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### Number and algebra

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### Working mathematically

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### Advanced mathematics

# Stick at It!

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### What Does it Feel Like to Do Maths?

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When you get stuck, what strategies do you use to get unstuck? These problems will require some resilience and perseverance, so rise to the challenge, make good use of our hints, and see where determination can get you!

Age 11 to 16

Challenge Level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Age 14 to 16

Challenge Level

Under what circumstances can you rearrange a big square to make three smaller squares?

Age 11 to 16

Challenge Level

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Age 14 to 18

Challenge Level

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Age 11 to 18

Andrew Wiles, who famously proved Fermat's Last Theorem, talks about being a mathematician and dealing with being stuck.