problem solving with solution and answer for grade 6

• 6th Grade Math
• Solving word problems

Grade 6 Math Word Problems: Tips, Tricks, and Answers

Do you want to stimulate your 6 th grader’s creative thinking skills? Then, enjoy this brilliant math article. In this comprehensive guide, we will provide you with a treasure trove of fun solving strategies, tips, tricks, and answers to tackle those tricky grade 6 math word problems that have been confusing your students for some time now.

In this page, you will discover why math word problems are important for 6th-graders and simple methods of breaking down complex word problems into manageable steps.

Nevertheless, we will introduce you to Mathskills4kids.com , an outstanding website with thousands of common types of grade 6 math word problems and a step-by-step approach to solving them. Interestingly, we will illustrate how to use diagrams and models to solve math word problems efficiently.

Learn to love Grade 6 Math word problems with these worksheets and answers

Hello and welcome to Grade 6 Math word problems worksheets and answers , where your 6 th Grade students will learn to love and solve math problems and activities at all times.

We understand that word problems can often frustrate students, as they require a solid understanding of mathematical concepts and the ability to interpret and apply them to real-life situations. That's why we have compiled a collection of proven strategies and techniques to empower your students to approach word problems confidently and accurately.

From understanding problem-solving strategies to breaking down complex questions into manageable steps, this guide will equip you with the knowledge and resources to make math word problems a breeze. So, let's dive in and unlock the secrets to conquering grade 6 math word problems together!

BROWSE THE WEBSITE

Download free worksheets, grade 6 math topics.

• Whole numbers

Multiplication

• Exponents and square roots
• Number theory
• Add & subtract decimals
• Multiply & divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Operations with integers
• Mixed operations
• Rational numbers
• Problems solving
• Ratio & proportions
• Percentages
• Measuring units
• Consumer math
• Telling time
• Coordinate graph
• Algebraic expressions
• One step equations
• Solve & graph inequalities
• Two-step equations
• 2D Geometry
• Symmetry & transformation
• Geometry measurement
• Data and Graphs
• Probability

Start practice on Sixth Grade here

Why are math word problems important for 6th-graders.

Math word problems are about more than just doing calculations. They are also about applying your math knowledge to real-world situations. Math word problems are important for 6 th graders because they help them to:

• Learn how to use different math concepts and skills in various contexts
• Develop their logical thinking and reasoning abilities
• Enhance their communication and literacy skills
• Prepare them for standardized tests and future math courses

Math word problems also make math more exciting and relevant. They show us how math can solve everyday problems and challenges. They also expose us to different topics and scenarios we may not encounter in our regular math lessons.

Strategies for solving Grade 6 math word problems

Solving Grade 6 math word problems can be intimidating, especially involving multiple steps or operations. But don't worry. Some general strategies will help your students confidently approach any word problem. Here are some of them:

• Please encourage them to read the problem carefully and identify the given information, the unknowns, and the question.
• They should rewrite the problem in their own words or summarize it in a sentence.
• Let them choose a suitable method or strategy to solve the problem. Some standard methods are guessing and checking, making a table or chart, drawing a picture or diagram, using a formula or equation, working backward, or using logical reasoning.
• They must show their work and explain each step clearly. Use appropriate units, labels, symbols, and terms.
• Lastly, tell them to check their answer by plugging it back into the problem or using a different method. Ensure their answer makes sense and answers the question.

Breaking down complex word problems into manageable steps

Some word problems may seem too complex or confusing at first glance. They may have too much information, too many steps, or too many operations. In such cases, breaking down the problem into smaller and simpler parts is helpful. Here are some tips on how to do that:

Words like "difference," "subtract," "take away," or "minus" indicate s ubtraction .

Words like "product," "multiply," "times," or "of" indicate multiplication .

Words like "quotient," "divide," "per," or "out of" indicate division .

Words like "ratio," "fraction," "percent," or "part" indicate fractions or decimals .

Words like "equal," "same as," or "is" indicate equations .

Words like "more than,” “less than," "greater than," or "smaller than" indicate inequalities .

Words like "average," "mean," or "median" indicate statistics .

Words like "area," "perimeter," "volume," or "surface area" indicate geometry , etc.

