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→ → Grade 6 This is a comprehensive collection of free printable math worksheets for sixth grade, organized by topics such as multiplication, division, exponents, place value, algebraic thinking, decimals, measurement units, ratio, percent, prime factorization, GCF, LCM, fractions, integers, and geometry. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any sixth grade math program, but go especially well with . The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5). All worksheets come with an answer key placed on the 2nd page of the file. In sixth grade, students will start the study of beginning algebra (order of operations, expressions, and equations). They learn about ratios & percent and start using integers. Students also review long division, factoring, fraction arithmetic, and decimal arithmetic.In geometry, the focus is on the area of triangles and polygons and the volume of rectangular prisms. Other topics include rounding, exponents, GCF, LCM, and measuring units. Please note that these free worksheets do not cover all 6th grade topics; most notably, they do not include problem solving. Multiplication and Division and Some Review
(0-2 decimal digits) , need to add zeros to the dividend , rounding the answers to three decimals
by Edward Zaccaro A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging. Exponents Place value/Rounding (up to 9 digits) (up to 12 digits) (up to 9 digits), the parts are scrambled (up to 12 digits), the parts are scrambled (up to 6 decimal digits), the parts are scrambled - rounding to the underlined digit, up to rounding to the nearest million - round to the underlined digit, up to rounding to the nearest trillion Algebra
(by combining like terms; no negative numbers) ) Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.
Fractions vs. Decimals This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science.
(Think of how many times the divisor fits into the quotient.) (1 decimal digit)
Measuring units
- a challenge - use a calculator - use a calculator - use a calculator - use a calculator - use a calculator - using decimals - using decimals - using decimals - using decimals (mm, cm, dm, m, dam, hm, km) (mg, cg, dg, g, dag, hg, kg) (ml, cl, dl, L, dal, hl, kl) Ratio Percent - easy, percents are multiples of ten - easy, percents are multiples of ten - medium, percents are multiples of five - use a calculator - easy - use a calculator Prime factorization, GCF, and LCM Fraction addition and subtraction - 3 fractions, denominators 2-12 - 3 fractions, denominators 2-20 - 4 fractions, denominators 2-12 (two numbers; fractions, mixed numbers, or whole numbers) (three numbers; fractions, mixed numbers, or whole numbers) - mental math, as the answers are whole numbers (easy, varied denominators) Integers (scaling on the grid is from -20 to 20)
(print in landscape) (print in landscape)
Geometry
(scaling on the grid is from -50 to 50)
(easy: halves, thirds, and fourths; the whole number part is max 1) (easy: halves, thirds, and fourths; the whole number part is max 2) (challenge: fractions up till sixths) (easy) (using decimals) when surface area or volume is given Proportions - only whole numbers Circle |

- 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
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- Add & subtract decimals
- Multiply & divide decimals
- Fractions & mixed numbers
- Add & subtract fractions
- Multiply fractions
- Divide fractions
- Operations with integers
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- Problems solving
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- Measuring units
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- One step equations
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- Two-step equations
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- Symmetry & transformation
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## 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!

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## 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!

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## 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.

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## 6th Grade Math Worksheets

Count on our printable 6th grade math worksheets with answer keys for a thorough practice. With strands drawn from vital math topics like ratio, multiplication, division, fractions, common factors and multiples, rational numbers, algebraic expressions, integers, one-step equations, ordered pairs in the four quadrants, and geometry skills like determining area, surface area, and volume, organizing numerical data as dot plots, histograms and box plots, finding mean, median, and quartiles of datasets, these pdfs become your often go-to place. Grab your ticket to a great start with our free math worksheets for grade 6 students!

## Select Grade 6 Math Worksheets by Topic

Explore 4,600+ Sixth Grade Math Worksheets

Division | 4-Digit by 2-Digit and 3-Digit

Divide a 4-digit number by a 2-digit or 3-digit number, starting from the largest place value and dividing your way down to the last digit to find the quotient and remainder (if any).

- Download the set

Drawing Shapes to Represent the Ratio

Jazz up your ratio skills with our 6th grade math worksheet pdfs. Direct students to visually represent the terms of each ratio by sketching the specified number of shapes.

Multiplying Two Fractions by Cross Cancelling

Breaking down the numerator and denominator into prime factors, cross-cancelling the common factors, and multiplying the uncancelled parts of the fraction are all grade 6 learners are expected to do!

Expressing Decimals in Words | Up to Millionths

Let your understanding of decimal place value soar to new heights as you dive into these printable 6th grade math worksheets and express decimals up to millionths in words and vice versa.

Finding the GCF of Two Numbers

Follow the step-by-step process of finding the GCF by listing out all the factors of each pair of 2-digit numbers, then compare the factors, figure out the common ones and the greatest among them is your answer.

Representation of Integers

Laying a strong foundation in integers becomes easy with a touch of real-world offered in these grade 6 math pdf worksheets, where each scenario should be represented with a positive or negative integer.

One-Step Equation: Addition and Subtraction | Integers

Rearrange the equation, making the variable the subject, and take the integer constant to the other side and change its sign, add or subtract to find the value of the unknown variable.

Identifying Ordered Pairs in All Quadrants

Get acquainted with the coordinate plane, the four quadrants, and the ordered pairs. Identify the point representing each ordered pair in Part A; and locate and write the x-y coordinates of each point in part B.

Determining the Area of a Square

Equip grade 6 children with these printable math worksheets, if practice in determining the area of a square is on your mind. Get students to square the fractional side lengths and compute the area.

Identifying Nets of 3D Shapes

Get 6th grade learners to imagine folding the 2D nets presented in this printable math worksheet along the edges and visualize the 3D shapes that can be constructed from them.

- Grab the Worksheet

Surface Area using Nets | Counting Squares

Whether it is refining or testing skills in counting the unit squares to determine the surface area of rectangular prisms, cubes or triangular prisms from their nets, these pdfs serve the purpose.

Five-Number Summary

Descriptively analyze each dataset, by rearranging the values in ascending order and figuring out the maximum and minimum values, and the lower or 1st, median or 2nd, and upper or 3rd quartiles.

Division of 5-Digit Numbers by 1-Digit and 2-Digit Divisors

Push boundaries and brush up your division skills with adequate practice provided by these exercises in dividing 5-digit numbers with single and double-digit divisors.

Ratio Word Problems | Part-to-Part

Put your analytical skills to test with our 6th grade math worksheet pdfs. Study the data given in the pictogram and answer the set of questions detecting the part-to-part ratio in each scenario.

Multiplying Mixed Numbers and Fractions

Effortlessly multiply mixed numbers and fractions by converting the mixed numbers to improper fractions, cross cancelling the common factors and then multiplying what's left over.

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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.

## Fraction Subtraction

Worksheets for subtracting fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Full answer keys that show work!

## Fraction Multiplication

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.

## Mean, Median, Range

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.

Free printable graph paper, grid paper and dot paper for math problems, crafts, zentangling, landscape design, architecture or just simple doodling. All graph paper styles include inch and centimeter variations. All of these PDF files are designed to print on 8.5 x 11 inch paper.

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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Students are entering a new section of math that consists of algebra, geometry, decimals, and more complicated division problems. When there is not a parent or teacher around, students have access to on-demand videos for their sixth-grade mathematical lessons. Our video tutorials are taught by math teachers who go through the problem solving process.

- The key to learning math is repetition, and our math teachers go through multiple examples.
- Math teachers show students step-by-step directions on how to solve these more complex problems.
- Students learn money, ratios, decimals, graphing, and other concepts from the 6th grade curriculum.

## 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

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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.

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.

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- Inspiration

## Sixth grade math

IXL offers hundreds of sixth grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

## A. Add and subtract whole numbers

- 1 Add and subtract whole numbers
- 2 Add and subtract whole numbers: word problems

## B. Multiply whole numbers

- 1 Multiply whole numbers
- 2 Multiply whole numbers: word problems
- 3 Multiply numbers ending in zeros
- 4 Multiply numbers ending in zeros: word problems
- 5 Estimate products

## C. Divide whole numbers

- 1 Divisibility rules
- 2 Division patterns with zeros
- 3 Divide numbers ending in zeros: word problems
- 4 Estimate quotients
- 5 Divide whole numbers - 2-digit divisors
- 6 Divide whole numbers - 3-digit divisors

## D. Exponents

- 1 Write multiplication expressions using exponents
- 2 Evaluate powers
- 3 Write powers of ten with exponents
- 4 Find the missing exponent or base
- 5 Powers with decimal bases
- 6 Powers with fractional bases

