From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?

To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by. . . .

When you think of spies and secret agents, you probably wouldn’t think of mathematics. Some of the most famous code breakers in history have been mathematicians.

A game that demands a logical approach using systematic working to deduce a winning strategy

Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?

In how many ways can the number 1 000 000 be expressed as the product of three positive integers?

Which of these games would you play to give yourself the best possible chance of winning a prize?

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?