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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?

Whose Face?

Age 5 to 11
Challenge Level

Why do this problem?

This problem encourages children to use logical reasoning and work systematically. It could be a good way of improving this mathematical skill without learners worrying about mathematics or numbers.

Key questions

Who has small eyes?
Who else looks sad?
Are you able to tell which face is Jill's?

Possible extension

Children could try A Bag of Marbles next.

Possible support

You could use this sheet to help. It contains the pictures of the faces along with name labels and the clues.

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.