Being curious

  • Changing areas, changing volumes
    problem
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    Changing Areas, Changing Volumes

    Age
    11 to 14
    Challenge level
    2 out of 3

    How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

  • Non-Transitive Dice
    problem
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    Non-Transitive Dice

    Age
    11 to 14
    Challenge level
    2 out of 3

    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Hourglass with blue sand.
    problem
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    Estimating Time

    Age
    11 to 14
    Challenge level
    2 out of 3

    How well can you estimate 10 seconds? Investigate with our timing tool.

  • Impossibilities
    problem
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    Impossibilities

    Age
    11 to 14
    Challenge level
    2 out of 3

    Just because a problem is impossible doesn't mean it's difficult...

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level
    2 out of 3

    Play around with sets of five numbers and see what you can discover about different types of average...

  • Reversals
    problem
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    Reversals

    Age
    11 to 14
    Challenge level
    2 out of 3

    Where should you start, if you want to finish back where you started?

  • Fibonacci Surprises
    problem
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    Fibonacci Surprises

    Age
    11 to 14
    Challenge level
    2 out of 3

    Play around with the Fibonacci sequence and discover some surprising results!

  • The Farmers' Field Boundary
    problem
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    The Farmers' Field Boundary

    Age
    11 to 14
    Challenge level
    2 out of 3

    The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

  • What numbers can we make now?
    problem
    Favourite

    What Numbers Can We Make Now?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Imagine we have four bags containing numbers from a sequence. What numbers can we make now?