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Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.

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Learn how to solve proportions with this set of printer-friendly worksheets that are specially designed for students of grade 6 through high school. A series of multi-level worksheets require students to solve proportions using the cross product method and the answers so derived will be in the form of whole numbers, fractions or decimals. Also, solve worksheets that contain the variables in algebraic expressions. A variety of authentic word problems that incorporate real-life scenarios are also featured here. Check out some of these handouts for free!

Solve the Proportion: Level 1

Solve the Proportion: Level 1

Each set of proportions rendred in these 6th grade pdfs contains a variable. Cross-multiply the ratios to determine the value of the unknown. Answers derived will comprise only whole numbers.

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Solve the Proportion: Level 2

Solve the Proportion: Level 2

Use the cross product method to solve each proportion in these printable worksheets for grade 7. The value of the missing variables will be in the form of either proper fractions or mixed fractions.

Solve the Proportion - Decimals

Solve the Proportion - Decimals

Students in grade 8 need to determine the product of extremes and the product of means to solve the equations that contain decimals and eventually evaluate the unknown. The answer key is available in the next page of each worksheet.

Level 1: Solve the Proportion - Algebraic Expression

Level 1: Solve the Proportion - Algebraic Expression

Evaluate the proportions involving algebraic expressions with two terms. Use the proportionality rule and solve the equations to obtain the value of the missing variable.

Level 2: Solve the Proportion - Algebraic Expression

Level 2: Solve the Proportion - Algebraic Expression

Use the cross product rule to obtain the equation that involves the rational expression on both sides. There are eight problems in each worksheet for 8th grade and high school students.

Proportion Word Problems

Proportion Word Problems

Observe the proportional relationships in real world with this series of word problems pdf worksheets; set up the proportionality with the given values and solve for the unknown.

Related Worksheets

» Constant of Proportionality

» Unit Rate

» Ratio

» Ratio Word Problems

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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.

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

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Ratio and Proportion Worksheets

Ratio and proportion worksheets listed alphabetically:.

  • Are these Proportional?
  • Creating Proportions
  • Equivalent Proportions
  • Missing Proportion
  • Proportions
  • Proportions in a Right Triangles
  • Ratio And Proportion Word Problems
  • Ratio Tables
  • Ratio Word Problems
  • Ratio Word Problems (Moderate)
  • Rewriting Ratios
  • Similar Polygons: Ratio of Perimeters & Areas
  • Solving Proportion Problems
  • Trigonometric Ratios
  • Word Based Proportions Easy
  • Word Based Proportions Difficult

Ratio and Proportion Worksheets Listed By Skill Development:

What is the difference between ratios and proportions.

Many students fail to differentiate between the mathematical terms, "ratios," and "proportions." These both have extensive applications in not only mathematics but also in day to day tasks. Ratios are when we are comparing two values with the same units. When two different ratios are set equal to each other, we call it proportions. Ratios are a simple mathematical expression, while proportions are an equation. The keyword that helps in identifying a ratio statement is "to every", and it is denoted by a colon. It is a quantitative relationship between two categories. Proportions, on the other hand, are denoted by double colons and are a quantitative relationship of a category and the total.

Ratio and Proportion Worksheets

Here you will find all our GCSE ratio and proportion worksheets for secondary schools.

Ratio and Proportion

What can you expect from the ratio and proportion worksheets?

The free ratio and proportion worksheets comprise functional and applied reasoning questions, practice questions, exam style questions and word problems.

These printable maths worksheets are suitable for use as part of GCSE maths revision for all major exam boards including Edexcel, AQA and OCR.

Designed to be used within our step-by-step GCSE maths revision lessons.

Mark scheme and answers included for every free ratio and proportion worksheet.

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How to use the ratio and proportion worksheets.

Direct Proportion Worksheet

Students can practise ratios such as how much of one thing there is compared to another. The ratio worksheets include direct proportion and inverse proportion questions and enable students to see ratios as fractions, decimals and whole numbers.

They'll also learn how to simplifying ratios to their simplest form gives an equivalent ratio that is easier to work with.

Direct Proportion Worksheet

Numbers can be shared in a given ratio and reducing ratios to simple ratios is a useful skill when working with recipe ratio questions, ratio word problems and proportion word problems.

Direct Proportion Worksheet

You can find further GCSE maths resources within these step by step Ratio and Proportion lessons.

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Ratios And Proportions Worksheets

Created: October 28, 2022

Last updated: June 6, 2023

Ratios are essential for kids when it comes to learning mathematics. They help introduce the idea of proportions to children, which they will later use when learning about algebra. Tools like a ratio and proportion worksheet allow them to understand measurements effectively.

Knowledge of ratio and proportion is a vital foundation for studying other mathematical concepts, and by practicing with ratio and proportion worksheets, kids can master these topics. A ratio compares two quantities of a similar kind, represented as a:b or a/b, and when two or more ratios are equal, they are in proportion. Ratios and proportions worksheets PDF with answers help teach kids to apply these concepts in everyday lives, such as when dealing with distances, weights, time, and heights.

Ratio And Proportion Word Problems Worksheets

Ratio And Proportion Word Problems Worksheets

Ratios Proportions Worksheets

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Ratio Proportion And Percent Worksheets

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Ratios Proportions Worksheet

Ratios Proportions Worksheet

Ratio Rates And Proportions Worksheets

Ratio Rates And Proportions Worksheets

Ratios Rates And Proportions Worksheets

Ratios Rates And Proportions Worksheets

A ratio comparing two similar quantities shows the number of portions in others. They are divided into two types: the part ratio and the whole ratio.

Proportion is comparing two quantities, also known as portion or amount, to the total. If the two ratios are equal, they are said to be proportional. There are two types of proportion: direct proportion and inverse proportion.

Math for Kids

The Ratio and Proportion Worksheet

Ratios proportions worksheets are great for learning commonly recognized percentages, fractions, and decimal equivalents. Downloaded ratios and proportions worksheets in PDF format will produce a table of equivalent quantities rates for a student to work on. Kids may have to leave blank spaces or fill out the table. You can select different types of problems and have them in numerical or word format.

Benefits of Ratio and Proportion Worksheets

Students develop practical knowledge through solving ratio and proportion worksheets as the concepts play an essential role in everyday life. Real-world examples include buying groceries, identifying price per kilogram, calculating ingredients in a recipe, guessing the length of a long trip, and more.

Ratios And Proportions Worksheets PDF

Ratios And Proportions Worksheet

Ratio And Proportion Worksheet

Ratios And Proportions Word Problems Worksheets

The ratios and proportions word problems worksheets teach young learners to work with volumes, understand equations, and use fractions. Ratio and proportion word problems worksheets help kids understand the concepts of ratio and proportion quantities, which are also crucial for approaching other math topics. These ratio proportions worksheets help kids apply

More Proportions Worksheets

  • Proportion Word Problems Worksheets
  • Solving Proportions Worksheets

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Ratio and Proportion Worksheets 7th Grade

Ratio and proportion worksheets 7th grade help students in practicing questions on expressing ratios in the simplest form, simplifying ratios, comparing ratios, arranging ratios in the ascending order or descending order, proportion, and also mean proportional between numbers. These worksheets also help students in practicing questions involving tables, graphs, word problems, etc.

Benefits of 7th Grade Ratio and Proportion Worksheets

Ratio and proportion worksheets 7th grade 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. Students can study at their own pace and can solve problems with a gradually increasing difficulty level. As these worksheets are also interactive, students can rely on visual simulations to promote a better understanding of the topic.

Printable PDFs for Grade 7 Ratio and Proportion Worksheets

7th Grade Ratio and Proportion worksheets are available as PDFs that can be downloaded for free, enabling students to access them offline.

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  • 7th Grade Ratio and Proportion Math Worksheet
  • Seventh Grade Ratio and Proportion Worksheet
  • Grade 7 Math Ratio and Proportion Worksheet

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Proportions word problems

Ratios, Proportions and Problem Solving Workbook

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Math worksheets: Proportions word problems

Below are grade 6 math worksheets with proportions word problems.

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Practice Test on Ratio and Proportion

Math practice test on ratio and proportion encourage the students to practice the questions given in the worksheet. The questions are mainly related to the simplification of ratio to its lowest terms, continued proportion and also word problems on ratio and proportion.

1.  The ratio of monthly income to the savings in a family is 5 : 4 If the savings be $9000, find the income and the expenses. 

