List

Ratio, Proportion & rates of change

Mixing Lemonade
problem

Mixing Lemonade

Age
11 to 14
Challenge level
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Can you work out which drink has the stronger flavour?
Olympic Measures
problem

Olympic Measures

Age
11 to 14
Challenge level
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These Olympic quantities have been jumbled up! Can you put them back together again?
Fractions Rectangle
problem

Fractions Rectangle

Age
11 to 14
Challenge level
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The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
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?
All in a jumble
problem

All in a jumble

Age
11 to 14
Challenge level
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My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
Triathlon and Fitness
problem

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?
Speeding boats
problem

Speeding boats

Age
14 to 16
Challenge level
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Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
Nutrition and Cycling
problem

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?
The Legacy
problem

The Legacy

Age
14 to 16
Challenge level
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Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?
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?
Dating made Easier
problem

Dating made Easier

Age
14 to 16
Challenge level
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If a sum invested gains 10% each year how long before it has doubled its value?
Areas and Ratios
problem

Areas and Ratios

Age
16 to 18
Challenge level
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Do you have enough information to work out the area of the shaded quadrilateral?


Image
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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.