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Number and algebra

  • The Number System and Place Value
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Geometry and measure

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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

Freedom and Constraints

Freedom and Constraints


At first glance, these contexts might appear quite constrained, and you might think that there is not much to explore. Take the time to look deeper, and by pushing the boundaries you may discover some mathematically interesting results.


Combining Lengths 
Age 11 to 16
Challenge Level Yellow star

How many different lengths is it possible to measure with a set of three rods?

Climbing the Stairs 
Age 11 to 16

In how many ways can I get upstairs?

Going to the Cinema 
Age 11 to 16

A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?

You Can't Make an Omelette... 
Age 11 to 16

Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?

Related

  • Drawing Polygons
  • Exploring Area
  • Exploring Coordinates and Vectors
  • Exploring Distance

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Reasoning Geometrically

These resources are designed to get you thinking about geometrical reasoning.

Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

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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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