Remainders

When we divide, we're rarely interested in what's left over. In these problems and games, we invite you to take a closer look at remainders and learn about Modular Arithmetic, an important area of Number Theory.

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Lots of Lollies

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. But when they shared them with more friends, there were two left over...

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Charlie's Delightful Machine

Play with our interactive machine and see if you can work out how to switch each light on. Is there a way to turn on all four lights at once?

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A Little Light Thinking

Can you find rules for turning on pairs of lights, or even three or four lights?

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Take 3 from 5

In the video, Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can you figure out a way they could stop him?

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