Being curious

  • Opposite vertices
    problem
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    Opposite Vertices

    Age
    11 to 14
    Challenge level
    2 out of 3

    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
    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?

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

    Age
    11 to 14
    Challenge level
    2 out of 3

    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
    2 out of 3

    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
    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?

  • What numbers can we make now?
    problem
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    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?

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Snappy Statements

    Age
    11 to 14
    Challenge level
    2 out of 3

    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • How Many Miles To Go?
    problem
    Favourite

    How Many Miles to Go?

    Age
    11 to 14
    Challenge level
    3 out of 3

    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
    3 out of 3

    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.