ratio problem solving worksheet

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:

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

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.

Ratio Worksheets

Dynamically Created Ratio Worksheets

Here is a graphic preview for all of the Ratio Worksheets . You can select different variables to customize these Ratio Worksheets for your needs. The Ratio Worksheets are randomly created and will never repeat so you have an endless supply of quality Ratio Worksheets to use in the classroom or at home. Our Ratio Worksheets are free to download, easy to use, and very flexible.

These Ratio Worksheets are a great resource for children in Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, and 8th Grade.

Click here for a Detailed Description of all the Ratio Worksheets .

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Tables with

Equivalent ratios.

Ratios from

Word phrases.

Ratios and Rate

Word problems.

Detailed Description for All Ratio Worksheets

Simple Ratio Worksheets These Ratio Worksheets will produce groups of symbols for the students to determine the ratio of the different symbols. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Equivalent Ratio Worksheets These Equivalent Ratio Worksheets will produce problems where the students must fill in a given table for a given ratio. They will be asked to identify if two ratios or equivalent and solve for unknown variables. These Ratio Worksheets are appropriate for 5th Grade, 6th Grade, and 7th Grade.

Tables with Equivalent Ratio Worksheets These Equivalent Ratio Worksheets will produce problems where the students must pick from a given table the two ratios that are equivalent. These Ratio Worksheets are appropriate for 5th Grade, 6th Grade, and 7th Grade.

Rows of Equivalent Ratio Worksheets These Ratio Worksheets has rows of equivalent ratios, each with either the first or second term left blank. One ratio in the row of equivalent ratios will be written with both terms. The student will fill in the missing term for the equivalent ratio. These ratio worksheets will generate 10 Equivalent Ratio problems per worksheet. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Ratios from Word Phrases Worksheets These Ratio Worksheets will produce problems where the students must express the simplest form of a ratio from a word phrases. These ratio worksheets will generate 20 Ratio problems per worksheet. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Rates and Unit Rates 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 These Ratio Worksheets will produce problems where the students must write simple fractions, rates, and unit rates from word phrases. These ratio worksheets will generate 16 Ratio and Rate problems per worksheet. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Ratios and Rates Word Problems Worksheets These Ratio Worksheets will produce eight ratio and rates word problems for the students to solve. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

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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

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

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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

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

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Welcome to our Ratio Word Problems 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 ratio problems.

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Here you will find a range of problem solving worksheets about ratio.

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 1
• PDF version
• Ratio Problems 2
• Ratio Problems 3
• Ratio Problems 4

Ratio and Probability Problems

• Ration and Probability Problems 1
• Sheet 1 Answers
• Ration and Probability Problems 2
• Sheet 2 Answers

More Recommended Math Worksheets

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

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 Part to Part Worksheets
• Ratio and Proportion Worksheets
• Unit Rate Problems 6th Grade

6th Grade Percentage Worksheets

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

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RATIO WORKSHEETS

Welcome to our collection of ratio worksheets designed to help students practice and master the concept of ratios. Ratios are fundamental in mathematics and are used to compare quantities in different situations. Whether you’re introducing ratios for the first time or reinforcing previously learned concepts, these worksheets offer a variety of exercises suitable for different levels of proficiency. From basic ratio problems to more complex scenarios, students will find ample opportunities to sharpen their skills and deepen their understanding of ratios.

Our worksheets are designed to gradually increase in difficulty, allowing students to build upon their skills and knowledge as they progress through the exercises.

Ratio Worksheets

Parts of a ratio.

Write the parts of ratio using the given pictures.

Parts of a Ratio #1

Parts of a ratio #2, parts of a ratio #3, finding ratio.

Find the ratio and answer the given word problems.

Finding Ratio #1

Finding ratio #2, finding ratio #3, ratio in three ways.

Write the ratio in three different ways.

Ratio in Three Ways #1

Ratio in three ways #2, ratio in three ways #3, color & draw.

Color the pictures for the given ratio. Draw the pictures for the given ratio.

Color & Draw #1

Color & draw #2, color & draw #3, shaded/unshaded region.

Find the ratio for the shaded and unshaded regions.

Shaded/Unshaded Region #1

Shaded/unshaded region #2, shaded/unshaded region #3, simplifying ratio.

Simplify the ratio and color the way from start to finish.

Simplifying Ratio #1

Simplifying ratio #2, simplifying ratio #3, equivalent ratio.

These worksheets describe the equivalent ratio for easy understanding.

Equivalent Ratio #1

Equivalent ratio #2, equivalent ratio #3, ratio: money.

Here money concepts included, to find the ratio of shares.

Ratio: Money #1

Ratio: money #2, ratio: money #3, using customary units.

These ratio worksheets have problems with the customary units.

