Being curious

  • Mathsland National Lottery
    problem
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    Mathsland National Lottery

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you work out the probability of winning the Mathsland National Lottery?

  • Training schedule
    problem
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    Training Schedule

    Age
    14 to 16
    Challenge level
    2 out of 3

    The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

  • Filling the gaps
    problem
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    Filling the Gaps

    Age
    14 to 16
    Challenge level
    2 out of 3

    Which numbers can we write as a sum of square numbers?

  • Which list is which?
    problem
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    Which List Is Which?

    Age
    14 to 16
    Challenge level
    2 out of 3

    Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?

  • Odds and Evens made fair
    problem
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    Odds and Evens Made Fair

    Age
    14 to 16
    Challenge level
    2 out of 3

    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

  • Difference of Two Squares
    problem
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    Difference of Two Squares

    Age
    14 to 16
    Challenge level
    2 out of 3

    What is special about the difference between squares of numbers adjacent to multiples of three?

  • Multiplication arithmagons
    problem
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    Multiplication Arithmagons

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

  • The square top of a red gift box with a bow.
    problem
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    Square Number Surprises

    Age
    14 to 16
    Challenge level
    2 out of 3

    There are unexpected discoveries to be made about square numbers...

  • Bendy Quad
    problem
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    Bendy Quad

    Age
    14 to 16
    Challenge level
    3 out of 3

    Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

  • Latin Numbers
    problem
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    Latin Numbers

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you create a Latin Square from multiples of a six digit number?