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Homes

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?

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?

Mixed-up Socks

Age 5 to 7
Challenge Level

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair.

Socks

Now try it with four pairs of socks. Is there more than one way to do it?

 

Click here for a poster of this problem.

Printable NRICH Roadshow resource.