Using Customary Units #1

Using customary units #2, using metric units.

These ratio worksheets have problems with the metric units.

Using Metric Units #1

Using metric units #2, using metric units #3, ratio word problems.

Our worksheets help students understand how ratios are used in everyday situations, making learning more relatable and engaging.

Ratio Word Problems #1

Ratio word problems #2, ratio word problems #3, get posts by email.

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Ratio Worksheets

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Home > Math Worksheets > Word Problems > Ratio

Ratios are a a comparison of two numbers . Ratios display a relationship between two or more items. In almost all of these problems you we be brought into a world that displays a known relationship and asks you to find what is missing in that relationship. There are three main things you will want to be able to identify within the problem. First, you should make absolutely sure that all of the measures are in the same units, you may need to convert them to the same units. Make sure to express each ratio in fraction form. When you size up both ratios the same items should exist in numerators and denominators, make sure they are not flip flopped.

In these worksheets, your students will solve word problems that involve two way ratios and three way ratios. They will write a ratio to describe a picture. They will fill in the missing number to find an equivalent ratio. They will solve problems involving three way ratios. There are 16 worksheets in this set. Two sets of six worksheets introduce the topic and provides problems for students to practice. Additional worksheets are provided at both the basic and intermediate skills levels. This set of worksheets contains lessons, step-by-step solutions to sample problems, and both simple and more complex problems. It also includes ample worksheets for students to practice independently. Students may require extra paper on which to do their calculations. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to solve word problems that involve two and three way ratios. These worksheets explain how to solve two and three way ratio word problems. Sample problems are solved and practice problems are provided.

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Ratio word problem worksheets, click the buttons to print each worksheet and answer key., ratios lesson.

The ratio of two quantities a, b (with same units) is the quotient a/b given that b is not equal zero. It is expressed as a:b read as a is to b.

Lesson and Practice

The ratio describes the relationship between primary input value divided by the secondary output value. It is a comparison of two numbers, let us say a and b then their ratio will be a:b or as a fraction a/b.

Explore this skill with the help of visual pictures and several problems for each.

In a class, for every 19 students there is 1 teacher. How many teachers are required for 300 students?

We compare stars to rectangles, pentagons to trapezoids, and stars to pentagons.

How many stars will there be for 5 triangles? How many triangles will be there for 10 stars?

Finding Ratios Lesson

To find the missing number, we need to find out how much the numerator and denominator of given fraction is multiplied or divided so that their resultant matches the other side.

If Harry can drive his car to a town 20 miles away in 10 minutes, how far can he travel in 30 minutes?

Fill in the missing number to form the equivalent value.

Sarah can cook a recipe in 5 minutes, in how many minutes can she cook the same recipe 6 times?

Find all the missing numbers.

Base your answers on the first completed problem.

Three Way Ratios Worksheet

A soccer team lost 13 games and won 11 of them. What is their Win-loss value?

Worksheet Practice

Students will demonstrate intermediate skills with three way values. Ten problems are provided.

Best Buy Worksheet

It is a good idea to compare prices when shopping to look for the best buy. The best buy is getting the most of something for the least amount of money. Circle the best buy and show all your arithmetic.

Finding the Best Price Worksheet

More help on this skill.

Ratio Worksheets

• Finding Ratios
• Finding Rate
• Kindergarten

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Ratio worksheets including relating visual quantities, ratio word problems, rate and ratio problems and finding equivalent ratios. These PDF worksheets are designed for 3rd through 6th grade students and include full answer keys.

Visual Ratio Worksheets

Equivalent Ratios Worksheets

Describing Rates and Ratios

Ratio Word Problem Worksheets

What Is A Ratio?

A ratio is the relationship or comparison between two numbers of the same unit. It is used to indicate how big or small a quantity is when compared to another. For ratios to have meaning you must know what is being compared and the units that are being used.

For example, there are 2 apples and 4 oranges in a fruit basket. We are comparing 2 pieces of apples to 4 pieces of oranges that is in the fruit basket. A general ratio may say “parts” for the units. In our example, the unit that we will use is “pieces” or simply just apples and oranges (2 pcs of apples, 4 pcs of oranges; or 2 apples, 4 oranges).

We write this ratio in three different ways:

• Using the : symbol
• As a fraction
• Using the word “to”

Please refer to the chart below…

No matter how a ratio is written, it is important that it be simplified down to the smallest whole numbers possible, just as with any fraction. When simplifying ratios, we use the highest common factor or HCF (otherwise known as the greatest common factor or GCF) of each of the numbers in the ratio. The term “simplest form” is the same as “lowest form” in ratio and fraction.

For the example above, the highest common factor or greatest common factor would be 2 as we can divide both 2 and 4 by 2.