## E. Mixed operations: whole numbers

- 1 Add, subtract, multiply, or divide two whole numbers
- 2 Add, subtract, multiply, or divide two whole numbers: word problems
- 3 Estimate to solve word problems
- 4 Multi-step word problems
- 5 Multi-step word problems: identify reasonable answers
- 6 Evaluate numerical expressions one step at a time
- 7 Evaluate numerical expressions involving whole numbers
- 8 Identify mistakes involving the order of operations

## F. Number theory

- 1 Prime or composite
- 2 Identify factors
- 3 Find all the factor pairs of a number
- 4 Prime factorization
- 5 Prime factorization with exponents
- 6 Greatest common factor
- 7 Greatest common factor of three or four numbers
- 8 Least common multiple
- 9 Least common multiple of three or four numbers
- 10 GCF and LCM: word problems
- 11 Sort factors of numerical expressions

## G. Fractions and decimals

- 1 Write fractions in lowest terms
- 2 Least common denominator
- 3 Convert between improper fractions and mixed numbers
- 4 Convert fractions to decimals
- 5 Convert decimals to fractions
- 6 Convert between fractions and repeating decimals
- 7 Convert between decimals and fractions
- 8 Convert between decimals and mixed numbers
- 9 Put a mix of decimals and fractions in order
- 10 Put a mix of decimals, fractions, and mixed numbers in order
- 11 Understand fractions as division: word problems

## H. Add and subtract decimals

- 1 Add and subtract decimal numbers
- 2 Add and subtract decimals: word problems
- 3 Add and subtract money amounts: word problems
- 4 Complete the decimal addition or subtraction sentence
- 5 Estimate sums and differences of decimals
- 6 Maps with decimal distances

## I. Multiply and divide decimals

- 1 Estimate products of decimal numbers
- 2 Multiply two decimals: where does the decimal point go?
- 3 Multiply decimals
- 4 Inequalities with decimal multiplication
- 5 Divide decimals by whole numbers
- 6 Divide decimals by whole numbers: word problems
- 7 Multiply and divide decimals by powers of ten
- 8 Estimate decimal quotients
- 9 Division with decimal divisors
- 10 Inequalities with decimal division
- 11 Multiply and divide decimals: word problems

## J. Mixed operations: decimals

- 1 Add, subtract, multiply, or divide two decimals
- 2 Add, subtract, multiply, or divide two decimals: word problems
- 3 Evaluate numerical expressions involving decimals

## K. Add and subtract fractions

- 1 Add and subtract fractions with like denominators
- 2 Add and subtract fractions with like denominators: word problems
- 3 Add and subtract fractions with unlike denominators
- 4 Add and subtract fractions with unlike denominators: word problems
- 5 Inequalities with addition and subtraction of like and unlike fractions
- 6 Add and subtract mixed numbers
- 7 Add and subtract mixed numbers: word problems
- 8 Estimate sums and differences of mixed numbers
- 9 Maps with fractional distances

## L. Multiply fractions

- 1 Multiply fractions by whole numbers I
- 2 Multiply fractions by whole numbers II
- 3 Multiply fractions by whole numbers: word problems
- 4 Estimate products of fractions and whole numbers
- 5 Multiply two fractions using models
- 6 Multiply two fractions
- 7 Multiply fractions: word problems
- 8 Scaling whole numbers by fractions: justify your answer
- 9 Scaling by fractions and mixed numbers
- 10 Multiply three or more fractions and whole numbers
- 11 Estimate products of mixed numbers
- 12 Multiply mixed numbers and whole numbers
- 13 Multiply mixed numbers
- 14 Multiply mixed numbers: word problems
- 15 Multiply three or more mixed numbers, fractions, and/or whole numbers

## M. Divide fractions

- 1 Divide whole numbers by unit fractions using models
- 2 Reciprocals
- 3 Divide whole numbers and unit fractions
- 4 Divide whole numbers and fractions using models
- 5 Divide fractions by whole numbers in recipes
- 6 Divide fractions using models
- 7 Divide fractions
- 8 Estimate quotients when dividing mixed numbers
- 9 Divide fractions and mixed numbers using models
- 10 Divide fractions and mixed numbers
- 11 Divide fractions and mixed numbers using models: word problems
- 12 Divide fractions and mixed numbers: word problems

## N. Mixed operations: fractions

- 1 Add, subtract, multiply, or divide two fractions
- 2 Add, subtract, multiply, or divide two fractions: word problems
- 3 Evaluate numerical expressions involving fractions

