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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

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Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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These pictures show squares split into halves. Can you find other ways?


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

We had a couple of solutions, Sam sent in these pictures of four different squares to us:

smallest square

square from two red triangles

square from two red and one blue triangles

square from two green triangles

The fifth and largest square uses all the pieces as in the picture.

We had a solution sent in from Horatio at St Johns College School Cambridge

Thank you for these submitted solutions, well done!