MATH Worksheets 4 Kids

Child Login

  • Kindergarten
  • Number charts
  • Skip Counting
  • Place Value
  • Number Lines
  • Subtraction
  • Multiplication
  • Word Problems
  • Comparing Numbers
  • Ordering Numbers
  • Odd and Even
  • Prime and Composite
  • Roman Numerals
  • Ordinal Numbers
  • In and Out Boxes
  • Number System Conversions
  • More Number Sense Worksheets
  • Size Comparison
  • Measuring Length
  • Metric Unit Conversion
  • Customary Unit Conversion
  • Temperature
  • More Measurement Worksheets
  • Writing Checks
  • Profit and Loss
  • Simple Interest
  • Compound Interest
  • Tally Marks
  • Mean, Median, Mode, Range
  • Mean Absolute Deviation
  • Stem-and-leaf Plot
  • Box-and-whisker Plot
  • Permutation and Combination
  • Probability
  • Venn Diagram
  • More Statistics Worksheets
  • Shapes - 2D
  • Shapes - 3D
  • Lines, Rays and Line Segments
  • Points, Lines and Planes
  • Transformation
  • Quadrilateral
  • Ordered Pairs
  • Midpoint Formula
  • Distance Formula
  • Parallel, Perpendicular and Intersecting Lines
  • Scale Factor
  • Surface Area
  • Pythagorean Theorem
  • More Geometry Worksheets
  • Converting between Fractions and Decimals
  • Significant Figures
  • Convert between Fractions, Decimals, and Percents
  • Proportions
  • Direct and Inverse Variation
  • Order of Operations
  • Squaring Numbers
  • Square Roots
  • Scientific Notations
  • Speed, Distance, and Time
  • Absolute Value
  • More Pre-Algebra Worksheets
  • Translating Algebraic Phrases
  • Evaluating Algebraic Expressions
  • Simplifying Algebraic Expressions
  • Algebraic Identities
  • Quadratic Equations
  • Systems of Equations
  • Polynomials
  • Inequalities
  • Sequence and Series
  • Complex Numbers
  • More Algebra Worksheets
  • Trigonometry
  • Math Workbooks
  • English Language Arts
  • Summer Review Packets
  • Social Studies
  • Holidays and Events
  • Worksheets >
  • Pre-Algebra >

Ratio Worksheets

Immerse yourself in practice with our printable ratio worksheets. Whether it is part-to-part ratios, part-to-whole ratios, identifying parts from the whole, or finding the whole from the parts, dividing quantities, generating equivalent ratios, or expressing the ratio in three different ways, that you are looking for, these pdfs have them all covered for your grade 5 through grade 8 learners. Instantly evaluate your ratio problems with the answer keys provided. Our free ratio worksheets are a must-have to get the ball rolling!

Part-to-Part Ratio | Level-1

Part-to-Part Ratio | Level-1

Perk up with these part-to-part ratio worksheets and get children in grade 5 and grade 6 to count how many of one thing there is as compared to another and express it as a ratio.

  • Download the set

Part-to-Part Ratio | Level-2

Part-to-Part Ratio | Level-2

Fuel learning with these ratio pdfs where the two sets of objects are mixed up. Count the number of each kind and frame a ratio comparing the size of one number to the size of the other.

Part-to-Whole Ratio | Level-1

Part-to-Whole Ratio | Level-1

Comparing the number of butter cookies to the assorted cookies in a jar is an example of part-to-whole ratios. Measure the quantity of one item against the total and write the ratio.

Part-to-Whole Ratio | Level-2

Part-to-Whole Ratio | Level-2

Upscale with these printable part-to-whole ratio worksheets. Direct children to count the number of specified objects, add the three terms to find the whole and express them as a ratio.

Expressing Ratio in Three Ways | Pictures

Expressing Ratio in Three Ways | Pictures

Get acquainted with the different representations of a ratio. Count the two different sets of pictures and express the ratio by using "to", the colon symbol ":", and the fraction notation.

Representing Ratio in Three Ways | Standard

Representing Ratio in Three Ways | Standard

Doing away with pictures and presenting ratio in word format, these ratio worksheets are a sure-fire way to help learners transit easily as they read phrases and express the ratio in three ways.

Drawing Shapes to Represent the Ratio

Drawing Shapes to Represent the Ratio

Break away from the humdrum of regular printable ratio worksheets and get children to stay in the groove as they follow the instructions and sketch shapes to represent the ratio.

Coloring Objects to Represent the Ratio

Coloring Objects to Represent the Ratio

Add a splash of color with these pdf worksheets where 5th grade, and 6th grade children are expected to color the specified number of objects as instructed and figure out the ratio.

Reducing Ratios to the Lowest Terms | Easy

Reducing Ratios to the Lowest Terms | Easy

Reducing is nothing but converting the ratio to its simplest form. Divide the antecedent and the consequent terms of the ratio, which are numbers within 50, by the GCF to reduce the ratio.

Reducing Ratios to the Lowest Terms | Moderate

Reducing Ratios to the Lowest Terms | Moderate

Raise the bar for grade 6 and grade 7 learners with these reducing the ratios to the lowest terms worksheets where the number range gradually increases to 100.

Simplifying Ratios Involving Unit Conversion | Easy

Simplifying Ratios Involving Unit Conversion | Easy

Take your simplifying ratio skills to new heights with these pdfs. Using appropriate conversion formulas, make the units uniform and reduce the ratio to the simplest terms.

Simplifying Ratios Involving Unit Conversion | Moderate

Simplifying Ratios Involving Unit Conversion | Moderate

Bring uniformity in the units before reducing the ratio to lowest terms as you make headway with these printable simplifying ratio worksheets involving numbers within 100.

