Sharing by ratio
Sharing by ratio is a useful skill in everyday life, from splitting a restaurant bill fairly to dividing ingredients in a recipe. It helps ensure things are distributed proportionally, whether you're sharing money, food, or time. Understanding ratios allows you to make fair and efficient decisions in various real-world situations! Jump to the questions
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Worksheet preview and key skills
Worksheet preview
Practise sharing by ratio with this self-marking maths worksheet.
The interactive worksheet below generates questions, gives instant feedback, and lets students record their score.
What you’ll practise
- Adding the ratio parts to find the total number of parts.
- Finding the value of one part.
- Multiplying to find each share.
- Checking the shares add to the original total.
Use the interactive worksheet below, or read the Topic guide for the method and worked example.
Answer the following ratio sharing questions.
Topic guide
What this worksheet practises
This worksheet practises sharing an amount into a given ratio. Ratios are used to divide quantities unequally, and are commonly found in problems involving money, recipes, or dividing physical materials.
Key method
The standard method for sharing an amount by a ratio involves finding the value of a single "part".
- Add the numbers in the ratio together to find the total number of parts.
- Divide the total amount by the total number of parts to find the value of one single part.
- Multiply the value of one part by each number in the original ratio to find each person's share.
Worked example
Share £40 in the ratio 3:5.
Step 1: Find the total parts.
3 + 5 = 8 parts
Step 2: Find the value of one part.
£40 ÷ 8 = £5 per part
Step 3: Multiply to find each share.
First share (3 parts): 3 × £5 = £15
Second share (5 parts): 5 × £5 = £25
The shares are £15 and £25.
How to check your answer
To confirm your calculation is correct, simply add your final shares together. In the example above, £15 + £25 = £40, which matches the original total amount being shared.