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Can you make five differently sized squares from the interactive tangram pieces?


This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.


This activity investigates how you might make squares and pentominoes from Polydron.

Three Squares

Age 5 to 11
Challenge Level

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

3 squares

Please do send us pictures of the arrangements of your squares.  
We would also like to know how you go about the task.  How will you know if your way really does have the greatest possible number of squares?

You could use this interactivity to try out your ideas: