Ratio and proportion

There are 112 NRICH Mathematical resources connected to Ratio and proportion
Nutrition and Cycling
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Nutrition and cycling

Age
14 to 16
Challenge level
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Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Triathlon and Fitness
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Triathlon and fitness

Age
11 to 14
Challenge level
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The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Temperature
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Temperature

Age
11 to 14
Challenge level
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Is there a temperature at which Celsius and Fahrenheit readings are the same?
Oh for the mathematics of yesteryear
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Oh for the mathematics of yesteryear

Age
11 to 14
Challenge level
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A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy?
A Chance to Win?
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A chance to win?

Age
11 to 14
Challenge level
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Imagine you were given the chance to win some money... and imagine you had nothing to lose...
Ratio Sudoku 1
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Ratio Sudoku 1

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

Two Ladders
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Two ladders

Age
14 to 16
Challenge level
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Two ladders are propped up against facing walls. The end of the first ladder is 10 metres above the foot of the first wall. The end of the second ladder is 5 metres above the foot of the second wall. At what height do the ladders cross?
Rule of Three
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Rule of three

Age
11 to 14
Challenge level
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If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
Pumpkin Pie Problem
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Pumpkin pie problem

Age
7 to 11
Challenge level
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Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?