grade 6 word problem solving worksheets

• 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!

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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!

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Home / United States / Math Classes / Worksheets / 6th Grade Word Problems Worksheets

6th Grade Word Problems Worksheets

The grade 6 math word problems worksheets cover the four essential math operations, fractions and decimals to a deeper l evel along with introducing the other concepts like proportions, percents and integers. ...Read More Read Less

Choose Math Worksheets by Grade

Choose math worksheets by topic, 6th grade word problems worksheets explained:.

BYJU’S Math word problems worksheets for sixth graders are particularly created for students to master the basic topics of math and apply them in real-life.

• Mixed Word problems: The mixed word problems in these worksheets focus on various scenarios like a missing addend, a missing minuend, and long division methods, involving larger numbers.
• Word problems on Fractions and Decimals: These worksheets have challenging problems on fractions. These problems include converting fractions, decimals, and mixed numbers, adding and subtracting fractions with dissimilar denominators, and multiplying and dividing fractions by whole numbers.
• Word problems on Percents: These worksheets offer practice for common percent calculations, such as converting decimals to and from percentages, calculating percentages of numbers, and determining what percentage one number is of another.

The grade 6 word problems worksheets help students to obtain a solid comprehension of word problems helping them to solve different types of word problems from basic to advanced levels.

Benefits of 6th Grade Word Problems Worksheets:

The BYJU’S Math word problems worksheets for grade 6 are specially created to make students use their knowledge on math concepts in real life instances. These worksheets help students think more creatively and logically, improving their ability to quickly calculate in their minds. These worksheets measure the degree of proficiency of a student in relation to mathematical concepts. The sixth grade word problem worksheets address the concepts listed below:

• Mixed Word problems: Mixed word problems are crucial for getting students to read and analyze problems carefully rather than just looking for patterns in the answers. This is so that they can understand the situation before applying a solution.
• Word problems on Fractions and Decimals: These worksheets contain more challenging problems on fractions than previous grades. These problems include conversion between fractions, decimals and mixed numbers, addition and subtraction of fractions with both like and unlike denominators, and multiplication and division of fractions by whole numbers.
• Word problems on Percents: Practicing word problems on percents everyday is helpful to compare fractions with various denominators. It aids in comprehending daily financial considerations. BYJU'S Math offers a variety of word problem worksheets depending on the difficulty level of the questions. Students can begin with an easy level worksheet and gradually progress to the more difficult ones.

Each 6th grade word problems worksheet has three levels - easy, medium and hard. The difficulty level depends on the ability of the student to comprehend the problems that appear in a particular level of difficulty.

Printable PDF and Online 6th Grade Word Problems Worksheets:

The printable PDF word problems worksheets for 6th grade allow students to solve problems in an offline mode once downloaded from the BYJU’S Math website. This will give the students ample scope to solve the worksheet problems without a time limit attached. The PDF based worksheets are easy to download and work on. The online interactive worksheets for 6th grade students are solved in a web-based mode. These worksheets are timed and will encourage the students to participate in such time bound activities in the future. The students are able to instantly obtain the solutions and steps applied in the online mode.

What are mixed word problems?

Word problems in which different operations need to be performed like multiplying first then adding, or adding first then multiplying, in order to obtain a solution are called mixed word problems.

Define percents.

In math, percents are referred to as a number or ratio that can be expressed as a fraction of 100.

What are some real-life applications of percents?

We use percents in various fields like retail for discounts, inflation, bank interest rates, and even statistics since comparing percents is simpler than doing so with fractions.

Do we have to take any subscription to use BYJU’S Math worksheets?

All the worksheets offered by BYJU’S Math are absolutely free. Therefore, a subscription is not needed.

What formats do BYJU’S Math worksheets in?

All the worksheets from BYJU’S Math are available as PDF files that can be opened and printed, and in an online interactive format.

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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.

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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

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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
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" class="arrow-title-img"> Grade 6 math word problems with solutions and explanations

• INTRODUCTION
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6th grade math word problems curriculum.

Grade 6 math word problems with solutions and explanations is a complete training program made of games, worksheets, lessons for 6th graders on addition and subtraction word problems, fractions and mixed numbers word problems, number theory word problems, multiplication and division word problems, mixed operation word problems, solving and estimation word problems, etc.

