Fractions

  • Terminating or not
    problem
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    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?

  • A Chance to Win?
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    A Chance to Win?

    Age
    11 to 14
    Challenge level
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    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • the greedy algorithm
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    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.

  • Countdown fractions
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    Countdown Fractions

    Age
    11 to 16
    Challenge level
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    Here is a chance to play a fractions version of the classic Countdown Game.

  • More Twisting and Turning
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    More Twisting and Turning

    Age
    11 to 16
    Challenge level
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    It would be nice to have a strategy for disentangling any tangled ropes...

  • Ben's Game
    problem
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    Ben's Game

    Age
    11 to 16
    Challenge level
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    Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

  • Fair Shares?
    problem
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    Fair Shares?

    Age
    14 to 16
    Challenge level
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    A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?

  • Tiny Nines
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    Tiny Nines

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

  • Repetitiously
    problem
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    Repetitiously

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