Equivalent fractions, decimals and percentages

  • problem

    Doughnut percents

    Age
    7 to 14
    Challenge level
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    Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?

  • Almost One
    problem

    Almost one

    Age
    11 to 14
    Challenge level
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    Choose some fractions and add them together. Can you get close to 1?

  • Fractions jigsaw
    problem

    Fractions jigsaw

    Age
    11 to 14
    Challenge level
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    A jigsaw where pieces only go together if the fractions are equivalent.

  • Round and round and round
    problem

    Round and round and round

    Age
    11 to 14
    Challenge level
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    Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

  • Terminating or not
    problem

    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?

  • the greedy algorithm
    problem

    The greedy algorithm

    Age
    11 to 14
    Challenge level
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    The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

  • Tiny Nines
    problem

    Tiny nines

    Age
    14 to 16
    Challenge level
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    What do you notice about these families of recurring decimals?

  • Repetitiously
    problem

    Repetitiously

    Age
    14 to 16
    Challenge level
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    Can you express every recurring decimal as a fraction?

  • Power match
    problem

    Power match

    Age
    16 to 18
    Challenge level
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    Can you locate these values on this interactive logarithmic scale?