Finding the Parts from the Whole

Finding the Parts from the Whole

Add up the terms of the ratio. Divide the whole quantity by the sum of the parts to find the unit rate. Multiply each term with the unit rate to find the two parts. Not as complicated as it sounds!

Finding the Whole from Parts

Finding the Whole from Parts

The ratio of two numbers and the quantity of one part is provided. Scale up the other term by multiplying it and figure out the other quantity, add the two quantities to find the whole.

Dividing Quantities into 3-Part Ratios

Dividing Quantities into 3-Part Ratios

Add the three terms to find the total number of parts the quantity should be divided into. Multiply each term in the ratio with the unit rate and share the quantity in the given ratio.

Writing the Equivalent Ratios

Writing the Equivalent Ratios

Scale up each ratio by multiplying the antecedent and the consequent terms by the same number and write an equivalent ratio and complete the table with the missing equivalent ratios.

Finding Unknown Quantities from Equivalent Ratios

Finding Unknown Quantities from Equivalent Ratios

Instruct 7th grade and 8th grade learners to simplify ratios and check for equivalence, work out the unknown quantity in an equivalent equation, and solve word problems too.

Ratio Word Problems

Ratio Word Problems

Go beyond books and practice the real-time application of ratio concepts as you solve word problems involving part-to-part ratios, part-to-whole ratios, and much more.

(27 Worksheets)

Proportion Worksheets

Proportion Worksheets

Comprehend the distinction between ratio and proportion with this batch of proportion worksheets offering exercises like finding proportions, identifying them from graphs, and more!

(120 Worksheets)

Related Worksheets

» Equivalent Fractions

» Decimals

» Percent

» Fractions

Become a Member

Membership Information

Printing Help

How to Use Online Worksheets

How to Use Printable Worksheets

Privacy Policy

Terms of Use

Facebook

Copyright © 2024 - Math Worksheets 4 Kids

This is a members-only feature!

Happy Learning!

Ratio Worksheets

  • Kindergarten

 - finding-ratios-visual worksheet

  • Number Charts
  • Multiplication
  • Long division
  • Basic operations
  • Telling time
  • Place value
  • Roman numerals
  • Fractions & related
  • Add, subtract, multiply,   and divide fractions
  • Mixed numbers vs. fractions
  • Equivalent fractions
  • Prime factorization & factors
  • Fraction Calculator
  • Decimals & Percent
  • Add, subtract, multiply,   and divide decimals
  • Fractions to decimals
  • Percents to decimals
  • Percentage of a number
  • Percent word problems
  • Classify triangles
  • Classify quadrilaterals
  • Circle worksheets
  • Area & perimeter of rectangles
  • Area of triangles & polygons
  • Coordinate grid, including   moves & reflections
  • Volume & surface area
  • Pre-algebra
  • Square Roots
  • Order of operations
  • Scientific notation
  • Proportions
  • Ratio word problems
  • Write expressions
  • Evaluate expressions
  • Simplify expressions
  • Linear equations
  • Linear inequalities
  • Graphing & slope
  • Equation calculator
  • Equation editor
  • Elementary Math Games
  • Addition and subtraction
  • Math facts practice
  • The four operations
  • Factoring and number theory
  • Geometry topics
  • Middle/High School
  • Statistics & Graphs
  • Probability
  • Trigonometry
  • Logic and proof
  • For all levels
  • Favorite math puzzles
  • Favorite challenging puzzles
  • Math in real world
  • Problem solving & projects
  • For gifted children
  • Math history
  • Math games and fun websites
  • Interactive math tutorials
  • Math help & online tutoring
  • Assessment, review & test prep
  • Online math curricula
→ → Ratios

Find here an unlimited supply of worksheets with simple word problems involving ratios, meant for 6th-8th grade math. In , the problems ask for a specific ratio (such as, " "). In , the problems are the same but the ratios are supposed to be simplified.

contains varied word problems, similar to these:

Options include choosing the number of problems, the amount of workspace, font size, a border around each problem, and more. The worksheets can be generated as PDF or html files.


Each worksheet is randomly generated and thus unique. The and is placed on the second page of the file.

You can generate the worksheets — both are easy to print. To get the PDF worksheet, simply push the button titled " " or " ". To get the worksheet in html format, push the button " " or " ". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:



What is the ratio given in the word problem? (grade 6)

   
 

What is the ratio given in the word problem? (with harder numbers; grade 6)

   
 

Solve ratio word problems (grade 7)
 

   
 

Solve ratio word problems
(more workspace; grade 7)

   
 

Use the generator to make customized ratio worksheets. Experiment with the options to see what their effect is.

 
(These determine the number of problems)


(only for levels 1 & 2):
      Range from
Page orientation:
    Font Size: 


Workspace: lines below each problem
Additional title & instructions  (HTML allowed)


Primary Grade Challenge Math cover

Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

Super Teacher Worksheets

Addition (Basic)

Addition (Multi-Digit)

Algebra & Pre-Algebra

Comparing Numbers

Daily Math Review

Division (Basic)

Division (Long Division)

Hundreds Charts

Measurement

Multiplication (Basic)

Multiplication (Multi-Digit)

Order of Operations

Place Value

Probability

Skip Counting

Subtraction

Telling Time

Word Problems (Daily)

More Math Worksheets

Reading Comprehension

Reading Comprehension Gr. 1

Reading Comprehension Gr. 2

Reading Comprehension Gr. 3

Reading Comprehension Gr. 4

Reading Comprehension Gr. 5

Reading Comprehension Gr. 6

Reading & Writing

Reading Worksheets

Cause & Effect

Daily ELA Review

Fact & Opinion

Fix the Sentences

Graphic Organizers

Synonyms & Antonyms

Writing Prompts

Writing Story Pictures

Writing Worksheets

More ELA Worksheets

Consonant Sounds

Vowel Sounds

Consonant Blends

Consonant Digraphs

Word Families

More Phonics Worksheets

Early Literacy

Build Sentences

Sight Word Units

Sight Words (Individual)

