Matrix Fill

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How to Play

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1. A partially filled matrix is shown with one cell missing.

2. Identify the rule for each row and each column.

3. Select the answer that satisfies both the row and column rules.

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Expert Tips

Rows then columns: Find the row rule first, then verify with the column rule — the intersection is always unique.

Eliminate outliers: Dismiss obviously wrong options immediately so you can reason with fewer candidates.

Goal

A grid of numbers has one cell marked ?. Find the rule governing the rows and columns and select the correct missing value.

Approach

Check if rows or columns sum, multiply, or follow an arithmetic rule.
Look for diagonal or positional patterns.
Eliminate wrong answers by testing each option against the rule.

Tip

Start with the row or column that has the most numbers filled in — it gives you the most clues to deduce the rule.

Why this sharpens your mind

Spatial-Numerical Reasoning

Combining grid position with number patterns forces both hemispheres to cooperate — left-brain logic with right-brain spatial awareness.

Systematic Deduction

Testing and eliminating candidate rules trains structured reasoning, the foundation of analytical thinking used in maths, coding, and science.

Concentration

The grid demands sustained, focused attention — you cannot solve it with peripheral glances. This trains the ability to maintain deep focus on a single task.