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Ratio word problems

Ratios, Proportions and Problem Solving Workbook

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Use ratios to solve these word problems

Students can use simple ratios to solve these word problems ; the arithmetic is kept simple so as to focus on the understanding of the use of ratios.

ratio problem solving questions grade 5

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Size worksheets for kinder - Pre-K Free Size comparison printable - Area model multiplication examples and test

  • 5th Grade Math
  • Ratios & Rates

Grade 5 Math Worksheets: Ratio, Equivalent Ratios, and Rates

Hello 5 th Grade math lovers! Welcome to this enriching math article about ratios and rates. Before exploring this article, do you know that Mathskills4kids.com is your most trusted website offering premium Grade 5 math worksheets? Oh yes! These worksheets will provide fun and challenging activities for 5 th Grade students to easily practice solving ratios, equivalent ratios, and rates problems.

In addition, this article aims to help Grade 5 students learn how to Identify and write equivalent ratios, solve word problems involving ratios, solve word problems using proportions, etc., in a fun and easy way.

Let's now get started and master the following foundational math skill:

What are ratios, and how to write them?

How to simplify and compare ratios, what are rates, and how to find them, how to convert between ratios and rates, what are equivalent ratios demonstration..

  • Fun and challenging activities to practice ratios and rates!
  • 10 ratios and proportions exercises and how to solve them
  • Bonus: Where to find more ratio and rates resources to reinforce 5 th graders learning (provide descriptions and page addresses)

Conclusion: Applying rates and ratios to real-life situation

Welcome to the beautiful world of ratios and rates.

Hey! Are you ready to explore this beautiful world of ratios and rates ? Hopefully, yes! Today, we will learn what ratios and rates are, how to write them, how to simplify and compare them, how to convert between them, and how to find equivalent ratios. We will also have fun and challenging activities to practice our skills and bonus resources to reinforce our learning. Let's get started!

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Grade 5 Math Worksheets: Ratio, Equivalent Ratios, and Rates - How do you find a ratio?

Start practice on Fifth Grade here

A ratio is a way of comparing two or more quantities of the same kind. For example, if you have 3 apples and 6 oranges in a basket, you can compare the number of apples to the number of oranges using a ratio. There are different ways of writing a ratio , such as:

  • Using a colon ( : ), like 3:6
  • Using the word " to ," like 3 to 6
  • Using a fraction ( / ), like 3/6

All these ways mean the same thing, i.e., for every 3 apples, there are 6 oranges in the basket. You can also write a ratio using different units as long as they measure the same kind of quantity. For example, you can write the ratio of 3 feet to 6 inches as:

  • 3 feet: 6 inches
  • 3 feet to 6 inches
  • 3 feet / 6 inches

All these ways mean the same thing, i.e., for every 3 feet, there are 6 inches. However, it is usually easier to work with ratios that use the same units, so we can convert them if needed. For example, we can convert 3 feet to 36 inches and write the ratio as:

  • 36 inches: 6 inches
  • 36 inches to 6 inches
  • 36 inches / 6 inches

All these ways mean the same thing, i.e., for every 36 inches, there are 6 inches.

Sometimes, we want to simplify a ratio to make it easier to understand or compare . To simplify a ratio, we divide both quantities by a common factor. A common factor is a number that can divide both quantities evenly without leaving any remainder. For example, if we want to simplify the ratio of 36 inches to 6 inches, we can divide both quantities by 6, which is a common factor. We get:

  • (36 / 6) inches : (6 / 6) inches
  • (36 / 6) inches to (6 / 6) inches
  • (36 / 6) inches / (6 / 6) inches

Simplifying these expressions, we get:

  • 6 inches: 1 inch
  • 6 inches to 1 inch
  • 6 inches / 1 inch

All these ways mean the same thing: for every 6 inches, there is 1 inch. This is the simplest ratio form because we cannot divide both quantities by any other common factor.

To compare two ratios , we can use cross-multiplication. Cross-multiplication determines which fraction is larger by multiplying the numerator (top number) of one fraction by the denominator (bottom number) of another fraction and vice versa. Then we compare the products (results of multiplication). For example, if we want to compare the ratios of 3:4 and 5:8, we can write them as fractions and cross-multiply:

  • (3 / 4) vs (5 /8)
  • (3 x 8) vs (4 x5)
  • (24) vs (20)

Since 24 is larger than 20, we can say that (3 /4) is larger than (5 /8) or that (3:4) is larger than (5:8).

A rate is an exceptional ratio that compares two quantities of different kinds. For example, if you drive at a speed of 60 miles per hour, you are comparing the distance you travel (miles) to the time it takes you (hours). This is a rate. Rates are usually written using a fraction (/), like:

  • Speed = distance/time
  • Speed = miles/hour

To find a rate, we need to know two things: how much of one quantity there is and how much of another quantity there is. Then we divide one quantity by another quantity. For example, if you travel 120 miles in two hours, you can find your speed by dividing the distance by the time:

  • Speed =120 miles /2 hours
  • Speed =60 miles per hour

This means that for every hour you drive, you travel 60 miles.

Sometimes, we want to convert a ratio to a rate or a rate to a ratio . To do this, we will use the same units for both quantities and multiply or divide by a conversion factor. A conversion factor is a fraction that equals 1 but has different units in the numerator and denominator. For example, if we want to convert the ratio of 3 feet to 6 inches to a rate of feet per inch, we can use the conversion factor of 12 inches per foot, which equals 1:

  • (3 feet x 12 inches / foot) / (6 inches x 1)
  • (36 inches) / (6 inches)
  • 6 inches/inch

This means that for every inch, there are 6 inches of length.

