Matrigma guide

Visual matrix reasoning · Worked explanations

Matrigma-style practice

Find the rules that connect a grid of shapes and choose the missing figure. Build your method without a clock, or practise making decisions under time pressure.

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  • Choose one of six answers, then select Next. You can also skip.
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This adaptive-style practice uses our own difficulty rules. It does not reproduce the official adaptive algorithm or predict an official score.

Try two examples before you start

These walkthroughs are untimed. Look for the rule, choose an answer in your head, then reveal the explanation.

Example 1

Which figure completes the matrix?

Row 1, column 1. bottom centre: outlined square; bottom right: outlined square.Row 1, column 2. bottom centre: outlined square; bottom right: outlined square.Row 1, column 3. top centre: outlined square; top right: outlined square; bottom centre: outlined square; bottom right: outlined square.Row 2, column 1. top centre: outlined square; bottom centre: outlined square; bottom right: outlined square.Row 2, column 2. top centre: outlined square; bottom centre: outlined square; bottom right: outlined square.Row 2, column 3. top left: outlined square; top centre: outlined square; top right: outlined square; middle right: outlined square; bottom centre: outlined square; bottom right: outlined square.Row 3, column 1. top centre: outlined square; bottom centre: outlined square; bottom right: outlined square.Row 3, column 2. top centre: outlined square; top right: outlined square; bottom centre: outlined square; bottom right: outlined square.
AOption A. top left: filled square; top centre: filled square; top right: filled square; centre: filled square; middle right: filled square; bottom centre: filled square; bottom right: filled square.
BOption B. top left: outlined circle; top centre: outlined circle; top right: outlined circle; centre: outlined circle; middle right: outlined circle; bottom centre: outlined circle; bottom right: outlined circle.
COption C. bottom centre: outlined square.
DOption D. top left: outlined square; top centre: outlined square; top right: outlined square; middle right: outlined square; bottom centre: outlined square; bottom right: outlined square.
EOption E. top left: outlined square; top centre: outlined square; top right: outlined square; centre: outlined square; middle right: outlined square; bottom left: outlined square; bottom centre: outlined square; bottom right: outlined square.
FOption F. top left: outlined square; top centre: outlined square; top right: outlined square; centre: outlined square; middle right: outlined square; bottom centre: outlined square; bottom right: outlined square.
Reveal the answer and method

Answer F

Count the marks; their layout is a counting aid. Add the first two counts to get the third. The complete rows show 2 + 2 = 4 and 3 + 3 = 6. The bottom row therefore gives 3 + 4 = 7. Keep the same shape and fill.

Example 2

Which figure completes the matrix?

Row 1, column 1. top right: outlined square; middle left: outlined square.Row 1, column 2. top right: outlined triangle pointing up; middle left: outlined triangle pointing up.Row 1, column 3. top right: outlined circle; middle left: outlined circle.Row 2, column 1. top right: outlined triangle pointing up; middle left: outlined triangle pointing up.Row 2, column 2. top right: outlined circle; middle left: outlined circle.Row 2, column 3. top right: outlined square; middle left: outlined square.Row 3, column 1. top right: outlined circle; middle left: outlined circle.Row 3, column 2. top right: outlined square; middle left: outlined square.
AOption A. top left: outlined triangle pointing up; centre: outlined triangle pointing up.
BOption B. middle right: outlined triangle pointing up; bottom left: outlined triangle pointing up.
COption C. top right: filled triangle pointing up; middle left: filled triangle pointing up.
DOption D. top right: outlined triangle pointing up; middle left: outlined triangle pointing up.
EOption E. top right: outlined circle; middle left: outlined circle.
FOption F. top right: outlined square; middle left: outlined square.
Reveal the answer and method

Answer D

The shapes cycle square → triangle → circle and then repeat, moving one step forward across a row or down a column. Every row and column contains each shape once. The bottom row and rightmost column both need triangles. Keep the positions and fill unchanged.

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