Equivalent fractions, decimals and percentages

  • Fractions jigsaw
    problem
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    Fractions Jigsaw

    Age
    11 to 14
    Challenge level
    1 out of 3

    A jigsaw where pieces only go together if the fractions are equivalent.

  • Round and round and round
    problem
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    Round and Round and Round

    Age
    11 to 14
    Challenge level
    1 out of 3

    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
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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?

  • the greedy algorithm
    problem
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    The Greedy Algorithm

    Age
    11 to 14
    Challenge level
    3 out of 3

    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
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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?

  • Power match
    problem
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    Power Match

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you locate these values on this interactive logarithmic scale?

  • A silver metal chain with a green background.
    problem

    Linked Chains

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

  • Small tomato seedlings in pink pots.
    problem

    Pride of Place

    Age
    11 to 14
    Challenge level
    2 out of 3

    Two fractions have been placed on a number line. Where should another fraction be placed?

  • Small tomato seedlings in pink pots.
    problem

    Too Close to Call

    Age
    11 to 14
    Challenge level
    3 out of 3

    Weekly Problem 24 - 2012
    Can you put these very close fractions into order?