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### Take one example

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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### Two numbers under the microscope

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

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### Odd times Even

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

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### Walking round a triangle

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?

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### Take three numbers

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

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### Square subtraction

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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### Round a hexagon

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

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### Three neighbours

Take three consecutive numbers and add them together. What do you notice?