# Ratio, Proportion & Rates of Change

This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

##### Age 11 to 14Challenge Level

Can you work out which drink has the stronger flavour?

### Olympic Measures

##### Age 11 to 14Challenge Level

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

### All in a Jumble

##### Age 11 to 14Challenge Level

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

### Triathlon and Fitness

##### Age 11 to 14Challenge Level

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

### Thousands and Millions

##### Age 11 to 14Challenge Level

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

### Mixing Paints

##### Age 11 to 14Challenge Level

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

### Mixing More Paints

##### Age 14 to 16Challenge Level

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

### Nutrition and Cycling

##### Age 14 to 16Challenge Level

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

### Speed-time Problems at the Olympics

##### Age 14 to 16Challenge Level

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

### Speeding Boats

##### Age 14 to 16Challenge 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?

### The Legacy

##### Age 14 to 16Challenge 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 16Challenge Level

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

### Areas and Ratios

##### Age 16 to 18Challenge Level

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

### Fractions Rectangle

##### Age 11 to 14Challenge 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?

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

##### Age 11 to 16

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

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