Combinations

  • problem

    Cross-Country Race

    Age
    14 to 16
    Challenge level

    Eight children enter the autumn cross-country race at school. How many possible ways could they come in at first, second and third places?

  • The Olympic Torch Tour
    problem

    The Olympic Torch Tour

    Age
    14 to 16
    Challenge level

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

  • Scratch Cards
    problem

    Scratch Cards

    Age
    14 to 16
    Challenge level

    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?

  • Factoring a million
    problem

    Factoring a Million

    Age
    14 to 16
    Challenge level

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

  • Spectrometry detective
    problem

    Spectrometry Detective

    Age
    16 to 18
    Challenge level
    From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?
  • The Secret World of Codes and Code Breaking
    article

    The Secret World of Codes and Code Breaking

    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.
  • Placeholder: several colourful numbers
    article

    Binomial Coefficients

    An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.

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