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Geoboards

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

Polydron

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

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.