• Use parentheses, brackets, or other symbols to group the parts of the problem that belong together . For example, if the problem says:

You can rewrite it as:

• (John has 12 apples) + (Mary has 8 apples) = (total number of apples) / (4 people) = (number of apples per person)

This way, you can see the structure of the problem more clearly and focus on one part at a time.

• Solve each part of the problem separately and write down the intermediate results . For example, using the previous problem:
• (John has 12 apples) + (Mary has 8 apples) = (total number of apples)
• 12 + 8 = 20
• (total number of apples) / (4 people) = (number of apples per person)

This way, you can keep track of your work and avoid making mistakes.

• Combine the intermediate results to get the final answer. For example, using the previous problem :

This way, you can answer the question and check your answer.

Common types of grade 6 math word problems

There are many types of word problems that you may encounter in grade 6 math . Some of the most common ones found on Mathskills4kids.com are:

• Ratio and proportion problems : These problems involve finding the relationship between two quantities with the same unit or measure. For example, if 12 pencils cost $3, how much do 20 pencils cost?
• Percent problems : These problems involve finding the part, whole, or percent of a quantity. For example, if 30% of a class is boys, and there are 24 students, how many boys are there?
• Fraction problems : These problems involve adding, subtracting, multiplying, or dividing fractions. For example, how much pizza do you have left if you have 2/3 of a pizza and eat 1/4?
• Decimal problems : These problems involve adding, subtracting, multiplying, or dividing decimals. For example, if you buy a shirt for $12.50 and a pair of jeans for $24.75, how much change do you get from $50?
• Measurement problems : These problems involve converting between different units of measurement or finding the perimeter, area, or volume of shapes. For example, if a rectangle has a length of 15 cm and a width of 10 cm, what is its area in square meters?
• Algebra problems : These problems involve finding the value of an unknown variable or expression. For example, if x + 5 = 13, what is the value of x?

A step-by-step approach to solving different types of word problems

No matter what type of word problem your 6 th graders are faced with, they can use the following steps to solve it:

• They should read the problem carefully and identify the given information and the question.
• They must choose a variable to represent the unknown quantity and write an equation or expression that relates the given information and the question.
• They can now solve the equation or expression and find the variable's value.
• They can check their answer by plugging it back into the equation or expression to see if it makes sense.
• They can now write their answer in complete sentences and include the appropriate units.

Using diagrams and models to solve math word problems

Sometimes, it can be helpful to use diagrams and models to visualize the problem and make it easier to solve. Some examples of diagrams and models for solving math word problems are:

• Tape diagrams : These are horizontal or vertical bars showing the relationship between two quantities. For example, you can use a tape diagram to show how much money each person gets when $60 is shared equally among 4 people.
• Number lines : These horizontal lines show numbers and their relative positions. For example, you can use a number line to show how to add or subtract fractions with different denominators.
• Tables : These are grids that show data in rows and columns. For example, you can use a table to show how to find equivalent ratios or fractions.
• Charts : These are graphical representations of data using bars, circles, lines, or other shapes. For example, you can use a chart to show how to find the percent of a quantity or compare different quantities.
• Drawings : These are sketches or illustrations that show shapes or objects. For example, you can use a drawing to show how to find a shape's perimeter, area, or volume.

Providing answers and explanations to sample Mathskills4kids’ Grade 6 math word problems

Here are some sample Grade 6 math word problems with answers and explanations available at Mathskills4kids.com :

Answer : 6 cups of flour

Explanation : This is a ratio problem. We can use a tape diagram to show the relationship between flour and sugar.

Flour →|<---2 cups--->|<---2 cups--->|<---2 cups---> = 6

Sugar→|<---3 cups--->|<---3 cups--->|<---3 cups---> = 9

We can see that for every 3 cups of sugar, we need 2 cups of flour. So, for 9 cups of sugar, we need 6 cups of flour.

Answer : $15

Explanation : This is a percent problem. We can use a formula to find the sale price of the shirt.

Sale price = Original price - Discount

Discount = Percent off x Original price

We know the percent off is 40%, and the original price is $25. So, we can plug these values into the formula and solve for the sale price.

Discount = 40% x $25

Discount = 0.4 x $25

Discount = $10

Sale price = $25 - $10

Sale price = $15

Tips for improving problem-solving skills in Grade 6 math

Here are some tips that can help students improve their problem-solving skills in grade 6 math :

• Please encourage them to practice regularly and try different types of word problems.
• They should review the concepts and skills they have learned and apply them to new situations.
• They can use different strategies and methods to solve word problems and compare their results.
• Let them ask for help from the teacher, parents, or peers if they get stuck or confused.
• They should learn from their mistakes and try to avoid them in the future.

Bonus: additional resources to reinforce Grade 6 math problem skills

If you want to enhance your student's Grade 6 math word problem skills , or if you need some extra help, here are some additional and useful web links that you can check out:

• Math Playground : This website has a lot of fun and interactive games that let 6 th graders practice different types of math word problems, such as fractions, decimals, ratios, proportions, and more. They can also watch videos explaining how to solve some problems. https://www.mathplayground.com/wordproblems.html .
• Khan Academy : This website has many videos and exercises covering various topics in Grade 6 math, including word problems. Students can learn at their own pace and track their progress. https://www.khanacademy.org/math/cc-sixth-grade-math .
• IXL : This website has many practice questions aligned with the Common Core standards for Grade 6 math. Students can choose from different categories of word problems, such as expressions and equations, geometry, statistics, and more. They can also get instant feedback and explanations for their answers. https://www.ixl.com/math/grade-6 .
• Math Goodies : This website has a lot of worksheets and lessons that teach 6 th graders how to solve different types of word problems, such as percent, ratio, proportion, and more. They can also find tips and tricks for solving word problems faster and easier. https://www.mathgoodies.com/math-mammoth/worksheets/pdf/grade_6_word_problems.pdf .

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

Math word problems can be challenging for many 6th-graders, but they are also important for developing their mathematical thinking and reasoning skills.

Using the strategies and steps we discussed in this article, your student's ability to solve different types of word problems in Grade 6 math can be improved.

You can also use the diagrams and models we have shown you to help your students visualize the problem and find the solution. Encourage them to practice as much as possible, and they must not be afraid to ask for help if needed.

You can also use the web links that we have provided to reinforce your student’s learning and have fun with math. We hope this article has helped your 6th-grade students feel more confident and prepared for tackling Grade 6 math word problems.

Happy problem-solving!

WHAT’S THIS ALL ABOUT?

This is mathskills4kids.com a premium math quality website with original Math activities and other contents for math practice. We provide 100% free Math ressources for kids from Preschool to Grade 6 to improve children skills.

Subtraction

Measurement

Telling Time

Problem Solving

Data & Graphs

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

SUBSCRIBE TO OUR NEWSLETTER

Privacy policy.

Our team Don't Pass on to third parties any identifiable information about mathskills4kids.com users. Your email address and other information will NEVER be given or sold to a third party.

USE OF CONTENTS

Many contents are released for free but you're not allowed to share content directly (we advise sharing website links), don't use these contents on another website or for a commercial issue. You're supposed to protect downloaded content and take it for personal or classroom use. Special rule : Teachers can use our content to teach in class.

• G6 Worksheets

" class="arrow-title-img"> 6th grade math word problems worksheets - Multi step word problems 6th grade worksheets worksheets

• INTRODUCTION
• Download worksheets
• Worksheets by topic

What is the simplest way to build kid’s math word problems solving skills?

Get more contents on sixth grade..., problem solving worksheets for grade 6 with solution and answer.

6th grade math word problems worksheets is a remarkable resource aimed to test your kid's mastery of various grade 6 math concepts. As a matter of fact, one of our greatest endeavors here has been to offer 6 th graders fluent and critical thinking skills as they engage in solving our multi step word problems 6th grade worksheets . Such problems require grade 6 kids to solve problems step by step as well as use more than one math operation before arriving at a correct answer.

We must also bear in mind that we had always used and will continue to use math at all times in our daily lives. That is why we have put together these special problem solving worksheets for grade 6 with solution and answer , in order to direct kids on how to solve and become proficient math problem solvers.

