### 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?

### 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?

# Coloured Squares

##### Stage: 1 Challenge Level:

Daman at St.Joseph's School in Vancouver, Canada; David from Tithe Barn Primary School and Alice agreed on the answer to Coloured Squares. David explains how he tackled it:

I did this puzzle by working through the clues one by one. I used multilink to represent the colours and used pink instead of purple.

I thought at first that the order on one of the lines was: green, orange, blue. Then I knew that orange was underneath so I did that too. Then I knew that yellow was to the left of purple and orange so I altered it completely. I made the top row: red, blue, green and underneath: yellow, purple, orange. Here is the image that David sent: