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

More Upper Primary Group Tasks

Once you've had a go at the activities to help you get better at group work, why not put your skills to good use while working on other problems? Although almost any NRICH activity could be tackled in a group, you may like to try these first.

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?

Sort Them Out (2)

Age 7 to 11
Challenge Level Yellow star

Can you each work out the number on your card? What do you notice? How could you sort the cards?

How Do You Do It?

Age 7 to 11
Challenge Level Yellow star

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

It's a Fence!

Age 5 to 11
Challenge Level Yellow star

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

Sorting the Numbers

Age 5 to 11
Challenge Level Yellow star

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

Counting Cogs

Age 7 to 14
Challenge Level Yellow starYellow star

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Planning a School Trip

Age 7 to 11
Challenge Level Yellow star

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

Counters in the Middle

Age 7 to 11
Challenge Level Yellow star

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

  • 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