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If you had 36 cubes, what different cuboids could you make?

Fake Gold

Age 7 to 11 Challenge Level:

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?

Scales Gold!

Now, can you do it with nine bars of gold (one fake light one), again only using the balance twice?