Fractions

  • Keep it simple
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    Keep It Simple

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can all unit fractions be written as the sum of two unit fractions?

  • Diminishing Returns
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    Diminishing Returns

    Age
    11 to 14
    Challenge level
    1 out of 3

    How much of the square is coloured blue? How will the pattern continue?

  • Mixing Lemonade
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    Mixing Lemonade

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you work out which drink has the stronger flavour?

  • Fractions Rectangle
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    Fractions Rectangle

    Age
    11 to 14
    Challenge level
    1 out of 3

    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

  • Same Answer
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    Same Answer

    Age
    11 to 14
    Challenge level
    2 out of 3

    Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

  • Egyptian Fractions
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    Egyptian Fractions

    Age
    11 to 14
    Challenge level
    2 out of 3

    The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.

  • Farey Sequences
    problem
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    Farey Sequences

    Age
    11 to 14
    Challenge level
    2 out of 3

    There are lots of ideas to explore in these sequences of ordered fractions.

  • Peaches today, Peaches tomorrow...
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    Peaches Today, Peaches Tomorrow...

    Age
    11 to 14
    Challenge level
    2 out of 3

    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?

  • Twisting and Turning
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    Twisting and Turning

    Age
    11 to 14
    Challenge level
    2 out of 3

    Take a look at the video and try to find a sequence of moves that will untangle the ropes.

  • Terminating or not
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    Terminating or Not

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?