So, we invite you to quickly grab the best of 6th Grade math word problems which consist of all the concepts in grade 6 math. Of equal interest to generate your kid’s eagerness and love for solving these math problems, we have designed very captivating math word problem resources for grade 6 .

In this light, your young math learners will significantly enhance their understanding of how to confidently apply math skills to all 6th Grade math word problems curricula. In addition, we have devised plenty of fun strategies useful for quick and effective solving all real-life math problems.

• Addition And Subtraction Online Practice And Worksheets
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• Divide Fractions
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How 6th Grade math word problems enhance kids' math skills?

Most often than not, we begin to wonder how 6th-grade math word problems enhance kids’ math skills ! But after engaging in full practice of solving these grade 6 math word problems, you’ll be surprised at your kid’s new enriching math skills.

First and foremost, as we have selected problems from all areas of our daily lives relating to addition, subtraction, multiplication, division, fractions, measurements, etc., your kids will gain more expansive reasoning to determine how best to approach any real-life math problem quickly.

Moreover, as we have designed simple solving steps and tips for solving these problems, your kids will become accustomed to the solving process, thus gaining math fluency and skills.

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Daily Math Word Problems - Grade 6 (Worksheets)

Updated:  17 Apr 2024

A set of 20 problem-solving questions suited to grade 6 students.

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Location Math Investigation - Blackbeard's Bounty

A mathematics investigation about location, embedded in a real-world context.

Multiplying and Dividing By 1,000 Poster

A set of posters to display in the classroom when learning to multiply and divide by 1,000.

Multiplying by 1,000 Worksheet

A worksheet for students to complete when learning how to multiply by 1,000.

Dividing by 1,000 Worksheet

A worksheet for students to complete when learning to divide by 1,000.

2-D Shape Bingo

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Multiplication Facts PowerPoint - Two Times Tables

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Math Word Problems

Word problems (or story problems) allow kids to apply what they've learned in math class to real-world situations.  Word problems build higher-order thinking, critical problem-solving, and reasoning skills.

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Addition and Subtraction Mixed

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This is the main page for the addition worksheets. Follow the links for Spaceship Math Addition worksheets, multiple digit addition worksheets, no-carrying addition worksheets and other addition topics. These addition worksheets are free for personal or classroom use.

This is the main page for the subtraction worksheets. Follow the links for Spaceship Math Subtraction worksheets, timed subtraction tests, multiple digit subtraction worksheets, simple borrowing and regrouping worksheets, and math worksheets with mixed addition and subtraction problems

This is the main page for the multiplication worksheets. Put your fingers away, because this is the first math operation where memorization of the facts is a requirement. You'll find multiplication worksheets for Dad's Eight Simple Rules for Mastering the Times Table, RocketMath Multiplication, multiple digit multiplication, squares and other multiplication worksheet topics. All of these multiplication worksheets include answer keys and are instantly printable and ready for classroom or home school use.

This is the main page for the division worksheets. This includes Spaceship Math Division worksheets, multiple digit division worksheets, square root worksheets, cube roots, mixed multiplication and division worksheets. These division worksheets are free for personal or classroom use.

Trying to memorize the multiplication facts? This page contains printable multiplication charts that are perfect as a reference. There are different variations of each multiplication chart with facts from 1-9 (products 1-81), 1-10 (products 1-100), 1-12 (products 1-144) and 1-15 (products 1-255). Each of these multiplication charts is a high resolution SVG, so the multiplication facts print beautifully!

Are you looking for a printable multiplication table that has more than just the facts? One with some extra math facts about the multipliers? Or a unique design? In color? The multiplication tables on this page are all high resolution SVG files that print beautifully on your printer and are great resources for learning the times tables in the grade school classroom or at home!

Fact family worksheets focus on sets of related math facts, not specific operations. Teach your kids addition and subtraction at the same time, and reinforce the relationships in a fact family! Two fact families are introduced at each level and allow for progressive practice, or just use the worksheets at the end for comprehensive fact family review.

Introductory long division worksheets, long division worksheets with and without remainders, long division with decimals. All of these long division worksheets includes detailed, expanded answers.

Practice worksheets for reducing fractions. Different fraction worksheets in this section deal with reducing simple fractions, improper fractions and mixed fractions.

Practice worksheets for comparing fractions. The fraction problems on these sheets require kids to compare like and unlike denominators, improper fractions and mixed fractions.

Fraction Addition

Worksheets for adding fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Complete work with steps is shown for each problem on the answer keys.

