Seeing is Believing

Some problems become much clearer when you find a good image to represent them, and some mathematical results can be proved beautifully with just a simple diagram.

We hope you will find plenty to inspire you here to draw your own diagrams as well as using our images to discover relationships and make connections.


This activity begins by inviting you to add pairs of consecutive numbers. What is the same about all the answers? Can you explain what is happening?


Dodecagon dissection

Grab a ruler, paper and scissors, construct a dodecagon, and cut it up. Can you reassemble it in a way to help you find its area?


Chocolate and Numbers

In this collection of activities, we invite you to create pictures or diagrams to represent numbers. Get your teeth into our chocolately challenges first!

Check it out

If you play chess or draughts, you'll be familiar with a chessboard, but a checked pattern can be used for so much more than playing board games...

Beyond Dominoes

A domino is made up of two squares joined together edge to edge. But what if we add more squares? Explore triominoes, tetrominoes, pentominoes and beyond!

Move it to prove it

Sometimes, all you need to do to prove a mathematical result is look at it in the right way. Explore these tasks to see how moving shapes can help you to prove results.

Centred Shapes

Centred Shapes are made by building up a pattern of dots in a certain shape. Explore how centred shapes can fit together, and see how many patterns you can find!

Picture This

This collection of articles and videos explores how finding the right picture makes it easier to follow challenging mathematical ideas.