List

Comparing and Matching

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.

Terminating or not
problem
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Terminating or not

Age
11 to 14
Challenge level
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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?
Standard Index Form Matching
problem
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Standard index form matching

Age
14 to 16
Challenge level
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Can you match these calculations in Standard Index Form with their answers?
Tiny Nines
problem
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Tiny nines

Age
14 to 16
Challenge level
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What do you notice about these families of recurring decimals?
Repetitiously
problem
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Repetitiously

Age
14 to 16
Challenge level
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Can you express every recurring decimal as a fraction?
Placeholder: several colourful numbers
list

How numbers behave

Age
11 to 14
By exploring these problems you'll gain a greater appreciation of the importance of place value.
Matching Pairs
list

Matching Pairs

Age
5 to 11
The matching pairs games in this feature give you the chance to compare amounts represented in different ways.