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Can you work out the number of chairs at a cafe from the number of legs?

Imagine cutting out a circle which is just contained inside a semicircle. What fraction of the semi-circle will remain?

Rotating a pencil twice about two different points gives surprising results...

Weekly Problem 38 - 2011
Given three concentric circles, shade in the annulus formed by the smaller two. What percentage of the larger circle is now shaded?

This magic square has only been partially completed. Can you still solve it...

Weekly Problem 18 - 2008
The diagram shows a regular pentagon. Can you work out the size of the marked angle?

Weekly Problem 38 - 2008
A quadrilateral can have four right angles. What is the largest number of right angles an octagon can have?

Weekly Problem 50 - 2008
The lengths SP, SQ and SR are equal and the angle SRQ is x degrees. What is the size of angle PQR?

Weekly Problem 3 - 2009
What fraction of the area of this regular hexagon is the shaded triangle?

In how many ways can seven of the numbers 1-9 be chosen such that they add up to a multiple of 3?