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These math worksheets provide practice for multiplying fractions. Includes problems with and without wholes, and with and without cross-cancelling. Every PDF fraction worksheet here has a detailed answer key that shows the work required to solve the problem, not just final answer!

Fraction Division

Dividing fractions worksheets with two fraction division. Includes simple fractions, mixed fractions and improper fractions, as well as problems that make use of a cross multiply step to solve.

Worksheets for transforming fractions into decimals, including by the use of long division.

Pre-algebra addition, subtraction, multiplication and division word problems dealing with relationships between numbers in simple equations... A great first step for easing into algebra!

Worksheets that teach basic investing math concepts, including market capitalization, price-to-earnings ratios, dividends.

These negative number worksheets combine negative numbers with other integers (both positive and negative) using the basic math operations, multiplying multi-digit negative numbers, and long division with negative numbers.

Worksheets to practice using and calculating percentages of other numbers, including converting between fractions and percentages.

These number patterns worksheets help students develop the needed skills for determining patterns and relationships between numbers.

Number patterns that cross zero and may start or end with negative values.

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Worksheets for determining the mean, median, mode and range for sets of numbers. Problems include sets of all positive integers, all negative integers and mixed sign sets, plus calculator practice.

Sudoku puzzles for kids and adults, including easy and hard difficulties, evil sudoku, Samurai Sudoku and more!

Magic square puzzles are a great introduction to logic and problem solving... Try these 3x3, 4x4 and 5x5 to level up your math skills!

The printable prime factorization worksheets on this page require students to factor progressively larger integers into their prime factors. This is the first step for determining the greatest common divisors of two numbers, or determining the least common multiple of two numbers, but additionally prime factorization introduces the concepts of prime numbers and composite numbers.

Pre-algebra skills including solving for the missing values.

Introduces squares, cubes and exponents mixed with other basic operations. Includes practice that will build site-memory of common exponential terms

These order of operations worksheets mix basic arithmetic, including parentheses and exponents. If you are looking for order of operations worksheets that test knowledge of the PEMDAS rules, these math worksheets are a good start. You can also find order of operations worksheets with negative numbers and order of operations worksheets with comparisons at these other worksheet pages.

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The blank coordinate planes on this page include variations with labels on either the axis or the edge of the grid, as well as versions with quadrant labels. You can find full 4 quadrant coordinate planes, as well as just blank 1 quadrant coordinate planes in layouts setup for solving multiple homework problems on a single page.

These measurement worksheets for inches (customary units) will build skills for performing ruler measurements of either a single point or the length measurement of an object. There are different measuring worksheets with problems appropriate for kindergarten, first grade, second grade or third grade math students.

Metric measurement worksheets for identifying measured positions and measuring objects in centimeters and millimeters on a ruler. These worksheets are great practice for first grade, second grade, third grade and fourth grade students and can also provide practical subtraction practice when measuring the length of objects on a ruler.

These worksheets use unity fractions to convert unit values from one measurement to another. This approach is more common in chemistry, physics or other science classes and requires students to focus on cancelling units to reach a solution with both the right value and the right units.

Customary unit conversion practice for distance (inches to feet), volume (ounces to gallons) and mass (ounces to pounds). These worksheets also employ unity fractions to convert unit values from one measurement to another. This approach is more common in chemistry, physics or other science classes and requires students to focus on cancelling units to reach a solution with both the right value and the right units.

These worksheets use unity fractions to convert values between SI (Metric) units and customary units. Topics in this section include conversion practice for inches to meters, liters to gallons and grams to pounds.

Whether you're looking for a list of perfect square roots, or a complete table of square roots from 1 to 100, a square root chart from this page will have your radicals covered! There are both color and black and white versions of the charts in printable PDF form.

This unique rendering of equivalent fractions combines the value of the fractions positionally on the number line to create an elegant symmetry. It not only highlights fractions in their lowest, most reduced form but provides a convenient decimal equivalent for the most commonly used fractions. This really is one of the nicest reference charts I've created in the 10 years I've been building math resources!

Use these math word search puzzles to introduce vocabulary and terms to grade school students as they are introduced to new math concepts! These word search puzzles include sets for various Common Core aligned grade levels, along with specific topics for geometry, algebra and more!

Probability anchor chart for word problem reference! This illustrated chart describes scenarios with coins, dice and playing cards. It includes odds for most likely and least likely outcomes.