More Early Literacy

Punctuation

Subjects and Predicates

More Grammar Worksheets

Spelling Lists

Spelling Grade 1

Spelling Grade 2

Spelling Grade 3

Spelling Grade 4

Spelling Grade 5

Spelling Grade 6

More Spelling Worksheets

Chapter Books

Charlotte's Web

Magic Tree House #1

Boxcar Children

More Literacy Units

Animal (Vertebrate) Groups

Butterfly Life Cycle

Electricity

Matter (Solid, Liquid, Gas)

Simple Machines

Space - Solar System

More Science Worksheets

Social Studies

Maps (Geography)

Maps (Map Skills)

More Social Studies

Back to School

Columbus Day

More Holiday Worksheets

Puzzles & Brain Teasers

Brain Teasers

Logic:  Addition Squares

Mystery Graph Pictures

Number Detective

Lost in the USA

More Thinking Puzzles

Teacher Helpers

Teaching Tools

Award Certificates

More Teacher Helpers

Pre-K and Kindergarten

Alphabet (ABCs)

Numbers and Counting

Shapes (Basic)

More Kindergarten

Worksheet Generator

Word Search Generator

Multiple Choice Generator

Fill-in-the-Blanks Generator

More Generator Tools

Full Website Index

Ratio Worksheets

Compare two quantities with ratios. These worksheets feature basic and intermediate-level ratio activities.

Ratio Worksheets

Logged in members can use the Super Teacher Worksheets filing cabinet to save their favorite worksheets.

Quickly access your most used files AND your custom generated worksheets!

Please login to your account or become a member and join our community today to utilize this helpful feature.

Members can add this to their file cabinet

Learn to calculate the probability of certain events with these printable worksheets.

This page contains the full index of math worksheets on our website.

Images of Worksheets

Ratio Printables

PDF with answer key:

PDF no answer key:

Corbettmaths

Ratio Practice Questions

Click here for questions, click here for answers, gcse revision cards.

homework on ratio

5-a-day Workbooks

homework on ratio

Primary Study Cards

homework on ratio

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

6th Grade Ratio Worksheets

6th Grade ratio worksheets are used to give students a good understanding of how to deal with ratio and proportion problems. The questions in these worksheets range from simple interpretation sums to word problems that require analysis.

Benefits of 6th Grade Math Ratios Worksheets

Ratios are used very frequently in daily life. It is good for young minds to have a clear foundation of this concept. By solving the problems in 6th grade ratio worksheets, children can increase their speed and accuracy. Questions are structured in a way to improve a student's logical and analytical abilities. These 6th grade math worksheets are provided with answer keys with step-by-step solutions to help students in case they get stuck while solving a question.

Printable PDFs for Grade 6 Ratio Worksheets

6th Grade math ratio worksheets are easy to use and available in PDF format that is free to download, enabling students to access quality education offline.

  • Math 6th Grade Ratio Worksheet
  • 6th Grade Ratio Math Worksheet
  • Sixth Grade Ratio Worksheet
  • Grade 6 Math Ratio Worksheet

Explore more topics at Cuemath's Math Worksheets .

A ratio is a comparison between two or more numbers. Help learners discover how to identify and record ratios and use the greatest common factors to find the simplified equivalent ratios with this practice worksheet. Colorful graphics help students connect concepts to strategies. Designed for sixth graders, this math worksheet supports students as they learn to write and simplify ratios. For more practice with this skill, check out the Writing Ratios worksheet next!

View aligned standards

  • Skills by Standard
  • Skills by Grade
  • Skills by Category

Go to profile

  • Assignments
  • Assessments
  • Report Cards
  • Our Teachers

homework on ratio

Common Core - State Standards Initiative

Understanding ratios is crucial for solving problems relating to proportions and percents. Math Games makes reviewing this higher-level math skill a breeze, with our suite of enjoyable educational games that students won’t want to stop playing!

Our free resources include mobile-compatible game apps, PDF worksheets, an online textbook and more. Students can use these tools to blend study with play as they practice:

  • Describing pictures as ratios
  • Calculating percents and prices
  • Comparing ratios
  • Solving proportions
  • Finding the slope of a graph

Help the kids in your life look forward to reviewing math! Our games are tailored to a variety of grade levels and become easier or more challenging depending on how well users are playing. Select one of the skills listed above to check them out!

A ratio compares values .

A ratio says how much of one thing there is compared to another thing.

Ratios can be shown in different ways:

Use the ":" to separate the values:   3 : 1
     
Or we can use the word "to":   3 to 1
     
Or write it like a fraction:  

A ratio can be scaled up:

Try it Yourself

Using ratios.

The trick with ratios is to always multiply or divide the numbers by the same value .

is the same as ×2 ×2

 

Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk.

So the ratio of flour to milk is 3 : 2

To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4:

3 ×4 : 2 ×4 = 12 : 8

In other words, 12 cups of flour and 8 cups of milk .

The ratio is still the same, so the pancakes should be just as yummy.

"Part-to-Part" and "Part-to-Whole" Ratios

The examples so far have been "part-to-part" (comparing one part to another part).

But a ratio can also show a part compared to the whole lot .

Example: There are 5 pups, 2 are boys, and 3 are girls

Part-to-Part:

The ratio of boys to girls is 2:3 or 2 / 3

The ratio of girls to boys is 3:2 or 3 / 2

Part-to-Whole:

The ratio of boys to all pups is 2:5 or 2 / 5

The ratio of girls to all pups is 3:5 or 3 / 5

Try It Yourself

We can use ratios to scale drawings up or down (by multiplying or dividing).

The height to width ratio of the Indian Flag is

So for every (inches, meters, whatever) of height
there should be of width.

If we made the flag 20 inches high, it should be 30 inches wide.

