Being resilient

  • Mathsland National Lottery
    problem
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    Mathsland National Lottery

    Age
    14 to 16
    Challenge level
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    Can you work out the probability of winning the Mathsland National Lottery?

  • Filling the gaps
    problem
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    Filling the Gaps

    Age
    14 to 16
    Challenge level
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    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
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    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
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    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.

  • Puzzling Place Value
    problem
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    Puzzling Place Value

    Age
    14 to 16
    Challenge level
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    Can you explain what is going on in these puzzling number tricks?

  • Ladder and Cube
    problem
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    Ladder and Cube

    Age
    14 to 16
    Challenge level
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    A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

  • Latin Numbers
    problem
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    Latin Numbers

    Age
    14 to 16
    Challenge level
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    Can you create a Latin Square from multiples of a six digit number?

  • Two blank square picture frames on a wooden floor.
    problem
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    2-Digit Square

    Age
    14 to 16
    Challenge level
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    A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

  • Far Horizon
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    Far Horizon

    Age
    14 to 16
    Challenge level
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    An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

  • LCM Sudoku
    problem
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    LCM Sudoku

    Age
    14 to 16
    Challenge level
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    Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.