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Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?


Age 5 to 11
Challenge Level


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!