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Free Ratio, Percentage Math Worksheets pdf

Convert Percents To Decimals

Percent Of Numbers

Ratio Coversions 2

Ratio Coversions

Percent convert worksheet.

Practice Percentage conversion to decimal

Percentage Of Worksheet Money

Fractions conversion into decimal number

Finding percentage Of Numbers

What is the percentage of 27.

 How to solve word percentage problems

Probabilities Worksheet

Learn how to figure out probabilities percentage

Ratio Conversion PDF Practice ratio conversion with this table

Percentage word problems, write probabilities in decimal.

 probabilities convertion to decimal numbers

 Ratio Worksheet Grade 6

Free ratio and rates worksheet

Ratio Worksheet

Free Printable Ratio Conversion 

Convert Percentage To Decimals

In math, percentage stands for an alternative method to express ratio with respect to a hundred. If we are trying to convert percentage.  It means that as people mention a percentage of something in their conversion, it simply refers to a way of comparing 2 parts of the complete value. As a matter of fact, percentage of a numbers can be denoted as its ratio.

This is how people try to figure out what are the expense ratio of mutual fund . which is the value of that specific number, as compared to a hundred of itself. Percentage or ratios of numbers are often expressed with the character %.for instance, in case we are concerned about figuring out the amount of people who where present at the hockey arena as compared to the arena’s full capacity, assuming the Arena can take up to a thousand people, but only 800 people attended the event, then the percentage of people that attended the game is written 80%. As a ratio, we can express that 8 in every 10 seats in the Arena were occupied. Further, the decimal for of this figure is expressed as 0.8.

Mastering Ratios | Ratios Tables Worksheets

In the world of mathematics, ratios are the building blocks that help us understand and compare quantities. For students and educators alike, mastering ratios is an essential skill, and one effective way to do so is through ratios tables worksheets. In this page, you will find great amount of resources that will help explore the importance of ratios tables worksheets, and provide you with valuable insights to enhance your mathematical prowess.

Understanding Ratios: The Basics

Before we dive into the world of ratios tables worksheets, let’s ensure we have a solid grasp of what ratios are. A ratio is essentially a comparison between two or more quantities. It helps us understand the relationship between these quantities, making it easier to solve various real-world problems.

Imagine you’re baking cookies and the recipe calls for a ratio of 2:1 for flour and sugar. This means for every 2 cups of flour, you need 1 cup of sugar. Ratios are used everywhere, from cooking to construction, and they are fundamental in mathematics.

The Significance of Ratios in Mathematics

Ratios serve as the foundation for numerous mathematical concepts, such as proportions, percentages, and rates. They are especially crucial in fields like finance, science, and engineering, where precise comparisons and measurements are required. A solid understanding of ratios is, therefore, vital for academic success and practical applications.

Ratios Tables Worksheets: A Powerful Learning Tool

Now that we’ve established the importance of ratios, let’s explore how ratios tables worksheets can be a game-changer in your learning journey.

1. Visual Representation

Ratios tables worksheets provide a visually appealing way to represent ratios and their corresponding values. This visual aid makes it easier for students to comprehend complex relationships between quantities. When ratios are presented in tabular form, learners can quickly identify patterns and trends.

2. Practice Makes Perfect

The old adage “practice makes perfect” holds true when it comes to mastering ratios. Ratios tables worksheets offer a plethora of practice problems that gradually increase in complexity. This progressive approach ensures that students develop a strong foundation before tackling more advanced concepts.

3. Real-World Applications

One of the greatest strengths of ratios tables worksheets is their applicability to real-world scenarios. Whether you’re calculating ingredient proportions for a recipe, determining financial ratios for investment decisions, or analyzing scientific data, ratios are everywhere. Worksheets bridge the gap between theoretical knowledge and practical usage.

4. Individualized Learning

Every student learns at their own pace, and ratios tables worksheets accommodate this diversity. They can be customized to cater to different skill levels, allowing both beginners and advanced learners to benefit from targeted practice.

5. Assessment and Progress Tracking

Educators can use ratios tables worksheets to assess their students’ understanding and track their progress. Regular assessments help identify areas that require additional attention, ensuring a well-rounded education.

As a result from the above, ratios are an integral part of mathematics and play a significant role in various aspects of our lives. Ratios tables worksheets offer a dynamic and effective way to grasp the concept of ratios, providing visual representation, ample practice opportunities, and real-world applications. Whether you’re a student looking to improve your math skills or an educator seeking valuable teaching resources, ratios tables worksheets are an invaluable tool on your journey to mastering ratios. Embrace the power of ratios, and unlock a world of mathematical possibilities.

