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Proportions word problems

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Math worksheets: Proportions word problems

Below are grade 6 math worksheets with proportions word problems.

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MATH Worksheets 4 Kids

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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!

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Explore 4,600+ Sixth Grade Math Worksheets

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

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).

pdf 1

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.

printable 1

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!

exercise 1

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.

worksheet 1

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.

practice 1

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

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

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

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

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.

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

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

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

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

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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Math word Problems With Answers for Grade 6

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.

  • 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.
  • Find the greatest common factor of 24, 40 and 60.
  • In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
  • If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
  • Find k if 64 ÷ k = 4.
  • Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
  • What is x if x + 2y = 10 and y = 3?
  • A telephone company charges initially $0.50 and then $0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
  • A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
  • A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
  • A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
  • A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape.
  • A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
  • A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
  • The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
  • John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
  • Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
  • A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?

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  • A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
  • Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
  • Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?
  • The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distance will the dog have travelled when Harry and Kate meet each other?

Answers to the Above Questions

  • a) 13:12 b)12:25
  • 0.50 + N * 0.11
  • 4.5 gallons
  • 450 centimeters squared
  • 108 cubic centimeters
  • 1250 meters/minute
  • Carla:5 years, Jim: 6 years, Peter: 19 years.
  • 3000 meters

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Grade 6 whole number worksheets: Roman numerals, Place Value, Spelling, Add & Subtract

Hello math lovers! This article is prepared to sharpen 6 th graders' skills in whole numbers mastery in a unique way. We have selected some fantastic Grade 6 whole number worksheets from Mathskills4kids.com covering topics like Roman numerals, Place Value, Spelling, Add & Subtract , etc.

The different components of the Grade 6 whole number worksheets you’ll find in this article include:

Understanding Roman numerals

Mastering place value in whole numbers, spelling rules for grade 6 whole number worksheets, addition strategies for grade 6 whole number worksheets, subtraction techniques for grade 6 whole number worksheets, common challenges and misconceptions in grade 6 whole number worksheets.

  • Tips for effectively practicing Grade 6 whole number worksheets
  • Additional resources for Grade 6 whole number worksheets
  • Conclusion: Unleash your potential with Grade 6 whole number worksheets

Demystifying Grade 6 whole number worksheets: Unleash your potential with Roman numerals, place value, spelling, addition, and subtraction

Welcome to the world of demystifying Grade 6 Whole Number Worksheets , where the mysteries of Roman numerals, place value, spelling, addition, and subtraction are unraveled to unleash your full potential . Whether you're a student looking to conquer these fundamental concepts or a teacher seeking engaging resources to captivate your students' attention, you've come to the right place. This article aims at

In this comprehensive guide, we'll break down the complexities of Roman numerals, delve into the depths of place value, master the art of spelling, and explore the intricacies of addition and subtraction. With our carefully crafted worksheets and expert guidance, your 6 th Grade students will understand these topics profoundly and develop the skills and confidence needed to excel in mathematics.

Get ready to embark on an exciting journey of learning and discovery as we demystify Grade 6 Whole Number Worksheets together. Let's dive in and unlock your mathematical prowess!

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Grade 6 whole number worksheets: Roman numerals, Place Value, Spelling, Add & Subtract - The place value of digits in whole numbers

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Understanding Roman numerals enhances students’ number sense skills and lets them realize that numbers can look different in several forms and remain equal.

Roman numerals are a system of writing numbers that use letters instead of digits. For example, the number 14 is written as XIV in Roman numerals. Roman numerals often represent dates, centuries, chapters, or ordinal numbers.

To read and write Roman numerals, we need to know the values of the letters and how they are combined. Here are the basic rules:

  • The letters I, V, X, L, C, D, and M represent the values 1, 5, 10, 50, 100, 500, and 1000 respectively.
  • If a smaller value is placed before a larger one, it is subtracted from the larger one. For example, IV means 4 (5 - 1), and IX means 9 (10 - 1).
  • If a smaller value is placed after a larger one, it is added to the larger one. For example, VI means 6 (5 + 1), and XI means 11 (10 + 1).
  • We can repeat a letter up to three times in a row to add its value. For example, III means 3 (1 + 1 + 1) and XXX means 30 (10 + 10 + 10).
  • We cannot repeat a letter more than three times in a row. To write larger numbers, we need to use different combinations of letters. For example, to write 40, you cannot use XXXX, but you can use XL (50 - 10).

To practice reading and writing Roman numerals with your learners, you can use this online converter: https://www.rapidtables.com/convert/number/roman-numerals-converter.html .

Before mastering place value in whole numbers , let’s determine what it means. Place value is the value of each digit in a number based on its position. For example, in the number 3572, digit 3 has a place value of 1000, digit 5 has a place value of 500, digit 7 has a place value of 70, and digit 2 has a place value of 1.

