal reasoning battery, alongside Figure Classification. Figure Analysis and Figure Recognition form the spatial battery.

Start with a real sample

Free CAT4 Figure Matrices sample

Use the existing SET sample without timing first. Ask the pupil to explain the rule before discussing the answer options.

Free PDF

CAT4 Figure Matrices sample questions

Open the existing School Entrance Tests Figure Matrices sample in a new tab.

Open Figure Matrices sample

Full practice

Broader CAT4 preparation

Use wider CAT4 practice after the pupil understands the Figure Matrices method and can apply it independently.

View CAT4 preparation

Step-by-step strategy

How to solve CAT4 Figure Matrices

The strongest method separates visual features before combining them into a complete rule.

Scan the grid structure

Decide whether the rule is most likely operating from left to right, top to bottom, or in both directions.

List the changing features

Check count, shape, position, direction, rotation, size, shading, colour and overlap separately.

Describe the transformation

State the rule precisely: for example, “the shape doubles”, “the figure rotates 90 degrees clockwise” or “the third box combines the first two”.

Test the rule elsewhere

A valid rule should explain every completed row or column, not only one convenient pair.

Predict before viewing options

Form a mental description of the missing figure before answer choices create distraction.

Check every relevant feature

Confirm number, orientation, shading and arrangement. Reject options that satisfy only part of the rule.

Visual rule library

Common Figure Matrices rules

Rotation

A shape turns by a fixed angle, commonly 45, 90 or 180 degrees.

Increase or doubling

The number of shapes increases, decreases or doubles across the row.

Movement

A shape moves between corners, edges or central positions.

Shading change

Shading alternates, transfers, increases or follows a position rule.

+

Combination

The third figure combines selected features from the first two.

Subtraction

Shared elements disappear while unique elements remain.

Reflection

The figure mirrors across a vertical, horizontal or diagonal axis.

Shape substitution

One shape consistently replaces another while position or number stays fixed.

AB

Alternation

Two rules alternate across successive boxes or rows.

Worked-example logic

How to explain a Figure Matrices answer

A useful explanation should identify the transformation, apply it to the incomplete row and then test all relevant visual features.

Example reasoning

  1. In the completed row, one triangle becomes two triangles.
  2. The orientation and colour remain unchanged.
  3. The rule is therefore “duplicate the complete figure”.
  4. Apply the same rule to the lower-left figure.
  5. The correct answer must double every element while preserving colour and orientation.

Why distractors look plausible

  • Correct number but wrong orientation
  • Correct shape but missing colour
  • Correct elements but separated incorrectly
  • Only one component doubled
  • Rule applied in the wrong direction
Best review question: “Which exact feature makes the wrong option fail?” This encourages complete rule checking rather than visual guessing.

Error diagnosis

Common CAT4 Figure Matrices mistakes

MistakeWhy it happensBetter strategy
Choosing the most similar-looking optionThe pupil uses overall resemblance rather than identifying a rule.Describe the transformation before checking options.
Checking only one featureAn option has the right count but wrong orientation or shading.Use a fixed checklist: count, shape, position, direction, shading.
Assuming the rule is horizontalThe pupil ignores evidence in the columns.Test both row and column relationships.
Confusing rotation with reflectionBoth change orientation but in different ways.Track a distinctive corner or asymmetrical feature.
Overcomplicating a simple ruleThe pupil invents several unnecessary transformations.Prefer the simplest rule that explains the entire matrix.
Rushing into answer optionsDistractors shape the pupil’s reasoning.Predict the missing figure first.

Age-appropriate practice

Figure Matrices practice by CAT4 level

School yearTypical levelPractice emphasisSET guide
Year 4Level ASingle-feature rules, simple movement and basic count changes.Year 4 guide
Year 5Level BClear row transformations and two-feature comparisons.Year 5 guide
Year 6Level CMixed visual rules, combinations and gradual timing.Year 6 guide
Year 7Level DSystematic feature tracking and rejecting partial matches.Year 7 guide
Year 8Level EMulti-feature rules, rotation, reflection and efficient checking.Year 8 guide
Years 9–10Level FComplex transformations and rules operating in two directions.Year 10 guide
Year 11+Level GAdvanced combinations, close distractors and strict pacing.Year 11 guide

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Expert author

Figure Matrices guidance from a Chartered Psychologist

Rob Williams is a Chartered Psychologist, Associate Fellow of the British Psychological Society and psychometric test designer with more than 25 years of experience. His guidance focuses on valid familiarisation, independent reasoning and careful error diagnosis.

Learn more about Rob Williams Assessment

Frequently asked questions

CAT4 Figure Matrices questions answered

What are CAT4 Figure Matrices?
They are non-verbal reasoning questions in which pupils identify the visual rule connecting figures in a grid and select the missing figure.
Which CAT4 battery contains Figure Matrices?
Figure Matrices is part of the non-verbal reasoning battery, alongside Figure Classification.
What skills do Figure Matrices measure?
They assess visual comparison, pattern recognition, rule induction, transformation and attention to relevant detail.
How should a pupil solve Figure Matrices?
Scan the grid, separate the changing features, describe the transformation, test the rule across the matrix, predict the answer and then check every relevant feature.
Should Figure Matrices practice be timed?
Begin without timing. Add short time limits after the pupil can identify and explain the rule accurately.
What are the most common Figure Matrices rules?
Common rules include rotation, movement, increase or decrease, combination, subtraction, reflection, substitution, shading changes and alternation.
Why do pupils choose plausible wrong answers?
Many distractors satisfy one feature of the rule but fail another, such as having the correct number of shapes but the wrong orientation or shading.
Can practice improve Figure Matrices performance?
Practice can improve familiarity, systematic checking and confidence, especially when errors are reviewed by identifying which part of the rule was missed.




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