These problems have some challenging elements where you might get stuck. Don't worry, we've put in some helpful hints to get you unstuck again! So get stuck in, and stick to it - you may surprise yourself!

Challenge Level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Challenge Level

How good are you at estimating angles?

Challenge Level

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

Challenge Level

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

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