If we made the flag 40 cm high, it should be 60 cm wide (which is still in the ratio 2:3)

Example: To draw a horse at 1/10th normal size, multiply all sizes by 1/10th

This horse in real life is 1500 mm high and 2000 mm long, so the ratio of its height to length is

1500 : 2000

What is that ratio when we draw it at 1/10th normal size?

1500 : 2000   = 1500 : 2000
    =

We can make any reduction/enlargement we want that way.

Allie measured her foot and it was 21cm long, and then she measured her Mother's foot, and it was 24cm long.

"I must have big feet, my foot is nearly as long as my Mom's!"

But then she thought to measure heights, and found she is 133cm tall, and her Mom is 152cm tall.

In a table this is:

  Allie Mom
Length of Foot: 21cm 24cm
Height: 133cm 152cm

The "foot-to-height" ratio in fraction style is:

Allie:   Mom:

We can simplify those fractions like this:

And we get this (please check that the calcs are correct):

"Oh!" she said, "the Ratios are the same".

"So my foot is only as big as it should be for my height, and is not really too big."

You can practice your ratio skills by Making Some Chocolate Crispies

Helping with Math

Ratios are one way of comparing amounts of things. Ratios can tell us how much bigger, or smaller, one thing is than another. In other words, ratios show how much of one thing we have in relation to another thing.

In this  Ratio and Proportion  section you will find additional guidance on  direct proportion , help with  simplifying ratios , and guidance on  using ratio and proportion .

Note: You can also get to these pages by using the menu towards the top of this page.

Ratio and Proportion Worksheet: Proportional Ratios

Ratio and proportion worksheet: simplifying ratios(1 of 2), ratio and proportion worksheet: writing ratios(2 of 2), ratio and proportion worksheet: writing ratios(1 of 2), changing recipe quantities worksheet, ratio and rates worksheet, writing ratio worksheet, example of ratio.

In the example below we are trying to get purple paint by mixing cans of red and blue paint.

4 parts blue paint
3 parts red paint

The ratio of blue to red paint is 4:3

Writing ratios

There are three ways that ratios are commonly written:

  • in words e.g. 4 to 3
  • with a colon (odds notation) e.g. 4:3
  • fractional notation e.g. 4/3

Watch the words, numbers, and order in ratios

When writing ratios be careful to  write the numbers in the same order as the words  (or things) to which they refer.

Identifying Ratios Worksheets

  •  Writing Ratios (1 of 2)  – based on graphical questions
  •  Writing Ratios (2 of 2)

You will find  more ratio and proportion worksheets here

Related and Popular Resources on HelpingWithMath.com

Search Functionality Update!

To optimize your search experience, please refresh the page.

Windows: Press Ctrl + F5

Mac: Use Command + Shift+ R or Command + Option + R

Mobile: Tap and hold the refresh icon, then select "Hard Refresh" or "Reload Without Cache" for an instant upgrade!

  • Child Login
  • Number Sense
  • Measurement
  • Pre Algebra
  • Figurative Language
  • Reading Comprehension
  • Reading and Writing
  • Science Worksheets
  • Social Studies Worksheets
  • Math Worksheets
  • ELA Worksheets
  • Online Worksheets

Browse By Grade

  • Become a Member

Grammar

  • Kindergarten

Worksheets by Grade

  • Skip Counting
  • Place Value
  • Number Lines
  • Subtraction
  • Multiplication
  • Word Problems
  • Comparing Numbers
  • Ordering Numbers
  • Odd and Even Numbers
  • Prime and Composite Numbers
  • Roman Numerals
  • Ordinal Numbers

Measurement

  • Big vs Small
  • Long vs Short
  • Tall vs Short
  • Heavy vs Light
  • Full, Half-Full, or Empty
  • Metric Unit Conversion
  • Customary Unit Conversion
  • Temperature

Statistics and Data

  • Tally Marks
  • Mean, Median, Mode, Range
  • Mean Absolute Deviation
  • Stem and Leaf Plot
  • Box and Whisker Plot
  • Permutations
  • Combinations

Geometry

  • Lines, Rays, and Line Segments
  • Points, Lines, and Planes
  • Transformation
  • Ordered Pairs
  • Midpoint Formula
  • Distance Formula
  • Parallel and Perpendicular Lines
  • Surface Area
  • Pythagorean Theorem

Pre-Algebra

  • Significant Figures
  • Proportions
  • Direct and Inverse Variation
  • Order of Operations
  • Scientific Notation
  • Absolute Value

Algebra

  • Translating Algebraic Phrases
  • Simplifying Algebraic Expressions
  • Evaluating Algebraic Expressions
  • Systems of Equations
  • Slope of a Line
  • Equation of a Line
  • Quadratic Equations
  • Polynomials
  • Inequalities
  • Determinants
  • Arithmetic Sequence
  • Arithmetic Series
  • Geometric Sequence
  • Complex Numbers
  • Trigonometry

Ratio Worksheets

  • Pre-Algebra >

Explore this compilation of printable ratio worksheets with a range of ratio problems to understand the concept of ratio. These pdf worksheets cover key skills like ratio of part to part, equivalent ratios, writing ratios in three different ways, and much more. Each worksheet is aligned with common core curriculum. Our free worksheets are a great place to make a head start!

Finding Ratios

Access these worksheets on ratio of part to part and ratio of part to whole to provide practice to 6th grade and 7th grade students. Look at the pictures and express them as ratios.

Finding Ratios

Equivalent Ratios

Find whether the given ratios are equivalent in part A and cross multiply the equivalent ratios to find the missing value in part B of these printable ratio worksheets.

Equivalent Ratios

Reduce each Ratio to its Lowest Term

These pdf ratio worksheets focus on how to reduce the given ratio to its lowest form. Divide each number by the greatest common factor to express the ratio in its simplest form.

