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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?

Shunting Puzzle

Age 7 to 11
Challenge Level

Why do this problem?

This problem is not for the faint hearted! It requires logical thinking and perseverance. Learners who enjoyed this problem may like to try Single Track .

Key questions

How could you start?
How will you remember what you have tried?
Remember that the engine can push and pull.
Perhaps using some counters will help?

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.