proportion homework sheet

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Real World Algebra by Edward Zaccaro

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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These free  proportions worksheets  will help you set up and solve proportions that represent everyday, real-life situations involving integers and fractions.

These solving  proportions worksheets will help students meet Common Core Standards for Expressions & Equations as well as  Ratios & Proportional Relationships .  I would recommend these exercise for 6th grade, 7th grade, and 8th grade math students.

Integer Worksheets

Solving Proportions Worksheet 1 (Integers) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 1 RTF Solving Proportions Worksheet 1 PDF Solving Proportions Worksheet 1 in Your Browser View Answers

Solving Proportions Worksheet 2 (Integers) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 2 RTF Solving Proportions Worksheet 2 PDF Solving Proportions Worksheet 2 in Your Browser View Answers

 Solving Proportions Worksheet 3   (Integers) – This 10 problem worksheet features word problems with proportions that are partially complete.  You will have to complete and solve the proportions to find the unit rate. Solving Proportions Worksheet 3 RTF Solving Proportions Worksheet 3 PDF Solving Proportions Worksheet 3 in Your Browser View Answers

Solving Proportions Worksheet 4  ( Integers) – This 9 problem worksheet features word problems where you will have to set up and solve proportions to find a unit rate. Solving Proportions Worksheet 4 RTF Solving Proportions Worksheet 4 PDF Solving Proportions Worksheet 4 in Your Browser View Answers

Fraction Worksheets

Solving Proportions Worksheet 1 (Fractions) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 1 RTF Solving Proportions Worksheet 1 PDF Solving Proportions Worksheet 1 in Your Browser View Answers

Solving Proportions Worksheet 2 (Fractions) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 2 RTF Solving  Proportions Worksheet 2 PDF Solving Proportions Worksheet 2 in Your Browser View Answers

 Solving Proportions Worksheet 3   (Fractions) – This 10 problem worksheet features word problems with proportions that are partially complete.  You will have to complete and solve the proportions to find the unit rate. Solving Proportions Worksheet 3 RTF Solving Proportions Worksheet 3 PDF Solving Proportions Worksheet 3 in Your Browser View Answers

Solving Proportions Worksheet 4  ( Fractions) – This 9 problem worksheet features word problems where you will have to set up and solve proportions to find a unit rate. Solving Proportions Worksheet 4 RTF Solving Proportions Worksheet 4 PDF Solving Proportions Worksheet 4 in Your Browser View Answers

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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

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Ratio and Proportion Worksheet

Welcome to our Ratio and Proportion worksheet page. Here you will find our range of 6th Grade worksheets which will help your child learn about ratios and proportions in a practical context.

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Ratio and Proportion Worksheets

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:

• the first section involves using the image to work out the ratios and proportions involved.
• the second section involves coloring in the objects to show the required ratio, and working out the proportion of one object to the whole set.

Using these sheets will help your child to:

• learn about how ratio works;
• write and use ratios in their lowest terms;
• understand what proportion is and learn to show proportion in simplest form.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

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• How do Ratio and Proportion Work?

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Ratio and proportion color in worksheets.

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Ratio and Proportion Online Quiz

How do ratio and proportion work, how to work out ratios and proportions.

When we look at ratios, we are usually looking at the relationship of one object compared to another.

When we are looking at proportions, we are looking at one object compared to the whole set of objects.

Proportions are usually written as fractions.

Let's have a look at the example below:

There are 3 orange fish and 2 blue fish, so the ratio of orange fish to blue fish is 3:2.

There are 3 orange fish out of 5 fish, so the proportion of orange fish is 3 ⁄ 5 .

There are 2 blue fish out of 5 fish, so the proportion of blue fish is 2 ⁄ 5 .

What does lowest term ratio mean?

Just like fractions, ratios can be simplified.

We can simplify ratios by finding common factors of the numbers involved and dividing them all by the common factors.

The ratios are in lowest terms (or simplest form) when there are no more common factors except 1.

Look at the example below:

The ratio of yellow snails to red snails is 2 to 4 or 2 : 4.

Because these two numbers have a common factor of 2, they can both be divided by 2 to give a simpler ratio.

So 2 : 4 = 1 : 2

There are now no common factors apart from 1, so we cannot simplify the ratio further.

So the ratio of yellow snails to red snails in lowest terms is 1 : 2.

This means that there 1 yellow snail for every 2 red snails.

How can we simply the proportion?

The proportion is usually written as a fraction.

We can simplify the proportion by writing the fraction in simplest form.

Look at the snail example again:

There are 2 yellow snails and 4 red snails, so 2 out of 6 snails are yellow and 4 out of 6 snails are red.

