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### Number and algebra

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### Working mathematically

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### For younger learners

# Whole Numbers Only

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### Squaring the Circle

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Age 11 to 14

ShortChallenge Level

- Problem
- Solutions

A student bought 17 pencils for £1.44. He paid 2 pence more for each coloured pencil than for each plain pencil. How many of each kind did he buy at what price?

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make an estimate.

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.