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: striped blue arrow pointing left
B: 3 striped blue arrows pointing right
C: 3 striped blue arrows pointing left (the answer)
D: 3 blue arrows pointing left
E: 3 striped blue arrows pointing down

Why: Each row keeps its own direction (pointing right, pointing down, pointing left, top to bottom). Each column keeps its own number of shapes (1, 2, 3, left to right). 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 3 striped blue arrows pointing left.

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