### 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?

# Late Again

##### Age 5 to 7 Challenge Level:

David from Thomas Reade School sent in the following solution:

The shortest route is forward $1$, right $1$, forward $6$ and right $3$ which is $11$ spaces.
Another way is forward $1$, right $4$ and forward $6$ which is $11$ spaces.
Another way is forward $3$, right $4$ and forward $4$ which is $11$ spaces.

(This assumes that Moira is standing just outside the school gate and finished standing outside the school doors.) Thank you David.