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A square patio was tiled with square tiles all the same size. Some of the tiles were removed from the middle of the patio in order to make a square flower bed, but the number of the remaining tiles was still a square number. What were the dimensions of the patio and the flower bed?

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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?

Cola Can

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?