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.
If you had 36 cubes, what different cuboids could you make?
A merchant brings four bars of gold to a jeweller. The jeweller
suspects that one bar is a fake, and knows that it will be slightly
lighter than the real ones.
He only has to use the balance twice before he finds the fake
bar. How does he do it?
Now, can you do it with nine bars of gold (one fake light one),
again only using the balance twice?