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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

### Olympic Measures

### All in a Jumble

### Triathlon and Fitness

### Mixing Paints

### Mixing More Paints

### Nutrition and Cycling

### Speed-time Problems at the Olympics

### Speeding Boats

### The Legacy

### Dating Made Easier

### Areas and Ratios

### Fractions Rectangle

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

Y*ou may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.*

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Age 11 to 14

Challenge Level

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

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 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

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

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

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

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

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 14 to 16

Challenge Level

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

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

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?

Age 11 to 16

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

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