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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?

Four Triangles Puzzle

Age 5 to 11
Challenge Level

If you cut a square diagonally from corner to corner you get four right-angled isosceles triangles.


How many different shapes can you make by fitting the four triangles back together?

You may only fit long sides to long sides and short sides to short sides.

The whole length of the side must be joined.

You might like to record what you do.

You could use this interactivity to try out your ideas.

Click on the grey triangles to make new pieces.
You can rotate them by dragging the corners.

Printable NRICH Roadshow resource.

You may be interested in the other problems in our I Wonder... What If...? Feature.