Percentage And Ratios Worksheets

This math worksheet page on percentage and ratio elucidates many examples like the one presented above. For example, kids will be asked  about   what is the percentage of 27 out of 30. In this sense, most activities presented within the worksheets are in accordance with how to find the number of a percentage some ration and percentage math problems are in regard to probabilities course , as the learner will be asked to find out what is the likelihood of an event to occur. This will be expressed in the form of “there is only 20% chances to find an unoccupied seat in the Arena this afternoon, given that 80% of the seats are taken already. Ratio and percentage of numbers are applied in various domains, some people use this as a way to monitor their weight lost, as they strive to make use of this as their weight loss calculator by percentage, as well as trying to figure out the water in human body percentage that would procure satisfactory weight lost diet .

Free Ratio, Percentage Math Worksheets pdf, Ratio and Percentage Math Worksheets to practice different ratio and percent problems, 3rd, 4th, 5th, 6th, 7th grade math problems, This is one of the best topics in mathematics. 

When teaching ratio, ask students to share some oranges (or any other available material) among themselves in relation to a particular ratio. This will give them the idea of what ratio looks like. You can also put them through the percentage teaching with other similar practical examples. 

Another section of the worksheets presented on this page is dedicated to understanding and mastering ratio calculations. Ratios are a fundamental mathematical concept that plays a pivotal role in various aspects of our lives, from finance and engineering to everyday decision-making. In this informative resource, we will unravel the intricacies of ratio calculations, making this essential skill accessible and applicable to learners and enthusiasts of all levels.

The Language of Ratios

Ratios are a universal language for comparing quantities and understanding relationships between them. Whether you’re a student just beginning to explore ratios or a professional seeking to sharpen your analytical skills, our guide will provide you with the knowledge and tools to work confidently with ratios.

Demystifying Ratio Calculations

Ratios worksheets offered in this page will take you through the essential components of ratio calculations, including:

• Understanding Ratios: Learn the basics of what ratios are and how they are used in different contexts.
• Solving Ratio Problems: Gain proficiency in solving a wide range of ratio problems, from simple to complex.
• Ratio Types: Explore different types of ratios, such as proportionality, rates, and percentages, and understand when and how to apply them.
• Real-World Applications: Discover how ratios are employed in practical scenarios, such as financial analysis, recipe scaling, and architectural design.

Why Ratio Calculations Matter

Ratios are a crucial tool for making informed decisions in fields like business, science, and everyday life. Whether you’re analyzing financial statements, adjusting a recipe for a larger crowd, or determining the dimensions of a new project, understanding ratios is indispensable.

Empower Yourself with Knowledge

Our goal is to empower you with the knowledge and skills to confidently tackle ratio calculations. Whether you’re a student, educator, or professional, our resource provides valuable insights, real-world examples, and interactive exercises to enhance your proficiency in working with ratios.

Dive into Ratio Calculations

Begin your journey into the world of ratio calculations by exploring our user-friendly content. We provide step-by-step guidance, practical exercises, and illustrative examples to help you grasp this essential mathematical concept. Unlock the power of ratios and embark on a path where precision and informed decision-making are at your fingertips.

Start your exploration of ratio calculations today, and elevate your mathematical prowess to new heights!

How To Find The Percentage Of  Numbers.

If you are teach8ing children about how to find the percentage of numbers, Let them know that percentage deals with divided by 100. This will give them a clue to what to expect during the course of study. To make the teaching and learning of ratio and percentage easier for the teacher and the students respectively, this worksheet provides a lot of exercises to be of help. Below are some of the topics included in this ratio and percentage worksheet, Answer keys are available, free resource for teachers.  

 Convert percents to decimals – The conversion of percentages to decimals is one of the easiest questions to solve in mathematics. The conversion of percentages to decimals is done by just a simple manipulation. The exercises in this section consist of a mixture of both percentages to be converted to decimals and decimals to be converted to percentages. 

Kids must be guided to do this properly and correctly and in case they have any problem, the teacher must be able to put them through. – Percent of numbers – Kids will be guided and asked to find the percentages of the given numbers. They must be able to do this properly with and without the help of their teacher.   Ratio conversions 1 and 2 – Ratios will be converted from to percentages from this section of the worksheet.

Percentage word problems are an integral component of arithmetic and algebra, bridging real-life scenarios with mathematical concepts. Whether you’re computing discounts during a shopping spree, determining interest on a bank loan, or figuring out the fraction of a team’s winning games, you’re delving into the realm of percentage word problems.

This page offers worksheets that helps understanding these problems, breaking them down, and figuring out the best strategies to solve them. check out our percentage word problems worksheets that will help kids face these type of problems. Word percentage problems refer to real life problems which might not always be straightforward. For example, compound interest problems involve percentage calculations across multiple periods. Below are some tips that will help in solving word percentage problems.

