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

Shape Your Thinking

Shape your Thinking

These activities will encourage you to think flexibly about shape, position and movement (geometry). 

'Thinking flexibly' could mean, for example, that you try another way when you get stuck. Perhaps you realise that a task can have more than one solution. Perhaps you check a solution using a different method; or perhaps you think flexibly to create a new problem like one you have just tried. 

Repeating Patterns 
Age 5 to 7
Challenge Level Yellow star

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Board Block 
Age 5 to 7
Challenge Level Yellow star

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Paper Partners 
Age 5 to 7
Challenge Level Yellow star

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Shadow Play 
Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Here are shadows of some 3D shapes. What shapes could have made them?

Tangram Tangle 
Age 5 to 7
Challenge Level Yellow starYellow starYellow star

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

Jig Shapes 
Age 5 to 11
Challenge Level Yellow star

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Tangrams 
Age 5 to 11
Challenge Level Yellow starYellow star

Can you make five differently sized squares from the interactive tangram pieces?

Tangram Browser 
Age 7 to 11

Explore our selection of interactive tangrams. Can you use the tangram pieces to re-create each picture?

Shape Draw 
Age 7 to 11
Challenge Level Yellow star

Use the information on these cards to draw the shape that is being described.

Always, Sometimes or Never? Shape 
Age 7 to 11
Challenge Level Yellow star

Are these statements always true, sometimes true or never true?

Guess What? 
Age 7 to 11
Challenge Level Yellow star

Can you find out which 3D shape your partner has chosen before they work out your shape?

Square Tangram 
Age 7 to 11
Challenge Level Yellow starYellow star

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

Stringy Quads 
Age 7 to 11
Challenge Level Yellow starYellow star

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Related

  • Shape, Position and Movement (Geometry)

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.

Playing with Dice

We're starting the school year with some of our favourite dice activities.

  • 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