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

An ordinary die is placed on a horizontal table with the '1' face facing East... In which direction is the '1' face facing after this sequence of moves?

Quince, quonce and quance are three types of fruit. Can you work out the order of heaviness of the fruits?

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

Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?

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

A square is divided into four rectangles and a square. Can you work out the ratio of the side lengths of the rectangles?

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?

In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?

Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?