### Homes

Six new homes are being built! They can be detached, semi-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?

# Name the Children

##### Age 5 to 7Challenge Level

Eight children from Blue Class were ready for games early. Their names, in alphabetical order, were Ali, Baxter, Chris, Danny, Ella, Fred, Greta and Helen. They stood (not in alphabetical order) by the edge of the field watching Red Class playing football.
Can you name the children using the five clues below?

1. Ella and Fred have fair hair.
2. Ali, Baxter and Greta have black hair.
3. Ali, Chris, Danny, Ella and Fred all have special red shirts for games.
4. Baxter and Ella are taller than the others.
5. Ali, Chris and Helen are shorter than the others.