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Welcome to our Ratio and Proportion worksheet page.

Here you will find our range of 6th Grade worksheets
which will help your child learn about ratios and proportions in a practical context.

Our ratio and proportion worksheets have all been designed to use pictures and practical contexts to support understanding.

The sheets have been put in order of difficulty, with the easiest first.

Each problem sheet comes complete with an answer sheet.

There are two sections to our worksheets:

- the first section involves using the image to work out the ratios and proportions involved.
- the second section involves coloring in the objects to show the required ratio, and working out the proportion of one object to the whole set.

Using these sheets will help your child to:

- learn about how ratio works;
- write and use ratios in their lowest terms;
- understand what proportion is and learn to show proportion in simplest form.

Want to test yourself to see how well you have understood this skill?.

- Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

When we look at ratios, we are usually looking at the relationship of one object compared to another.

When we are looking at proportions, we are looking at one object compared to the whole set of objects.

Proportions are usually written as fractions.

Let's have a look at the example below:

There are 3 orange fish and 2 blue fish, so the ratio of orange fish to blue fish is 3:2.

There are 3 orange fish out of 5 fish, so the proportion of orange fish is ^{3}⁄_{5}.

There are 2 blue fish out of 5 fish, so the proportion of blue fish is ^{2}⁄_{5}.

What does lowest term ratio mean?

Just like fractions, ratios can be simplified.

We can simplify ratios by finding common factors of the numbers involved and dividing them all by the common factors.

The ratios are in lowest terms (or simplest form) when there are no more common factors except 1.

Look at the example below:

The ratio of yellow snails to red snails is 2 to 4 or 2 : 4.

Because these two numbers have a common factor of 2, they can both be divided by 2 to give a simpler ratio.

So 2 : 4 = 1 : 2

There are now no common factors apart from 1, so we cannot simplify the ratio further.

So the ratio of yellow snails to red snails in lowest terms is 1 : 2.

This means that there 1 yellow snail for every 2 red snails.

How can we simply the proportion?

The proportion is usually written as a fraction.

We can simplify the proportion by writing the fraction in simplest form.

Look at the snail example again:

There are 2 yellow snails and 4 red snails, so 2 out of 6 snails are yellow and 4 out of 6 snails are red.

The proportion of yellow snails is ^{2}⁄_{6}. This can be simplified to ^{1}⁄_{3}.

The proportion of red snails is ^{4}⁄_{6}. This can be simplified to ^{2}⁄_{3}.

Sheets 1 to 3 involve finding simple ratios and proportions with no need to convert to lowest terms. They are great as an introduction to ratio and proportion.

Sheets 4 and 5 involve recording ratios and proportions in lowest terms.

Sheet 6 involves recording ratios and proportions in lowest terms to 3 different objects. It is the hardest sheet.

These sheets involve coloring the objects according to the given ratios and working out the proportions.

Sheet 1 involves coloring in objects and recording numbers of objects where the ratios match the total number of objects.

Sheet 2 is similar to Sheet 1, but the number of objects is sometimes a multiple of the ratios.

Sheet 3 involves coloring 3 different objects and working out each of the 3 proportions according to the given ratios.

Take a look at some more of our worksheets similar to these.

We have a selection of other ratio worksheets, which involve only ratio questions.

We also have a collection of ratio word problem worksheets.

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quiz tests your skill and apply your knowledge of ratio and proportion here.

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How to Print or Save these sheets 🖶

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Follow these 3 steps to get your worksheets printed perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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