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

KS3 and 4 resources to develop good mathematical habits of mind


Have you been inspired by the Roadshow activities?

Want to become a more curious, resourceful, resilient and collaborative mathematician?

We've collected together some of our favourite problems to help you along the way.


Age 11 to 14
Challenge Level Yellow star

Being Curious - Secondary Students

Here are some problems that we hope will appeal to curious and inquisitive students. Take a look, we think you'll get hooked on them!

Age 11 to 14
Challenge Level Yellow star

Being Resilient - Secondary Students

Here are some problems that require you to be resilient. We hope you'll stick with them and feel a sense of achievement at the end!

Age 11 to 14
Challenge Level Yellow star

Being Resourceful - Secondary Students

Here are some problems that require careful consideration. Immerse yourself in them - we think they are worth the effort!

Age 11 to 14
Challenge Level Yellow star

Being Collaborative - Secondary Students

Here are some problems that are ideal for working on with others. Find a friend, share ideas, and see if two heads really are better than one!





If you've enjoyed working on these problems, you may like to take a look at Wild Maths, where you'll be encouraged to be a creative mathematician.




  • 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