Some of the grade 6 word problems worksheets designed for your kids here include: Addition and subtraction; Division; Fraction and mixed numbers; Fractions; Mixed operations; Multiplication; GCF and LCM; Estimation word problems worksheets grade 6.

add and subtract fractions with like denominators

Add and subtract word problems worksheet

Add and subtract decimals word problems

Multiply whole numbers exercises

Multiply wholes numbers with four or more digits number worksheet

Multiply numbers ending in zero worksheet

Multiply numbers ending in zeroes word problems

Multiply three or more numbers

Multiply three numbers word problems

Estimate products

Division patterns with zeroes

Convert between standard and scientic notation

Compare numbers written in scientific notation

Identify factors and multiples

Prime factorization

Prime factorization with exponents

Greatest common factor

Leat common multiple

GCF and LCM word problems

Sort factors of numerical expression

Classify numbers

Fraction on number lines

Fraction of a whole word problems

Fraction of a group word problems

Equivalent fractions review

Write fractions in lowest terms

Least commen denominator

Compae fractions with like and unlike denominator

Compare fractions word problems

Convert between improper fractions and mixed numbers

• Add and subtract fractions with same denominator Grade 6
• Add and subtract fractions with unlike denominators Grade 6
• Add and subtract mixed numbers Grade 6
• Add and subtract whole numbers word problems
• Add subtract multiply or divide two fractions

Download 6th-grade worksheets by topic

Encourage your 6 th graders to find out from this great resource what is the simplest way to build kid’s math word problems solving skills?

As earlier said, these worksheets have been wonderfully designed with amazing real life math stories thrilling enough to capture kid’s attention always. Each worksheet consists of at most 4 word problems, short and simple enough for kids to solve in one sitting.

Also, given that our worksheets are grouped according to topics, kids will likely focus on a particular math skill one at a time. Such an approach to solving math word problems will embed in kids an everlasting math skill.

WHAT’S THIS ALL ABOUT?

This is math-wordproblems.com a premium math quality website with original Math activities and other contents for math practice. We provide 100% free Math ressources for kids from Grade 2 to Grade 6 to improve children skills.

PRIVACY POLICY

Our team Don't Pass on to third parties any identifiable information about mathskills4kids.com users. Your email address and other information will NEVER be given or sold to a third party.

• Add And Subtract Fractions
• Addition And Subtraction Online Practice And Worksheets
• Comparing And Ordering
• Divide Fractions
• Estimating Comparing Ordering Rounding
• Fractions And Mixed Numbers
• Fractions Worksheets And Online Exercises With Answers
• Mixed Operations
• Multiplication
• Numbers Theory
• Solving And Estimation
• Subtraction
• Whole Numbers
• Second Grade
• Third Grade
• Fourth Grade
• Fifth Grade
• Sixth Grade

SUBSCRIBE TO OUR NEWSLETTER

Use of contents.

Many contents are released for free but you're not allow to share contents directly (we advice to share website links), don't use these contents in another website or for commercial issue. You're suppose to protect downloaded contents and take it for personal or classroom use. Special rule : Teachers can use our contents to teach in class.

Report a review

For more description, you can contact us here

Free Printable Math Word Problems Worksheets for 6th Grade

Math Word Problems: Discover a vast collection of free printable worksheets for Grade 6 students, created by educators to enhance their mathematical skills and problem-solving abilities. Dive into the world of numbers with Quizizz!

Recommended Topics for you

• Addition Word Problems
• Subtraction Word Problems
• Multiplication Word Problems
• Division Word Problems
• Mixed Operation Word Problems
• Multi-Step Word Problems
• Fraction Word Problems
• Geometry Word Problems
• Measurement Word Problems
• Time Word Problems
• Money Word Problems
• Data Word Problems
• Performance Tasks

Explore Math Word Problems Worksheets by Grades

• kindergarten

Explore Math Word Problems Worksheets for grade 6 by Topic

Explore other subject worksheets for grade 6.

