problem Stage 5 cipher challenge Age 16 to 18 Challenge level Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?
problem Peas in a pod Age 14 to 16 Challenge level What is the chance this pea plant will look like its parents?
problem Distribution differences Age 14 to 16 Challenge level How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?
problem Drug testing Age 16 to 18 Challenge level How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?
problem Genetics Age 14 to 16 Challenge level A problem about genetics and the transmission of disease.
problem Magic bag Age 16 to 18 Challenge level A weekly challenge concerning combinatorical probability.
game Twenty20 Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
problem Gambling at monte carlo Age 14 to 16 Challenge level A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
problem 396 Age 14 to 16 Challenge level The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.
problem Succession in randomia Age 16 to 18 Challenge level By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?