Working systematically

  • Spotting the loophole
    problem
    Favourite

    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?

  • Rainstorm sudoku
    problem

    Rainstorm Sudoku

    Age
    14 to 16
    Challenge level
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    Use the clues about the shaded areas to help solve this sudoku

  • Which is cheaper?
    problem
    Favourite

    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
    Favourite

    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
    Favourite

    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
    Favourite

    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?

  • Quadratic Matching
    problem

    Quadratic Matching

    Age
    14 to 16
    Challenge level
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    Can you match each graph to one of the statements?

  • Isosceles Seven
    problem
    Favourite

    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?

  • Olympic Magic
    problem

    Olympic Magic

    Age
    14 to 16
    Challenge level
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    in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

  • Magic W
    problem

    Magic W

    Age
    14 to 16
    Challenge level
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    Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.