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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?

Coloured Squares

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2
Which square could be blue? How do you know?
How does the second clue help?
Try colouring the squares, or use coloured counters. Does your arrangement fit the clues?