## O. Integers

- 1 Understanding integers
- 2 Integers on number lines
- 3 Graph integers on horizontal and vertical number lines
- 4 Understanding opposite integers
- 5 Understanding absolute value
- 6 Absolute value
- 7 Compare integers
- 8 Put integers in order
- 9 Integer inequalities with absolute values
- 10 Absolute value and integers: word problems

## P. Operations with integers

- 1 Add integers using counters
- 2 Add integers using number lines
- 3 Add integers
- 4 Subtract integers using counters
- 5 Subtract integers using number lines
- 6 Subtract integers
- 7 Add and subtract integers: find the sign
- 8 Add and subtract integers: word problems
- 9 Add and subtract integers: input/output tables
- 10 Add three or more integers
- 11 Understand multiplying by a negative integer using a number line
- 12 Multiply integers: find the sign
- 13 Multiply integers
- 14 Divide integers: find the sign
- 15 Divide integers
- 16 Add, subtract, multiply, or divide two integers
- 17 Evaluate numerical expressions involving integers

## Q. Rational numbers

- 1 Rational numbers on number lines
- 2 Rational numbers: equal or not equal
- 3 Compare and order rational numbers using number lines
- 4 Compare rational numbers
- 5 Put rational numbers in order
- 6 Compare and order rational numbers: word problems
- 7 Opposites of rational numbers
- 8 Absolute value of rational numbers
- 9 Rational numbers: find the sign
- 10 Classify rational numbers using a diagram
- 11 Classify numbers

## R. Coordinate plane

- 1 Describe the coordinate plane
- 2 Objects on a coordinate plane
- 3 Graph points on a coordinate plane
- 4 Quadrants
- 5 Reflect a point over an axis
- 6 Coordinate planes as maps
- 7 Distance between two points
- 8 Follow directions on a coordinate plane
- 9 Area and perimeter of squares and rectangles on the coordinate plane

## S. Ratios and rates

- 1 Write a ratio
- 2 Write a ratio using a fraction
- 3 Write a ratio: word problems
- 4 Which model represents the ratio?
- 5 Identify equivalent ratios
- 6 Write an equivalent ratio
- 7 Ratio tables
- 8 Equivalent ratios: word problems
- 9 Unit rates
- 10 Equivalent rates
- 11 Calculate speed, distance, or time: word problems
- 12 Ratios and rates: complete a table and make a graph
- 13 Use tape diagrams to solve ratio word problems
- 14 Compare ratios: word problems
- 15 Compare rates: word problems
- 16 Ratios and rates: word problems
- 17 Do the ratios form a proportion?
- 18 Solve the proportion
- 19 Scale drawings: word problems

## T. Proportional relationships

- 1 Identify proportional relationships from graphs
- 2 Identify proportional relationships from tables
- 3 Identify proportional relationships by graphing
- 4 Interpret graphs of proportional relationships

## U. Percents

- 1 What percentage is illustrated?
- 2 Understanding percents: strip models
- 3 Convert fractions to percents using grid models
- 4 Convert between percents, fractions, and decimals
- 5 Convert between percents, fractions, and decimals: word problems
- 6 Compare percents to each other and to fractions
- 7 Compare percents and fractions: word problems

## V. Percents of numbers

- 1 Estimate percents of numbers
- 2 Solve percent problems using grid models
- 3 Solve percent problems using strip models
- 4 Percents of numbers and money amounts
- 5 Percents of numbers: word problems
- 6 Percents of numbers: fractional and decimal percents
- 7 Find what percent one number is of another
- 8 Find what percent one number is of another: word problems
- 9 Find the total given a part and a percent
- 10 Solve percent problems
- 11 Solve percent word problems

## W. Units of measurement

- 1 Estimate customary measurements
- 2 Estimate metric measurements
- 3 Convert and compare customary units
- 4 Convert, compare, add, and subtract mixed customary units
- 5 Multiply and divide mixed customary units
- 6 Customary unit conversions involving fractions and mixed numbers
- 7 Convert and compare metric units
- 8 Convert customary and metric units using proportions
- 9 Convert between customary and metric systems
- 10 Compare temperatures above and below zero
- 11 Convert between Celsius and Fahrenheit

