Fractions

  • Countdown fractions
    problem
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    Countdown Fractions

    Age
    11 to 16
    Challenge level
    1 out of 3

    Here is a chance to play a fractions version of the classic Countdown Game.

  • More Twisting and Turning
    problem
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    More Twisting and Turning

    Age
    11 to 16
    Challenge level
    2 out of 3

    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
    3 out of 3

    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
    2 out of 3

    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
    problem
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    Tiny Nines

    Age
    14 to 16
    Challenge level
    2 out of 3

    What do you notice about these families of recurring decimals?

  • Repetitiously
    problem
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    Repetitiously

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you express every recurring decimal as a fraction?

  • Harmonic Triangle
    problem
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    Harmonic Triangle

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you see how to build a harmonic triangle? Can you work out the next two rows?

  • There's a limit
    problem
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    There's a Limit

    Age
    14 to 18
    Challenge level
    1 out of 3

    Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

  • As Easy as 1,2,3
    problem

    As Easy as 1,2,3

    Age
    11 to 14
    Challenge level
    1 out of 3
    When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type 'TWO' it returns 2, and so on.