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

I Like to Prove It!

Mathematicians aren't usually satisfied with looking at a few examples and spotting patterns. That is just the start! They will form conjectures based on their noticings and they will want to know whether their conjectures are always true. The tasks in this feature give you the chance to identify patterns, make conjectures and then create mathematical arguments that will be convincing to mathematicians!

You may also like to take a look at our Shape Your Proof feature which gives you tasks for a similar purpose but in the context of number.

Even and Odd

Age 5 to 7
Challenge Level Yellow star
This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

Two Numbers Under the Microscope

Age 5 to 7
Challenge Level Yellow star
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Next-door Numbers

Age 5 to 7
Challenge Level Yellow star
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

Strike it Out

Age 5 to 11
Challenge Level Yellow star
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Unravelling Sequences

Age 7 to 11
Challenge Level Yellow star
Can you describe what is happening as this program runs? Can you unpick the steps in the process?

An Easy Way to Multiply by 10?

Age 7 to 11
Challenge Level Yellow star
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

Take Three Numbers

Age 7 to 11
Challenge Level Yellow star
What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Neighbourly Addition

Age 7 to 14
Challenge Level Yellow star
I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

Three Neighbours

Age 7 to 14
Challenge Level Yellow starYellow star
Take three consecutive numbers and add them together. What do you notice?

You may also like

Digging Into Geometry

Dig deeply into geometrical ideas by having a go at the tasks in this Primary student feature.

Playing with Dice

Find a friend and play our dice games.

LP Student Latest

Latest list for the L Primary Students

  • 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