Fractions

  • problem

    Orange drink

    Age
    7 to 11
    Challenge level
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    A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

  • Andy's Marbles
    problem

    Andy's marbles

    Age
    7 to 11
    Challenge level
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    Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

  • 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?
  • Extending Fraction Bars
    problem

    Extending fraction bars

    Age
    7 to 11
    Challenge level
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    Can you compare these bars with each other and express their lengths as fractions of the black bar?

  • More Fraction Bars
    problem

    More fraction bars

    Age
    7 to 11
    Challenge level
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    What fraction of the black bar are the other bars? Have a go at this challenging task!

  • 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.
  • Fraction Fascination
    problem

    Fraction fascination

    Age
    7 to 11
    Challenge level
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    This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

  • 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?