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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?

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Stairs

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?

Four Colours

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2
How many faces on a cube?
How many small faces can you see on each of the larger faces?
How many small faces can you see on the larger cube?
How does this compare with the number of small faces there are altogether?
Can you explain what you notice?
How many faces of each of the smaller cubes will be visible on the larger cube?