Exploring and noticing

  • Mixing Paints
    problem
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    Mixing paints

    Age
    11 to 14
    Challenge level
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    Can you work out how to produce different shades of pink paint?

  • Speeding up, slowing down
    problem
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    Speeding up, slowing down

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • Route to infinity
    problem
    Favourite

    Route to infinity

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

    Can you describe this route to infinity? Where will the arrows take you next?

  • Twisting and Turning
    problem
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    Twisting and turning

    Age
    11 to 14
    Challenge level
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    Take a look at the video and try to find a sequence of moves that will untangle the ropes.

  • Four Coloured Lights
    problem

    Four coloured lights

    Age
    11 to 14
    Challenge level
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    Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?
  • 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?

  • What's the weather like?
    problem
    Favourite

    What's the weather like?

    Age
    11 to 14
    Challenge level
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    With access to weather station data, what interesting questions can you investigate?

  • 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...

  • Fibonacci Surprises
    problem
    Favourite

    Fibonacci surprises

    Age
    11 to 14
    Challenge level
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    Play around with the Fibonacci sequence and discover some surprising results!

  • Terminating or not
    problem
    Favourite

    Terminating or not

    Age
    11 to 14
    Challenge level
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    Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?