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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.

Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

Display Boards

Age 7 to 11 Challenge Level:

We had very few solutions to this task and all but the one from Katie and Lucy from Gosforth East Middle School did not manage to obey all the rules. Here is their solution:

This problem confused us at first but now we have a solution.

First we thought the best shape was a square but now we realise it is not.
We realised you can get more display boards in if you have points containing 3 to 6 boards (taking up less space). Then we made it as narrow as possible.

Thank you for your solution but I think it is possible to create an arrangement which is narrower than this one. 

Let us know if you have any ideas!