Fractions

  • A ferris wheel with colourful compartments.
    problem

    Fun Time

    Age
    7 to 11
    Challenge level
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    On Saturday, Asha and Kishan's grandad took them to a theme park. Use the information to work out how long they were in the theme park.

  • Light Blue - Dark Blue
    problem

    Light Blue - Dark Blue

    Age
    7 to 11
    Challenge level
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    Investigate the successive areas of light blue in these diagrams.
  • Magic Matrix
    problem

    Magic Matrix

    Age
    7 to 11
    Challenge level
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    Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
  • Chocolate Bars
    game

    Chocolate Bars

    Age
    7 to 11
    Challenge level
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    This is a game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.

  • 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?

  • 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?

  • 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?

  • 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?

  • A gold gift box with a ribbon.
    problem

    Plutarch's Boxes

    Age
    11 to 14
    Challenge level
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    According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?

  • 3388
    problem

    3388

    Age
    11 to 14
    Challenge level
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    Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.