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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?

A Shapely Network

Age 7 to 11 Challenge Level:

A Shapely Network

Look at the network of shapes below:

Your challenge is to find the longest way through the network following this rule:

You can start and finish anywhere, and with any shape, as long as you follow the correct order. You may only visit each shape once but you do not have to visit them all.

Why do this problem?

This problem challenges children to work logically and systematically. They will need to keep the criteria in mind and may start by using trial and improvement.

Key questions

Where would be a good place to start?
What always follows that shape?
How will you keep track of your route?

Possible extension

Children could try Delia's Routes next.

Possible support

Having a print-out of the grid will help many children.