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Smaller and Smaller

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?

Farey Sequences

There are lots of ideas to explore in these sequences of ordered fractions.

Tweedle Dum and Tweedle Dee

Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...

Egyptian Fractions

Age 11 to 14 Challenge Level:

Before attempting this problem, it might be a good idea to take a look at Keep it Simple