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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?

Leap Frog

Age 5 to 7 Challenge Level:
What could you do first?
What could happen next?
How will you remember what you've done?
You might find it useful to draw five circles on a piece of paper to represent the lily pads and use two counters for the frogs.