# Use the Difference Between a Given Ratio to Find Missing Values

In this worksheet, students will use the difference between given ratios to find missing values.

Key stage:  KS 2

Curriculum topic:   Ratio and Proportion

Curriculum subtopic:   Solve Ratio Problems

Difficulty level:

#### Worksheet Overview

In this activity, we are going to find missing values by using the difference between given ratios!

Recap

If we are given 15 sweets ...

... and asked to share them in a ratio of 2 : 3

That means we have to split them into 2 + 3 = 5 parts in total.

15 ÷ 5 parts = 3 sweets for 1 part

Therefore, 2 parts = 2 x 3 sweets = 6 sweets

3 parts = 3 x 3 sweets = 9 sweets

Let's try a different type of question!

Example

Charlie and Daphne have some sweets in a bag.

They share them in a ratio of 4 : 7

Daphne has 15 more sweets than Charlie

How many sweets has Charlie got?

Charlie : Daphne

4 : 7

The difference is 15 sweets

Therefore, 7 parts - 4 parts = 3 parts

3 parts = 15 sweets

1 part = 15 ÷ 3 parts = 5 sweets for each part

One part = 5 sweets

Charlie has 2 parts

2 x 5 sweets = 10 sweets

Let's try some questions like this!

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started