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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?

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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?

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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?

Red Express Train

Age 5 to 7 Challenge Level:

The Red Express Train usually has five red carriages, but so many people wanted to catch it one weekend the station manager had to add two blue carriages.

the old train

At first she thought to put them both on the end, then at the front, then one on each end - but wasn't happy with any of those. So she thought about other ways to put the blue carriages into the train. How many ways can you find?

some possibilities