Reduce each Ratio to its Lowest Term

Writing Ratio in Three Ways

Test your ability on how to write ratios in three different ways: in words, with a colon and as a fraction with these printable ratio worksheets.

Writing Ratio in Three Ways

Sharing a Quantity in the Given Ratio

Give your 6th grade and 7th grade students ample practice on dividing the given number and finding the share of each part with these pdf worksheets on ratio.

Sharing a Quantity in the Given Ratio

Related Printable Worksheets

▶ Proportions

▶ Percent

▶ Fractions

Tutoringhour

What we offer, information.

  • Membership Benefits
  • How to Use Online Worksheets
  • How to Use Printable Worksheets
  • Printing Help
  • Testimonial
  • Privacy Policy
  • Refund Policy

Copyright © 2024 - Tutoringhour

Facebook

You must be a member to unlock this feature!

Sign up now for only $29.95/year — that's just 8 cents a day!

Printable Worksheets

  • 20,000+ Worksheets Across All Subjects
  • Access to Answer Key
  • Add Worksheets to "My Collections"
  • Create Custom Workbooks

Digitally Fillable Worksheets

  • 1100+ Math and ELA Worksheets
  • Preview and Assign Worksheets
  • Create Groups and Add Children
  • Track Progress

homework on ratio

  • HW Guidelines
  • Study Skills Quiz
  • Find Local Tutors
  • Demo MathHelp.com
  • Join MathHelp.com

Select a Course Below

  • ACCUPLACER Math
  • Math Placement Test
  • PRAXIS Math
  • + more tests
  • 5th Grade Math
  • 6th Grade Math
  • Pre-Algebra
  • College Pre-Algebra
  • Introductory Algebra
  • Intermediate Algebra
  • College Algebra

Ratios Proportions Proportionality Solving Word Problems Similar Figures Sun's Rays / Parts

What is a ratio?

A "ratio" is just a comparison between, or a relating of, two different things. Ratios are used to create proportions by setting two ratios equal to each other and solving for some unknown, and ratios can also be used to find per-unit rates such as how many mile a car can drive "per liter" or how many hours the average student at a given university spends studying "per week".

Content Continues Below

MathHelp.com

Ratios on MathHelp.com

What is an example of finding a ratio?

As an example of a ratio, someone can look at a group of people, count noses, and refer to the "ratio of men to women" in the group. Suppose there are thirty-five people, fifteen of whom are men. Then the rest are women, so:

35 − 15 = 20

...there are twenty women in the group. The language "the ratio of (this) to (that)" means that (this) comes before (that) in the comparison. So, if one were to express "the ratio of men to women", then the ratio, in English words, would be " 15 men to 20 women" (or just " 15 to 20 ").

Advertisement

The order of the items in a ratio is very important, and must be respected; whichever word came first in the ratio (when expressed in words), its number must come first in the ratio. If the expression had been "the ratio of women to men", then the in-words expression would have been " 20 women to 15 men" (or just " 20 to 15 ").

Expressing the ratio of men to women as " 15 to 20 " is expressing the ratio in words. There are two other notations for this " 15 to 20 " ratio:

odds notation: 15 : 20

You should be able to recognize all three notations; you will probably be expected to know them, and how to convert between them, on the next test. For example:

There are 16 ducks and 9 geese in a certain park. Express the ratio of ducks to geese as a ratio with a colon, as a fraction (do not reduce), and in words.

They want "the ratio of ducks to geese", so the number for the ducks comes first (or, for the fractional form, on top). So my answer is:

Consider the above park, with 16 ducks and 9 geese. Express the ratio of geese to ducks in all three formats.

This time, they want me to give them "the ratio of geese to ducks". I'll be using the exact same numbers but, in this case, the number of geese comes first (or, for the fractional form, on top). So my answer is:

The numbers were the same in each of the two exercises above, but the order in which they were listed differed, varying according to the order in which the elements of the ratio were expressed. In ratios, order is very important.

In a certain class, the ratio of passing grades to failing grades is 7 to 5 . How many of the 36 students failed the course?

So the representative group has 12 students in it, of which 7 passed and 5 failed. In particular, the fraction of the group that failed is given by dividing the number of flunking students by the total number of students in the representative group. That is:

( 5 / 12 )(36) = 15

So, of the class of 36 students, the class was not passed by:

15 students

The ratio from a representative group can also be used to provide percentage information.

In the class above, what percentage of students passed the class? (Round your answer to one decimal place.)

I already know that the representative group contains 12 students, of which 7 passed the class. Converting this to a percentage (by dividing, and then moving the decimal point, as explained here ), I get:

7/12 = 0.583333... = 58.3333...%

They want the answer rounded to one decimal place, so my answer is:

58.3% passed

In the park mentioned previously, the ratio of ducks to geese is 16 to 9 . How many of the 300 birds are geese?

(9/25)(300) = 108

This is the number they're wanting. In the entire park, there are:

Generally, ratio problems will just be a matter of stating ratios or simplifying them. For instance:

Express the following ratio in simplest form: $10 to $45

This exercise wants me to write the ratio as a reduced fraction. So first I'll form the fraction, and then I'll do the cancelling that leads to "simplest form".

$10 / $45 = $2 / $9 = 2 / 9

The dollar signs cancelled off, too, because they were the same, top and bottom, in the ratio's fractional form. So my answer is:

This reduced fraction is the ratio's expression in simplest fractional form. The units (being the "dollar" signs) cancelled on the fraction because the units (namely, the " $ " symbols) were the same on both values.

When both values in a ratio have the same unit or designator, there should be no unit or designator on the reduced form of the ratio. The units aren't factors, exactly, but they'll cancel in the same manner as do factors.

