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

Can You Play Strategically?


This collection of games is intended to encourage you to think strategically. To become expert at each of the games, you'll need to think ahead, and test and modify your tactics as you go along.

The last day for sending in your thoughts and ideas is Thursday 8 July.

Double or Halve?

Age 5 to 7
Challenge Level Yellow star
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

Nim-7

Age 5 to 11
Challenge Level Yellow star
Can you work out how to win this game of Nim? Does it matter if you go first or second?

Totality

Age 5 to 11
Challenge Level Yellow star
This is an adding game for two players. Can you be the first to reach the target?

Daisy

Age 7 to 11
Challenge Level Yellow starYellow star
In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?

Latin Lilies

Age 7 to 14
Challenge Level Yellow star
In this game you are challenged to gain more columns of lily pads than your opponent.

Phiddlywinks

Age 7 to 18
Challenge Level Yellow star
Have a go at this version of John Conway's game. Do you have any good strategies for winning?

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