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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?

Briefcase Lock

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

Josh from Befordshire says:

There are six combinations possible. Because there are three different numbers, you multiply $3$ by $2$ and then by $1$, which makes $6$.

Joshua says:

I think the answer is six combinations and how I did it was I wrote down all the correct combinations:







Jianmin (Henry Park Primary, Singapore) agrees with six combinations, using $3$ x $2$ x $1$.