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Ratio Problems for 6th Graders
Welcome to our Ratio Problems for 6th graders page.
Here you will find our range of 6th Grade Ratio Problem worksheets
which will help your child apply and practice their Math skills to solve a range of basic ratio problems.
There is also a quick quiz at the bottom of the page where you can test your skill online and get immediate feedback!
Ratio Problems for 6th Graders
If you are looking for a comprehensive set of ratio problems designed specially for 6th grade students then look no further!
We have a range of different ratio problems covered in our worksheets including:
- part-to-part ratio problems
- part-to-whole ratio problems (ratio and proportion)
- problems involving scaling up and scaling down ratios
- simplifying ratio problems
- completing missing numbers in ratio tables
The sheets involve using and applying knowledge to ratios to solve problems.
The sheets have been put in order of difficulty, with the easiest first. They are aimed at students in 6th grade.
Each problem sheet comes complete with an answer sheet.
Using these sheets will help your child to:
- apply their ratio skills;
- apply their knowledge of fractions;
- solve a range of word problems.
Ratio Problems for 6th Graders Worked Examples
Here are some worked examples for each type of ratio problems.
Part-to-Part Ratio Problems
- Part-to-part ratio problems involve solving typical ratio problems where you are looking at the ratio of one thing to another thing.
- These problems often involve scaling up or scaling down ratios
Example 1) The ratio of goats to sheep in a field is 2:5. If there are 12 goats, how many sheep will there be?
The first step is to write the ratio down:
The ratio of goats to sheep is 2:5
The next step is to scale up the ratio for 12 goats.
To do this, we need to multiply both ratio parts by 6 (since 2 x 6 = 12)
2 goats : 5 sheep = 12 goats : 30 sheep
Answer: if there are 12 goats, then there will be 30 sheep.
Part-to-Whole Ratio Problems
- Part-to-whole ratios involve looking at the ratio of one thing compared to the whole set of things.
- Part-to-whole ratios are very similar to proportion - the only difference is that proportion is normally written as a fraction.
Example 2) The ratio of swimmers to non-swimmers in a group of students is 5:3.
Write this as a ratio of swimmers to the whole group.
The first step is to write the ratio down:
5 swimmers : 3 non-swimmers
Total of students = 8
So the ratio of swimmers to the whole group is 5:8
What proportion of students in the group can swim?
There are 5 out of 8 swimmers.
The proportion of swimmers is 5/8
Scaling up and Scaling down Ratios
- we can find an equivalent ratio by scaling ratios up and scaling ratios down
- we scale ratios up by multiplying all the ratio parts by the same number.
- we scale ratios down by dividing all the ratio parts by the same number.
- we often use ratio tables for scaling up ratios lots of time
Examples of scaling ratios up
4:5 can scale up to an equivalent ratio 8:10 by multiplying both ratio parts by 2
3:5:2 can scale up to an equivalent ratio 30:50:20 by multiplying all the ratio parts by 10
Simplifying Ratio Problems
- simplifying ratios involves scaling ratios down until there are no more common factors
- we scale the ratios down by dividing all the ratio parts by the same number
Example 3) There are 24 ducks and 18 geese in a pond. Write this as a ratio in simplest form.
The first step is to write the ratio down:
24 ducks : 18 geese
A common factor of 24 and 18 is 2, so we need to divide both ratio parts by 2
24 ducks : 18 geese = 12 ducks : 9 geese
A common factor of 12 and 9 is 3, so we need to divide both ratio parts by 3.
12 ducks : 9 geese = 4 ducks : 3 geese
There are no more common factors so we have finished.
So the ratio of ducks to geese is 4:3 in simplest form
Ratio Problems for 6th Graders Worksheets
Visual Ratio Problems
Ratio Tables
Ratio Part-to-Part Problems
Ratio Part-to-Whole Problems
These sheets focus on ratio part-whole questions and also finding the proportion of a value out of the whole.
Ratio Problems for 6th Graders Mixed Problems
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
Looking for some harder ratio worksheets?
We have created a series of worksheets at a more challenging level for 7th graders.
If the sheets on this page are too easy, then check out the ones below!
How to do Ratio Problems
Need some help understanding what a ratio is and how to solve ratio problems?
Our How to do Ratio Problems page has all the information you need to master this skill!
More Ratio & Unit Rate Worksheets
These sheets are a great way to introduce ratio of one object to another using visual aids.
The sheets in this section are at a more basic level than those on this page.
We also have some ratio and proportion worksheets to help learn these interrelated concepts.
Ratio Word Problems Online Quiz
The link below will open the quiz in a dedicated quiz page or you can preview a copy of the quiz underneath.
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.
Ratio Word Problems Online Quiz
This quick quiz tests your knowledge and skill at solving word problems involving ratios.
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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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