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Time of Birth

A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?

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Small Change

In how many ways can a pound (value 100 pence) be changed into some combination of 1, 2, 5, 10, 20 and 50 pence coins?

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Take Ten Sticks

Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

Cola Can

Age 11 to 14 Challenge Level:

An cylindrical aluminium can contains
330 ml of cola.

If the can's diameter is 6 cm what is the can's height?

If the can's height was 10 cm what would the can's diameter have to be?

Which of these two cans uses the least aluminium?

If you could choose any diameter, which dimensions for a 330ml can would use the least amount of aluminium?