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Weekly Problem 18 - 2007
A regular pentagon together with three sides of a regular hexagon form a cradle. What is the size of one of the angles?

Weekly Problem 44 - 2010
Extend two of the sides of a nonagon to form an angle. How large is this acute angle?

Weekly Problem 49 - 2014
A blue cube is cut into 27 smaller cubes of equal size. What fraction of the total surface area of these cubes is blue?

Weekly Problem 38 - 2015
Where does the line through P that halves the figure shown meet the edge XY?

Weekly Problem 50 - 2012
The diagram shows a regular dodecagon. What is the size of the marked angle?

120 students sit an exam with 100 marks available. What is the smallest number of pairs that are awarded the same mark?

Weekly Problem 22 - 2008
The following sequence continues indefinitely... Which of these integers is a multiple of 81?

A case is found with a combination lock. There is one clue about the number needed to open the case. Can you find the number and open the case?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?