Stick at it!
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!
Same Length Age 11 to 16
Challenge Level
Challenge Level
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Impossible Picture? Age 14 to 16
Challenge Level
Challenge Level
Under what circumstances can you rearrange a big square to make three smaller squares?
Shopping Basket Age 11 to 16
Challenge Level
Challenge Level
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Iff Age 14 to 18
Challenge Level
Challenge Level
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
What Does it Feel Like to Do Maths? Age 11 to 18
Andrew Wiles, who famously proved Fermat's Last Theorem, talks about being a mathematician and dealing with being stuck.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.