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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?

Colour in the Square

Age 7 to 16 Challenge Level:

Can you put the $25$ coloured tiles into the $5\times 5$ square below so that no column, no row and no diagonal line have the same colour in them?

Use the interactivity below to try out your ideas.

Printable NRICH Roadshow resource.

Working systematically. Networks/Graph Theory. Mathematical reasoning & proof. Combinatorics. Complex numbers. Interactivities. Mathematical modelling. Visualising. Games. Making and proving conjectures.