This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
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problem
Olympic measures
These Olympic quantities have been jumbled up! Can you put them back together again?
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problem
Fractions rectangle
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?
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problem
All in a jumble
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
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problem
Triathlon and fitness
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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problem
Speeding boats
Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
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problem
Speed-time problems at the Olympics
Have you ever wondered what it would be like to race against Usain Bolt?
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problem
Nutrition and cycling
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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problem
The legacy
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?
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problem
Dating made easier
If a sum invested gains 10% each year how long before it has
doubled its value?
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problem
Areas and ratios
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.