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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?

Single Track

Age 7 to 11 Challenge Level:

This one needed a lot of patience, but Josh cracked it.

Train A reverses and allows Train B to pull forward.

Train B reverses up the siding and leaves carriages B3 and B 4 there.

Train B then pulls back on the main line and reverses.

Engine A then goes into the siding and reverses with carriages B3 and B4, taking them on the main line.

Engine B with carriage B1 and B2 then pulls forward far enough so it can reverse on to the siding.

Engine A then goes forward across the siding pushing carriages B3 and B4 in front and pulling A1, A2, A3 and A4 behind.

Engine B then pulls out of the siding with carriages B1 and B2 and goes forwards down the track.

Engine A then reverses, pushes carriages B3 and B4 into the siding, leaves them there, reverses back on the main rack and pulls forward.

Engine B then reverses into the siding with carriages B1 and B2 and picks up carriages B3 and B4.