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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Ratio, Proportion & Rates of Change

### Areas and Ratios

### Mixing Paints

### Mixing More Paints

### Dating Made Easier

### The Legacy

### All in a Jumble

### Speeding Boats

### Speed-time Problems at the Olympics

### Nutrition and Cycling

### Triathlon and Fitness

### Olympic Measures

### Ratio, Proportion and Rates of Change - Short Problems

### Fractions Rectangle

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Age 16 to 18

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

If a sum invested gains 10% each year how long before it has doubled its value?

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?

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.

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?

Age 14 to 16

Challenge Level

Have you ever wondered what it would be like to race against Usain Bolt?

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?

Age 11 to 14

Challenge Level

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

Age 11 to 14

Challenge Level

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

Age 11 to 16

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

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?