To convert a rate to a ratio , we can do the opposite: divide by a conversion factor. For example, if we want to convert the rate of 60 miles per hour to a ratio of miles to minutes, we can use the conversion factor of 60 minutes per hour, which equals 1:

  • 60 miles/hour
  • (60 miles x 1) / (1 hour x 60 minutes / hour)
  • (60 miles) / (60 minutes)
  • 1 mile/minute

This means that for every minute, there is 1 mile of distance.

Equivalent ratios are ratios that have the same value but use different numbers. For example, the ratios of 2:4 and 4:8 are equivalent because they both mean the same thing: for every 2 units of one quantity, there are 4 units of another quantity.

To find equivalent ratios, we can multiply or divide both quantities by the same number. For example, if we want to find an equivalent ratio for 2:4, we can multiply both quantities by 2:

  • (2 x 2) : (4 x 2)

This is an equivalent ratio of 2:4. We can also divide both quantities by the same number. For example, if we want to find an equivalent ratio for 4:8, we can divide both quantities by 2:

  • (4 /2) : (8 /2)

This is an equivalent ratio of 4:8.

To demonstrate how equivalent ratios work , let's look at an example. Suppose you have a recipe for mixing 2 cups of flour with 4 cups of water to make a batter. How much flour and water do you need to make half as much batter?

To answer this question, we will find an equivalent ratio for the flour and water that is half as big as the original ratio. To do this, we can divide both quantities by 2:

  • (2 cups /2) : (4 cups /2)
  • 1 cup:2 cups

This means that if you want to make half as much batter, you will mix 1 cup of flour with 2 cups of water. This is an equivalent ratio to the original ratio of flour and water.

Fun and challenging activities to practice ratios, equivalent ratios, and rates!

Now that we have learned what ratios, equivalent ratios, and rates are and how to work with them, let's have some fun and challenging activities to practice our skills ! Here are some ideas:

  • Make your recipe using ratios and rates . For example, you can make lemonade by mixing lemon juice, water, and sugar in a specific ratio. Please write your recipe using ratios and rates, then try it out. How does it taste? Can you adjust the ratio or rate to make it taste better?
  • Find some real-life examples of ratios and rates around you . For example, you can look at the nutrition facts on food labels and find the ratios and rates of calories, fat, protein, sugar, etc., per serving. You can also look at the prices of different items and find the cost rates per unit. Write down some examples and compare them with your friends or family.
  • Play some online games that involve ratios and rates . For example, you can play Ratio Blaster at https://www.mathplayground.com/ratioblaster.html , where you have to shoot at spaceships with matching ratios.

You can also play Ratio Martian at https://www.mathgames.com/skill/5.49-ratio-martian , where you have to help a Martian collect rocks with matching ratios. Have fun and challenge yourself!

10 Ratios and proportions exercises and how to solve them

Are you ready to test your 5h graders' skills on ratios and proportions? Here are 10 exercises that will challenge them to apply what they have learned. Don't worry; we will also show you how to solve them step by step. Let's get started!

Solution: To find the answer, we will use equivalent ratios. We can write the water-to-lemon juice ratio as 6:1 or 6/1. Then, we can set up a proportion with the unknown amount of lemon juice as x:

To solve for x, we cross-multiply:

Then, we divide both sides by 6:

Therefore, we need 3 cups of lemon juice for 18 cups of water.

Solution: To find the answer, we will use rates. We can write the scale as a rate of 1 cm per 5 km or 1/5. Then, we can set up a proportion with the unknown distance as x:

Therefore, the two cities are 40 km apart in real life.

Solution: To find the answer, we will write the ratios in the simplest form. The ratio of red marbles to blue marbles is 12:8 or 12/8. To simplify this ratio, we divide both numbers by their greatest common factor, which is 4:

12/8 = (12/4) / (8/4)

Therefore, the ratio of red marbles to blue marbles is 3:2.

The ratio of blue marbles to total marbles is 8:20 or 8/20. To simplify this ratio, we divide both numbers by their greatest common factor, which is 4:

8/20 = (8/4) / (20/4)

Therefore, the ratio of blue marbles to total marbles is 2:5.

Solution : To find the answer, we need to use rates. We can write the speed as a rate of 60 miles per hour or 60/1. Then, we can convert the time from minutes to hours by dividing by 60:

15 minutes / 60 minutes = 0.25 hours

Then, we can multiply the speed by the time to find the distance:

60/1 x 0.25 = (60 x 0.25) / (1 x 1)

60/1 x 0.25 = 15 / 1

60/1 x 0.25 = 15

Therefore, the car travels 15 miles in 15 minutes.

Solution : To solve this problem, we will find the water-to-lemon juice ratio in the recipe. We can write it as 6:2 or 6/2.

Then, we will find an equivalent ratio with 18 as the first term. We can do this by multiplying both terms of the original ratio by 3 since 6 x 3 = 18.

So, the equivalent ratio is 18:6 or 18/6. This means that for 18 cups of water, we need 6 cups of lemon juice.

Solution : To solve this problem, we need to find the rate of centimeters to kilometers on the map. We can write it as 1 cm / 5 km.

