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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.

'Use the Difference Between a Given Ratio to Find Missing Values' worksheet

Key stage:  KS 2

Year:  Year 6 Maths worksheets

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

 

girl has an idea

 

Let's try a different type of question!

 

Example

Charlie and Daphne have some sweets in a bag.

 

sweets

 

They share them in a ratio of 4 : 7

Daphne has 15 more sweets than Charlie

How many sweets has Charlie got?

 

Answer

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

 

boy jumping

 

Let's try some questions like this!

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