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Fractions and Percentages Card Game
Age 11 to 16
Challenge Level 
A useful strategy for working out percentages of quantities is to work out 10% first, and then use fractions or multiples of that amount.
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If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?
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Prove that the shaded area of the semicircle is equal to the area of the inner circle.