Fractions

  • Rod Fractions
    problem

    Rod Fractions

    Age
    7 to 14
    Challenge level
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    Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?
  • Chocolate
    problem
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    Chocolate

    Age
    7 to 14
    Challenge level
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    There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

  • Almost One
    problem
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    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?

  • Family Fortune
    problem

    Family Fortune

    Age
    11 to 14
    Challenge level
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    If three brothers will get £20 more if they do not share their money with their sister, how much money is there?

  • Fractions jigsaw
    problem
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    Fractions Jigsaw

    Age
    11 to 14
    Challenge level
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    A jigsaw where pieces only go together if the fractions are equivalent.

  • Information Display
    problem

    Information Display

    Age
    11 to 14
    Challenge level
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    The information display on a train shows letters by illuminating dots in a rectangular array. What fraction of the dots in this array is illuminated?

  • Keep it simple
    problem
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    Keep It Simple

    Age
    11 to 14
    Challenge level
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    Can all unit fractions be written as the sum of two unit fractions?

  • Diminishing Returns
    problem
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    Diminishing Returns

    Age
    11 to 14
    Challenge level
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    How much of the square is coloured blue? How will the pattern continue?

  • Mixing Lemonade
    problem
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    Mixing Lemonade

    Age
    11 to 14
    Challenge level
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    Can you work out which drink has the stronger flavour?

  • Fractions Rectangle
    problem
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    Fractions Rectangle

    Age
    11 to 14
    Challenge level
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    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?