percentages problem solving grade 6

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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.

• Converting Fractions to Percentages

• 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.

You can choose your level of difficulty and test yourself with immediate feedback!

• Online Percentage Practice
• Ratio Part to Part 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.

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Percent - grade 6 maths questions and problems with answers.

Grade 6 maths multiple choice questions on percent with answers are presented. Also detailed solutions and full explanations are included.

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Grade 6 - Ratios and Proportional Relationships

Standard 6.RP.A.3c - Practice finding the percents of numbers in a word problem.

Included Skills:

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

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Course: 6th grade   >   Unit 3

• Finding a percent

Finding percents

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

6th Grade Math Word Problems (Percentages)

Related Pages Word Problems Solved The Singapore Math Way 2-Step Word Problems And Bar Models Singapore Mental Math Strategies Singapore Math More Numbers Lessons

In this lesson, we will learn how to solve percent word problems

• using block diagrams or bar models or tape diagrams,
• using the grid method,
• using proportions.

Using Bar Models

Example: 15% of the number of people who attended a concert arrived late. If 30 people arrived late, find the number of people who attended the concert.

From the above model, we see that 15% → 30 people 1% → 30 ÷ 15 = 2 people 100% → 100 × 2 = 200 people 200 people attended the concert.

Examples of solving percent problems with bar models

Marilyn saves 30% of the money she earns each month. She earns $350 each month. How much does she save?

At the Natural History Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors altogether are at the museum?

Bill bought cards to celebrate Pi day. He sends 60% of his cards to friends. He sent 42 cards to friends. How many cards did he buy altogether?

Bruce cookies 80% of the pancakes at the pancake breakfast last weekend. They made 1120 pancakes. How many pancakes did Bruce cook?

The following video shows examples of finding total price with sales tax and an example of finding cost after discount using bar models.

Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the television set?

Alice saved for a new bike. The bike was on sale for a discount of 35%. The original cost of the bike was $270. How much did she pay for the bike?

Using Grid Method

Setting up the Percent Problem Describes how to set up a percent problem using the grid method. Uses examples with the total given and looking for the parts.

Example: There are 250 chairs in a room a) If 150 chairs are full, what % are full? b) What % are empty?

Multiple Step Percent Problems Part 1 Examples of how to solve percent word problems with the grid method.

Example 1: A stereo listed for $350 is on sale for 20% off the list price. The sales tax is 6%. What price does a customer pay for the stereo if she buys it on sale?

Example 2: Stacey just received her annual cost-of-living raise. She previously earned $1450 a month. Her new salary is $1508. What is the rate of increase?

Example 3: At a playoff game, paid attendance was 39,900. The total attendance was 42,000. What percent of those attending had free tickets?

Solving Percentage Word Problems Using Proportions

Practice solving percentage word problems by setting up a proportion and solving.

Example: A poll was conducted by a local newspaper asking if the governor was doing a good job. 6,000 people were polled. If 2,400 said they approved of the job the governor was doing, what percent of the people polled disapproved?

Percent Word Problems: Percentage Problems Shows how to solve “percent of” word problems using proportions.

• What is 15% of 40?
• 12 is 20% of what number?
• 22 is what percent of 5?
• 4 is what percent of the quotient of 15 and 3?

Percent Word Problems: Sales and Discount Solving percent word problems that involve finding a sale price given original price and discount, finding an original price given sale price and discount, and finding sale price given profit.

Example 1: A laptop that normally costs $600 is offered at a discount of 35%. What is the new sale price?

Example 2: A pair of shoes is marked down 20% during a sale and costs $60. What was the original price?

Percent Word Problems: Profit Solving percent word problems that involve finding the percentage profit.

Example 1: The total cost of producing a tablet is $150. If the manufacturer wants to make a 20% profit, at what price must they sell the tablet?

Example 2: Kevin bought a concert ticket for $50 and sold it for $54. What was the percentage profit?

Percent Word Problems: Percent Increase and Decrease Solving percent word problems that involve percent increase and decrease.

Example 1: 15 fans attended a band’s first concert. 18 fans attended their second concert. What was the percent increase in the number of fans from the first concert to second?

Example 2: Last year, a football team won 15 games. This year, the team won 20% fewer games. How many games did the team win this year?

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• Percentage of whole numbers

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Percentages of whole numbers

Practice calculating percentages.

Below are six versions of our grade 6 math worksheet on calculating the percentage of whole numbers. These worksheets are pdf files .

