Matrix rules

Strategy card

Matrix reasoning is systematic rule induction across two dimensions.

Step 1: Decompose each cell into features.
Step 2: Test rule types for each: constant, progression, distribution of three, combination.
Step 3: Derive the missing cell feature by feature.
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?

A: big outlined red diamond
B: big striped purple diamond
C: outlined purple diamond
D: big outlined purple diamond (the answer)
E: big outlined blue diamond

Why: Each row keeps its own size (small, medium, big, top to bottom). Every row has one of each color (purple, red, blue), so the last row needs the one that is missing. Every row has one of each fill (outlined, striped, solid), so the last row needs the one that is missing. So the missing figure is the big outlined purple diamond.

Your turn

Your turn 1 of 3

Which figure completes the matrix?

Your turn 2 of 3

Which figure completes the matrix?

Your turn 3 of 3

Which figure completes the matrix?

Keep practicing

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

Next lesson: Paper folding