## X. Consumer math

- 1 Which is the better coupon?
- 2 Unit prices
- 3 Unit prices with fractions and decimals
- 4 Unit prices with customary unit conversions
- 5 Sale prices
- 6 Sale prices: find the original price
- 7 Percents - calculate tax, tip, mark-up, and more
- 8 Simple interest

## Y. Expressions

- 1 Write variable expressions: one operation
- 2 Write variable expressions: two operations
- 3 Write variable expressions: word problems
- 4 Evaluate variable expressions with whole numbers
- 5 Evaluate multi-variable expressions
- 6 Evaluate variable expressions with decimals, fractions, and mixed numbers
- 7 Evaluate variable expressions: word problems
- 8 Identify terms and coefficients
- 9 Sort factors of variable expressions

## Z. Equivalent expressions

- 1 Identify equivalent expressions using strip models
- 2 Properties of addition
- 3 Properties of multiplication
- 4 Multiply using the distributive property: area models
- 5 Multiply using the distributive property
- 6 Factor numerical expressions using the distributive property
- 7 Factor variable expressions: area models
- 8 Factor variable expressions using the distributive property
- 9 Solve for a variable using properties of multiplication
- 10 Write equivalent expressions using properties
- 11 Add and subtract like terms
- 12 Identify equivalent expressions I
- 13 Identify equivalent expressions II

## AA. One-variable equations

- 1 Does x satisfy an equation?
- 2 Which x satisfies an equation?
- 3 Write an equation from words
- 4 Identify expressions and equations
- 5 Model and solve equations using algebra tiles
- 6 Model and solve equations using diagrams
- 7 Write and solve equations that represent diagrams
- 8 Solve one-step addition and subtraction equations with whole numbers
- 9 Solve one-step multiplication and division equations with whole numbers
- 10 Solve one-step equations with whole numbers
- 11 Solve one-step addition and subtraction equations with decimals and fractions
- 12 Solve one-step multiplication and division equations with decimals and fractions
- 13 Solve one-step addition and subtraction equations: word problems
- 14 Solve one-step multiplication and division equations: word problems
- 15 Write a one-step equation: word problems
- 16 Solve one-step equations: word problems
- 17 Which word problem matches the one-step equation?
- 18 Solve one-step equations involving integers

## BB. One-variable inequalities

- 1 Solutions to inequalities
- 2 Graph inequalities on number lines
- 3 Write inequalities from number lines
- 4 Write and graph inequalities: word problems
- 5 Solve one-step inequalities
- 6 Graph solutions to one-step inequalities
- 7 One-step inequalities: word problems

## CC. Two-variable equations

- 1 Does (x, y) satisfy an equation?
- 2 Identify independent and dependent variables in tables and graphs
- 3 Write an equation from a graph using a table
- 4 Identify independent and dependent variables: word problems
- 5 Find a value using two-variable equations
- 6 Find a value using two-variable equations: word problems
- 7 Solve word problems by finding two-variable equations
- 8 Complete a table for a two-variable relationship
- 9 Write a two-variable equation from a table
- 10 Write a two-variable equation
- 11 Identify the graph of an equation
- 12 Complete a table and graph a two-variable equation
- 13 Graph a two-variable equation
- 14 Interpret a graph: word problems

## DD. Lines and angles

- 1 Lines, line segments, and rays
- 2 Measure and classify angles
- 3 Estimate angle measurements
- 4 Name angles
- 5 Complementary and supplementary angles
- 6 Identify complementary, supplementary, vertical, adjacent, and congruent angles
- 7 Find measures of complementary, supplementary, vertical, and adjacent angles

## EE. Two-dimensional figures

- 1 Identify and classify polygons
- 2 Classify triangles
- 3 Triangle inequality
- 4 Identify trapezoids
- 5 Classify quadrilaterals
- 6 Graph triangles and quadrilaterals
- 7 Find missing angles in triangles
- 8 Find missing angles in special triangles
- 9 Find missing angles in quadrilaterals
- 10 Sums of angles in polygons
- 11 Line symmetry

## FF. Three-dimensional figures

- 1 Identify polyhedra
- 2 Which figure is being described?
- 3 Nets of three-dimensional figures
- 4 Front, side, and top view