• Social studies
• Social emotional
• Foreign language
• Reading & Writing

Explore printable Math Word Problems worksheets for 6th Grade

Math Word Problems worksheets for Grade 6 are an essential resource for teachers who want to help their students develop strong problem-solving skills and a deep understanding of mathematical concepts. These worksheets provide a variety of engaging and challenging problems that require students to apply their knowledge of math in real-world situations. With a wide range of topics covered, including fractions, decimals, percentages, and geometry, Grade 6 Math Word Problems worksheets are designed to align with the Common Core State Standards and support teachers in their efforts to create a well-rounded math curriculum. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are receiving the practice and reinforcement they need to excel in math.

Quizizz is an excellent platform for teachers to access a vast library of Math Word Problems worksheets for Grade 6, along with other valuable resources to enhance their students' learning experience. This interactive platform offers a variety of features, such as customizable quizzes, real-time feedback, and gamification elements, to keep students engaged and motivated. In addition to Grade 6 Math worksheets, Quizizz also provides resources for other subjects and grade levels, making it a one-stop-shop for teachers looking to diversify their instructional materials. By utilizing Quizizz in conjunction with Math Word Problems worksheets for Grade 6, teachers can create a dynamic and effective learning environment that fosters a love for math and sets their students up for success.

Algebra Questions and Problems for Grade 6

Grade 6 algebra questions and problems with detailed solutions are presented. Questions on expanding and simplifying expressions, solving linear equations, factoring expressions,....are included.

Questions and Problems

• List all like terms included in each of the expressions given below. A) 6 x + 5 + 12 x - 6 B) 2 x 2 - 4 + 9 x 2 + 9 C) x / 5 + x / 7 + 7 D) 0.2 x + 1.2 x + x / 2 + 5 E) 5 x - 8 + 7 x - 2 x 2 - 4 + 9 x 2 + 4 x 3 F) 5 a + 8 - 7 a b G) 5 a b+ 8 + 6 b a - a + 3 b Solution
• Evaluate each of the expressions for the given value(s) of the variable(s). A) 6 x + 5   for   x = 2 B) 12 x 2 + 5 x - 2   for   x = 1 C) 2( x + 7) + x   for   x = 0 D) 2 a + 3b - 7   for   a = 2 and b = 4 Solution
• Expand (if needed) and simplify each of the expressions below. A) 3 x + 5 x B) 2( x + 7) + x C) 2(x + 3) + 3(x + 5) + 3 D) 2 (a + 1) + 5b + 3(a + b) + 3 Solution
• Factor each of the expressions below. A) 3 x + 3 B) 8 x + 4 C) a x + 3 a D) (x +1) y + 4 (x + 1) E) x + 2 + b x + 2 b Solution
• Solve each of the equations below and check your answer. A) x + 5 = 8 B) 2 x = 4 C) x / 3 = 2 D) 0.2 x = 1 D) 3 x + 6 = 12 E) 3 (x + 2) + 2 = 8 Solution
• There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Solution
• Rewrite the expressions a × a × a - b × b using exponents. Solution
• The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle. Solution
• Two thirds of students in a class study math and the remaining eight students do not study math. What is the total number of students in this class? Solution
• A car travels 60 kilometers in one hour. At the same rate, what distance will be covered by this car in x hour? Solution
• Evaluate the expressions. A) 2 3 + 3 2 B) 0.1 3 C) 6 × (2 / 3) Solution
• A bag contains three red marbles; five blue marbles and seven green marbles. What is the ratio of blue marbles to the total number of marbles? Solution
• Solve the proportion : a / 3 = 5 / 18 Solution
• Which of the following ordered pairs is a solution to the equation 2 x + 3 y = 8? A) (0 , 0) B) (4 , 0) C) (1 , 2) Solution
• List all factors of the following numbers. A) 4 B) 12 C) 50 Solution
• Find the greatest common factor to each pair of the given numbers. A) 6 and 3 B) 18 and 24 C) 50 and 60 Solution
• Write the number " Six hundred seventy-two million two hundred fifty-nine" using the digits 0, 1, 2, ...9. Solution
• Which of the following expressions are equivalent? A) 2(x + 3) - 2 B) 2x + 4 C) 3(x + 3) - x - 5 Solution
• Find the lowest common multiple to each pair of the given numbers. A) 2 and 3 B) 7 and 14 C) 25 and 15 Solution
• Add and / or subtract and simplify A) 1 / 3 + 2 / 3 B) 2/5 - 1 / 7 Solution
• What is 2 / 3 of 21? Solution
• What is 40% of 1 / 4? Solution
• What is 20% of 50%? Solution
• How many seconds are there in one hour? Solution
• How many minutes are there in the month of January? Solution
• What is the location of each of the points: (-2 , 0) , (0 , 3) and (-2 , - 3) in a coordinate plane? Solution
• Order   7 / 5 , 12 / 10 , 21 / 20 and 111%   from the smallest to the largest. Solution

