Fractions

The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

Can you find the pairs that represent the same amount of money?

Here is a chance to play a fractions version of the classic Countdown Game.

It would be nice to have a strategy for disentangling any tangled ropes...

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

I need a figure for the fish population in a lake. How does it help to catch and mark 40 fish?

Can you work out the parentage of the ancient hero Gilgamesh?

A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?

At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.