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Solving Percent Problems

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• Grade 6 Mathematics Module 1, Topic D, Lesson 27: Student Version
• Grade 6 Mathematics Module 1, Topic D, Lesson 27: Teacher Version

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6th Grade Percent Worksheets

6th grade percent worksheets can be used to instill a good understanding of how to apply the concept of percentages in real life. The questions in these worksheets are based on solving simple arithmetic expressions to dealing with complex word problems.

Benefits of 6th Grade Percentage Word Problems Worksheet

The concept of percent is widely used in daily life, especially while dealing with bills. By attempting the problems given in the 6th grade percent worksheets, kids can increase their speed and accuracy in solving these sums. These 6th grade math worksheets are provided with several visual simulations that can help students understand the concepts in a better manner. As these worksheets are flexible, they enable students to combine fun with learning.

Printable PDFs for Grade 6 Percent Worksheets

The percent 6th grade worksheets are provided with answer keys that help kids to clear their doubts immediately in case they get stuck while solving a particular problem.

• Math 6th Grade Percent Worksheet
• 6th Grade Percent Math Worksheet
• Sixth Grade Percent Worksheet
• Grade 6 Math Percent Worksheet

Explore more topics at Cuemath's Math Worksheets .

Solving for percentage: Free Worksheet for Grade 6

• Author: Noreen Niazi
• Last Updated at: October 4, 2023

Solving for Percentage

Do you know how to solve the math problems that involved the percentage? If you are looking for the free worksheet for Solving for percentage, then here’s you get them free.

Let’s go through the worksheet and solved the percentage problems . You can also go through some other blogpost that involved the percentage problems. 

Either you are teachers, students or math enthusiast, these worksheets help you in solving math problems.  

Percentages are a key topic that is frequently presented at the Grade 6 level in mathematics, which plays a crucial part in developing young brains. Since percentages are employed in many facets of daily life, from finance to shopping, understanding them is not simply a mathematical talent but also a useful one. The “Solving for Percentage: Grade 6 Worksheet” is a helpful tool created to aid students in understanding this crucial idea clearly.

Conceptual Clarity: The goal of this worksheet is to establish a clear understanding of what percentages are. It discusses how percentages relate to decimals and fractions and how they can be used to represent a portion or fraction of a whole.

Problem-Solving Techniques: It provides a variety of issues that progressively get more challenging. Students’ problem-solving abilities are gradually developed through this step-by-step procedure, enabling them to confidently take on any percentage-related challenge. Real-World Application: To make studying more interesting and useful, the worksheet includes real-life examples like figuring out discounts, sales tax, and tip percentages. Visual Aids: Students can conceptualize percentages in a graphical style with the aid of visual aids like pie charts and bar graphs, which help make abstract ideas more concrete. Students can examine their work individually and learn from their errors with the help of the provided answer key.

Finally, the “ Solving for Percentage: Grade 6 Worksheet ” is an essential resource for educators, parents, and students. It not only provides pupils with fundamental arithmetic abilities but also illustrates how percentages are used in everyday life. Students are better prepared for the arithmetic problems that lie ahead in their academic careers and in daily life by learning percentages at this level.

You will also like these worksheets on learn about math.

• Multiplication Puzzle Worksheets: Boost Math Skills Of Kids – LearnAboutMath
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• Multiplication And Division Math Worksheets: A Great Way To Practice Your Skills – LearnAboutMath
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• https://learnaboutmath.com/power-of-2-math-puzzle-for-kids/

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Grade 6 Mathematics Module: Solving Problems Involving Percent

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.

This module was designed and written with you in mind. It is here to help you master the lessons on solving percent problems such as percent of increase or decrease (discounts, original price, rate of discount, sale price, marked-up price), commission, sales tax, and simple interest. The scope of this module permits it to be used in many different learning situations. The language used recognizes your diverse vocabulary level as student. The lessons are arranged to follow the standard sequence of the course. But the order in which you read them can be changed to correspond with the textbook you are now using.

The module is divided into three lessons, namely:

• Lesson 1 – Solving Percent Problems Involving Percent of Increase or Decrease
• Lesson 2 – Solving Percent Problems Involving Markups and Discounts
• Lesson 3 – Solving Percent Problems Involving Commission, Sales Tax, and Simple Interest

After going through this module, you are expected to solve problems involving percent which can be used in real-life situations, specifically to:

1. identify and analyze the elements of problems or situations involving percent and understand the process in solving each component;

2. visualize problems about percent using illustration to show better understanding in the given situation; and,

3. solve different problems involving percent such as change of percent, markup, discount, commission, sales tax, and simple interest.

Grade 6 Mathematics Quarter 2 Self-Learning Module: Solving Problems Involving Percent

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