More References and links

Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers

• Number Charts
• Multiplication
• Long division
• Basic operations
• Telling time
• Place value
• Roman numerals
• Fractions & related
• Add, subtract, multiply,   and divide fractions
• Mixed numbers vs. fractions
• Equivalent fractions
• Prime factorization & factors
• Fraction Calculator
• Decimals & Percent
• Add, subtract, multiply,   and divide decimals
• Fractions to decimals
• Percents to decimals
• Percentage of a number
• Percent word problems
• Classify triangles
• Classify quadrilaterals
• Circle worksheets
• Area & perimeter of rectangles
• Area of triangles & polygons
• Coordinate grid, including   moves & reflections
• Volume & surface area
• Pre-algebra
• Square Roots
• Order of operations
• Scientific notation
• Proportions
• Ratio word problems
• Write expressions
• Evaluate expressions
• Simplify expressions
• Linear equations
• Linear inequalities
• Graphing & slope
• Equation calculator
• Equation editor
• Elementary Math Games
• Addition and subtraction
• Math facts practice
• The four operations
• Factoring and number theory
• Geometry topics
• Middle/High School
• Statistics & Graphs
• Probability
• Trigonometry
• Logic and proof
• For all levels
• Favorite math puzzles
• Favorite challenging puzzles
• Math in real world
• Problem solving & projects
• For gifted children
• Math history
• Math games and fun websites
• Interactive math tutorials
• Math help & online tutoring
• Assessment, review & test prep
• Online math curricula

Reading & Math for K-5

• Kindergarten
• Learning numbers
• Comparing numbers
• Place Value
• Roman numerals
• Subtraction
• Multiplication
• Order of operations
• Drills & practice
• Measurement
• Factoring & prime factors
• Proportions
• Shape & geometry
• Data & graphing
• Word problems
• Children's stories
• Leveled Stories
• Context clues
• Cause & effect
• Compare & contrast
• Fact vs. fiction
• Fact vs. opinion
• Main idea & details
• Story elements
• Conclusions & inferences
• Sounds & phonics
• Words & vocabulary
• Reading comprehension
• Early writing
• Numbers & counting
• Simple math
• Social skills
• Other activities
• Dolch sight words
• Fry sight words
• Multiple meaning words
• Prefixes & suffixes
• Vocabulary cards
• Other parts of speech
• Punctuation
• Capitalization
• Narrative writing
• Opinion writing
• Informative writing
• Cursive alphabet
• Cursive letters
• Cursive letter joins
• Cursive words
• Cursive sentences
• Cursive passages
• Grammar & Writing

Breadcrumbs

Proportions word problems

Download & Print Only $7.90

Math worksheets: Proportions word problems

Below are grade 6 math worksheets with proportions word problems.

These worksheets are available to members only.

Join K5 to save time, skip ads and access more content. Learn More

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

• Forgot Password?

Grade 6 Algebra Word Problems

These lessons look at solving Grade 6 algebra word problems by writing equations and expressions that matches the situation? The following are some examples and solutions for algebra word problems that you will commonly encounter in Grade 6.

Related Pages More Math Word Problems Algebra Word Problems Algebra Word Problems

Grade 6 Algebra Word Problems How to write one-step equations for grade 6 algebra word problems?

Example 1: Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total, they can buy p boxes of pizza. Each box of pizza costs $8.50. Write an equation that matches the situation.

Example 2: Mr. Herman’s class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c boxes of candy. Foe every box they sell, they make $2.75. Write an equation that the students could solve to figure out how many boxes of candy they need to sell.

