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.
problem
Favourite
Mixing lemonade
Age
11 to 14
Challenge level
Can you work out which drink has the stronger flavour?
problem
Favourite
Olympic measures
Age
11 to 14
Challenge level
These Olympic quantities have been jumbled up! Can you put them back together again?
problem
Favourite
Fractions rectangle
Age
11 to 14
Challenge level
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?
problem
Favourite
Mixing paints
Age
11 to 14
Challenge level
Can you work out how to produce different shades of pink paint?
problem
Favourite
All in a jumble
Age
11 to 14
Challenge level
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
problem
Favourite
Thousands and millions
Age
11 to 14
Challenge level
Here's a chance to work with large numbers...
problem
Favourite
Triathlon and fitness
Age
11 to 14
Challenge level
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
problem
Favourite
Speeding boats
Age
14 to 16
Challenge level
Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
problem
Favourite
Speed-time problems at the Olympics
Age
14 to 16
Challenge level
Have you ever wondered what it would be like to race against Usain Bolt?
problem
Favourite
Nutrition and cycling
Age
14 to 16
Challenge level
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
problem
Favourite
The legacy
Age
14 to 16
Challenge level
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?
problem
Favourite
Mixing more paints
Age
14 to 16
Challenge level
Can you find an efficent way to mix paints in any ratio?
problem
Favourite
Dating made easier
Age
14 to 16
Challenge level
If a sum invested gains 10% each year how long before it has
doubled its value?
problem
Favourite
Areas and ratios
Age
16 to 18
Challenge level
Do you have enough information to work out the area of the shaded quadrilateral?
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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.