Avoid Mental Math: While it’s tempting to solve simpler problems in your head, always write down your calculations. This reduces the risk of errors and provides a clear pathway for solving.

Practice Regularly: Like all math problems, the key to mastering percentage word problems is consistent practice. Regularly attempting different problems enhances familiarity and problem-solving speed.

Use Real-life Situations: Making problems relatable can make them more comprehensible. For example, calculating discounts on favorite items, or determining the fat percentage in foods, can make the learning process engaging.

Verify Your Answers: Once you’ve solved a problem, try plugging your answer back into the problem to see if it makes sense. This can help you catch mistakes and confirm your solution.

As a result, percentage word problems are a crucial bridge between abstract mathematical concepts and their real-world applications. They equip learners with the ability to interpret, analyze, and make decisions in various life situations, from shopping to banking, and from sports statistics to data analysis. To master these problems, one needs a clear understanding of the foundational concepts, coupled with regular practice. Remember, math is not just about numbers; it’s about problem-solving. Every percentage word problem offers a challenge, and with the right tools and mindset, you can solve them with confidence and ease.

How To Find Percentage Of Money Worksheet

Percentages play a pivotal role in our day-to-day financial activities, from calculating discounts during sales to determining interest on loans or savings accounts. When dealing with money, understanding how to find percentages can be invaluable. This page offers worksheets that provides a step-by-step guide to finding the percentage of money:

1. Understand the Basics of Percentages:

The term “percent” stems from the Latin phrase “per centum,” meaning “by the hundred.” A percentage essentially represents a fraction out of 100. For example, 50% is equivalent to 50 out of 100, or half. Note that when dealing with money, especially in real-life scenarios, it’s common to round to the nearest cent. For instance, if you find 33.333% of $50, the result is $16.6665, which you’d typically round to $16.67.

c. Practice Regularly: The more you work with percentages, the more intuitive the process will become. Regular practice helps solidify your understanding.

In this sense, Finding the percentage of money is a fundamental skill, applicable in various scenarios, from shopping and dining to banking and investing. By downloading percentage worksheets offered on this page, you will understand the underlying principles and practicing with real-life examples, you can confidently navigate the world of financial percentages.

Probability Worksheet And Answers

Probability is a fundamental concept in mathematics and statistics that plays a crucial role in our daily lives. It helps us make predictions, assess risks, and make informed decisions. This page also presents probability worksheets which  is a valuable educational resource designed to engage learners of all ages in the exciting world of chance and uncertainty. Probability worksheets on this page offers a collection of carefully crafted worksheets that cover various aspects of probability, providing opportunities for hands-on learning and practice. We will therefore explore the content and benefits of a Probabilities Worksheets presented here.

Content and Variety: A Probabilities Worksheets Page typically offers a diverse range of worksheets, each focusing on different aspects of probability theory and applications. Here are some common types of worksheets you can expect to find:

Basic Probability: These worksheets introduce students to the concept of probability by exploring simple events, such as coin flips and dice rolls. Learners calculate the likelihood of various outcomes and gain a fundamental understanding of probability.

Probability Models: Worksheets in this category delve deeper into probability by introducing probability models, such as probability trees and grids. Students learn how to represent and calculate probabilities using these models.

Probability Experiments: These worksheets engage students in conducting probability experiments, such as drawing colored marbles from a bag or spinning a spinner. They record outcomes and calculate experimental probabilities.

Word Problems: Word problem worksheets present real-life scenarios where probability comes into play. Students apply their knowledge to solve problems related to games of chance, weather forecasting, and more.

Conditional Probability: Advanced worksheets may explore conditional probability, where learners calculate probabilities under specific conditions or given certain information.

Probability Distributions: For more advanced learners, worksheets may introduce probability distributions and concepts like expected value and variance.

Benefits of Probabilities Worksheets Page:

Hands-on Learning: Worksheets provide an interactive and hands-on approach to learning probability, allowing students to actively engage with the material.

Progressive Learning: Worksheets are often organized by difficulty level, enabling learners to start with basic concepts and progressively move towards more complex probability scenarios.

Practice and Mastery: Repetition is key to understanding probability, and worksheets offer ample opportunities for practice and skill development.

Real-World Relevance: Many worksheets include real-world scenarios, helping students see the practical applications of probability in various fields, from statistics to finance.

Independent Learning: Learners can complete worksheets independently, making them suitable for classroom assignments, homework, or self-study.

Assessment and Evaluation: Teachers can use completed worksheets to assess students’ comprehension and progress in probability.

