In how many different ways can I colour the five edges of a pentagon red, blue and green so that no two adjacent edges are the same colour?
All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an). How many words are there in the Snowman language?
By inscribing a circle in a square and then a square in a circle find an approximation to pi. By using a hexagon, can you improve on the approximation?
A small circle is placed inside a square just touching the sides. The square is on top of a big circle with its vertices on the circle. Finally the big circle is on top of a trapezium which has its sides just touching the circle. Using the measurements and clue given, find the area of the trapezium.