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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

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This problem looks at how one example of your choice can show something about the general structure of multiplication.

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This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

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This problem shows that the external angles of an irregular hexagon add to a circle.

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Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?