Tips for Using a Probabilities Worksheets Page:

Start with the Basics: Begin with basic probability worksheets for learners new to the concept, and gradually introduce more complex topics as they build proficiency.

Encourage Critical Thinking: Encourage students to think critically and explain their reasoning when solving probability problems.

Use Real-Life Examples: Relate probability concepts to real-life situations to make learning more relatable and engaging.

Promote Collaboration: Encourage peer collaboration and discussion when solving probability problems to foster a deeper understanding of the material.

Review and Reinforce: Regularly review completed worksheets and provide constructive feedback to reinforce learning.

Hence,  Probabilities Worksheets offered on this page is a versatile educational resource that caters to learners of various ages and levels of mathematical proficiency. By offering a diverse range of worksheets covering different aspects of probability, this page facilitates an in-depth exploration of chance and uncertainty. With hands-on learning opportunities, real-world relevance, and the flexibility for independent study, these worksheets play a vital role in building a solid foundation in probability theory and its applications. Whether used in the classroom or for self-study, a Probabilities Worksheets Page is a valuable tool for anyone looking to grasp the fascinating world of probabilities.

 In a situation whereby kids find this difficult to by themselves, teachers are meant to be of help to them and put them through. Some of the works provided can be used as examples to the kids. They will be able to do the rest with no stress. After going through all these exercises, all kids must be able to tackle any problem that is related to ratio and percentage. If they seem to find some of these questions difficult, the teacher must help them with fun-filled practical examples..

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Percentages, Ratio and Proportion

Percentages, ratio and proportion worksheets.

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Ratio To Percentage

Here we will learn about ratio to percentage, including how to convert from ratios to percentages and how to solve word problems involving converting ratios to percentages.

There are also ratio to percentage worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What is ratio to percentage?

Ratio to percentage is when you use a given ratio to calculate a percentage.

A ratio tells us how much there is of one thing in relation to another thing.

For example, if Olivia and Dean share some sweets in the ratio 3:2 then for every 3 sweets Olivia gets, Dean gets 2. You can use this information to write the percentage of sweets Olivia and Dean each get. 

To find the percentage of sweets they each get, first convert the ratio into fractions. 

Step-by-step guide: Ratio to fractions

The ratio 3:2 has 5 parts, so the fractions are \frac{3}{5} : \frac{2}{5}.

Olivia gets three fifths of the sweets and Dean gets two fifths. You can convert these fractions to percentages.

You may be able to recognise what the fractions are as percentages or you may need to use long division to help convert your fractions.

Step-by-step guide: Fractions to percentages

\frac{3}{5}=60\%, so Olivia gets 60\% of the sweets.

\frac{2}{5}=40\%, so Dean gets 40\% of the sweets.

How to convert a ratio to a percentage

In order to convert a ratio to a percentage:

Add the parts of the ratio for the denominator of the fractions.

Convert each part of the ratio to a fraction.

Convert the fractions to percentages.

Explain how to convert a ratio to a percentage

Ratio to percentage worksheet

Get your free ratio to percentage worksheet of 20+ questions and answers. Includes reasoning and applied questions.

Related lessons on ratio

Ratio to percentage is part of our series of lessons to support revision on ratio . You may find it helpful to start with the main ratio lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

• How to work out ratio  
• Simplifying ratios
• Ratio to fraction
• Dividing ratios
• Ratio problem solving
• Ratio scale

Ratio to percentage examples

Example 1: converting a two part ratio to percentages.

The ratio of blue counters to red counters is 3:1. Write the ratio as percentages.

3+1=4. There are 4 parts in total. The denominator is 4.

2 Convert each part of the ratio to a fraction.

3:1 becomes \frac{3}{4}:\frac{1}{4} .

3 Convert the fractions to percentages.

\frac{3}{4} and \frac{1}{4} are common fractions for which you need to know the percentage conversions.

Example 2: converting a two part ratio to percentages

The ratio of green counters to yellow counters is 3:5. What percentage of the counters are green?

3+5=8. There are 8 parts in total. The denominator is 8.

3:5 becomes \frac{3}{8}:\frac{5}{8}.

0.375=37.5\% and 0.625=62.5\% therefore,

\frac{3}{8}:\frac{5}{8}=37.5\%:62.5\% .

Order is important in ratios and in this ratio the number of green counters is first.

Therefore the percentage of counters that are green is 37.5\%.

Example 3: converting a three part ratio to percentages

A garden centre sells three types of bulbs; daffodil, tulip and lily, in the ratio 6:9:5. What percentage of the bulbs sold are tulips?

6 + 9 + 5 = 20. There are 20 parts in total. The denominator is 20.

6:9:5 becomes \frac{6}{20}:\frac{9}{20}:\frac{5}{20}.

