Being curious

  • Opposite vertices
    problem
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    Opposite vertices

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Can you recreate squares and rhombuses if you are only given a side or a diagonal?

  • Non-Transitive Dice
    problem
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    Non-transitive dice

    Age
    11 to 14
    Challenge level
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    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • Who's the best?
    problem
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    Who's the best?

    Age
    11 to 14
    Challenge level
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    Which countries have the most naturally athletic populations?

  • Hourglass with blue sand.
    problem
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    Estimating time

    Age
    11 to 14
    Challenge level
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    How well can you estimate 10 seconds? Investigate with our timing tool.

  • Unequal Averages
    problem
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    Unequal averages

    Age
    11 to 14
    Challenge level
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    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
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    Where should you start, if you want to finish back where you started?

  • What numbers can we make now?
    problem
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    What numbers can we make now?

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

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

  • How Many Miles To Go?
    problem
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    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • Up and across
    problem
    Favourite

    Up and across

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Litov's Mean Value Theorem
    problem
    Favourite

    Litov's mean value theorem

    Age
    11 to 14
    Challenge level
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    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...