Out on the web · NRICH · University of Cambridge

NRICH Maths 🧩

Real mathematicians' puzzles from Cambridge University. Start where it feels easy, then climb — there's no ceiling here, and being stuck is part of the fun.

It's free. ↗ = opens a new tab. Try the foundation first, then reach higher.

Start here · foundation

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Primary Problems ↗

Number, shape, patterns and games — the maths you already know, made into puzzles. A gentle, friendly start.

Warm up →

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Thinking Mathematically ↗

Not about answers — about how to explore: notice, try, get stuck, try again. The real skill behind every puzzle.

Learn to explore →

Reach higher · stretch yourself

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Secondary Problems ↗

For older students — and that's the point. Big-kid maths to grow into. Pick one that looks hard and have a go anyway.

Climb higher →

Attitude · how a mathematician thinks

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Mathematical Mindset ↗

Mistakes help your brain grow. Being stuck means you're learning. Patience beats speed. The mindset that makes maths fun.

Build your mindset →

Live problems · solve something brand new

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Live Problems (Primary) ↗

Open problems with no answer published yet — you can send in your own solution and become a real problem-solver.

Try a live one →

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Live Problems (Secondary) ↗

Tougher live challenges to peek at and grow into. No rush — see how far you can get.

Dare yourself →