Writing each fraction with a denominator of 100,

\frac{6}{20}:\frac{9}{20}:\frac{5}{20}=\frac{30}{100}:\frac{45}{100}:\frac{25}{100} .

\frac{6}{20}:\frac{9}{20}:\frac{5}{20}=30\%:45\%:25\%

In this question we are interested in the number of tulips sold, which is the middle value. The percentage that are tulips is 45\%.

Example 4: solving a problem involving ratio to percentages

In April 2022, Ben and Jacob shared some money in the ratio of their ages. Ben was born in June 2014 and Jacob in January 2019. What percentage of the money does Ben receive?

In April 2022 Ben is 7 and Jacob is 3. The ratio of their ages is 7:3.

7+3=10. There are 10 parts in total. The denominator is 10.

7:3 becomes \frac{7}{10}:\frac{3}{10}.

Ben receives 70\% of the money.

Example 5: solving a problem involving ratio to percentages

The ratio of adults to children in a park is 6:4.

One third of the adults are men. What percentage of the people in the park are women?

6 + 4 = 10. There are 10 parts in total. The denominator is 10.

6:4 becomes \frac{6}{10}:\frac{4}{10}.

You have worked out that 60\% of the people are adults. 

One third of the adults are men.

\frac{1}{3} of 60\% = 20\%

20\% of the people in the park are men and therefore 60-20=40\% of the people are women.

Common misconceptions

• Ratios and fractions confusion

For example, the ratio 2:3 is expressed as the fraction \frac{2}{3} and not \frac{2}{5}. This is a misunderstanding of the sum of the parts of the ratio. Be careful with what the question is asking as the denominator may be the part, or the whole amount.

• Ratio written in the wrong order

Order is important in ratio questions and you must maintain the original order throughout your working and answer.

Practice ratio to percentage questions

1. Convert the ratio 1:4 to percentages.

This ratio has 5 parts in total therefore

Converting to percentages,

2. The ratio of people who own a dog to people who don’t own a dog is 9:11. What percentage of people own a dog?

This ratio has 20 parts therefore

45\% of people own a dog.

3. The ratio of teachers to students on a school trip is 1:7. What percentage of those on the trip are students?

The total number of parts in this ratio is 8 therefore

87.5\% of those on the trip are students.

4. Sam, Katrina and Alex share some sweets in the ratio 11:8:6. What percentage of the sweets does Sam get?

The total number of parts in this ratio is 25 therefore

Sam gets 44\% of the sweets.

5. The ratio of the number of boys in a class to the number of girls in a class is 7:3. One fifth of the boys wear glasses. What percentage of the class are boys that wear glasses?

The total number of parts in this ratio is 10 therefore

70\% of the class are boys and one fifth of the boys wear glasses.

\frac{1}{5} of 70\% = 14\% .

14\% of the class are boys who wear glasses.

6. Tony and Anne share some money in the ratio 23:27.

Anne gives a quarter of her share to her friend James.

What percentage of the money does James get?

The total number of parts in this ratio is 50 therefore

Anne gets 46\% of the money and gives one quarter of her share to James.

\frac{1}{4} of 46\% = 11.5\% .

James gets 11.5\% of the money.

Ratio to percentage GCSE questions

1. Write the following ratio as percentages.

Circle your answer.

2. William and Matthew share some money in the ratio 3:7. Matthew gives two fifths of his money to Ellie.

Who receives the most money? Show how you decide.

William 30\%, Matthew 70\%

\frac{2}{5} of 70\%=28\% .

Matthew 42\%, Ellie 28\%

Matthew receives the most money.

3. The ratio of men to women working for an accountancy firm is 5:3.

One fifth of the women are managers and 10\% of the men are managers.

What percentage of all employees are managers?

For converting 5:3 to fractions or percentages, for example 62.5\%:37.5\%.

10\% of 62.5\%=6.25\%

\frac{1}{5} of 37.5\%=7.5\%

Learning checklist

You have now learned how to:

• Convert ratios to percentages and solve problems involving ratios and percentages

The next lessons are

• Compound measures
• Best buy maths

Still stuck?

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Ratio & Percent Problems (Grade 7)

Suggested learning targets.

• I can calculate percentage of increase and percentage of decrease.
• I can calculate simple interest, tax, markups and markdowns.
• I can calculate percent increase and decrease.
• I can calculate gratuities, commissions, and fees.
• I can calculate percent error.
• I can solve multi-step ratio and percent problems using proportional relationships.
• I can justify multi-step ratio and percent in real life situations.
• I can iIdentify or describe errors to given multi-step problems and present corrected solutions.

