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Representing and Comparing Quantities

In order to make sense of mathematical ideas, students need to have a good grasp of the different ways in which numbers are used and represented. This feature offers activities designed to develop students' understanding of fractions, decimals, percentages and standard form. We hope the engaging card-matching games will offer opportunities to develop fluency, and the investigations will lead to useful insights and deeper understanding.

Terminating or not
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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
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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
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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
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Place value and powers

Age
11 to 18
These problems are designed to help students develop an appreciation for the importance of place value and powers.
Compare to Pair
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Compare to Pair

Age
5 to 11
This feature offers interactive 'matching pairs' games which will help learners understand equivalence in a variety of contexts.