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NVR techniques 5 min read · 2026-07-12

11+ Non-Verbal Reasoning: Counting sides and elements — method and traps

How to solve counting sides and elements questions in the 11+ NVR paper: a systematic method, the classic traps, and free practice sets.

Counting sides and elements is one of the standard non-verbal reasoning patterns in GL-style 11+ papers. Count sides, dots, intersections or regions. 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

Count sides, dots, intersections or regions. Expect several per paper; in reasoning-only regions such as Lincolnshire, NVR carries half the total marks.

The method

Count in a fixed direction with your pencil marking each counted element. For regions, shade as you count. Never trust a first-glance count on anything over six elements.

The traps

Double-counting shared sides; missing tiny regions in dense figures.

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 counting sides and elements free →