Grade 6 Algebra Word Problems How to write algebraic expressions from word problems?

Example 1: The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill If the dentist finds v cavities, what will the cost of the visit be? Write your answer as an expression.

Example 2: Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did Sunny earn this week? Write your answer as an expression.

Example 3: There are c players on the Cougars hockey team. The team scored a total of 36 goals this season. One of the players, Matthew, scored 2 more goals than the average per player. How many goals did Matthew score? Write your answer as an expression.

Example 4: Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same amount of books and reach a total donation of 300 books. How many books will Hannah have in her collection after her donation. Write your answer as an expression.

Grade 6 Algebra Word Problems - Rate, Distance, Time

Example 1: Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. How long was the race? Write your answer as an expression.

Example 2: The Running Aces card team won $548 playing in poker tournaments last year. The winnings were split among the p players. How much money did each player receive? Write your answer as an expression.

Example 3: Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter. What were Phil’s net winnings from the tournament? Write your answer as an expression.

Example 4: Hillary made 48 chocolate chip cookies and y sugar cookies How many total cookies did Hillary make? Write your answer as an expression.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

6th Grade Percent Word Problems

Welcome to our 6th Grade Percent Word Problems page. In this area, we have a selection of percentage problem worksheets for 6th graders designed to help children learn to solve a range of percentage problems.

For full functionality of this site it is necessary to enable JavaScript.

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

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:

• general percentage problems;
• solving percentage problems with bar graphs.

Each of the general problem solving sheets has also been split into 2 different worksheets:

• Sheet A which is set at an easier level;
• Sheet B which is set at a harder level;

Some of our worksheets have UK versions, which use £ instead of $.

6th Grade Percentages Problems Worksheets - General Problems

There are 6 problems on each sheet. Sheet A is an easier version and Sheet B is a harder version.

Answer sheets include example working out to solve the problems.

• 6th Grade Percent Word Problems Sheet 6.1A
• PDF version
• 6th Grade Percent Word Problems Sheet 6.1B
• 6th Grade Percent Word Problems Sheet 6.2A
• UK version Worksheet
• UK version Answers
• UK Version PDF
• 6th Grade Percent Word Problems Sheet 6.2B
• UK Version Worksheet
• UK Version Answers
• 6th Grade Percent Word Problems Sheet 6.3A
• 6th Grade Percent Word Problems Sheet 6.3B

6th Grade Bar Graph Percentage Word Problems

These sheets involve using bar graph data to solve different percentage problems.

There is only one version of each sheet, and both sheets are at a similar level of difficulty.

• 6th Grade Bar Graph Percentage Word Problems 6.1
• 6th Grade Bar Graph Percentage Word Problems 6.2

Bar Graph Percentage Word Problems Walkthrough Video

This short video walkthrough shows the problems from our 6th Grade Bar Graph Percentage Word Problems Worksheet 6.2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

More Recommended Math Worksheets

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

• Basic Percentage Word Problems

These word problems are at a slightly easier level than those on this page.

All the problems involve finding the percentage of a range of numbers and amounts.

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
• 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.

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.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return to 6th Grade Math Worksheets

Return from 6th Grade Percent Word Problems page to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

• Join for FREE
• Printable Worksheets
• Online Lessons
• Test Maker™
• Printable Games
• Worksheet Generator
• Plans & Pricing

Printable & online resources for educators

• Test Maker TM
• Browse All Questions
• Questions With Images
• Advanced Search

Share/Like This Page

Filter by grade.

You are browsing Grade 6 questions. View questions in All Grades .

Kindergarten Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12

Browse Questions

• All Subjects w/ Images (7032)
• By ELA/Literacy Standard
• By Math Standard
• All Subjects (21117)

Reading Strategies

Author's purpose, cause and effect, character study, compare and contrast, fact and opinion, figurative language, identifying genre, making inferences and drawing conclusions, making predictions, point of view, problem and solution, reading skills, rhetoric and propaganda, sequence of events, story elements, summarizing, supporting details, text elements, text structure, tone and mood, types of conflict.

