Combinations

  • A double six domino with two sixes on other dominoes touching its sides.
    problem

    Domino Tetrads

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Is it possible to use all 28 dominoes arranging them in squares of four? What patterns can you see in the solution(s)?

  • Building Up
    problem

    Even Up

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?

  • Coins
    problem

    Coins

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

  • Handling Data - Short Problems
    problem

    Nine or Ten?

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Is a score of 9 more likely than a score of 10 when you roll three dice?

  • Trominoes
    problem

    Trominoes

    Age
    11 to 16
    Challenge level
    filled star filled star empty star
    Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?
  • The Olympic Torch Tour
    problem

    The Olympic Torch Tour

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Factoring a million
    problem

    Factoring a Million

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    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
    filled star empty star empty star
    From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?
  • Placeholder: several colourful numbers
    article

    Binomial Coefficients

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