Fractions

  • Chocolate
    problem

    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

    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

    Fractions jigsaw

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

  • Keep it simple
    problem

    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

    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

    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

    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?

  • Same Answer
    problem

    Same answer

    Age
    11 to 14
    Challenge level
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    Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

  • Sum Equals Product
    problem

    Sum equals product

    Age
    11 to 14
    Challenge level
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    The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 × 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?