2.  What should be added to the ratio 5 : 11, so that the ratio becomes 3 : 4? 

3.  Two numbers are in the ratio 7 : 5. If 2 is subtracted from each of them, the ratio becomes 3 : 2. Find the numbers. 

4.  Two numbers are in the ratio 3 : 7. If their sum is 710, find the numbers. 

5.  Find the ratio of A : B: C when  (a) A : B = 3 : 5   A : C = 6 : 7  (b) B : C = 1/2: 1/6   A : B = 1/3 ∶ 1/5 

6. A sum of money is divided among Ron and Andy in the ratio 4 : 7. If Andy’s share is $616, find the total money. 7. Two numbers are in the ratio 5 : 7. On adding 1 to the first and 3 to the second, their ratio becomes 6/9 . Find the numbers. 8. The difference between two numbers is 33 and the ratio between them is 5 : 2. Find the numbers. 9. The ages of A and B are in the ratio 3 : 5. Four years later, the sum of their ages is 48. Find their present ages. 10. Ramon has notes of $100, $50 and $10 respectively. The ratio of these notes is 2 : 3 : 5 and the total amount is $2,00,000. Find the numbers of notes of each kind. 11. If 4A = 5B = 6C, find the ratio of A : B : C. 12. Divide $430 into 3 parts such that A gets 5/4 of B and the ratio between B and C is 3 : 4. 13. A certain sum of money is divided among A, B, C in the ratio 2 : 3 : 4. If A's share is $200, find the share of B and C. 14. Divide $940 among A, B, C in the ratio 1/3: 1/4 ∶ 1/5 15. The ratio of number of male and female teachers in a school is 3 : 4. If there are 16 female teachers, find the number of male teachers. 16. In a library the ratio of English books to Math books, is the same as the ratio of Math books to Science book. If there are 1200 books on English and 1800 books on Math, find the number of Science books. 17. Set up all the possible proportions from the numbers 12, 15, 8, 10. 18. Find the first term, if second, third and fourth terms are 21, 80, 120. 19. Find the second term, if first, third and fourth terms are 15, 27, 63. 20. Find the mean term, if the other two terms of a continued proportion are 15 and 60.

1. $11250, $2250 2. 13 3. 14, 10 4. 213, 497 5. (a) 6 : 10 : 7

(b) 5 : 3 : 1

6. $968 7. 15, 21 8. 55, 22 9. 15 years, 25 years 10. 1000, 1500, 2500 11. 15 : 12 : 10 12. $150, $120, $160 13. $300, $400 14. $400, $300, $240 15. 12 16. 2700 17. (i) 12 : 15 = 8 : 10

(ii) 15 : 12 = 10 : 8

(iii) 12 : 8 = 15 : 10

(iv) 8 : 12 = 10 : 15

18. 14 19. 35 20. 30

●   Ratio and Proportion

What is Ratio and Proportion?

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Worksheet on Ratio and Proportion

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IMAGES

  1. Ratio and Proportion Worksheet

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  2. Finding Equivalent Ratios With Multiplication Worksheets

    problem solving with ratio and proportion worksheet

  3. Fillable Online Proportion Word Problem Worksheet

    problem solving with ratio and proportion worksheet

  4. Ratio And Proportion Worksheet

    problem solving with ratio and proportion worksheet

  5. 12 best images of solving proportions worksheet solving

    problem solving with ratio and proportion worksheet

  6. Simplifying Ratios Worksheet

    problem solving with ratio and proportion worksheet

VIDEO

  1. Ratio and proportion

  2. Solving of ratio and proportion(mathematics project)

  3. Grade 8 maths: Rate, Ratio and Proportion (part 5

  4. Grade 8 maths: Rate, Ratio and Proportion (part 1

  5. Solving Ratio Analysis- Problem 3 explained| Commerce Cartoons Tamil

  6. Solving Ratio Analysis- Problem 9 explained| Commerce Cartoons Tamil

COMMENTS

  1. Proportions Worksheets

    Math Grade 6 Proportions Proportions Worksheets Proportions and ratios The use of proportions is a practical math skill that students often struggle with. Our proportions worksheets review whole number and decimal proportions as well as provide simple proportion word problems. Sample Grade 6 Proportions Worksheet What is K5?

  2. Free worksheets for ratio word problems

    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? ").

  3. Free proportion worksheets for grades 6, 7, and 8

    Create proportion worksheets to solve proportions or word problems (e.g. speed/distance or cost/amount problems) — available both as PDF and html files. These are most useful when students are first learning proportions in 6th, 7th, and 8th grade.

