Mathematicians often need to be able to compare numbers that might be expressed in different ways, and use these different representations in calculations. In this feature, we have chosen some games and activities which will challenge you to figure out when quantities are bigger, smaller, or a perfect match.

Please send us your solutions by Monday 23 March.

Challenge Level

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Challenge Level

Can you find the pairs that represent the same amount of money?

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Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

Challenge Level

Can you match these calculations in Standard Index Form with their answers?

Challenge Level

What do you notice about these families of recurring decimals?

Challenge Level

Can you express every recurring decimal as a fraction?