List

Ratio, Proportion & rates of change

Areas and Ratios
problem
Favourite

Areas and Ratios

Age
16 to 18
Challenge level
filled star filled star empty star
Do you have enough information to work out the area of the shaded quadrilateral?
Mixing Paints
problem
Favourite

Mixing Paints

Age
11 to 14
Challenge level
filled star filled star empty star
Can you work out how to produce different shades of pink paint?
Mixing More Paints
problem
Favourite

Mixing More Paints

Age
14 to 16
Challenge level
filled star filled star filled star
Can you find an efficent way to mix paints in any ratio?
Dating made Easier
problem
Favourite

Dating made Easier

Age
14 to 16
Challenge level
filled star filled star filled star
If a sum invested gains 10% each year how long before it has doubled its value?
The Legacy
problem
Favourite

The Legacy

Age
14 to 16
Challenge level
filled star filled star empty star
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?
All in a jumble
problem
Favourite

All in a jumble

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

Thousands and Millions

Age
11 to 14
Challenge level
filled star filled star empty star
Here's a chance to work with large numbers...
Speeding boats
problem
Favourite

Speeding boats

Age
14 to 16
Challenge level
filled star empty star empty star
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
Favourite

Nutrition and Cycling

Age
14 to 16
Challenge level
filled star empty star empty star
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
problem
Favourite

Triathlon and Fitness

Age
11 to 14
Challenge level
filled star filled star empty star
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Olympic Measures
problem
Favourite

Olympic Measures

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

Fractions Rectangle

Age
11 to 14
Challenge level
filled star empty star empty star
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 Lemonade
problem
Favourite

Mixing Lemonade

Age
11 to 14
Challenge level
filled star empty star empty star

Can you work out which drink has the stronger flavour?