Visualising and representing

  • Method in multiplying madness?
    problem

    Method in multiplying madness?

    Age
    7 to 14
    Challenge level
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    Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
  • Steel Cables
    problem

    Steel cables

    Age
    14 to 16
    Challenge level
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    Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
  • Charting success
    problem

    Charting success

    Age
    11 to 16
    Challenge level
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    Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?
  • If the World Were a Village
    problem

    If the world were a village

    Age
    5 to 11
    Challenge level
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    This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

  • 3D Stacks
    problem

    3D stacks

    Age
    7 to 14
    Challenge level
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    Can you find a way of representing these arrangements of balls?

  • Summing Consecutive Numbers
    problem

    Summing consecutive numbers

    Age
    11 to 14
    Challenge level
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    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Attractive Tablecloths
    problem

    Attractive tablecloths

    Age
    14 to 16
    Challenge level
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    Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
  • Filling the gaps
    problem

    Filling the gaps

    Age
    14 to 16
    Challenge level
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    Which numbers can we write as a sum of square numbers?
  • Sieve of Eratosthenes
    problem

    Sieve of Eratosthenes

    Age
    11 to 14
    Challenge level
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    Follow this recipe for sieving numbers and see what interesting patterns emerge.