Solving Ratio Problems

Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. A part-to-part ratio shows how one part relates to another part, and a part-to-whole ratio shows how one part relates to the whole. Ratios like these are much more common than you might think.

Let’s use the same example above: There are 2 apples and 4 oranges in a fruit basket.

Part-to-part ratio is shown as follows:

• The ratio of apples to oranges is 2:4.
• The ratio of oranges to apples is 4:2.

Whereas, the part-to-whole ratio that denotes the relationship between apples or oranges to all the fruits in the basket is as follows:

• The ratio of apples to all fruits is 2:6
• The ratio of oranges to all fruits is 4:6

Since there are 2 apples and the total number of fruits in the basket is 6 (2 apples + 4 oranges), the ratio of apples to the all the fruits is 2:6. We use the same method with oranges. There are 4 oranges and the total number of fruits in the basket is 6 (2 apples + 4 oranges), the ratio of oranges to the all the fruits is 4:6.

Now that we know how to solve and write simple ratios, let’s discuss equivalent ratios.

Equivalent Ratios

Equivalent ratios are equal in value to each other. They are similar to equivalent fractions. If the “antecedent” or the first term, and the “consequent” or the second term of a given ratio are multiplied or divided by the same number other than zero, it gives an equivalent ratio.

For example, when the antecedent and the consequent of the ratio 2:4 are multiplied by 2, we get, (2 × 2) : (4 × 2) or 4:8. Here, 2:4 and 4:8 are equivalent ratios.

Similarly, when both the terms of the ratio 2:4 are divided by 2, it gives 1:2, and 4:8 divided by 2, it gives 2:4. Here, 1:2 and 2:4 are equivalent ratios as well.

Take note that in equivalent ratios, if you multiply or divide both the numbers of the ratio by the same number, you get an equivalent ratio.

Another tip when working with equivalent ratio is to use its fraction form. This way, you can easily find equivalent ratios in higher terms, ratios in lower terms, and a missing term.

To find equivalent ratios in higher terms, multiply each term of the ratio by the same number. To find equivalent ratios in lower terms, divide each term of the ratio by the same number.

To find a missing term or an unknown value, follow these simple steps:

Step 1: Do the cross multiplication of known values

• Step 2: Divide the product by the unknown value.
• Step 3: Check your answer by doing the cross multiplication. If the results are equal, then your answer is correct.

Ratio Word Problems

Ratios are what we use to compare certain number values. People everywhere use ratios and they are often used in many real-world situations, which makes it a valuable skill to master. It helps us to simplify many of our interactions by putting numbers into perspective. Ratios are used in discounts, budgeting, and coupons at grocery stores. Understanding ratios would also enable student to understand interest on loans and how they are paid off. Let’s take a look at a few word problems, and practice working through them.

Example 1: In a class, there are 12 boys and 16 girls. What is the ratio of boys to girls?

Alright, so let’s look at our problem, and see what it is asking us to find, and write out the information that we have been given.

So, there are 12 boys and 16 girls. Let’s write that down.

Now, the question is asking us to find the ratio of boys to girls. Well, we have 12 boys, and 16 girls, which gives us a ratio of 12:16. Note that when writing ratios, we write down what is mentioned first. In our example, “boys” is mentioned before “girls”.

The ratio of boys to girls is 12:16. Let’s look at another word problem.

Example 2: The ratio of girls to boys in a swimming club is 2:3. There are 18 girls. How many boys are there in the club?

Let’s start off the same way that we did our last problem. Read through the problem, write down what is given, and find out what is being asked.

We have all of our information given in the problem, but what are we looking for? It says that the ratio of girls to boys is 2:3 and that there are 18 girls. So, we need to find how many boys there are. How do we do that? We write the formula as follows:

To find a missing term or an unknown value, follow these steps I mentioned earlier:

​Step 2: Divide the product by the unknown value.

Step 3: Check your answer by doing the cross multiplication.

The answer is correct because the results are equal. 2x27 equals to 54, and 3x18 also equals to 54.

Let’s try a word problem that involves rate and unit rate this time…

Rate is a ratio between two things that have different units of measure, while a Unit Rate describes the ratio of two different units for the quantity of one. We say that when the denominator in rate is 1, it is called Unit Rate .

Example 3: After working for 40 hours, Eric made $900 in gross pay. What is his pay rate per hour?

Again, read through the problem, write down what is given, and find out what is being asked.

To solve, we'll ignore the units ($ and hour) and focus just on the number part for a bit. Divide 900 by 40. You get 22.50. Eric’s pay rate is $22.50 per hour.

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Ratio Worksheets

Ratio Word Problems Worksheet - 1

Ratio Word Problems Worksheet - 2

Ratio Word Problems Worksheet - 3

Ratio Word Problems Worksheet - 4