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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

A millilitre is one cubic centimetre.

Check that you can calculate the volume of a cylinder.

If the diameter is 6 cm, you can calculate the base area of the can.

If you know the base area you can find a height which will give you a specific volume ( 330 ml in this case)

Now start with a height (10 cm) and work your way back to a base area for a specified volume, then find a radius for that base area, and hence a diameter for the can.

What does least aluminium require ?

The top and base of the can are circles but how do you calculate the curved surface area ?