Fractions, Decimals and Percentages: Age 11-16

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.


  • problem
    Favourite

    Doughnut Percents

    Age
    7 to 14
    Challenge level

    Can you make doughnuts by matching these fractions, decimals and percentages?

  • Peaches today, Peaches tomorrow...
    problem
    Favourite

    Peaches Today, Peaches Tomorrow...

    Age
    11 to 14
    Challenge level

    A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

  • Terminating or not
    problem
    Favourite

    Terminating or Not

    Age
    11 to 14
    Challenge level

    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?
    problem
    Favourite

    A Chance to Win?

    Age
    11 to 14
    Challenge level

    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • Ben's Game
    problem
    Favourite

    Ben's Game

    Age
    11 to 16
    Challenge level

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

  • Tiny Nines
    problem
    Favourite

    Tiny Nines

    Age
    14 to 16
    Challenge level

    What do you notice about these families of recurring decimals?

  • Repetitiously
    problem
    Favourite

    Repetitiously

    Age
    14 to 16
    Challenge level

    Can you express every recurring decimal as a fraction?

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