Then, we will find how many centimeters correspond to 20 km. We can do this by multiplying both terms of the original rate by 4 since 5 x 4 = 20.

So, the equivalent rate is 4 cm / 20 km. This means that on the map, 4 centimeters represent 20 kilometers in reality.

Solution : To simplify a ratio, we will find the greatest common factor (GCF) of both terms and divide them by it.

The GCF of 12 and 8 is 4, so we divide both terms by 4 to get the simplest form. The simplified ratio is 12/4: 8/4 or 3:2.

This means two blue marbles are in the bag for every three red marbles.

Solution : To find the distance traveled by car, we need to multiply its speed by its time.

The speed is given as a rate of kilometers per hour, and the time is given in hours. So, we multiply them to get the distance in kilometers.

The distance is 60 km/h x 2 h = 120 km. This means that the car travels 120 kilometers in total.

Solution : To find the number of students in a class, we will multiply the student-teacher ratio by the number of teachers.

The ratio is a fraction of students per teacher, and the number of teachers is a whole number. So, we multiply them to get the number of students as a whole number.

The number of students is (25/1) x 4 = 100. This means that there are 100 students in a class with four teachers.

Solution : To find the dimensions of an enlarged or reduced figure, we need to multiply the original dimensions by the scale factor.

The scale factor is a decimal number representing how much bigger or smaller the figure becomes. So, we multiply both dimensions by 1.5 to get the new dimensions.

The width of the enlarged painting is (40 cm) x (1.5) = (60 cm). The height of the enlarged painting is (30 cm) x (1.5) = (45 cm).

This means that the enlarged painting has a width of 60 cm and a height of 45 cm.

Bonus: Where to find more ratio, equivalent ratios, and rates resources to reinforce your 5 th Graders' math learning skills

If you enjoyed these Mathskills4kids’ Grade 5 math worksheets and exercises and want to learn more about ratios, equivalent ratios, and rates , here is a compiled list of some excellent websites, books, games, and activities that you can use to reinforce this vital topic. Please, check out:

  • Math Playground : This website has many interactive games and puzzles that cover ratios, rates, and other math skills. Your students will love playing games like Ratio Blaster, Ratio Martian, and Ratio Stadium. They will also learn to use tables, graphs, and tape diagrams to solve ratio problems. You can find these games and more at https://www.mathplayground.com/tb_ratios/index.html .
  • Khan Academy : This website offers free online lessons and videos that explain ratios and rates clearly. Your students can watch videos on equivalent ratios, unit rates, and proportional relationships. They can also practice their skills with quizzes and exercises. You can access these lessons and more at https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic .
  • Math is Fun : This website has a lot of helpful information and examples on ratios and rates. Your students can read about the definitions, properties, and applications of ratios and rates. They can also try some interactive activities and worksheets to test their understanding. You can check out this website at https://www.mathsisfun.com/numbers/ratio.html .
  • Ratio Rumble : This fun online game challenges your students to create equivalent ratios using different ingredients. Your students will use logic and reasoning skills to make potions that match the given ratios. They will also have to compete against other players in a fast-paced battle mode. You can play this game at https://www.mathsnacks.org/ratio-rumble/ .
  • Ratios and Proportions Project : This creative project allows your students to apply their knowledge of ratios and rates to real-world situations. Your students will choose a topic of interest, such as sports, music, or art, and create a poster or presentation showing how ratios and rates are used. They will also explain their findings and calculations using words, numbers, and visuals. You can find the details and rubric of this project at https://www.teacherspayteachers.com/Product/Ratios-and-Proportions-Project-5162290 .

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Ratios and rates are valuable tools that you can apply to real-life situations. For example, you can use ratios and rates to:

  • Compare prices and find the best deals when shopping.
  • Convert between different units of measurement when cooking or traveling.
  • Scale up or down recipes or drawings when making or creating something.
  • Analyze data and make graphs when doing science or social studies projects.

As you can see, ratios and rates are everywhere! They help us make sense of the world and solve problems. So, encourage your 5 th graders not to be afraid of them but embrace them! They'll be amazed by how much they can do with them!

We hope you enjoyed this article on ratios and rates. We hope your 5 th Grade students learned something new and had fun. Remember, math is not boring. It's awesome! Tell your children to keep practicing and exploring, and they'll become math masters in no time!

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24 Ratio Word Problems for Grades 6-7 With Tips On Supporting Students’ Progress

Emma Johnson

Ratio word problems are introduced for the first time in 6th grade. The earliest mention of ‘Ratio’ is in the 6th grade Ratio and Proportional Relationships strand of the Common Core State Standards for math. 

At this early stage, it is essential to concentrate on the language and vocabulary of ratio relationships. Children need to be clear on the meaning of the ratio symbol right from the start of the topic. Word problems really help children understand this concept since they make it much more relevant and meaningful than a ratio question with no context.

Concrete resources and visual representations are key to the success of children’s early understanding of ratio. These resources are often used in 2nd grade word problems , 3rd grade word problems and 4th grade word problems . There is often a misconception amongst upper elementary teachers and students, that mathematical manipulatives are only for children who struggle in math. However, all students should be introduced to this new concept through resources, such as two-sided counters and visual representations, such as bar models as this can help with understanding basic mathematical concepts such as addition and subtraction word problems .

