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NVR techniques 5 min read · 2026-07-12

11+ Non-Verbal Reasoning: Matrices (3×3 grids) — method and traps

How to solve matrices (3×3 grids) questions in the 11+ NVR paper: a systematic method, the classic traps, and free practice sets.

Matrices (3×3 grids) is one of the standard non-verbal reasoning patterns in GL-style 11+ papers. Complete the missing tile of a grid. NVR rewards method over talent more than any other 11+ subject — children who learn to interrogate shapes systematically routinely overtake 'naturally spatial' peers who guess.

What the question looks like

Complete the missing tile of a grid. Expect several per paper; in reasoning-only regions such as Lincolnshire, NVR carries half the total marks.

The method

Find the row rule and the column rule separately, then require the answer to satisfy both. If rows are unclear, try diagonals — some papers use them.

The traps

Solving from the row only; ignoring a counting rule (number of shapes) hidden under a style rule.

How to practise this type

Do this type in short, focused bursts — ten questions, mark, review every error out loud ('what property did I miss?'). Our free NVR worksheet sets isolate each pattern, the full NVR types list maps the territory, and timed mock papers knit the types back together at exam pace.

Practise matrices (3×3 grids) free →