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Percentages Worksheets

Welcome to the percentages math worksheet page where we are 100% committed to providing excellent math worksheets. This page includes Percentages worksheets including calculating percentages of a number, percentage rates, and original amounts and percentage increase and decrease worksheets.

As you probably know, percentages are a special kind of decimal. Most calculations involving percentages involve using the percentage in its decimal form. This is achieved by dividing the percentage amount by 100. There are many worksheets on percentages below. In the first few sections, there are worksheets involving the three main types of percentage problems: calculating the percentage value of a number, calculating the percentage rate of one number compared to another number, and calculating the original amount given the percentage value and the percentage rate.

Most Popular Percentages Worksheets this Week

Percentage Calculations

Calculating the percentage value of a number involves a little bit of multiplication. One should be familiar with decimal multiplication and decimal place value before working with percentage values. The percentage value needs to be converted to a decimal by dividing by 100. 18%, for example is 18 ÷ 100 = 0.18. When a question asks for a percentage value of a number, it is asking you to multiply the two numbers together.

Example question: What is 18% of 2800? Answer: Convert 18% to a decimal and multiply by 2800. 2800 × 0.18 = 504. 504 is 18% of 2800.

• Calculating the Percentage Value (Whole Number Results) Calculating the Percentage Value (Whole Number Results) (Percents from 1% to 99%) Calculating the Percentage Value (Whole Number Results) (Select percents) Calculating the Percentage Value (Whole Number Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Whole Number Results) (Percents that are multiples of 25%)
• Calculating the Percentage Value (Decimal Number Results) Calculating the Percentage Value (Decimal Number Results) (Percents from 1% to 99%) Calculating the Percentage Value (Decimal Number Results) (Select percents) Calculating the Percentage Value (Decimal Number Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Decimal Number Results) (Percents that are multiples of 25%)
• Calculating the Percentage Value (Whole Dollar Results) Calculating the Percentage Value (Whole Dollar Results) (Percents from 1% to 99%) Calculating the Percentage Value (Whole Dollar Results) (Select percents) Calculating the Percentage Value (Whole Dollar Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Whole Dollar Results) (Percents that are multiples of 25%)
• Calculating the Percentage Value (Decimal Dollar Results) Calculating the Percentage Value (Decimal Dollar Results) (Percents from 1% to 99%) Calculating the Percentage Value (Decimal Dollar Results) (Select percents) Calculating the Percentage Value (Decimal Dollar Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Decimal Dollar Results) (Percents that are multiples of 25%)

Calculating what percentage one number is of another number is the second common type of percentage calculation. In this case, division is required followed by converting the decimal to a percentage. If the first number is 100% of the value, the second number will also be 100% if the two numbers are equal; however, this isn't usually the case. If the second number is less than the first number, the second number is less than 100%. If the second number is greater than the first number, the second number is greater than 100%. A simple example is: What percentage of 10 is 6? Because 6 is less than 10, it must also be less than 100% of 10. To calculate, divide 6 by 10 to get 0.6; then convert 0.6 to a percentage by multiplying by 100. 0.6 × 100 = 60%. Therefore, 6 is 60% of 10.

Example question: What percentage of 3700 is 2479? First, recognize that 2479 is less than 3700, so the percentage value must also be less than 100%. Divide 2479 by 3700 and multiply by 100. 2479 ÷ 3700 × 100 = 67%.

• Calculating the Percentage a Whole Number is of Another Whole Number Calculating the Percentage a Whole Number is of Another Whole Number (Percents from 1% to 99%) Calculating the Percentage a Whole Number is of Another Whole Number (Select percents) Calculating the Percentage a Whole Number is of Another Whole Number (Percents that are multiples of 5%) Calculating the Percentage a Whole Number is of Another Whole Number (Percents that are multiples of 25%)
• Calculating the Percentage a Decimal Number is of a Whole Number Calculating the Percentage a Decimal Number is of a Whole Number (Percents from 1% to 99%) Calculating the Percentage a Decimal Number is of a Whole Number (Select percents) Calculating the Percentage a Decimal Number is of a Whole Number (Percents that are multiples of 5%) Calculating the Percentage a Decimal Number is of a Whole Number (Percents that are multiples of 25%)
• Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Percents from 1% to 99%) Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Select percents) Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Percents that are multiples of 5%) Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Percents that are multiples of 25%)
• Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Percents from 1% to 99%) Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Select percents) Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Percents that are multiples of 5%) Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Percents that are multiples of 25%)

The third type of percentage calculation involves calculating the original amount from the percentage value and the percentage. The process involved here is the reverse of calculating the percentage value of a number. To get 10% of 100, for example, multiply 100 × 0.10 = 10. To reverse this process, divide 10 by 0.10 to get 100. 10 ÷ 0.10 = 100.

