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Matrix rules

Strategy card

A matrix item combines independent rules across rows and columns.

  1. Step 1: Separate features: shape, color, fill, size, number, position.
  2. Step 2: For each feature, find its rule (constant, progression, one-of-each).
  3. Step 3: Combine the rules to describe the missing cell.
  4. Step 4: Eliminate options that break even one rule.

Tip: Distractors are usually one feature off. Check every feature.

Worked example

Which figure completes the matrix?

blue arrow pointing left
striped blue arrow pointing up-left
outlined blue arrow pointing up
striped blue arrow pointing left
outlined blue arrow pointing up-left
blue arrow pointing up
outlined blue arrow pointing left
blue arrow pointing up-left
question mark, the missing picture?
  • A: outlined blue arrow pointing up
  • B: striped blue arrow pointing up (the answer)
  • C: striped blue arrow pointing up-left
  • D: striped blue arrow pointing left
  • E: 4 outlined blue arrows pointing up

Why: Every row has one of each fill (solid, striped, outlined), so the last row needs the one that is missing. Each column keeps its own direction (pointing left, pointing up-left, pointing up, left to right). So the missing figure is the striped blue arrow pointing up.

Your turn

Your turn 1 of 3

Which figure completes the matrix?

purple square
2 purple squares
3 purple squares
blue square
2 blue squares
3 blue squares
green square
2 green squares
question mark, the missing picture?

Your turn 2 of 3

Which figure completes the matrix?

outlined purple arrow pointing down
purple arrow pointing down
striped purple arrow pointing down
purple arrow pointing left
striped purple arrow pointing left
outlined purple arrow pointing left
striped purple arrow pointing up
outlined purple arrow pointing up
question mark, the missing picture?

Your turn 3 of 3

Which figure completes the matrix?

small yellow circle
green circle
big red circle
small green circle
red circle
big yellow circle
small red circle
yellow circle
question mark, the missing picture?

Keep practicing

Grown-ups: Ask your child to build their own 3×3 puzzle. Parent guide

Next lesson: Paper folding