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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?

Building with Longer Rods

Age 7 to 14
Challenge Level

This activity has been particularly created for the highest attainers.

When you have completed Building with Rods then go further with this challenge of using rods that are $3$ units long.

Same rules as before - so just to remind you; here are two solutions that fit the rule. 

Here are two that don't fit the rule as the small cubes have to be lined up squarely, with no overlapping. 

The challenge is to find all the possible ways of stacking the rods, keeping the blue rod on the bottom, the red rod in the middle and the green rod on top. 

What do you think will happen if you try the same activity with rods that are $4$ long?

What do you think will happen if the rods are $5$ long?