Example question: 4066 is 95% of what original amount? To calculate 4066 in the first place, a number was multiplied by 0.95 to get 4066. To reverse this process, divide to get the original number. In this case, 4066 ÷ 0.95 = 4280.

• Calculating the Original Amount from a Whole Number Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Whole Numbers ) Calculating the Original Amount (Select percents) ( Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 5%) ( Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 25%) ( Whole Numbers )
• Calculating the Original Amount from a Decimal Number Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Decimals ) Calculating the Original Amount (Select percents) ( Decimals ) Calculating the Original Amount (Percents that are multiples of 5%) ( Decimals ) Calculating the Original Amount (Percents that are multiples of 25%) ( Decimals )
• Calculating the Original Amount from a Whole Dollar Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Dollar Amounts and Whole Numbers ) Calculating the Original Amount (Select percents) ( Dollar Amounts and Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 5%) ( Dollar Amounts and Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 25%) ( Dollar Amounts and Whole Numbers )
• Calculating the Original Amount from a Decimal Dollar Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Dollar Amounts and Decimals ) Calculating the Original Amount (Select percents) ( Dollar Amounts and Decimals ) Calculating the Original Amount (Percents that are multiples of 5%) ( Dollar Amounts and Decimals ) Calculating the Original Amount (Percents that are multiples of 25%) ( Dollar Amounts and Decimals )
• Mixed Percentage Calculations with Whole Number Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Whole Numbers ) Mixed Percentage Calculations (Select percents) ( Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Whole Numbers )
• Mixed Percentage Calculations with Decimal Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Decimals ) Mixed Percentage Calculations (Select percents) ( Decimals ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Decimals ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Decimals )
• Mixed Percentage Calculations with Whole Dollar Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Dollar Amounts and Whole Numbers ) Mixed Percentage Calculations (Select percents) ( Dollar Amounts and Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Dollar Amounts and Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Dollar Amounts and Whole Numbers )
• Mixed Percentage Calculations with Decimal Dollar Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Dollar Amounts and Decimals ) Mixed Percentage Calculations (Select percents) ( Dollar Amounts and Decimals ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Dollar Amounts and Decimals ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Dollar Amounts and Decimals )

Percentage Increase/Decrease Worksheets

The worksheets in this section have students determine by what percentage something increases or decreases. Each question includes an original amount and a new amount. Students determine the change from the original to the new amount using a formula: ((new - original)/original) × 100 or another method. It should be straight-forward to determine if there is an increase or a decrease. In the case of a decrease, the percentage change (using the formula) will be negative.

• Percentage Increase/Decrease With Whole Number Percentage Values Percentage Increase/Decrease Whole Numbers with 1% Intervals Percentage Increase/Decrease Whole Numbers with 5% Intervals Percentage Increase/Decrease Whole Numbers with 25% Intervals
• Percentage Increase/Decrease With Decimal Number Percentage Values Percentage Increase/Decrease Decimals with 1% Intervals Percentage Increase/Decrease Decimals with 5% Intervals Percentage Increase/Decrease Decimals with 25% Intervals
• Percentage Increase/Decrease With Whole Dollar Percentage Values Percentage Increase/Decrease Whole Dollar Amounts with 1% Intervals Percentage Increase/Decrease Whole Dollar Amounts with 5% Intervals Percentage Increase/Decrease Whole Dollar Amounts with 25% Intervals
• Percentage Increase/Decrease With Decimal Dollar Percentage Values Percentage Increase/Decrease Decimal Dollar Amounts with 1% Intervals Percentage Increase/Decrease Decimal Dollar Amounts with 5% Intervals Percentage Increase/Decrease Decimal Dollar Amounts with 25% Intervals

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

Primary Grade Challenge Math by Edward Zaccaro

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

Visual maths worksheets, each maths worksheet is differentiated and visual.

Fraction, Percentage and Ratio Problems worksheet

Total reviews: (0), fraction, percentage and ratio problems worksheet description.

This worksheet focuses on tackling problems that involve working with fractions, percentages, and ratios. These types of questions are very common in GCSE exams, and students studying either the foundation or higher tier curriculum will frequently encounter scenarios like these.

Learners will warm up by recapping how to find fractions and percentages of amounts, and how to share amounts into given ratios in Section A, by answering 9 quick questions.

Section B then consists of six problem-solving questions where the above skills are combined. Questions 5 and 6 are slightly different and require students to find a whole when given a fractional amount, and to find one part of a ratio when given another.

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Percentage Word Problems

Welcome to our Basic Percentage Word Problems. In this area, we have a selection of basic percentage problem worksheets designed for 6th grade students who are just starting to learn about percentages to help them to solve a range of simple percentage problems.

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Percentage Learning

Percentages are another area that children can find quite difficult. There are several key areas within percentages which need to be mastered in order.

