Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Planning Ahead


This collection of activities is intended to encourage you to think and plan strategically. We are offering you a variety of playful contexts in which you will be challenged to think ahead and analyse the outcomes. 

Last Biscuit

Age 11 to 18
Challenge Level Yellow starYellow star
Can you find a strategy that ensures you get to take the last biscuit in this game?

Crossing the Bridge

Age 11 to 18
Challenge Level Yellow starYellow star
Four friends must cross a bridge. How can they all cross it in just 17 minutes?

Phiddlywinks

Age 7 to 18
Challenge Level Yellow star
Have a go at this version of John Conway's game. Do you have any good strategies for winning?

Secondary Games and Puzzles for Summer 2021

Age 11 to 16
Every week day from 19 July to 31 August 2021, we published a new challenge or game, designed to encourage strategic thinking.

Phiddlywinks - a Tribute to John Conway

Age 7 to 18
Read this article to find out more about the inspiration for NRICH's game, Phiddlywinks.

You may also like

Making Sense of Statistics

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

The Value of Working Systematically

These problems are best solved using systematic approaches.

Integration as Area

These problems invite you to explore integration as area, and use area integrals to solve problems.

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

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.

University of Cambridge logo NRICH logo