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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?

Make Pairs

Age 7 to 11
Challenge Level

This one has had people thinking! Several solutions have been sent in now, but so far only this one, from Hale fits all the 'rules' of the problem.

If the positions are numbered 1 to 10 then:

  1. 4 to 1
  2. 6 to 9
  3. 8 to 3
  4. 2 to 5
  5. 10 to 7