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Whole Numbers Only

Age 11 to 14
ShortChallenge Level Yellow starYellow star
Secondary curriculum
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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.

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Squaring the Circle

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.

Interstellar

What number could replace * so that */5 is between 3 and 4?

All in a Jumble

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

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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