Ratio and proportion

There are 112 NRICH Mathematical resources connected to 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?