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

Hewson's Heavyweights 1

Header for Heavyweights

A Long Time at the Till

Age 14 to 18
Challenge Level Yellow starYellow starYellow star

Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Build up the concept of the Taylor series

Earth Orbit

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Follow in the steps of Newton and find the path that the earth follows around the sun.

The Derren Brown Coin Flipping Scam

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

Catalyse That!

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?

Trig-trig

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Explore the properties of combinations of trig functions in this open investigation.

You may also like

Mathematical Issues for Chemists

A brief outline of the mathematical issues faced by chemistry students.

Mathematical Issues for Biologists

STEM students at university often encounter mathematical difficulties. This articles highlights the 8 key problems for biologists.

Preparing Students for STEM at University

This articles describes how school teachers can help to prepare students for STEM courses at university

  • 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