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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?

A City of Towers

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

You could draw the houses on squared paper or make them with cube bricks.
How will you know you have found all the different houses?
You could start by finding all the houses for four people, then five people etc.