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

Your Solutions

Take a look at these recently solved problems.

Eightness of Eight

Age 5 to 7
Challenge Level Yellow star

What do you see as you watch this video? Can you create a similar video for the number 12?

If the World Were a Village

Age 5 to 11
Challenge Level Yellow star

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

Seeing Parallelograms

Age 7 to 11
Challenge Level Yellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Open Boxes

Age 7 to 11
Challenge Level Yellow starYellow star

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

Seeing Rhombuses

Age 7 to 11
Challenge Level Yellow starYellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Two Clocks

Age 7 to 11
Challenge Level Yellow starYellow star

These clocks have only one hand, but can you work out what time they are showing from the information?

Dice in a Corner

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

You may also like

Your Solutions!

  • 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