• English as a Second Language ESL (4832)
• Health and Medicine (241)
• Life Skills (33)
• Math (3437)
• Physical Education (218)
• Science (5696)
• Social Studies (4243)
• Study Skills and Strategies (88)
• Technology (48)

Sixth Grade (Grade 6) Problem and Solution Questions

You can create printable tests and worksheets from these Grade 6 Problem and Solution questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

• The kids are trying to see whether or not Bigfoot is by the dam.
• The kids can't decide if they want to pull a prank on Mr. McAfree.
• The kids have to sneak back home without their father noticing.
• The kids have to decide whether or not they will obey their dad.
• cheat on the next test
• read the science book and notes
• have someone read the book to him
• get extra sleep
• man vs. nature
• man vs. man
• man vs. society
• man vs. self
• The character feels guilty about his behavior.
• The character fights with a friend.
• The character must survive being lost in the woods.
• The character gets in trouble at school.

This question is a part of a group with common instructions. View group »

• Logic is not the only factor at play in some decisions.
• Logic is the best way to determine what will happen someday.
• Logic is only useful for scientists and other intelligent people.
• Logic does not help a station get ratings.
• a giant marshmallow
• a light in the window
• the eye of a ghost
• the letter o
• He is in love with the moon.
• He doesn't like to be watched.
• The sun made fun of the wind.
• The moon gets all the attention.
• The wind made the moon grow bigger.
• The moon was not involved in the argument.
• The sun caused the wind to blow in the sky.
• The wind was not strong enough to blow anything.
• He blew at the moon.
• He asked for help from the sun.
• He swirled about in a giant circle.
• He made a loud whistling sound.
• Privacy Policy
• Terms of Use
• FREE Printable Worksheets
• Common Core ELA Worksheets
• Common Core Math Worksheets

Math Word Problems With Answers For Grade 6

How good are you at solving math word problems? Check out these quiz questions with answers created for grade 6th students and evaluate your understanding of Math. Here, you'll be asked questions related to subtraction, addition, LCM, HCF, and factors. If you think this quiz is something you can give your precious time to, then go for it. Students up to class 8th can also play this quiz and make their Math basics stronger.

A stationary store had 5,300 greeting cards. If they sold 3,710 cards, how many cards are left?

2,410 cards

1,690 cards

1,590 cards

1,591 cards

Rate this question:

What is the greatest common factor of 48 and 72?

Which of these is not a factor pair of 225.

( 15 , 15 )

( 1 , 225 )

What do you call the answer in addition?

Difference 

What do you call the answer in subtraction?

Which of these is not a keyword in solving addition word problems, which of these is a keyword in solving subtraction word problems.

 how many more

Which of these numbers is a factor of 78?

Which of these numbers is not a factor of 99, which of these numbers is a common multiple of 12 and 30, which of these numbers is a common multiple of 8 and 12, what is the greatest common factor of 36 and 45, mrs. smith had 12 donuts. she bought 25 more. how many does she have now, what is the least common multiple of 3 and 9, what is the least common multiple of 8 and 10, jake makes $10 dollars an hour and judy makes $15 dollars an hour. what is the smallest check they can receive so that both their earnings match, which of these is a factor pair of 72.

​​​​​​​ ( 3 , 24 )

​​​​​​​( 4 , 19 )

What is the sum of 84,291 and 7,095?

During june and july, a total of 48,924 visitors went to the grand canyon national park. if 25,150 visitors went to the park in june, how many visitors went in july, a total of 3,718 tickets were sold for a skating show. of that total, 1,279 were adult tickets. the remaining tickets were child tickets. how many child tickets were sold.

2,439 tickets

2,561 tickets​​​​​​

3,439 tickets

4,997 tickets

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Apr 09, 2024 Quiz Edited by ProProfs Editorial Team Expert Reviewed by Janaisa Harris
• Apr 19, 2022 Quiz Created by Catherine Halcomb

Related Topics

• Physical Education
• Special Education

Recent Quizzes

Featured Quizzes

Popular Topics

• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 7th Grade Quizzes
• 8th Grade Quizzes
• 9th Grade Quizzes
• Standard Grade Quizzes

Related Quizzes

Wait! Here's an interesting quiz for you.

Please ensure that your password is at least 8 characters and contains each of the following:

• a special character: @$#!%*?&