Ratio and proportion

  • Ratio Sudoku 1
    problem

    Ratio Sudoku 1

    Age
    11 to 16
    Challenge level
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    A Sudoku with clues as ratios.

  • Orbiting Billiard Balls
    problem

    Orbiting billiard balls

    Age
    14 to 16
    Challenge level
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    What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?
  • Tin Tight
    problem

    Tin tight

    Age
    14 to 16
    Challenge level
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    What's the most efficient proportion for a 1 litre tin of paint?
  • Mixing More Paints
    problem

    Mixing more paints

    Age
    14 to 16
    Challenge level
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    Can you find an efficent way to mix paints in any ratio?
  • Mixing Paints
    problem

    Mixing paints

    Age
    11 to 14
    Challenge level
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    Can you work out how to produce different shades of pink paint?
  • Cereal mix
    problem

    Cereal mix

    Age
    11 to 14
    Challenge level
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    A farmer is supplying a mix of seeds, nuts and dried apricots to a manufacturer of crunchy cereal bars. What combination of ingredients costing £5 per kg could he supply?
  • Little Man
    problem

    Little man

    Age
    5 to 7
    Challenge level
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    The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
  • Nutty Mixture
    problem

    Nutty mixture

    Age
    7 to 11
    Challenge level
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    Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?
  • Scale Draw
    problem

    Scale draw

    Age
    5 to 7
    Challenge level
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    Use the grids to draw pictures to different scales.
  • Blackcurrantiest
    problem

    Blackcurrantiest

    Age
    5 to 7
    Challenge level
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    Can you decide whose drink has the strongest blackcurrant flavour from these pictures?