Express the following ratio in simplest form: 240 miles to 8 gallons

The terms in this ratio have different units, so they won't cancel off; there will be units on my simplified ratio. My simplification looks like this:

( 240 miles) / ( 8 gallons)

= ( 30 miles) / ( 1 gallon)

This particular ratio of units, "(miles)/(gallon)", has its own simplified form; namely, "miles per gallon", which is abbreviated as "mpg". So, in standard English, my answer is:

In contrast to the answer to the previous exercise, this exercise's answer did need to have units on it, since the units on the two parts of the ratio (namely, the "miles" and the "gallons") were not the same, and thus did not cancel each other off. When a ratio ends up with units (or dimensions) on it, the ratio may also be referred to as a "rate". In the case of the exercise above, the rate was the distance covered per unit-volume of fuel.

What is the length, in feet, of the playing area of an American football field (that is, the length of the field exclusive of the "end" zones)?

I know that the length of an American football field , exclusive of the "end" zones, is 100 yards. I also know that 3 feet are equal to 1 yard. I can set up this equality as a ratio. Because they've given me a measurement in "yards", I'll want the unit of "yards" to cancel off in my multiplication. Because of this, I'll state my ratio (of yards to feet) with the "feet" on top:

( 3 feet)/( 1 yard)

Now I can multiply the length they've given me by my conversion factor (being the ratio above), and simplify:

[( 3 feet)/( 1 yard)][ 100 yards]

= ( 3 feet)( 100 ) = 300 feet

This value is the number they're wanting, so my answer is:

For more on this topic, look at the " Cancelling / Converting Units " lesson.

Ratios are the comparison of one thing to another (miles to gallons, feet to yards, ducks to geese, et cetera). But their true usefulness comes in the setting up and solving of proportions.

You can use the Mathway widget below to practice converting ratios, expressed in "odds" notation, to fractional form. Try the entered exercise, or type in your own exercise. Then click the button and select "Convert to a Simplified Fraction" to compare your answer to Mathway's. (Or skip the widget, and continue on to the next page .)

Please accept "preferences" cookies in order to enable this widget.

(Click "Tap to view steps" to be taken directly to the Mathway site for a paid upgrade.)

URL: https://www.purplemath.com/modules/ratio.htm

Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7

Standardized Test Prep

College math, homeschool math, share this page.

  • Terms of Use
  • About Purplemath
  • About the Author
  • Tutoring from PM
  • Advertising
  • Linking to PM
  • Site licencing

Visit Our Profiles

homework on ratio

Ratio Tables Worksheets

What Are Ratio Tables? Ratios are when two quantities with the same unit are compared and these are denoted using colons. When solving ratio problems, students can use the ratio tables. However, not many students know what ratio tables are and how can they help them solve ratio problems. Therefore, we are going to start by understanding what ratio tables are and what are their applications. Ratio tables are structured lists of equivalent ratios. These lists help in understanding the relationship between ratios and the numbers. To solve ratio problems using tables, you can approach the problem in variety of different ways. First is simple addition. The second method is through multiplication. Both these methods include the trial and error approach.

Basic Lesson

Guides students through solving repeated ratio tables. The ratio of one column will repeat in the other three columns.

Intermediate Lesson

Demonstrates how to solve ratio tables with very large numbers.

Independent Practice 1

A really great activity for allowing students to understand the concepts of ratio tables.

Independent Practice 2

Students determine ratio tables in 20 assorted problems. The answers can be found below.

Homework Worksheet

Students are provided with 12 problems to achieve the concepts of ratio tables.

This tests the students ability to complete ratio tables.

Homework and Quiz Answer Key

Answers for the homework and quiz.

Answers for the lesson and practice sheets.

The Unknown...

When one of the four numbers in a proportion is unknown, cross products may be used to find the unknown number. This is called solving the proportion. An "x" is frequently used in place of the unknown.

homework on ratio

Home / United States / Math Classes / Worksheets / Ratio and Proportions Worksheets

Ratio and Proportions Worksheets

Ratio and proportions worksheets help students compare two similar quantities deriving a ratio. When both ratios in an e quation are equal, they are determined to be in proportion. Ratio and proportion concepts are crucial to young learners, in both math class and the real world. Printable ratio and proportion worksheets feature problems tied to real world experience. Worksheets may include questions regarding the expression and comparison of rations in simpler forms in relation to height, weight, distance, and time. These problems are presented using real-life scenarios such as adjusting a recipe when cooking or making a business deal. Ratio and proportion worksheets are a great study aid for young learners. ...Read More Read Less

Benefits of Ratio and Proportions Worksheets:

Develop logical reasoning :

Students can further develop their logical reasoning when they practice and solve problems regularly using ratio and proportions worksheets. These skills are beneficial not only in successively solving math problems, but in the real world as well.

Phased approach :

Ratio and proportions worksheets feature problems presented in a graded structure. The step-by-step design allows for students to begin with simple problems and gradually increase in difficulty level. As students move to higher level worksheets, their understanding of the concept can improve. 

Self-paced study :

Students are encouraged to work through the different levels of ratio and proportions worksheets at their own pace. Students can repeat worksheets when needed to develop an understanding of difficult concepts. 

Interactive formats :

Ratio and proportion worksheets are visually stimulating and interactive, which can keep a student engaged and prevent boredom.

  • Interactive Worksheets
  • Printable Worksheets

fyjh

  • 7th Grade Ratio And Proportions Worksheets

Choose Math Worksheets by Grade

Choose math worksheets by topic, ratio and proportions worksheets explained:.

Using ratio and proportion worksheets can instill confidence and a deeper understanding of complex math concepts. They can act as a homework aid to assist students needing extra practice. 

Ratios are generally expressed in their lowest terms, similar to fractions expressed in their lowest terms. While ratios compare between two quantifiable entities, proportions are equations with the ratios on both sides.  Printable ratio and proportions worksheets encourage students to solve expression problems in simpler forms, compare ratios, arrange ratios in ascending or descending orders and find a mean proportional between numbers.

