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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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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.

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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?

Whose Sandwich?

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

Why do this problem?

This problem requires logical thinking and would be a good context in which to discuss different ways of representing mathematics.

Key questions

What could you write down or draw to help?
What kind of sandwich did Jane order?

Possible support

It would help to talk to learners about what they could write or draw as they work on this problem. You could start just by listing all four children's name across the top of a piece of paper, for example, which might help some pupils get started.