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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?

Rod Area

Age 7 to 11

For this task, imagine using a number of rods, each with a length of 1 unit.
You will use the rods to create a letter U shape which is symmetrical.

Example 1:



   28 rods                      U shape                 Area of 39 square units

Example 2:


   34 rods                        U shape                      Area of 57 square units

The following are not allowed as they are not U-shaped:



Challenge 1


Using 20 rods each time, find one U shape which has an area that is an even number of square units and one which has an area that is an odd number of square units.



Challenge 2

Using any whole number of rods find a U shape with an area of 14 square units.
Can you find all the U shapes with an area of 14 square units?
How do you know you've got them all?

Here is a printable sheet of the activity.