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.
problem
Matching fractions, decimals and percentages
Age
7 to 14
Challenge level
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
problem
Fractions and percentages card game
Age
11 to 16
Challenge level
Can you find the pairs that represent the same amount of money?
problem
Terminating or not
Age
11 to 14
Challenge level
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
problem
Standard index form matching
Age
14 to 16
Challenge level
Can you match these calculations in Standard Index Form with their answers?
problem
Tiny nines
Age
14 to 16
Challenge level
What do you notice about these families of recurring decimals?
problem
Repetitiously
Age
14 to 16
Challenge level
Can you express every recurring decimal as a fraction?
list
How numbers behave
By exploring these problems you'll gain a greater appreciation of the importance of place value.
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Matching pairs
The matching pairs games in this feature give you the chance to compare amounts represented in different ways.