## GG. Perimeter and area

- 1 Perimeter
- 2 Area of rectangles and squares
- 3 Understanding area of a parallelogram
- 4 Area of parallelograms
- 5 Understanding area of a triangle
- 6 Area of triangles
- 7 Understanding area of a trapezoid
- 8 Area of trapezoids
- 9 Area of rhombuses
- 10 Area of quadrilaterals
- 11 Area of compound figures
- 12 Area of compound figures with triangles
- 13 Area between two rectangles
- 14 Area between two triangles
- 15 Rectangles: relationship between perimeter and area
- 16 Compare area and perimeter of two figures
- 17 Area of quadrilaterals and triangles: word problems

## HH. Surface area and volume

- 1 Volume of cubes and rectangular prisms
- 2 Volume of cubes and rectangular prisms with fractional side lengths
- 3 Volume of cubes and rectangular prisms: word problems
- 4 Surface area of cubes and rectangular prisms
- 5 Volume of triangular prisms
- 6 Surface area of triangular prisms
- 7 Surface area of pyramids
- 8 Relate volume and surface area

## II. Data and graphs

- 1 Create line plots
- 2 Interpret line plots
- 3 Create and interpret line plots with fractions
- 4 Create frequency charts
- 5 Interpret categorical data
- 6 Create relative frequency tables
- 7 Create bar graphs
- 8 Create percent bar graphs
- 9 Interpret bar graphs
- 10 Create double bar graphs
- 11 Interpret double bar graphs
- 12 Create histograms
- 13 Interpret histograms
- 14 Interpret circle graphs
- 15 Create line graphs
- 16 Interpret line graphs
- 17 Create double line graphs
- 18 Interpret double line graphs
- 19 Create stem-and-leaf plots
- 20 Interpret stem-and-leaf plots
- 21 Box plots

## JJ. Statistics

- 1 Identify statistical questions
- 2 Calculate mean, median, mode, and range
- 3 Interpret charts and graphs to find mean, median, mode, and range
- 4 Mean, median, mode, and range: find the missing number
- 5 Changes in mean, median, mode, and range
- 6 Calculate mean absolute deviation
- 7 Calculate quartiles and interquartile range
- 8 Identify an outlier
- 9 Identify an outlier and describe the effect of removing it
- 10 Interpret measures of center and variability
- 11 Describe distributions in line plots
- 12 Choose appropriate measures of center and variation
- 13 Identify representative, random, and biased samples

## KK. Probability

- 1 Counting principle
- 2 Probability of one event
- 3 Make predictions
- 4 Probability of simple events and opposite events

## LL. Financial literacy

- 1 Compare checking accounts
- 2 Check registers
- 3 Debit cards and credit cards
- 4 Credit reports
- 5 Paying for college
- 6 Occupations, education, and income

## Sixth grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

## Number sense

- Prime factorization
- Greatest common factor
- Least common multiple
- Absolute value
- Additive inverses
- Comparing rational numbers
- Estimating quotients
- Partial quotients
- Area model division
- Dividing by 1-digit numbers
- Dividing by 2-digit numbers
- Long division

## Exponents and powers of 10

- Powers of 10

## Properties and mixed operations

- The distributive property
- Order of operations
- Least common denominator
- Simplest form
- Dividing fractions and mixed numbers
- Dividing fractions by whole numbers
- Dividing whole numbers by fractions
- Reciprocals
- Adding decimals
- Subtracting decimals
- Multiplying decimals by powers of 10
- Multiplying decimals by whole numbers
- Multiplying decimals
- Dividing decimals by powers of 10
- Dividing decimals by whole numbers
- Dividing decimals

## Percents, ratios, and rates

- Converting between fractions, decimals, and percents
- Proportions
- Expressions and equations
- Writing algebraic expressions
- Evaluating expressions
- Equivalent expressions
- Simplifying expressions
- Expanding expressions
- Factoring expressions
- Solving equations
- Independent and dependent variables
- Inequalities on a number line
- Coordinate plane
- Area of triangles
- Area of parallelograms
- Area of rhombuses
- Area of trapezoids
- Area of compound shapes
- What is surface area?
- Surface area formulas
- Volume formulas
- Volume of rectangular prisms
- Volume of prisms

## Measurement

- Converting metric units
- Converting customary units

## Data and graphs

- Mean, median, mode, and range
- Mean absolute deviation
- Interquartile range
- Box and whisker plots
- Frequency tables
- Statistical questions

## Build Confidence with Math Problem Solving

Daily Problem Solving will help your 6th grade students master the skills they need to be successful with challenging word problems...and have fun doing it .

