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

Being Playful, Becoming Engaged

Being Playful, Becoming Engaged

We have chosen these problems to inspire your learners to be playful, become engaged, and then think deeply about the mathematical contexts that underpin the activities.  Whether it's the start of your academic year or the beginning of a holiday, we hope there is something for everyone.

100 Square Jigsaw 
Age 5 to 7
Challenge Level Yellow star

Can you complete this jigsaw of the 100 square?

Times of Day 
Age 5 to 7
Challenge Level Yellow star

These pictures show some different activities that you may get up to during a day. What order would you do them in?

I Like ... 
Age 5 to 7
Challenge Level Yellow star

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

First Connect Three 
Age 7 to 11
Challenge Level Yellow star

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Calendar Sorting 
Age 7 to 11
Challenge Level Yellow star

The pages of my calendar have got mixed up. Can you sort them out?

Cubies 
Age 7 to 11
Challenge Level Yellow starYellow star

The scientists need your help to work out how many Cubies live on a small island! Use the cards to gather all the information you need.

Treasure Hunt 
Age 7 to 14
Challenge Level Yellow star

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Related

  • From Exploration to Explanation
  • Playing with Number
  • Playing with 2D Shape
  • 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