As students progress across grades, they continue to build on their knowledge and understanding of ratio. This means that students gradually move away from the practical and visual resources, while word problems continue to be a key element to any lessons involving ratios. This foundational ratio knowledge is used as a base for proportional relationships and then linear relationships in later grades. 

Ratio word problems are also an essential component of any lessons on ratio, to help children understand how ratios are used in real life. 

Ratio Check for Understanding Quiz

Ratio Check for Understanding Quiz

10 questions with answers covering ratio to test your 6th and 7th grade student understanding of ratios.

Ratio word problems 

Schools following CCSS

Ratios in 6th grade

Children are first introduced to ratio and ratio problems in 6th grade:

  • Recognize and write ratio relationships using conventional math notation
  • Recognize and write unit rate relationships using conventional math notation
  • Create tables of equivalent ratios and use the tables to solve problems, including measurement problems
  • Calculate unit rates and use unit rates to solve problems
  • Recognize and write percents (a special type of ratio)
  • Calculate a whole given a part or a percent *Note that all original ratio relationships in 6th grade involve only whole numbers – however students are expected to create equivalent ratios that involve fractions or decimals (particularly for unit rates)

Ratios in 7th grade

Students in 7th grade continue to build on their knowledge of ratio from 6th grade. 

  • Calculate unit rates and solve problems for ratios comparing two fractions
  • Solve problems involving proportional relationships
  • Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics.
  • Use scale factors to draw smaller or larger geometric figures
  • Calculate the scale factor between two similar geometric figures

Schools not following CCSS

Schools that do not follow the Common Core will most likely cover the topics above but may do so in a different order or a different grade levels. Consult with your school’s specific curriculum map for clarification.

Why are word problems important for children’s understanding of ratio?

Solving word problems is important for helping children develop their understanding of ratio and the different ways ratio is used in everyday life. Without this context, ratio can be quite an abstract concept, which children find difficult to understand. Word problems bring ratios to life and enable students to see how they will make use of this skill outside the classroom.

Third Space Learning’s online one-on-one tutoring programs relate math concepts to real-world situations to deepen conceptual understanding. The online lessons are personalized to fill the gaps in each individual student’s math knowledge, helping them to build skills and confidence.

Example of a Third Space Learning ratio and proportion lesson slides

How to teach ratio word problem-solving in middle school 

It is important that children learn the skills needed to solve ratio word problems. As with any math problem, children need to make sure they have read the questions carefully and thought about exactly what is being asked and whether they have fully understood this. The next step is to identify what they will need to do to solve the problem and whether there are any concrete resources or visual representations that will help them. Even older students can benefit from drawing a quick sketch to understand what a problem is asking.

Here is an example:

Jamie has a bag of red and yellow candies.

For every red candy, there are 2 yellow candies.

If the bag has 6 red candies, how many candies are in the whole bag?

How to solve:

What do you already know?

  • We know that for every red candy, there are 2 yellow candies.
  • If there are 6 red candies, we need to find how many yellow candies there must be. 
  • If there are 2 yellow candies for each 1 red candy, then we can multiply 2 by 6, to calculate how many yellow candies there are with 6 red candies.
  • Once we have calculated the total number of yellow candies (12), we then need to add this to the 6 red candies, to work out how many candies are in the bag altogether.
  • If there are 6 red candies and 12 yellow candies, there must be 18 candies in the bag altogether.

  How can this be represented visually?

ratio problem solving questions grade 5

  • We can use the two-sided counters to represent the red and yellow candies.
  • We put down 1 red counter and 2 yellow counters.
  • We then need to repeat this 6 times, until there are 6 red counters and 12 yellow counters.
  • We can now visually see the answer to the word problem and that there are now a total of 18 counters (18 candies in the bag).

Ratio word problems for 6th grade

Word problems for 6th grade often incorporate multiple skills: a ratio word problem may also include elements from multiplication word problems , division word problems , percentage word problems and fraction word problems.

Sophie was trying to calculate the number of students in her school.

She found the ratio of boys to girls across the school was 3:2.

If there were 120 boys in the school…

  • How many girls were there?
  • How many students were there altogether?

Answer: a) 80 b) 200

a. 80 girls

This can be shown as a bar model.

ratio problem solving questions grade 5

120 ÷ 3 = 40

40 x 2 = 80

b. 200 students altogether

120 boys + 80 girls = 200

Students in the Eco Club in 6th Grade wanted to investigate how many worksheets were being printed each week in Math and English.

They found that there were 160 Math worksheets and 80 English worksheets being printed each week.

What is the ratio of Math to English worksheets? Write the ratio in simplest form.

Answer: 2:1

The ratio 160:80 can be simplified by dividing both sides by 80.

The 6th-grade rugby club has 30 members. The ratio of boys to girls is 4:1. How many boys and girls are in the club?

Answer: 24 boys and 6 girls

The ratio of 4:1 has 5 parts:

Boys: 4 x 6 = 24

Girls: 1 x 6 = 6

Yasmine has a necklace with purple and blue beads.

The ratio of purple:blue beads  = 1:3

There are 24 beads on the necklace. How many purple and blue beads are there?

Answer: 6 purple beads and 18 blue beads

The ratio of 1:3 has 4 parts and 24 ÷ 4 = 6 beads per part.

Purple: 1 x 6 = 6

Blue: 3 x 6 = 18

Maisie drives past a field of sheep and cows.

She figures out that the ratio of sheep to cows is 3:1.

