### 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?

# Jigsaw Pieces

##### Stage: 1 Challenge Level:

Jigsaw puzzles have lots of different shaped pieces that all fit together without gaps. Most puzzle pieces have four sides with buttons added on to them or cut out of them similar to these:

Imagine that the puzzle pieces are roughly a rectangular shape and all the same size. They can have a button added on or taken out of the middle of any side.

How many different puzzle pieces could there be?

Have you got them all? Have you got any that are really the same?

Have you remembered the straight edges?