This measurement chart is a good reference aid for word problems involving converting volume, length or temperature units from one system to the other. Values are shown on one scale in both customary and metric systems. Great for kitchen measurement and cooking too!

Linear equations worksheets including calculating slope from two points, calculating y-intercepts, graphing equations in slope intercept form, graphing equations in point slope form, graphing systems of equations, graphing linear equations, graphing linear inequalities and more!

A number line can be a powerful tool for learning about negative numbers, ratios or just introductory addition and subtraction operations. The number line PDFs on this page include various ranges (10, 12, 15, 20, 15 and 100) in both starting from zero as well as negative ranges. A complete set of fraction number lines marked with common denominators is included in -5 to 5 ranges. There are also application specific number lines for elapsed time, temperature and money, as well as blank number lines for regular ranges and fractions.

Ratio Worksheets and Word Problems

Ratio worksheets including relating visual quantities, ratio word problems, rate and ratio problems and finding equivalent ratios. These PDF worksheets are designed for 3rd through 6th grade students and include full answer keys. Ratio Simple Ratio V1

Venn Diagram Templates and Worksheets

Check out this page for Venn diagram worksheets, blank Venn diagram templates and practice for Venn diagram concepts. Venn diagrams are useful for learning set concepts such as intersection, exclusion and complements. Venn Diagram Template Colored 3 Sets With Lines

Sixth Grade! Almost ready for Middle School! But that doesn't mean it's the end of math practice, no indeed. These sixth grade math worksheets cover most of the core math topics previous grades, including conversion worksheets, measurement worksheets, mean, median and range worksheets, number patterns, exponents and a variety of topics expressed as word problems. Students in 6th grade should have an outstanding mastery of their math facts and be able to complete timed addition, subtraction, multiplication and division tests rapidly and with near perfect accuracy. Students in 6th grade should also be comfortable with fractions, and the topics convered on the fraction worksheets on this page should be familiar. With confidence in these math topics, students in 6th grade should be ready for pre-algebra as they move on to the next part of their discovery of mathematics.

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Grade 6 Word Problems

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Free Printable Data Word Problems Worksheets for 6th Grade

Data Word Problems: Discover a collection of free printable worksheets tailored for Grade 6 math teachers, focusing on enhancing students' problem-solving skills with engaging and interactive activities.

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Explore printable Data Word Problems worksheets for 6th Grade

Data Word Problems worksheets for Grade 6 are an essential resource for teachers looking to help their students master the art of solving math word problems. These worksheets provide a variety of challenging and engaging problems that are designed to develop students' critical thinking and problem-solving skills. With a focus on real-world applications, Grade 6 students will learn how to analyze and interpret data, as well as apply their math knowledge to solve complex problems. Teachers can use these worksheets to supplement their existing math curriculum, provide extra practice for struggling students, or as a fun and educational activity for the whole class. By incorporating Data Word Problems worksheets for Grade 6 into their lesson plans, teachers can ensure that their students are well-prepared for the challenges of higher-level math courses.

In addition to Data Word Problems worksheets for Grade 6, teachers can also utilize Quizizz as a valuable tool for enhancing their students' math skills. Quizizz offers a wide range of interactive quizzes and games that are designed to engage students and make learning fun. With a vast library of content covering various math topics, including Math Word Problems, teachers can easily find quizzes that align with their current lesson plans and objectives. Furthermore, Quizizz allows teachers to track their students' progress and performance, providing valuable insights into areas where students may need additional support or practice. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and interactive learning environment that not only helps students improve their math skills but also fosters a love for learning and a deeper understanding of mathematical concepts.

