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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?


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?

Teddy Bear Line-up

Age 5 to 7 Challenge Level:

You could start with two bears of each colour to see whether you can find a way.
Have you got a good idea about how to move the bears?
Which bear could you move next?
How do you know how many moves you have made?
How will you remember the moves you have made?