## What you'll get with this download:

Your download includes a full week of Daily Problem Solving for Grade 6 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.

FUN & ENGAGING

Themed-problems and a weekly fun fact make it easy to keep learners engaged

MINIMAL PREP

Formatted for quick & easy implementation that won't add stress to your planning

PRINT & DIGITAL

Includes both print and digital student options for added flexibility

## Help Students Master Math Word Problems

I've been using this with my extremely anxious learner and it works wonders to build confidence because we see the improvement.

These have given me such an insight into my students' abilities, and I've watched them improve their skills and successfully solve multi-step word problems.

Jilliana D.

## STUDENT PRINTABLES

You'll receive a full week of printable Daily Problem Solving practice for your students. This format includes:

- Paper-saving format that fits a full week on one page
- Space for student work, feedback, and self-reflection
- Themed problems & weekly fun fact to engage

## DIGITAL SLIDES

Daily digital slides offer your remote or online learners the opportunity to build problem-solving skills in a structured format designed for success.

- Single slide per day prevents overwhelm or distraction
- Organized with clear space to solve & answer
- Engaging graphics, themed problems, & fun facts

## Don’t wait, get started helping your learners master word problems today!

© Differentiated Teaching | Back to the Blog

## 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.

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## Grade 6 Math Circles Intro to Functions - Problem Set

For Questions 1–4, it can be helpful to organise your answers into a table like this:

\(x\) | \(-3\) | \(-2\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) |
---|---|---|---|---|---|---|---|

\(f(x) = x + 3\) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |

If an answer is undefined, you can leave your answer as “undefined” or “DNE” (which stands for “Does Not Exist”).

For an extra challenge in Questions 1–3, try finding the range of each function!

Evaluate each function for \(x = -3, \, x = -2, \, x = -1, \, x = 0, \, x = 1, \, x = 2,\) and \(x = 3\) . Find the domain of each function.

\(f(x) = x - 2\)

\(g(x) = 3x - 5\)

\(h(x) = -x + 25\)

\(j(x) = \frac{x + 5}{2}\)

\(k(x) = \frac{1}{4}x\)

\(l(x) = 100 - 10x\)

\(f(x) = x^2 + 2\)

\(g(x) = \frac{x^2}{2}\)

\(h(x) = -x^2\)

\(j(x) = 2x^2\)

\(k(x) = 0.5x^2 + x\)

\(l(x) = x^2 + 4x + 3\)

\(f(x) = x^3\)

\(g(x) = x^4\)

\(h(x) = x^5\)

\(f(x) = \frac{1}{x + 1}\)

\(g(x) = \frac{3}{2x}\)

\(h(x) = \frac{x}{x - 4}\)

\(j(x) = \frac{x+1}{x+2}\)

\(k(x) = \frac{5x}{5x + 2}\)

\(l(x) = \frac{x^2}{x}\)

The cost of a taxi ride is a base rate of $3.50 plus $1.50 per kilometre travelled.

Express the cost of a taxi as a function. Use \(C\) as the function name (to represent “Cost”), and use \(d\) as the variable name (to represent “distance”).

Calculate the cost of a 10km trip.

Calculate the cost of a 175km trip.

What is the domain of the function \(C(d)\) ?

What is the range of the function \(C(d)\) ?

At a particular buffet restaurant, it costs each person $26 to eat dinner. The restaurant also charges a fee of $0.30 for every 100g of leftover food at the end of the meal.

Express the total cost of a meal as a function. Use \(C\) as the function name (to represent “Cost”), and use \(f\) as the variable name (to represent “food”).

Calculate the total cost of a meal, where the person leaves 100g of leftover food.

Calculate the total cost of a meal, where the person leaves no leftover food.

Calculate the total cost of a meal, where the person leaves 670g of leftover food.

What is the domain of the function \(C(f)\) ?

What is the range of the function \(C(f)\) ?

A farmer is planning to purchase some straight fencing to build an enclosed pasture for their chickens. Each metre of fencing costs $10 to purchase and install.

Construct a function that takes in the farmer’s budget, which is the amount of money they plan to spend purchasing fencing, and outputs the maximum area of the pasture that could be built. Use \(A\) as the function name (to represent “Area”), and use \(b\) as the variable name (to represent “budget”). (Hint: The area of the pasture can be maximised by building it in the shape of a square.)

What is the area of the largest pasture that could be constructed with a budget of $200?