Word Problem Worksheets for Grades 6-12

• Word Problems: Decision Making (Gr. 6)
• World Currencies: Exchange Rate Word Problems
• Charts and Graphs: Decision Making (Gr. 6)
• Holocaust Facts and Figures
• Baseball Fun
• Word Problems Using Graphs
• Money: Decision Making (Gr. 6)
• Word Problems - Using Data from a Chart
• Using Scatterplots: Patterns in Data (Gr. 6)
• Math Warm-Up 257 for Gr. 5 & 6: Algebra, Patterns & Functions
• Math Warm-Up 71 for Gr. 5 & 6: Operations
• Math Warm-Up 83 for Gr. 5 & 6: Operations
• Checklist for Problem-Solving Guide 2
• SIR RIGHT: A Strategy for Math Problem Solving
• Math Warm-Up 88 for Gr. 5 & 6: Operations
• Average Attendance
• Real Numbers, Algebra, and Problem Solving, Set 2
• Adding and Subtracting Fractions: Patterns in Geometry (Gr. 6)
• Math Warm-Up 72 for Gr. 5 & 6: Operations
• Math Warm-Up 76 for Gr. 5 & 6: Operations
• Math Warm-Up 87 for Gr. 5 & 6: Operations
• Activity: Radioactive Dating
• Time for Baseball
• George Washington Word Problems
• Tables and Graphs: Decision Making (Gr. 6)
• Can You "Gauss" the Answer?
• Math Warm-Up 6 for Gr. 5 & 6: Numbers and Numeration
• Math Warm-Up 64 for Gr. 5 & 6: Operations
• Math Warm-Up 74 for Gr. 5 & 6: Operations
• Math Warm-Up 78 for Gr. 5 & 6: Operations
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GRADE 6 MATH WORD PROBLEMS WITH ANSWERS

Problem 1 :

A train travels 18 km/hr. How many meters will it travel in 12 minutes.

(A) 3600         (B) 4200          (C) 5100

Speed of the train  =  18 km/hr 

Speed of train in m/sec  =  18  ⋅ ( 5/18)

  =  5 m/sec

12 minutes  =  12 (60)

=  720 seconds

Distance covered in 720 seconds  =  time taken (Speed)

  =  720(5)

  =  3600 m

So, the distance covered is 3600 m.

Problem 2 :

The average age of 30 kids is 9 years. If the age of teacher is included, the average age becomes 10 years. What is the age of teacher?

(A) 26            (B) 58            (C) 40

The average age of 30 kids is 9 years

Let x be the age of teacher 

Average age  =  Sum of  ages/Total number of ages

9  =  sum of ages of 30 kids/30

Sum of ages of 30 kids  =  30  ⋅  9

  =  270

Sum of ages of kids and teacher  =  270 + x

Average age of kids and teacher   =  (270 + x)/31

10  =  (270 + x)/31

10 (31)  =  270 + x

310  =  270 + x

x  =  310 - 270

x  =  40

So, the required age is 40 years.

Problem 3 :

If the height of a cylinder is 7 cm and the radius is 3 cm, then the surface area of the cylinder is ?

(A) 150          (B) 132          (B) 143

Height of the cylinder  =  7 cm

Radius of the cylinder  =  3 cm

Curved surface area of cylinder  =  2 Π r h

  =  2  ⋅  (22/7)  ⋅  7  ⋅  3

  =  2  ⋅   22  ⋅  3

  =  44  ⋅  3

 =  132 cm 2

So, the answer is 132 cm 2

Problem 4 :

Jack purchases a calculator for $350 and sells for $420.Then the percentage of profit is

(A) 10%           (B) 20%             (C) 50%

Cost price of a calculator  =  $350

Selling price of the calculator  =  $420

Profit  =  Selling price - Cost price

  =  420 - 350

  =  70

profit percentage  =  (profit/cost price)  ⋅  100

  =  (70/350) ⋅ 100

  =  (1/5) ⋅ 100

  =  20%

So, the answer is 20%

Problem 5 :

The average of 6 numbers is 8. What is the 7th number, so that its average will become 10 ?

(A) 15        (B) 22        (C) 12

The average of 6 numbers is 8

Average  =  Sum of numbers/Number of terms

8  =  Sum of 6 numbers/6

6(8)  =  Sum of 6 numbers

Sum of 6 numbers  =  48

If 7th term is added with this total, its average will become 10

Let x be the 7th term

(48 + x)/7  =  10

48 + x  =  70

x  =  70 - 48

x  =  22   

So, the answer is 22.

Problem 6 :

Find the number of prime factors of 6 10  × 7 17  × 55 27

(A) 100            (B) 91          (C) 64

  =  6  10  × 7  17  × 55 27

  =  (2 x 3)  10  × 7  17  × (5 x 11) 27

  =  2 10  x 3 10  × 7  17  × 5 27  x 11 27

Total number of prime factors  =  10 + 10 + 17 + 27 + 27

  =  91

So, the answer is 91.

Problem 7 :

If 12 man can do a piece of work in 36 days. Within how many days 18 men can do the same work ?

