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For younger learners

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Mixed-up Socks

Age 5 to 7
Challenge Level Yellow starYellow star
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You could print out this sheet of six socks and colour them different colours, then group them in pairs.
Remember each pair must be different so you can't have, for example, one blue and one green in one pair and then another blue and another green in a second pair.

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Homes

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

Stairs

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

Train Carriages

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

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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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