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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?

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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.

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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?

The School Trip

Age 5 to 7 Challenge Level:

Lewis was packing his bag for a school trip. He packed four tops, two pairs of jeans and a pair of shorts.

"I will be able to have a different outfit each day," Lewis said to his mother.

Image of clothes.

What is the most number of days that he can be away for, on the trip?