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An environment which simulates working with Cuisenaire rods.
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
Which of these games would you play to give yourself the best possible chance 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.
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?
Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
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.
Eight children enter the autumn cross-country race at school. How many possible ways could they come in at first, second and third places?
In how many ways can the number 1 000 000 be expressed as the product of three positive integers?
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?
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 a head (you win). What is the probability that you win?