Ratio, Proportion & Rates of Change

Areas and Ratios

Age 16 to 18
Challenge Level

Do you have enough information to work out the area of the shaded quadrilateral?

Mixing Paints

Age 11 to 14
Challenge Level

Can you work out how to produce different shades of pink paint?

Mixing More Paints

Age 14 to 16
Challenge Level

Can you find an efficent way to mix paints in any ratio?

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?

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?

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.

Thousands and Millions

Age 11 to 14
Challenge Level

Here's a chance to work with large numbers...

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?

Mixing Lemonade

Age 11 to 14
Challenge Level

Can you work out which drink has the stronger flavour?

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?

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?

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?

Olympic Measures

Age 11 to 14
Challenge Level

These Olympic quantities have been jumbled up! Can you put them back together again?

Ratio, Proportion and Rates of Change - Short Problems

Age 11 to 16

A collection of short problems on ratio, proportion and rates of change.

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?