Visualising and representing

  • Partly Circles
    problem
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    Partly Circles

    Age
    14 to 16
    Challenge level
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    What is the same and what is different about these circle questions? What connections can you make?

  • Fit for photocopying
    problem
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    Fit for Photocopying

    Age
    14 to 16
    Challenge level
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    Explore the relationships between different paper sizes.

  • Vector walk
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    Vector Walk

    Age
    14 to 18
    Challenge level
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    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Vector journeys
    problem
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    Vector Journeys

    Age
    14 to 18
    Challenge level
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    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

  • Which spinners?
    problem
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    Which Spinners?

    Age
    14 to 18
    Challenge level
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    Can you work out which spinners were used to generate the frequency charts?

  • Summing geometric progressions
    problem
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    Summing Geometric Progressions

    Age
    14 to 18
    Challenge level
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    Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

  • Perception versus reality
    problem
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    Perception Versus Reality

    Age
    14 to 18
    Challenge level
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    Infographics are a powerful way of communicating statistical information. Can you come up with your own?

  • Iff
    problem
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    Iff

    Age
    14 to 18
    Challenge level
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    Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

  • Back fitter
    problem
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    Back Fitter

    Age
    14 to 18
    Challenge level
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    10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?