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!
problem
Favourite
Same length
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?
problem
Impossible picture?
Age
14 to 16
Challenge level
Under what circumstances can you rearrange a big square to make three smaller squares?
problem
Favourite
Shopping basket
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?
problem
Favourite
Iff
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?
list
Inverse problems
Age
14 to 18
Challenge level
If you know the output, how can you work out the input?