You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Can you express every recurring decimal as a fraction?
A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
Your school has been left a million pounds in the will of an ex-pupil. What model of investment and spending would you use in order to ensure the best return on the money?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