(A) 27        (B) 24          (C) 22

Work done  =  Number of days  ⋅ number of men

  =  36 ⋅ 12

  =  432  ---(1)

Work done  =  Number of days ⋅ 18  ----(2)

432  =   Number of days ⋅ 18

Number of days  =  432 / 18

Number of days  =  24

So, the required number of days is 24.

Problem 8 :

A man traveled from the village to the post office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the entire journey took 5 hours 48 minutes, determine the distance of the post office from that village.

(A) 20           (B) 13         (C) 20

The distance covered in both cases are same.

Time  =  Distance / Speed

T 1   =  Distance / 25

T 2   =  Distance / 4

5 hours 48 minutes  =  5   4/5  hours

29/5  =  (Distance / 25) + (Distance / 4)

29/5  =  (4 Distance + 25 Distance) / 100

  (29/5)  ⋅ (100/29)   =  Distance 

  Distance  =  20 km

Problem 9 :

The sum of reciprocal of (3/2) and the reciprocal of 3 is

(A) 2           (B) 1            (C) 5

Reciprocal of 3/2 is 2/3

reciprocal of 3 is 1/3

Sum of these two numbers  =  (2/3) + (1/3)

  =  (2 + 1)/3

  =  3/3

  =  1

So, the correct answer for this question is 1

Problem 10 :

It is 9 hours now in a 12 hour clock. What will be the time after 18 hours ?

(A) 2           (B) 4          (C) 3

Now, the time is 9 hours. We want to know the time after 18 hours.

To get answer for our question, we have to do the following steps.

Add 18 to 9

Divide the result by the divisor 12

Take the remainder

9 + 18  =  27

When 27 is divided by 12, the remainder is 3

The time after 18 hours will be 3 hours.  So the answer is 3 hours.

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Unit 1: add and subtract within 20, unit 2: place value, unit 3: add and subtract within 100, unit 4: add and subtract within 1,000, unit 5: money and time, unit 6: measurement, unit 7: data, unit 8: geometry.

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Division Worksheets

Division worksheets for grade 3 through grade 6.

Our free division worksheets start with practicing simple division facts (e.g. 10 ÷2 = 5) and progress to long division with divisors up to 99. Exercises with and without remainders and with missing divisors or dividends are included.

Choose your grade / topic:

Grade 3 division worksheets, grade 4 mental division worksheets, grade 4 long division worksheets, grade 5 division worksheets, grade 6 division worksheets.

Division facts: drills and practice

Long division: drills and practice

Division flashcards

Topics include:

• Meaning of division & division sentences
• Equal groups
• Division by 2 or 3, 4 or 5, 6 or 7, 8 or 9
• Division facts practice (tables 1-10)
• Division facts practice (tables 1-12)
• Multiplication and division fact families
• Division facts with missing dividend or divisors
• Dividing by 10
• Dividing by 100
• Divide by whole 10s
• Divide by whole hundreds
• Divide 3 or 4 digit numbers by 1 digit numbers (no remainders)
• Division with remainders (1-100)
• Long division: Division facts (1-100), no remainder
• Long division: Division facts (1-100), with remainder
• Division word problems
• Division facts (tables 1-10, 1-12)
• Division facts with missing dividend or divisor
• Divide by 10 or 100
• Divide by whole tens or hundreds
• Divide whole tens or hundreds by 1-digit numbers
• Divide numbers up to 1,000 by 1-digit numbers
• Division with remainders (1-1,000)
• Divide by 10 or 100, with remainders
• Mixed multiplication and division word problems
• Mixed 4 operations word problems
• Division facts in long division form
• 2 digit numbers divided by 1-digit numbers, with / without remainders
• 3 digit numbers divided by 1-digit numbers, with / without remainders
• 4 digit numbers divided by 1-digit numbers, with / without remainders
• Divide 3 or 4-digit numbers by 1-digit numbers mentally
• Division with remainder 1-100, 1-1,000
• Dividing by whole tens or hundreds, with remainders
• Long division with 1-digit divisors, no remainders
• Long division with 1-digit divisors, with remainders
• Long division with 2-digit divisors (10-25, 10-99)
• Missing dividend or divisor problems
• Missing factor problems (solve by long division)
• 1-10,000 divided by 1-digit  numbers, no remainder
• 1-100,000 divided by 1-digit  numbers, with remainder
• Long division by 2-digit divisors

Related topics

Multiplication worksheets

Fractions worksheets

Sample Division Worksheet

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