As students progress to the higher grade levels, the printable ratio and proportions worksheets incorporate problems involving tables and graphs. Worksheets feature problems requiring the cross-product method, and problems using algebraic variables. 

Ratio and proportion worksheets come in many varieties, including:

  • Express ratios in numbers, decimals, and fractions
  • Reduce ratios to their simplest terms
  • Create equivalent ratios
  • Obtain missing terms in ratio and proportions
  • Use number sets to create proportions
  • Find solutions to ratio and proportion word problems
  • Find solutions to real-life ratio and proportion problems

Printable ratio and proportions worksheets are available in a large variety to facilitate extra study time in order to help students understand complex mathematical concepts. 

Printable Ratio and Proportions Worksheet PDFs:

Radio and proportions worksheets are available in easily downloadable HTML and PDF formats. They are randomly generated and printable at your convenience. They also come with an answer key that explains the basics needed to solve problems involving ratio and proportion concepts successfully. With regular practice of these worksheets students can enhance their knowledge of ratio and proportions.

What are the ratio and proportions worksheets about?

Ratio and proportions worksheets are free printable fun and interactive worksheets that contain questions based on ratio and proportions. These worksheets have detailed solutions of question that help in better understanding of concept.

What is ratio?

Ratio is the mathematical term to represent the comparison of two numbers and ratio is represented by either a/b or a : b

What is proportions?

Proportion is the equation that tells whether the two ratios are equal or not.

How ratio and proportion are used in daily life?

Ratio and proportions are used in various field as finance, shopping, mathematical modeling. While building houses we use ratio and proportion of instructural material. We can see the basic use of ration and proportion while cooking.

What are equivalent ratios?

The equivalent ratios are the ratios that describe the same relationship between numbers. The value of equivalent ratios is equivalent.

How are the ratio and proportions worksheets benefical for students?

The ratio and proportions worksheets by byju’s math have questions based on ratios and proportions. The solution has been provided using different methods that will help in better understanding the concept and developing self-assessment skills. The worksheet has different difficulty levels that will help in recording the progress. The worksheet has real-life examples that will help in how to apply concepts in real life.

  • International
  • Education Jobs
  • Schools directory
  • Resources Education Jobs Schools directory News Search

Ratio & Proportion: Homework Worksheets

Ratio & Proportion: Homework Worksheets

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

mrbuckton4maths

Last updated

12 October 2013

  • Share through email
  • Share through twitter
  • Share through linkedin
  • Share through facebook
  • Share through pinterest

docx, 35.8 KB

Tes classic free licence

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

felicitytaylor1

Empty reply does not make any sense for the end user

Straightforward and useful.

AnnaKirillovna

Excellent resource

lauralisasimpkins

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

   |        |        |        |    

What is the ratio of squares to triangles?

We use ratios to make comparisons between two things. When we express ratios in words, we use the word "to" -- we say "the ratio of something to something else" -- for example, the ratio of squares to triangles in the illustration below. Ratios can be written in several different ways.

Click on each word below to see the ratio of squares to triangles expressed in each way.

Multiplying or dividing each term by the same nonzero number will give an equal ratio. For example, the ratio 2:4 is equal to the ratio 1:2. To tell if two ratios are equal, use a calculator and divide. If the division gives the same answer for both ratios, then they are equal.

| |
  Ratios
  Proportions
  Distance, rate
    and time
  Similar figures
     

IMAGES

  1. 6th Grade Math Homework Sheets- Ratio & Proportional Relationships

    homework on ratio

  2. Free Printable Ratio Table Worksheets

    homework on ratio

  3. Ratio Analysis Homework

    homework on ratio

  4. Free Ratio, Percentage Math Worksheets pdf

    homework on ratio

  5. 6th Grade Math Homework / Practice Ratio and Rates by Math With Ms Yi

    homework on ratio

  6. Free Printable Ratios Worksheet for Sixth Grade

    homework on ratio

VIDEO

  1. Payroll accounting, fall 2023, chapter 5, reserve ratio, homework help

  2. درس Homework Ratio between areas and Application on circle مع أ/ شريف علي

  3. Ratio and Proportion in Hindi || अनुपात और समानुपात Part-2

  4. The Complete RATIO Guide

  5. Payroll, accounting, fall 2023, chapter 5, part three, reserve ratio, homework help

  6. Potential Problems with Ratio Analysis

COMMENTS

  1. Ratio Worksheets

    These Ratio Worksheets will produce problems where the students must write rates and unit rates from word phrases. These ratio worksheets will generate 10 Rates and Unit Rates problems per worksheet. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade. Ratios and Rates Worksheets.

  2. Ratio Worksheets

    Immerse yourself in practice with our printable ratio worksheets. Whether it is part-to-part ratios, part-to-whole ratios, identifying parts from the whole, or finding the whole from the parts, dividing quantities, generating equivalent ratios, or expressing the ratio in three different ways, that you are looking for, these pdfs have them all covered for your grade 5 through grade 8 learners.

  3. Ratio Worksheets

    Ratio Wording. 6rp1. This worksheet is designed to enhance children's understanding of mathematical ratios. It contains 12 carefully crafted problems, addressing practical examples such as vote distributions, home ages, combined genders, types of vehicles, clothing items, and game consoles.

  4. Free worksheets for ratio word problems

    Find here an unlimited supply of worksheets with simple word problems involving ratios, meant for 6th-8th grade math. In level 1, the problems ask for a specific ratio (such as, "Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts?"). In level 2, the problems are the same but the ratios are supposed to be simplified.

  5. Ratio Worksheets

    These worksheets feature basic and intermediate-level ratio activities. Look carefully at each picture and answer the question about the ratio of objects. Write each ratio three different ways. This worksheet has a picture of dogs, cats, turtles, and birds. Write ratios in the table to compare the number of each animal.

