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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?

Jumping Cricket

Age 5 to 7 Challenge Level:

El Crico the cricket has to cross a square patio to get home. He likes to jump along the lines made by the sides of the tiles.

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He can jump the length of one tile. He can jump the length of two tiles. If he tries hard he can even jump the length of three tiles.

Here's one path where he could make four jumps to get home - 1, 2, 2, 1

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Can you find a path that would get El Crico home in three jumps?
Can you find all the paths of three jumps?