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There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

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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.

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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?

Mixed-up Socks

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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.