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

From Competitive to Collaborative

Each of the three games below has been structured in the same way. We introduce each one as a competition, which can often be motivating for children and 'hook' them in. The competitive element provides a need to understand and apply the underlying mathematics.  Once learners have become immersed in the game and are fluent with the rules, we then make a shift from the competitive environment to a collaborative context. The collaborative situation provides the opportunity to pose specific questions relating to the game and therefore a 'reason to reason'. If children are working together on a challenge, there is a need to articulate their thinking and justify their choices to each other.

These three games are independent of each other so the order in which you try them does not matter. Each one can be used to develop any or all of the five strands of the rope model (understanding, skills, problem solving, reasoning and attitude), but the collaborative version particularly lends itself to fostering a positive attitude as learners' resilience may be tested!

(Almost any game can be structured in this way. You may like to browse our collection of primary games with this in mind.)

Factors and Multiples Game

Age 7 to 16
Challenge Level Yellow star

A game in which players take it in turns to choose a number. Can you block your opponent?

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.

Less Is More

Age 7 to 11
Challenge Level Yellow star

Use your knowledge of place value to try to win this game. How will you maximise your score?

  • 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