If there are 5 cows in the field, how many sheep are there?

Answer: 15 sheep

If there are 5 cows in the field, the 1 has been multiplied by 5.

We need to also multiply the 3 by 5, which is 15.

ratio word problems diagram

At a party, there is a choice of 2 flavors of jelly beans – orange and lemon.

The ratio of the jelly beans is 3:1 (orange: lemon).

What percent of the jelly beans are orange?

Answer: 75%

To find the percent, we need to write the ratio of orange jelly beans to total jelly beans. Since for every 3 orange jelly beans, there are 4 jelly beans in total (3 orange + 1 lemon = 4 total), the ratio is 3 to 4 or ¾. 

To convert the ratio to a percent, the denominator needs to be 100.

Multiply both parts of the fraction by 25.

75/100 is equal to 75%.

The school photocopier prints out 150 sheets in 3 minutes.

How many sheets can it print out in 15 minutes?

Answer: 750 sheets in 15 minutes

We need to multiply 3 by 5 to get 15 minutes. This means we also need to multiply 150 by 5 = 750.

ratio word problems workings

Rowen wants to buy $80 worth of books. He will have to pay a 5% tax. How much will Rowen pay in total for the books?

Answer: $84

Since $8 is 10% of $8, then half will be 5%, which is $4.

$80 + $4 = $84

David has 2 grandchildren: Olivia (age 6) and Mia(age 3)

He decides to share $60 between the 2 children in a ratio of their ages.

How much does each child get?

Answer: Olivia gets $40, Mia gets $20

Ratio of 2:1 = 3 part and 60 ÷ 3 = $20 per part.

Olivia: 2 x 20 = $40

Mia: 1 x 20 = $20

A rectangle has the ratio of width to length 2:3. If the perimeter of the rectangle is 50cm, what’s the area?

Answer: Area: 150cm2

The ratio has 5 parts:

Divide 50 by 5 to work out 1 part = 10

The 2 widths must be 2 x 10 = 20

The 2 lengths must be 3 x 10 = 30

To work out the width of 1 side, divide the 20 by 2 = 10

To work out the length of 1 side, divide the 30 by 2 = 15

Width: 10cm and Length: 15cm

Area: 10 x 15 = 150cm 2

For a class field trip, 45% of students in Kinley’s class want to go to the zoo. The other students want to go to see a play. If 11 students want to go see a play, how many total students are in Kinley’s class?

Answer: 20 students

Since 5% is 1 student, then 45% is 9 students.

Adding the students that want to go to the zoo and the students that want to see a play, is the whole class, or 100% of the students.

11 + 9 = 20 students

A piece of ribbon is 45cm long.

It has been cut into 3 smaller pieces in a ratio of 4:5.

How long is each piece?

Answer: 20cm, 25cm

4:3:2 =9 parts: 45 ÷ 9 = 5cm per part.

4 x 5 = 20cm

3 x 5 = 25cm

Chloe is making a smoothie for her and her 3 friends.

She has the recipe for making a smoothie for 4 people: 240ml yogurt, 120 ml milk, 2 bananas, 180g strawberries and 1 tablespoon of sugar.

  • How much yogurt would be needed to make a smoothie for 8 people.
  • How many g of strawberries are needed to make the smoothie for 2 people?
  • 480 ml yogurt  

240ml x 2 = 480

  • 90g strawberries

180 ÷ 2 = 90

The ratio of cups of flour: cups of water in the recipe for making the dough for a pizza base is 7:4.

The pizza restaurant needs to make a large number of pizzas and is using 42 cups of flour. How much water will be needed?

Answer: 24 cups of water

Multiply 7 by 6 to get 42 cups of flour.

We, therefore, need to also multiply the 4 by 6 to calculate how many cups of water are needed.

ratio word problems multiplication diagram

Muhammad shared $56 between him and his brother Hamza in a ratio of 3:5 (3 for Hamza and 5 for him).

How much did each get?

Answer: Muhammad got $35, his brother got $21

Ratio of 3:5 = 8 parts

56 ÷ 8 = $7 per part

3 x 7 =$ 21

5 x 7 = $35

Scott has read 40% of his book. If he has 168 pages left, how many total pages does the book have?

Answer: 280 pages

100% – 40% = 60%

The 168 pages represent the 60% that Scott has not read.

Since 60% is 168, dividing both by 6 shows that 10% is 28. And multiplying by 10 shows how many pages are in 100% of the book.

Ratio word problems for 7th grade

For every 250 tickets sold, the theater receives $687.50.

How much money did the theater charge for 1 ticket?

Answer: $2.75

The original ratio of tickets sold to dollars the theater made is 250 : 687.50. 

To get liters to 1, divide both sides by 250.

A faucet drips ⅓ of a liter of water in ½ of an hour. How long does it take the faucet to drip 1 liter?

Answer: 1 and ½ hours

The original ratio of liters to hours ⅓ : ½. 

To get liters to 1, multiply by sides by 3.

When liters is 1, hours is equal to 3/2 or 1 and ½.

The angles in a triangle are in the ratio of 3:4:5 for angles A, B and C.

Calculate the size of each angle.

Angle A: 45°

Angle B: 60°

Angle C: 75°

3:4:5 = 12 parts.   180 ÷ 12 = 15 (each part is worth 15°)

3 x 15 = 45

4 x 15 = 60

5 x 15 = 75

A drink is made by mixing pineapple and lemonade in the ratio of ⅔ of a cup to ⅘ of a cup. If Jayla has 1 cup of lemonade, how much pineapple should she add to keep the same drink ratio?