Our selection of percentage worksheets will help you to find percentages of numbers and amounts, as well as working out percentage increases and decreases and converting percentages to fractions or decimals.

Key percentage facts:

• 50% = 0.5 = ½
• 25% = 0.25 = ¼
• 75% = 0.75 = ¾
• 10% = 0.1 = 1 ⁄ 10
• 1% = 0.01 = 1 ⁄ 100

How to work out Percentages of a number

This page will help you learn to find the percentage of a given number.

There is also a percentage calculator on the page to support you work through practice questions.

• Percentage Of Calculator

This is the calculator to use if you want to find a percentage of a number.

Simple choose your number and the percentage and the calculator will do the rest.

Basic Percentage Word Problems

Here you will find a selection of worksheets on percentages designed to help your child practise how to apply their knowledge to solve a range of percentage problems..

The sheets are graded so that the easier ones are at the top.

The sheets have been split up into sections as follows:

• spot the percentage problems where the aim is to use the given facts to find the missing percentage;
• solving percentage of number problems, where the aim is to work out the percentage of a number.

Each of the sheets on this page has also been split into 3 different worksheets:

• Sheet A which is set at an easier level;
• Sheet B which is set at a medium level;
• Sheet C which is set at a more advanced level for high attainers.

Spot the Percentages Problems

• Spot the Percentage 1A
• PDF version
• Spot the Percentage 1B
• Spot the Percentage 1C
• Spot the Percentage 2A
• Spot the Percentage 2B
• Spot the Percentage 2C

Percentage of Number Word Problems

• Percentage of Number Problems 1A
• Percentage of Number Problems 1B
• Percentage of Number Problems 1C
• Percentage of Number Problems 2A
• Percentage of Number Problems 2B
• Percentage of Number Problems 2C
• Percentage of Number Problems 3A
• Percentage of Number Problems 3B
• Percentage of Number Problems 3C

More Recommended Math Worksheets

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

6th Grade Percentage Word Problems

The sheets in this area are at a harder level than those on this page.

The problems involve finding the percentage of numbers and amounts, as well as finding the amounts when the percentage is given.

• 6th Grade Percent Word Problems
• Percentage Increase and Decrease Worksheets

We have created a range of worksheets based around percentage increases and decreases.

Our worksheets include:

• finding percentage change between two numbers;
• finding a given percentage increase from an amount;
• finding a given percentage decrease from an amount.

Percentage of Money Amounts

Often when we are studying percentages, we look at them in the context of money.

The sheets on this page are all about finding percentages of different amounts of money.

• Money Percentage Worksheets

Percentage of Number Worksheets

If you would like some practice finding the percentage of a range of numbers, then try our Percentage Worksheets page.

You will find a range of worksheets starting with finding simple percentages such as 1%, 10% and 50% to finding much trickier ones.

• Percentage of Numbers Worksheets

Converting Percentages to Fractions

To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.

Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.

The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

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• Convert Percent to Fraction

Online Percentage Practice Zone

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

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• Ratio Part to Part Worksheets

These sheets are a great way to introduce ratio of one object to another using visual aids.

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Ratios, Percents, & Proportions Quiz: Equation, Tape Diagram Review Worksheets

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Looking for high-quality percent & proportion worksheets?  This 6th Grade Ratio & Percent Review Quiz includes TWO assessments with TWENTY questions- including percent tape diagrams & double number lines!  These percent equation worksheets are perfect for math intervention, test prep, or whole group review! 

And best of all it INCLUDES BOTH DIGITAL AND PRINTABLE VERSIONS!

This 6th Grade Ratios & Percents Quiz is Common Core aligned to 6th Grade Math Standard 6.RP.3C.

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✔Version A, 10 Multiple Choice Questions (Printable & Digital)

✔Version B, 10 Multiple Choice Questions (Printable & Digital)

✔Answer Key

Digital Versions Included

• Both Version A & Version B in Google Forms
• Easy Auto-Grade
• Digital Versions are 100% Editable

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6th Grade Ratio & Proportion Quiz Bundle

More RP Quizzes:

• 6.RP.1: Understanding Ratios
• 6.RP.2: Calculating Unit Rate (FREEBIE)
• 6.RP.3.A: Visual Representations of Ratios
• 6.RP.3.B: Solving Rate Problems
• 6.RP.3.C: Ratios & Percentages
• 6.RP.3.D: Ratios & Measurement

This quiz is perfect for a small group, reteach lesson, or for test prep!

The product includes two versions so that students who don't master the skill the first time get an opportunity to re-take it. Each quiz has 10 multiple choice questions.

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• Reteach Lessons
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• Progress Monitoring

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