Working systematically

  • crossing the bridge
    problem
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    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • Chances are
    problem
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    Chances Are

    Age
    14 to 16
    Challenge level
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    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • The Better Choice
    problem
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    The Better Choice

    Age
    14 to 16
    Challenge level
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    Here are two games you can play. Which offers the better chance of winning?

  • Warmsnug Double Glazing
    problem
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    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
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    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • Spotting the loophole
    problem
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    Spotting the Loophole

    Age
    14 to 16
    Challenge level
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    A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?

  • Which is cheaper?
    problem
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    Which Is Cheaper?

    Age
    14 to 16
    Challenge level
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    When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

  • Finding factors
    problem
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    Finding Factors

    Age
    14 to 16
    Challenge level
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    Can you find the hidden factors which multiply together to produce each quadratic expression?

  • Nutrition and Cycling
    problem
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    Nutrition and Cycling

    Age
    14 to 16
    Challenge level
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    Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

  • Picturing the world
    problem
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    Picturing the World

    Age
    14 to 16
    Challenge level
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    How can we make sense of national and global statistics involving very large numbers?

  • Isosceles Seven
    problem
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    Isosceles Seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?