Answer: ⅚ of a cup

The original ratio of cups pineapple to lemonade is ⅔ :⅘.

To get cups of lemonade to 1, multiply by sides by 5/4.

When lemonade is 1 cup, pineapple is 10/12 or 5/6.

 A $74 pair of shoes is on sale for 60% off. If Kalani buys two pairs of the shoes and pays the 7% tax on the total cost, how much money did Kalani spend in all?

Answer: $63.34

100% – 60% = 40%, so Kalani will pay 40% of the original price.

$74 0.4 = $29.60

The two pairs, before tax, cost: $29.60 + $29.60 = $59.20

Since 7% = 0.07, multiply $59.20 times 0.07 to calculate the tax.

$59.20 0.07 = $4.144 (round down to $4.14).

$59.20 + $4.14 = $63.34

*Note: You can also solve by multiplying $59.20 1.07 = $63.34

Jaxton bought a video game console for $650 two years ago. He just sold it for $475. What is the percent decrease, to the nearest percent, in the price of the game console from when Jaxton bought it to when he sold it?

Answer: 27%

$650 – $475 = $175

Divide the difference by the original price.

$175 $650 = 0.269…

To convert the decimal to a percent, multiply by 100.

0.269 100 = 26.9%, which rounds up to 27%.

Two companies are making an orange-colored paint.

Company A makes the orange paint by mixing red and yellow paint in a ratio of 5:7.

Company B makes the orange paint by mixing red and yellow paint in a ratio of 3:4.

Which company uses a higher proportion of red paint to make the orange?

Answer: Company B uses more red paint.

Company A: 5:7 = 5/12 is red

Company B: 3:4 = 3/7 is red

We can compare the fractions by giving them the same denominator, to find the equivalent fractions.

5/12 = 35/84

3/7 = 36/84

$8,142 is invested in a savings account with a 0.2% simple interest rate per month. What is the total interest earned after 4 years?

Answer: $781.63

Use the equation I=Prt:

t = 4 years x 12 = 48 months

$8,142 (0.002 x 48) = $781.632

$781.632 rounds to $781.63

More word problems

Looking for word problems on more topics? Take a look at our practice problems for Years 3-6 including money word problems , time word problems , addition word problems and subtraction word problems .

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former UK Deputy Headteacher and has since been revised and adapted for US schools by math curriculum specialist and former elementary math teacher Katie Keeton.

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Math Games for 6th Graders [FREE]

On the lookout to make your math lessons fun and interactive while building math skills? Try our 6 printable math games for 6th graders.

Playable in pairs, teams or a whole class, our accompanying instructions and printable resources make preparation a breeze!

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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

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)

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5th Grade Ratio Worksheets

5th Grade Ratio worksheets help students practice concepts like part-to-part, and part-to-whole ratios, dividing quantities, reducing ratios, generating equivalent ratios, and more. These worksheets encourage students to practice more questions and solidify their understanding of the topic.

Benefits of Grade 5 Ratio Worksheets

A ratio worksheet or grade 5 is beneficial when it comes to practicing the concept of ratio. These worksheets have questions in various formats which keep the learning process engaging and interesting. These  worksheets deal with the logical and reasoning aspect of mathematics and help students in real-life scenarios as well. The stepwise approach of these worksheets makes students solve a variety of questions with ease. These 5th grade math worksheets are very interactive and contain visual simulations that provide a good understanding of the topic. 5th Grade Ratio worksheets in 5th grade come along with an answer key that contains a detailed stepwise solution of all the questions.

Printable PDFs for Ratio 5th Grade Worksheets

Students can practice at their own pace and regularly by downloading the grade 5 ratio worksheets in a PDF format.

  • Math 5th Grade Ratio Worksheet
  • 5th Grade Ratio Math Worksheet
  • Fifth Grade Ratio Worksheet
  • Grade 5 Math Ratio Worksheet

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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 are the instructions how to enable JavaScript in your web browser .

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.

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

  • Percentage of Numbers Worksheets
  • Money Percentage Worksheets
  • 6th Grade Percent Word Problems

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Algebra: Ratio Word Problems

Related Pages Two-Term Ratio Word Problems More Ratio Word Problems Algebra Lessons

In these lessons, we will learn how to solve ratio word problems that have two-term ratios or three-term ratios.

Ratio problems are word problems that use ratios to relate the different items in the question.

The main things to be aware about for ratio problems are:

  • Change the quantities to the same unit if necessary.
  • Write the items in the ratio as a fraction .
  • Make sure that you have the same items in the numerator and denominator.

Ratio Problems: Two-Term Ratios

Example 1: In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?

Solution: Step 1: Assign variables: Let x = number of red sweets.

Step 2: Solve the equation. Cross Multiply 3 × 120 = 4 × x 360 = 4 x

Answer: There are 90 red sweets.

Example 2: John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?

Solution: Step 1: Sentence: Jane has 20 marbles, all of them either red or blue. Assign variables: Let x = number of blue marbles for Jane 20 – x = number red marbles for Jane

Step 2: Solve the equation

Cross Multiply 3 × x = 2 × (20 – x ) 3 x = 40 – 2 x

John has 12 blue marbles. So, he has 12 – 8 = 4 more blue marbles than Jane.

