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

Tangrams

Age 5 to 11 Challenge Level

The tangram is based on the dissection of a square into seven pieces.

Can you make other squares using some, not all, of the pieces?
Can you make five different squares?
What is the smallest square you can make?
What is the largest?

You might find it helpful to use the interactivity below to try out your ideas, or to print and cut out one of the tangrams on this sheet.