  6. Ratio Worksheets

    You may enter a message or special instruction that will appear on the bottom left corner of the Ratio Worksheet. Ratio Worksheet Answer Page. Include Ratio Worksheet Answer Page. Now you are ready to create your Ratio Worksheet by pressing the Create Button.

  7. Ratio Practice Questions

    The Corbettmaths Practice Questions on Ratio. Previous: Percentages of an Amount (Non Calculator) Practice Questions

  8. Ratio Worksheets

    These ratio worksheets can be downloaded for free in PDF format. Regular practice of these worksheets can help students score well in their exams. Ratio Worksheet - 1. Download PDF. Ratio Worksheet - 2. Download PDF. Ratio Worksheet - 3. Download PDF. Ratio Worksheet - 4.

  9. 6th Grade Ratio Worksheets

    6th Grade math ratio worksheets are easy to use and available in PDF format that is free to download, enabling students to access quality education offline. Explore more topics at Cuemath's Math Worksheets. Grade 6 Ratio Worksheets - Grab our free math worksheets featuring exercises in mathematics to ace the problem-solving methods of different ...

  10. Ratio Math Worksheets

    Ratio is an accurate and systematic manner of comparing quantities. This concept is fundamental to help us compare things logically and avoid biased decisions. Ratio provides the learners with an opportunity to discover and represent the relationship of two quantities — on how one value is bigger or smaller than the other. Also, ratio is a ...

  11. Ratios

    Ratios. A ratio is a comparison between two or more numbers. Help learners discover how to identify and record ratios and use the greatest common factors to find the simplified equivalent ratios with this practice worksheet. Colorful graphics help students connect concepts to strategies. Designed for sixth graders, this math worksheet supports ...

  12. Ratios

    Understanding ratios is crucial for solving problems relating to proportions and percents. Math Games makes reviewing this higher-level math skill a breeze, with our suite of enjoyable educational games that students won't want to stop playing! Our free resources include mobile-compatible game apps, PDF worksheets, an online textbook and more.

  13. Ratios

    Using Ratios. The trick with ratios is to always multiply or divide the numbers by the same value. Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk. So the ratio of flour to milk is 3 : 2. To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4: 3 ×4 : 2 ×4 = 12 : 8.

  14. Ratio and Proportion Worksheets

    Ratio and Proportion Worksheets. On this page you will find: a complete list of all of our math worksheets relating to Ratio & Proportion. Choose a specific addition topic below to view all of our worksheets in that content area. You will find addition lessons, worksheets, homework, and quizzes in each section.

  15. Ratio Math resources & worksheet generators

    The ratio of blue to red paint is 4:3. Writing ratios. There are three ways that ratios are commonly written: in words e.g. 4 to 3; with a colon (odds notation) e.g. 4:3; fractional notation e.g. 4/3; Watch the words, numbers, and order in ratios. When writing ratios be careful to write the numbers in the same order as the words (or things) to ...

  16. Ratio Worksheets

    Ratio. Explore this compilation of printable ratio worksheets with a range of ratio problems to understand the concept of ratio. These pdf worksheets cover key skills like ratio of part to part, equivalent ratios, writing ratios in three different ways, and much more. Each worksheet is aligned with common core curriculum.

  17. Ratio Tables Worksheets

    A ratio table is a set of equivalent (equal value) ratios presented in a table, in order to understand the relationship between the ratios and the numbers. In a ratio table, the ratio in one column repeats in all the other three columns. You get practical information to solve ratio problems by ratio tables. It is a structured list of equivalent ...

  18. PDF What Ratio Is It? RR 1

    rting to a Unit Rate2Convert each of these rates into a unit rate by dividing the top numbe. by the bottom number. Do. 120 miles hours =. 20 miles. 1 hour. 120 ÷ 6 = 20. 36 push-ups minutes. nit Rates to Compare3Use unit rates to solve the f. llowing word problems.1 Tom and Paul are.

  19. Ratios: What are They? How do They Work?

    A "ratio" is just a comparison between, or a relating of, two different things. Ratios are used to create proportions by setting two ratios equal to each other and solving for some unknown, and ratios can also be used to find per-unit rates such as how many mile a car can drive "per liter" or how many hours the average student at a given ...

  20. Ratio Tables Worksheets

    When one of the four numbers in a proportion is unknown, cross products may be used to find the unknown number. This is called solving the proportion. An "x" is frequently used in place of the unknown. Ratio Tables Worksheets- Includes math lessons, 2 practice sheets, homework sheet, and a quiz!

  21. Ratio and Proportions Worksheets

    Ratio and Proportions Worksheets Explained: Using ratio and proportion worksheets can instill confidence and a deeper understanding of complex math concepts. They can act as a homework aid to assist students needing extra practice. Ratios are generally expressed in their lowest terms, similar to fractions expressed in their lowest terms.

  22. KS3 Maths Ratio worksheet

    KS3 Maths Worksheet. Homework or Classwork. Objective: to be able to simplify ratios and share amounts by a given ratio A worksheet for simplifying and sharing with ratios. Starter has division practice, HCF recap and finding fractions of amounts. There is an extention exercise too. Please let me know what you think

  23. Ratio & Proportion: Homework Worksheets

    Ratio & Proportion: Homework Worksheets. Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. docx, 35.8 KB. docx, 18.31 KB. KS3 / GCSE ratio and proportion worksheets ideal for revision or homework. There is a self-assessment section at the end of each worksheet.

  24. Ratios and Proportions

    Ratios can be written in several different ways. Click on each word below to see the ratio of squares to triangles expressed in each way. Multiplying or dividing each term by the same nonzero number will give an equal ratio. For example, the ratio 2:4 is equal to the ratio 1:2. To tell if two ratios are equal, use a calculator and divide.