What is the area of the largest pasture that could be constructed with a budget of $1000?

What is the domain of the function \(A(b)\) ?

What is the range of the function \(A(b)\) ?

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
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## 6th Grade Math Worksheets: Geometry

Geometry worksheets.

These geometry worksheets give students practice in classifying shapes, finding perimeters, surface areas and volumes of 2-3 and 3-d shapes and other grade 6 geometry topics.

Equilateral, isosceles, scalene | |

7 types of quadrilateral | |

| |

| |

| |

Sample Grade 6 Geometry Worksheet

## More geometry worksheets

Browse all of our geometry worksheets , from the basic shapes through areas and perimeters, angles, grids and 3D shapes.

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## COMMENTS

The free 6th grade math worksheets available in the library below cover a variety of sixth grade math topics including the order of operations, working with fractions and decimals, ratios, proportions, percents, exponents, factoring, word problems, and more! Each worksheet was designed specifically for 6th grade students and their unique ...

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. 6th grade math worksheets: Place value & scientific notation, multiplication & division, fractions & decimals , factoring, proportions, exponents, integers, percents, geometry ...

Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full explanations are included. Problems . Two numbers N and 16 have LCM = 48 and GCF = 8. Find N. If the area of a circle is 81pi square feet, find its circumference.

This is a comprehensive collection of free printable math worksheets for sixth grade, organized by topics such as multiplication, division, exponents, place value, algebraic thinking, decimals, measurement units, ratio, percent, prime factorization, GCF, LCM, fractions, integers, and geometry. They are randomly generated, printable from your browser, and include the answer key.

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.

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 ...

Math worksheets: Proportions word problems. Below are grade 6 math worksheets with proportions word problems. Worksheet #1 Worksheet #2. Worksheet #3. Similar: Proportions word problems - using decimals Ratio word problems.

Count on our printable 6th grade math worksheets with answer keys for a thorough practice. With strands drawn from vital math topics like ratio, multiplication, division, fractions, common factors and multiples, rational numbers, algebraic expressions, integers, one-step equations, ordered pairs in the four quadrants, and geometry skills like determining area, surface area, and volume ...

The following worksheets involve using the 6th Grade Math skills of dividing multi-digit numbers, including decimals, and solving division problems. Using these sheets will help your child learn to: divide multi-digit numbers by one and 2-digit numbers; divide decimals. Divisibility Rules Worksheets.

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 ...

The key to learning math is repetition, and our math teachers go through multiple examples. Math teachers show students step-by-step directions on how to solve these more complex problems. Students learn money, ratios, decimals, graphing, and other concepts from the 6th grade curriculum. 6th Grade Math - Understand concepts of ratio and rate ...

How to Generate an Expression. When we are generating an expression, we are taking a rule and turning it into algebra. Examples. Subtract 6 from n could be written as n - 6. Multiply d by 4 could be written as d x 4 or 4d. Add 5 to p and then double the result is written as (p + 5) x 2 or 2 (p + 5)

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.

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. Answers. PDF version.

6th grade multiplication and division worksheets, including multiplying in parts, multiplying in columns, division with remainders, long division and missing factor, divisor or dividend problems. No login required.

1. Estimate customary measurements. 2. Estimate metric measurements. 3. Convert and compare customary units. Learn sixth grade math skills for free! Choose from hundreds of topics including integers, ratios, exponents, algebra, and more. Start learning now!

Learning a consistent problem-solving approach, becoming familiar with and practicing effective problem-solving strategies, and applying these ideas in word-problem contexts help students become more effective problem solvers and mathematicians. And with Math Word Problems Made Easy: Grade 6, they just might enjoy themselves while doing so.

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. Integers worksheets for grade 6, including addition and subtraction of integers, adding and subtracting multiple integers, and multiplication and division of integers.

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Daily Problem Solving will help your 6th grade students master the skills they need to be successful with challenging word problems ... You'll receive a full week of printable Daily Problem Solving practice for your students. This format includes: Paper-saving format that fits a full week on one page; Space for student work, feedback, and self ...

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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. Show Video Lesson. Grade 6 Algebra Word Problems.

Grade 6 Math Circles Intro to Functions - Problem Set. For Questions 1-4, it can be helpful to organise your answers into a table like this:

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. 6th grade geometry worksheets, including classifying and measuring angles, classifying triangles, classifying quadrilaterals, area and perimeter, area and circumference of ...