Working systematically

  • Sorted
    problem

    Sorted

    Age
    14 to 18
    Challenge level
    filled star empty star empty star
    How can you quickly sort a suit of cards in order from Ace to King?
  • The Tour de Clochemerle
    problem

    The Tour De Clochemerle

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Can you work out where these 5 riders came in a not-quite-so-famous bike race?

  • The ELISA Test
    problem

    The ELISA Test

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    In 1% of cases, an HIV test gives a positive result for someone who is HIV negative. How likely is it that someone who tests positive has HIV?

  • Take a message soldier
    problem
    Favourite

    Take a Message Soldier

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?

  • Constellation Sudoku
    problem

    Constellation Sudoku

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.

  • Matching Criminals
    problem

    Matching Criminals

    Age
    14 to 18
    Challenge level
    filled star filled star filled star

    DNA profiling is an invaluable tool for the police. However, when it comes to probability, things aren't always as straightforward as they seem.

  • Shopping basket of various food items.
    problem

    A Long Time at the Till

    Age
    14 to 18
    Challenge level
    filled star filled star filled star

    Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?

  • Impuzzable
    article

    Impuzzable

    This is about a fiendishly difficult jigsaw and how to solve it using a computer program.

  • Snooker
    problem

    Snooker

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

  • Snooker Frames
    problem
    Favourite

    Snooker Frames

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?