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Number and algebra

  • The Number System and Place Value
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Probability and statistics

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Working mathematically

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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

The Problem-solving Classroom: Encouraging a Productive Disposition

This group of tasks, part of our feature The Problem-solving Classroom, is a good starting point for encouraging positive habits of mind: collaboration, determination, thoughtfulness and curiosity.

Inside Triangles

Age 5 to 7
Challenge Level Yellow star

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Thirsty?

Age 5 to 7
Challenge Level Yellow star

Can you lay out the pictures of the drinks in the way described by the clue cards?

Wallpaper

Age 5 to 7
Challenge Level Yellow starYellow star

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

If the World Were a Village

Age 5 to 11
Challenge Level Yellow star

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

Stringy Quads

Age 7 to 11
Challenge Level Yellow starYellow star

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

The Remainders Game

Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

Factors and Multiples Game

Age 7 to 16
Challenge Level Yellow star

A game in which players take it in turns to choose a number. Can you block your opponent?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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