Ratio and Proportion Worksheet

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.

Ratio and Proportion Worksheets

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.

How do Ratio and Proportion work?

How to work out Ratios and Proportions

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:

proportion example fish 1 image

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 35.

There are 2 blue fish out of 5 fish, so the proportion of blue fish is 25.


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:

proportion example snails 1 image

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:

proportion example snails 1 image

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 26. This can be simplified to 13.

The proportion of red snails is 46. This can be simplified to 23.

Find the Ratio and Proportion Worksheets

Sheets 1 to 3 involve finding simple ratios and proportions with no need to convert to lowest terms.

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.

Ratio and Proportion Color In Worksheets

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.

More Recommended Math Worksheets

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

More Ratio Worksheets

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

We also have a collection of ratio word problem worksheets.

5th Grade Percentage 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.

Related Fraction Worksheets

Ratio and Proportion Online Quiz

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' field which is optional. We collect this information so that if a class of students is taking a quiz, the individual results can be recorded along with the first name of the student.

We also collect the results from the quizzes which we use to help us to develop our resources.

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

If the error message 'File Unavailable' should appear in a pop-up window with a 'RELOAD' option in the bottom right corner of the screen:

  • Don't click the RELOAD link - it doesn't do anything
  • click anywhere on the screen but not inside the pop-up window
  • the pop-up window should disappear and you should be able to see your results.
  • NB. This error is a Google error in the Google Quiz app - it is currently unresolved!

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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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

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