Visualising and representing

  • Triathlon and Fitness
    problem
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    Triathlon and Fitness

    Age
    11 to 14
    Challenge level
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    The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
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    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Quadrilaterals in a Square
    problem
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
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    What's special about the area of quadrilaterals drawn in a square?

  • Garden Shed
    problem
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    Garden Shed

    Age
    11 to 14
    Challenge level
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    Can you minimise the amount of wood needed to build the roof of my garden shed?

  • Impossibilities
    problem
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    Impossibilities

    Age
    11 to 14
    Challenge level
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    Just because a problem is impossible doesn't mean it's difficult...

  • 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?

  • Fibonacci Surprises
    problem
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    Fibonacci Surprises

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

  • The Farmers' Field Boundary
    problem
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    The Farmers' Field Boundary

    Age
    11 to 14
    Challenge level
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    The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

  • What numbers can we make now?
    problem
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    What Numbers Can We Make Now?

    Age
    11 to 14
    Challenge level
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    Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

  • Triangles to Tetrahedra
    problem
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    Triangles to Tetrahedra

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

    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?