### 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?

# Triangle Edges

##### Stage: 1 Challenge Level:

Lucy from Avoca Beach, Australia wrote to say:

I made triangles using red, green and blue sticks. Red was 3cm, green was 4cm and blue was 5cm.These are all my triangles:
333 334 335 444 344 445 555 554 355 345
There are ten different triangles.

Ruth from Swanbourne House School gave us a little more detail about the triangles:

3 equilateral triangles where all sides are equal (3x3cm, 3x4cm and 3x5cm).
1 right angled triangle, with 1x3cm, 1x4cm and 1x5cm rod.
The other 6 were isoceles triangles, where two of the sides were equal.

Thank you to both of you.