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Matrix rules

Strategy card

Matrix reasoning is systematic rule induction across two dimensions.

  1. Step 1: Decompose each cell into features.
  2. Step 2: Test rule types for each: constant, progression, distribution of three, combination.
  3. Step 3: Derive the missing cell feature by feature.
  4. Step 4: Eliminate options systematically; confirm the survivor against every rule.

Tip: Write a mini-table of features if you get stuck; it makes hidden rules visible.

Worked example

Which figure completes the matrix?

small red heart
outlined red heart
big striped red heart
small red diamond
outlined red diamond
big striped red diamond
small red triangle
outlined red triangle
question mark, the missing picture?
  • A: big striped red diamond
  • B: big outlined red triangle
  • C: striped red triangle
  • D: big striped red triangle (the answer)
  • E: big striped red heart

Why: Each column keeps its own size (small, medium, big, left to right). Each row keeps its own shape (heart, diamond, triangle, top to bottom). Each column keeps its own fill (solid, outlined, striped, left to right). So the missing figure is the big striped red triangle.

Your turn

Your turn 1 of 3

Which figure completes the matrix?

outlined yellow arrow pointing right
2 outlined yellow arrows pointing down
3 outlined yellow arrows pointing left
outlined yellow arrow pointing left
2 outlined yellow arrows pointing right
3 outlined yellow arrows pointing down
outlined yellow arrow pointing down
2 outlined yellow arrows pointing left
question mark, the missing picture?

Your turn 2 of 3

Which figure completes the matrix?

blue heart
yellow diamond
red triangle
outlined blue diamond
outlined yellow triangle
outlined red heart
striped blue triangle
striped yellow heart
question mark, the missing picture?

Your turn 3 of 3

Which figure completes the matrix?

small yellow arrow pointing down
small yellow arrow pointing down-left
small yellow arrow pointing left
yellow arrow pointing down-left
yellow arrow pointing left
yellow arrow pointing down
big yellow arrow pointing left
big yellow arrow pointing down
question mark, the missing picture?

Keep practicing

Grown-ups: Discuss how scientists look for patterns in data tables. Parent guide

Next lesson: Paper folding