Answer: John has 4 more blue marbles than Jane.

How To Solve Word Problems Using Proportions?

This is another word problem that involves ratio or proportion.

Example: A recipe uses 5 cups of flour for every 2 cups of sugar. If I want to make a recipe using 8 cups of flour. How much sugar should I use?

How To Solve Proportion Word Problems?

When solving proportion word problems remember to have like units in the numerator and denominator of each ratio in the proportion.

  • Biologist tagged 900 rabbits in Bryer Lake National Park. At a later date, they found 6 tagged rabbits in a sample of 2000. Estimate the total number of rabbits in Bryer Lake National Park.
  • Mel fills his gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it costs to fill an 18 gallon tank? 3 If 4 US dollars can be exchanged for 1.75 Euros, how many Euros can be obtained for 144 US dollars?

Ratio problems: Three-term Ratios

Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?

Solution: Step 1: Assign variables: Let x = amount of corn

Step 2: Solve the equation Cross Multiply 2 × x = 3 × 5 2 x = 15

Answer: The mixture contains 7.5 pounds of corn.

Example 2: Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5. If the store has 20 blue T-shirts, how many T-shirts does it have altogether?

Solution: Step 1: Assign variables: Let x = number of red shirts and y = number of green shirts

Step 2: Solve the equation Cross Multiply 3 × 20 = x × 4 60 = 4 x x = 15

5 × 20 = y × 4 100 = 4 y y = 25

The total number of shirts would be 15 + 25 + 20 = 60

Answer: There are 60 shirts.

Algebra And Ratios With Three Terms

Let’s study how algebra can help us think about ratios with more than two terms.

Example: There are a total of 42 computers. Each computer runs one of three operating systems: OSX, Windows, Linux. The ratio of the computers running OSX, Windows, Linux is 2:5:7. Find the number of computers that are running each of the operating systems.

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→ → 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.

Worksheet on Word Problems on Ratio

Practice the questions given in the worksheet on word problems on ratio. The questions are based on dividing a given quantity into a given ratio.

1.  $80 are to be divided between Alex and David in the ratio 5 : 11. How much does each get?

2.  The ratio between two quantities is 3 : 4. If the first is $810, find the second.

3.  A field is 80 m in length and 60 m in width. Find the ratio between its width and its length.

4.  The age of a man is equal to the sum of the ages of his son and daughter. The ratio of the age of the son to that of the daughter is 5 : 4. If the age of the man is 45 years, find the ages of his son and daughter.

5.  A profit of $2,500 is to be shared among three partners in the ratio 6 : 9 : 10. How much does each partner get?

6.  Two numbers are in the ratio 10 : 11. Their sum is 168. Find the numbers.

7.  Two friends A and B invest some money in a business in the ratio 13 : 12. They make a profit of $ 542600. How much should B receive as profit if the profit is proportional to the investment?

8. How will $105 be shared between Jack, Ken and Aaron; if Jack gets double of what Ken gets, and Ken gets double of what Aaron gets?

9. The subscription fee of a dancing academy is increased from $980 to $1000 per month. Find the ratio of the increased fee to the original fee.

10. In a housing complex the ratio of the number of males to that of the females is 4 : 3. If there were 20 males less and 10 females less then the ratio would have been 5 : 4. How many people were there in the complex?

11. Mr. Jones divides $4,500 among his three children Sam, Ron and Gary in such a way that Sam gets equal to four-times of what Ron gets and Ron gets equal to 2.5 times of what Gary gets. Find what each children get.

12. The length of a line segment AB is 8.1 cm. C is a point on AB such that AC : CB = 7 : 2. Find the length of AC and CB.

13. The population in a city is 180,000; out of which men are 1/3 of the whole population. Find the number of women. Also, find the ratio of the number of women to the whole population.

14. During a test match series of cricket three bowlers A, B and C together took 23 wickets. The ratio of wickets taken by A and B is 4 : 3, and the ratio of those taken by B and C is 2 : 3. Find the wickets taken by A, B and C.

Answers for the worksheet on word problems on ratio are given below to check the exact answers of the above ratio word problems.

1. Alex = $25; David = $55

4. 25 years, 20 years respectively

5. $600, $900 and $1,000

7. $ 260448

8. Jack = $60, Ken = $30 and Aaron = $15

11. Sam = $ 3,000; Ron = $ 750 and Gary = $ 300

12. AC = 6.3 cm, CB = 1.8 cm

13. 120,000; 2 : 3.

14. 8, 6, 9 respectively

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  1. Ratio Word Problems

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  4. Ratio Problem Solving

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  1. Ratios problem... or is it? GCSE Higher Mathematics Problem Solving

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  1. Ratio word problems

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Ratio word problems. Students can use simple ratios to solve these word problems; the arithmetic is kept simple so as to focus on the understanding of the use of ratios.

  2. Ratio Problem Solving

    40 \div 8=5 40 ÷ 8 = 5. Then you multiply each part of the ratio by 5. 5. 3\times 5:5\times 5=15 : 25 3 × 5: 5 × 5 = 15: 25. This means that Charlie will get 15 15 sweets and David will get 25 25 sweets. There can be ratio word problems involving different operations and types of numbers.

  3. Grade 5 Math Worksheets: Ratio, Equivalent Ratios, and Rates

    Oh yes! These worksheets will provide fun and challenging activities for 5 th Grade students to easily practice solving ratios, equivalent ratios, and rates problems. In addition, this article aims to help Grade 5 students learn how to Identify and write equivalent ratios, solve word problems involving ratios, solve word problems using ...

