Square Numbers

If you can add, subtract and multiply, you'll be able to investigate square numbers and discover some famous results.

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What's Possible?

What is special about numbers that can be written as the difference of two squares?

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Playing with Powers

What happens when you add powers of numbers together? Charlie and Alison have been exploring. Can you explain their findings?

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Filling the Gaps

Charlie has been colouring in square numbers and sums of squares on different grid. There are interesting patterns to explore and explain...

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Generating Triples

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

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