### 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?

### 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?

### Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

# The School Trip

### Why do this problem?

This activity could be a good one to introduce children to look for combinations in an organised way having previously gone about it randomly.

### Possible approach

It would be good to start this off altogether having some from of display that could be moved about to put combinations together.

This sheet has pictures of the clothes. It can be photocopied, coloured and cut out to help make the different outfits.

### Key questions

Tell me which trousers you could wear with this shirt.
Tell me which shirt you could wear with these trousers.
How many different outfits use these trousers?

### Possible extension

Extensions could be suggested by the children themselves - if not encourage ideas like "what would happen if he had one more top to take with him?"

### Possible support

Some pupils may need to work closely with an adult in order that a check can be made that there are no duplications.

This sheet has pictures of the clothes. Itcan be photocopied, coloured and cut out to help make the different outfits.