The proportion of yellow snails is 2 ⁄ 6 . This can be simplified to 1 ⁄ 3 .

The proportion of red snails is 4 ⁄ 6 . This can be simplified to 2 ⁄ 3 .

Sheets 1 to 3 involve finding simple ratios and proportions with no need to convert to lowest terms. They are great as an introduction to ratio and proportion.

Sheets 4 and 5 involve recording ratios and proportions in lowest terms.

Sheet 6 involves recording ratios and proportions in lowest terms to 3 different objects. It is the hardest sheet.

• Ratio and Proportion Sheet 1
• PDF version
• Ratio and Proportion Sheet 2
• Ratio and Proportion Sheet 3
• Ratio and Proportion Sheet 4
• Ratio and Proportion Sheet 5
• Ratio and Proportion Sheet 6

These sheets involve coloring the objects according to the given ratios and working out the proportions.

Sheet 1 involves coloring in objects and recording numbers of objects where the ratios match the total number of objects.

Sheet 2 is similar to Sheet 1, but the number of objects is sometimes a multiple of the ratios.

Sheet 3 involves coloring 3 different objects and working out each of the 3 proportions according to the given ratios.

• Ratio and Proportion Color In Sheet 1
• Ratio and Proportion Color In Sheet 2
• Ratio and Proportion Color In Sheet 3

More Recommended Math Worksheets

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

More Ratio & Unit Rate Worksheets

We have a selection of other ratio worksheets, which involve only ratio questions.

We also have a collection of ratio word problem worksheets.

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

5th Grade Percentage Worksheets

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

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Related Fraction Worksheets

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Proportions Worksheets

• Pre-Algebra >

Call them wall-to-wall practice or an across-the-board review, our free printable proportions worksheets get you the whole shebang of equivalent ratios. Apart from identifying, forming, and solving proportions, exercises on the constant of proportionality, proportional relationships, unit rate, and word problems pervade this collection, primed to make a mark on your proportions practice.

Our proportions worksheet pdfs are ideal for math wizards in grade 6, grade 7, and grade 8.

Identifying Proportions - Pair of Ratios

A promising start for a fruitful session, these identifying proportions worksheets guide 6th grade kids to cruise through the pairs of ratios and cull out the proportions.

Identifying Proportions - Tables

The 7th grade and 8th grade students are in for a treat with these proportion worksheet pdfs, where they check whether the values of x and y in the given tables are proportional.

Forming Proportions

Salute groups of four numbers that are gratefully awaiting their foray into the world of proportions in these creating proportions worksheets for grade 7 and grade 8.

Solving Proportions - Level 1

Unmask the unknown variables in these printable proportion worksheets that task math enthusiasts with cross-multiplying to solve for the value of the variable.

Solving Proportions - Level 2

Let your peers be green with envy as you display your numerical mastership to take on the challenge of solving these sets of problems where the value of the unknown variable is a fraction.

Constant of Proportionality Worksheets

Identify the constant of proportionality, ‘k’, in each of the data sets in these exercises, keeping in mind that y = kx. Be it graphs, linear relationships, or tables, we have you covered.

Unit Rate Worksheets

As you find the rates or unit rates for the graphs, phrases, and word problems in this printable set, remember the rate is a ratio of two terms in unlike units while the unit rate is where the denominator is 1.

Proportions Word Problems Worksheets

In these proportion worksheets pdf, grade 6 and grade 7 students thrive on proportions drawn on practical scenarios, as they unleash their inner math genius on word problems.

Related Printable Worksheets

▶ Ratio

▶ Percent

▶ Equivalent Fractions

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Ratio and Proportions Worksheet With Answer Key

Students will practice working with ratios and proportions.

Example Questions

Other Details

This is a 4 part worksheet:

• Part I Model Problems
• Part II Practice
• Part III Challenge Problems
• Part IV Answer Key
• Ratios in Math

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Ratio & Proportion: Homework Worksheets

Subject: Mathematics

Age range: 11-14

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Last updated

12 October 2013

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Chapter 5: Ratios and Proportions

Chapter 5 homework solutions.