  4. 24 Ratio Word Problems for Grades 5-7

    Ratios in 7th grade. Students in 7th grade continue to build on their knowledge of ratio from 6th grade. Calculate unit rates and solve problems for ratios comparing two fractions. Solve problems involving proportional relationships. Solve problems involving percentage change, including: percentage increase, decrease and original value problems ...

  5. Ratio Word Problems Worksheets

    Ratio Word Problem Worksheets. We are delighted to share this set of extensively well-researched ratio word problem worksheets which will help students in grade 5 through grade 8 to grasp the basics of ratio calculations. These printable worksheets include simple theme-based ratio word problems, finding the ratio between two quantities, word ...

  6. 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.

  7. Free Printable Ratios and Rates Worksheets for 5th Grade

    Explore printable Ratios and Rates worksheets for 5th Grade. Ratios and Rates worksheets for Grade 5 are essential tools for teachers to help their students build a strong foundation in math. These worksheets cover essential topics such as percents, ratios, and rates, allowing students to practice and apply their knowledge in real-world scenarios.

  8. 5th Grade Ratio Worksheets

    Benefits of Grade 5 Ratio Worksheets. A ratio worksheet or grade 5 is beneficial when it comes to practicing the concept of ratio. These worksheets have questions in various formats which keep the learning process engaging and interesting. These worksheets deal with the logical and reasoning aspect of mathematics and help students in real-life ...

  9. IXL

    Skill plans. IXL plans. Virginia state standards. Textbooks. Test prep. Improve your math knowledge with free questions in "Write a ratio: word problems" and thousands of other math skills.

  10. Ratio Word Problems (Worksheets and Solutions)

    Evaluate the following ratio problems. (Remember to reduce the ratio to its lowest terms) 1) ... We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. ... For more difficult questions, the child may be encouraged to work out the problem on a piece of ...

  11. Ratio Word Problems

    Ratio Word Problems. 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.

  12. Algebra: Ratio Word Problems

    Ratio problems: Three-term Ratios. Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain? Solution: Step 1: Assign variables: Let x = amount of corn. Write the items in the ratio as a fraction. Step 2: Solve the equation Cross ...

  13. Printable ratio and Proportion worksheets for grade 5 and 6 math

    Here you find our ratio and proportion worksheets for math classes 5 and 6. Ratios are used to make a comparison between numbers or units. Ratios can be written by using the word 'to', 3 to 2, by using a colon:, 3 : 2, or by expressing the ratio as a fraction: 1/2.

  14. Ratio and proportion grade 5

    2. Multiple Choice. A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow? 3. Multiple Choice. If Mr. Smith gives 6 homework assignments every 2 weeks, how many homework assignments would he give in a 9 weeks? Already have an account? Ratio and proportion grade 5 quiz for 5th grade ...

  15. PDF Ratio Word Problems

    Ratio Word Problems Answer the questions and show your workings. 1. The ratio cows to sheep in a field is 3:5. If there are 15 cows, how many sheep are there in this field? 4. I have 12 blue marbles and 4 red marbles. What is the ratio of blue marbles to that of the red ones? 2. If have 20 pens and paperclips. If the ratio pen to paperclip is 1:9,

  16. Ratios and rates

    Practice. Ratios with tape diagrams Get 3 of 4 questions to level up! Equivalent ratios with equal groups Get 3 of 4 questions to level up! Create double number lines Get 3 of 4 questions to level up! Ratios with double number lines Get 3 of 4 questions to level up! Relate double number lines and ratio tables Get 3 of 4 questions to level up!

  17. 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.

  18. Ratio: Problem Solving Textbook Exercise

    The Corbettmaths Textbook Exercise on Ratio: Problem Solving. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths ... Revision Cards; Books; Ratio: Problem Solving Textbook Exercise. Click here for Questions. Textbook Exercise. ... Ratio: Difference Between Textbook Exercise. Next ...

  19. Worksheet on Word Problems on Ratio

    Find the wickets taken by A, B and C. Answers for the worksheet on word problems on ratio are given below to check the exact answers of the above ratio word problems. Answers: 1. Alex = $25; David = $55. 2. $1080. 3. 3 : 4. 4. 25 years, 20 years respectively. 5. $600, $900 and $1,000.

  20. Proportions

    Proportions - Grade 5. 1. Multiple Choice. What two products do you get when you cross-multiply the fractions 2/5 and 3/8? 2. Multiple Choice. What is the solution to the proportion a/b = c/d? 3.

  21. Ratio Practice Questions

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

  22. PDF Ratio Problems2ans

    5 Given that Find the ratio a:b:c and and a:c = The Safu4L) / 2 28 9 (Total for question 5 is 2 marks) c Give your answer in its simplest form. IL 6 Given that b:c= . 2-5 30 30 /2 30 1:6 Find the ratio a:b:c Give your answer in its simplest form. 5 c 30 (Total for question 6 is 2 marks)

  23. PDF Name: GCSE (1

    game was a win, a draw or a loss. The ratio of the games they won to the games they did not win was 9:7 The ratio of games they lo. games they did not lose was 1:7. Given the team played less than 50 games, work out the highes. amount of games they could have won.9 The points A, B, C. line.AB:BD =.