Equivalent fractions, decimals and percentages

  • Too Close to Call
    problem

    Too close to call

    Age
    11 to 14
    Challenge level
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    Weekly Problem 24 - 2012
    Can you put these very close fractions into order?
  • Fractional Triangles
    problem

    Fractional triangles

    Age
    7 to 11
    Challenge level
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    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • Sept 03
    problem

    Sept 03

    Age
    11 to 14
    Challenge level
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    What is the last digit of the number 1 / 5^903 ?
  • Repetitiously
    problem

    Repetitiously

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

    Tiny nines

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

    Tumbling down

    Age
    7 to 11
    Challenge level
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    Watch this animation. What do you see? Can you explain why this happens?

  • Almost One
    problem

    Almost one

    Age
    11 to 14
    Challenge level
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    Choose some fractions and add them together. Can you get close to 1?
  • Linked Chains
    problem

    Linked chains

    Age
    7 to 11
    Challenge level
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    Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

  • Fraction Lengths
    problem

    Fraction lengths

    Age
    7 to 11
    Challenge level
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    Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?