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

Journeys of Discovery

Journeys of Discovery

Just because an idea has been around for centuries, it doesn't make it any less exciting when you discover it for yourself.  In this feature, we share situations involving maths which may be new to you, to take you on a journey of discovery. 
 

Triangle Transformation 
Age 7 to 14
Challenge Level Yellow star

Start with a triangle. Can you cut it up to make a rectangle?

Diminishing Returns 
Age 11 to 14
Challenge Level Yellow star

How much of the square is coloured blue? How will the pattern continue?

Mixing Paints 
Age 11 to 14
Challenge Level Yellow starYellow star

Can you work out how to produce different shades of pink paint?

Mixing More Paints 
Age 14 to 16
Challenge Level Yellow starYellow starYellow star

Can you find an efficent way to mix paints in any ratio?

Squaring the Rectangle 
Age 14 to 18
Challenge Level Yellow starYellow star

Can you find a way to turn a rectangle into a square?

Vanishing Point 
Age 14 to 18
Challenge Level Yellow starYellow star

How can visual patterns be used to prove sums of series?

Related

  • Look Again
  • New to You?

You may also like

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.

  • 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