5.1-5.3 Extra Practice Worksheet

5.1 Ratios and Rates

5.1 Lesson Preso

5.1 Textbook Exercises: page 167

Ba: 1-6, 11-27 odd;

Avg: 1-6, 11-21 odd, 24-28 even, 29, 31;

Adv: 1-6, 18-38 even

5.2 Proportions

5.2 Textbook Exercises page 174

Ba: 1-4, 5-13 odd, 21-27 odd;

Avg 1-4, 5-13 odd, 22-30 even;

Adv: 1-4, 6-14 even, 22-32 even

5.3 Writing Proportions

5.3 Lesson Preso

5.3 Textbook Exercises page 182

Ba: 1-3, 9, 11, 12, 13-23 odd

Avg: 1-3, 8-14 even, 19-23

Adv: 1-3, 8-24 even, 25

5.4 Solving Proportions

5.4 Lesson Preso

5.4 Textbook Exercises page 190

Ba: 1-3, 5-9 odd, 15-21 odd, 22, 23-27 odd

Avg: 1-3, 5-9 odd, 15-21 odd, 22, 29, 30, 32-35

Adv: 1-3, 4-8 even, 14-38 even

5.5 Lesson Preso

5.5 Textbook Exercises page 196

Ba: 1-3, 5-11 odd, 12, 13-17 odd

Avg: 1-3, 5-11 odd, 12, 14-17

Adv: 1-3, 4-18 even

5.6 Direct Variation

5.6 Lesson Preso

5.6 Textbook Exercises page 202

Ba: 1-3, 7-17 odd, 18, 19-25 odd

Avg: 1-3, 7-17 odd, 18-28 even

Adv: 1-3, 8-28 even

Chapter 5 Review

5.1-5.3 Review Quizizz:

5.4-5.6 Review Quizizz:

Chapter 5 Review Quizizz:

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Unit 4: Proportional relationships and percentages

Lesson 2: ratios and rates with fractions.

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• Rates with fractions Get 3 of 4 questions to level up!

Lesson 3: Revisiting proportional relationships

• Proportion word problems Get 3 of 4 questions to level up!

Lesson 5: Say it with decimals

• Fraction to decimal: 11/25 (Opens a modal)
• Worked example: Converting a fraction (7/8) to a decimal (Opens a modal)
• Converting fractions to decimals Get 3 of 4 questions to level up!

Lesson 7: One hundred percent

• Rational number word problem: ice (Opens a modal)
• Percent problems Get 3 of 4 questions to level up!

Lesson 8: Percent increase and decrease with equations

• Equivalent expressions with percent problems Get 3 of 4 questions to level up!

Lesson 10: Tax and tip

• Interpreting linear expressions: diamonds (Opens a modal)
• Tax and tip word problems Get 3 of 4 questions to level up!

Lesson 11: Percentage contexts

• Percent word problem: guavas (Opens a modal)
• Percent word problems: tax and discount (Opens a modal)
• Discount, markup, and commission word problems Get 3 of 4 questions to level up!

Ratio Worksheets

• Kindergarten

Ratios , Proportions , and Percents

A ratio is a comparison of two numbers . It can be written in three ways: using the word "to," using a colon, or as a fraction . For example, the ratio of boys to girls in a class of 20 students can be written as 4:6, 4 to 6, or 4/6.

Proportions

A proportion is an equation that states that two ratios are equal. For example, if 2/3 is equal to 4/x, then it forms a proportion . Proportions can be solved using cross multiplication .

A percent is a ratio that compares a number to 100. It is often represented using the symbol "%". For example, 25% means 25 out of 100, or 0.25 as a decimal . Percentages are commonly used to express parts of a whole or to compare one quantity to another.

Study Guide

• Understand the concept of ratios and how to express them in different forms.
• Learn how to identify and solve proportions by using cross multiplication .
• Practice converting between fractions , decimals , and percents .
• Understand the relationship between fractions , decimals , and percents .
• Apply the concepts of ratios , proportions , and percents to real-world problems , such as discounts, taxes, and interest rates .

Example Problems

1. Calculate 30% of 80.

Answer: To calculate 30% of 80, you can use the formula : (30/100) * 80 = 24.

2. Solve the proportion : 2/5 = 4/x.

Answer: Cross multiplying gives you 2x = 20, so x = 10.

3. Express the ratio 3:5 as a fraction in simplest form.

Answer: The ratio 3:5 can be written as the fraction 3/5, which is already in its simplest form.

[Ratios, Proportions And Percents] Related Worksheets and Study Guides:

• Ratio Mathematics • Fifth Grade
• Percents Mathematics • Fourth Grade
• Similarity and scale Mathematics • Eighth Grade
• Applications of percent Mathematics • Eighth Grade
• Ratio Mathematics • Sixth Grade

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◂ Math Worksheets and Study Guides Eighth Grade. Ratios, proportions and percents

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All About Maths

Ratio and proportion (8300 - foundation - ratio, proportion and rates of change).

Specification references (in recommended teaching order)

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

• All students will develop confidence and competence with the content identified by standard type
• All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
• Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

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