  4. Ratio Worksheets

    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. Quick Link for All Ratio Worksheets

  5. Ratio and Proportion Worksheet

    Our ratio and proportion worksheets have all been designed to use pictures and practical contexts to support understanding. The sheets have been put in order of difficulty, with the easiest first. Each problem sheet comes complete with an answer sheet. There are two sections to our worksheets:

  6. PDF Proportion Word Problems

    Answer each question. Round your answer to the nearest tenth. Round dollar amounts to the nearest cent. 15) Asanji took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars. How many dollars did he receive if he exchanged 42.7 Pesos at a rate of $5.30 = 11.1 Pesos?

  7. PDF Ratio, Rate and Proportions Practice

    A proportion is a statement that two ratios or rates are equal. It can be given as a sentence in words, but most often a proportion is an algebraic equation. The equation: 3 = 21 is a proportion because its cross-products are equal. . 5 35 3 × 35 = 105 and 5 × 21 = 105 Proportions are solved by using this cross-product rule.

  8. Ratio Problem Solving

    Ratio problem solving GCSE questions. 1. One mole of water weighs 18 18 grams and contains 6.02 \times 10^ {23} 6.02 × 1023 water molecules. Write this in the form 1gram:n 1gram: n where n n represents the number of water molecules in standard form. 2.

  9. Ratio and Proportion Worksheets

    Proportion is a statement that says two ratios are equal. Ratio and proportion worksheets encourage students to practice word problems based on it like express ratios in simpler form, compare ratios etc. The numbers in a ratio may be quantities of any kind, such as counts of people or objects, measurements of lengths, weights, time, etc.

  10. Solving Proportions Worksheets

    Level 1: Solve the Proportion - Algebraic Expression Evaluate the proportions involving algebraic expressions with two terms. Use the proportionality rule and solve the equations to obtain the value of the missing variable. Download the set Level 2: Solve the Proportion - Algebraic Expression

  11. 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. Each problem sheet comes complete with an answer sheet. solve a range of word problems.

  12. Ratio: Problem Solving Textbook Exercise

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

  13. Ratio and Proportions Worksheets

    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:

  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. PDF Ratio/Proportion Word Problems

    Set up a proportion to solve each problem, show all work, and label all answers. 1. The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there? 2. It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need? 3. At a recent party, it cost $9.50 for refreshments for 10 guests.

  16. Ratio and Proportion Worksheets

    The ratio worksheets include direct proportion and inverse proportion questions and enable students to see ratios as fractions, decimals and whole numbers. They'll also learn how to simplifying ratios to their simplest form gives an equivalent ratio that is easier to work with. Numbers can be shared in a given ratio and reducing ratios to ...

  17. FREE Ratios And Proportions Worksheets [PDFs] Brighterly

    Ratios And Proportions Worksheets Teacher Jo-ann 3 minutes read Created: October 28, 2022 Last updated: June 6, 2023 Ratios are essential for kids when it comes to learning mathematics. They help introduce the idea of proportions to children, which they will later use when learning about algebra.

  18. Ratio and Proportion Worksheets 7th Grade

    Ratio and proportion worksheets 7th grade 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. Students can study at their own pace and can solve problems with a gradually increasing difficulty ...

  19. PDF Solving Proportions Date Period

    Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Worksheet by Kuta Software LLC. ©J a2]0e1H8a HKhuKtqa]wSNo`fetdwwa^rjet ILWLTCq.q ` IAclqlf Lr[itgkhFtGsx Wrteysbeurrvuehdl.s R aMKaGdxeH qwyietnhM wIbnTfWixnUi]tjea cAtlHgHe\b]rBaT e1W.

  20. Ratio Practice Questions

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

  21. Grade 6 Math Worksheet: Proportions word problems

    Grade 6 math worksheets on solving proportions word problems. Free pdf worksheets from K5 Learning's online reading and math program.

  22. Practice Test on Ratio and Proportion

    1. The ratio of monthly income to the savings in a family is 5 : 4 If the savings be $9000, find the income and the expenses. 2. What should be added to the ratio 5 : 11, so that the ratio becomes 3 : 4? 3. Two numbers are in the ratio 7 : 5. If 2 is subtracted from each of them, the ratio becomes 3 : 2. Find the numbers. 4.