Explaining, convincing and proving

  • Quadrilaterals in a Square
    problem
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
    2 out of 3

    What's special about the area of quadrilaterals drawn in a square?

  • Overlaps
    problem
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    Overlaps

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you find ways to put numbers in the overlaps so the rings have equal totals?

  • Garden Shed
    problem
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    Garden Shed

    Age
    11 to 14
    Challenge level
    2 out of 3

    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
    2 out of 3

    Just because a problem is impossible doesn't mean it's difficult...

  • 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?

  • Fibonacci Surprises
    problem
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    Fibonacci Surprises

    Age
    11 to 14
    Challenge level
    2 out of 3

    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
    2 out of 3

    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
    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.