Place value is essential in math because it helps us compare, order, round, and perform operations on whole numbers. To master place value in whole numbers, students need to know how to:

  • Identify the place value of each digit in a number
  • Write numbers in standard form (using digits), expanded form (using place values), and word form (using words)
  • Compare and order numbers using symbols (<, >, =) or words (less than, greater than, equal to)
  • Round numbers to the nearest ten, hundred, thousand, etc.
  • Use place value charts and base-ten blocks to represent and manipulate numbers

Spelling rules are the guidelines that help us spell words correctly. Spelling rules are fundamental when we write numbers in word form. Here are some spelling rules for Grade 6 whole number worksheets :

  • Use hyphens (-) to connect two-digit numbers from twenty-one to ninety-nine
  • Do not use hyphens for multiples of ten (twenty, thirty,...) or for hundred or thousand
  • Use commas (,) to separate groups of three digits from right to left
  • Use "and" to connect hundreds and tens, or ones
  • Use ordinal numbers (first,...) when indicating position or order
  • Capitalize ordinal numbers when they start a sentence or are part of a title

Here are some examples of spelling numbers correctly:

  • The number 45 is spelled forty-five
  • The number 100 is spelled one hundred
  • The number 3572 is spelled three thousand five hundred seventy-two
  • The number 2,496,381 is spelled two million four hundred ninety-six thousand three hundred eighty-one.
  • The number 753rd is spelled seven hundred fifty-third
  • The number 1st is spelled first

Sample of 5th-Grade Number Sense and Place Value Questions

To give you a better idea of the types of questions your child may encounter in 5th-grade math, here are some sample questions that assess number sense and place value skills :

  • What is the place value of the digit 2 in 2,345?
  • Round the number 6,732 to the nearest hundred.
  • What is the value of the digit 8 in 8,765?
  • Compare the numbers 4,589 and 4,895. Which number is greater? How do you know?
  • What is the place value of the digit 1 in 1,234?
  • Write the expanded form of the number 3,419.
  • What is the place value of the digit 9 in 9,876?

These questions require students to apply their knowledge of number sense and place value to solve problems and make sense of numbers. Your child can develop fluency and confidence in these essential mathematical skills by practicing similar questions.

Addition is the operation of combining two or more numbers to get a larger number. Addition is also called sum or total. To perform addition on whole numbers, it is essential to know how to:

  • Align the numbers by their place values
  • Add the digits in each place value from right to left
  • Regroup or carry over if the sum of the digits is more than 9
  • Write the final answer below the line

Here are some addition strategies for Grade 6 whole number worksheets :

  • Use mental math to add small numbers quickly and accurately
  • Use estimation to check the reasonableness of your answer
  • Use properties of addition to simplify the calculation
  • Use column addition to add large numbers vertically
  • Use partial sums to add large numbers horizontally

Here are some examples of using addition strategies:

  • To add 7 + 8, we can use mental math to recall that 7 + 7 = 14, so 7 + 8 = 14 + 1 = 15
  • To add 426 + 698, we can use estimation and round each number to the nearest hundred: 426 ≈ 400 and 698 ≈ 700, so 426 + 698 ≈ 400 + 700 = 1100. Then compare our answer with the estimate and see if it makes sense.
  • To add 426 + 698, we can use properties of addition and rearrange the numbers: 426 + 698 = (400 + 700) + (20 + 90) + (6 + 8) = 1100 + 110 + 14 = 1100. This way, we can add easier numbers first and then combine them.

6th Grade Math whole numbers worksheets - addition in columns example

Then we can add the digits in each place value from right to left and regroup if necessary:

6th Grade Math whole numbers worksheets - addition in columns example with answer

To add 426 + 698, we can use partial sums and write the numbers horizontally:

426 + 698 =

Then we can add each place value separately and write the partial sums below:

400 +700 = 1100

20 +90 =110

Finally, we can add the partial sums and write the final answer below:

1100 + 110 + 14 = 1224

Subtraction is the inverse operation of addition. It means finding the difference between two numbers by taking away one number from another. For example, 8 - 3 = 5 means taking away 3 from 8 and getting 5 as the difference.

There are different techniques for subtracting whole numbers , depending on the size and complexity of the numbers involved. Here are some of the most common techniques:

To subtract 52 from 86, we need to borrow a ten from the tens place and add it to the ones place, making it 16. Then we can subtract 2 from 16 and get 14, and subtract 5 from 7 and get 2. The final answer is 34.

Then we can subtract the ones: 4 - 7 = -3 and the tens: 60 - 30 = 30. To get the final answer, we will add -3 to 30, equivalent to subtracting 3 from 30. The final answer is 27.

  • Subtracting using a number line : This technique involves using a number line to visualize the subtraction process. For example, to subtract 15 from 25, we can start at 25 and move 15 units to the left on the number line, landing at 10. The final answer is 10.
  • Subtracting by using mental math : This technique involves using strategies such as rounding, estimating, or using known facts to subtract quickly and easily. For example, to subtract 29 from 100, we can round up 29 to 30 and subtract it from 100, getting 70 as an estimate. Then we can adjust the estimate by adding the difference between 29 and 30, which is 1. The final answer is 71.

To perform subtraction on whole numbers, it is important to know how to:

  • Subtract the digits in each place value from right to left
  • Regroup or borrow if the digit in the minuend (the number being subtracted from) is smaller than the digit in the subtrahend (the number being subtracted)

Here are some subtraction techniques that your 6th Graders can use with whole numbers:

  • Use mental math to subtract small numbers quickly and accurately
  • Use properties of subtraction to simplify the calculation
  • Use column subtraction to subtract large numbers vertically
  • Use partial differences to subtract large numbers horizontally

Grade 6 is crucial for developing 6 th graders’ mathematical skills and confidence. They will learn how to work with whole numbers in different ways, such as using Roman numerals, place value, spelling, addition, and subtraction . However, students may also face challenges and misconceptions that can hinder their progress and understanding. Here are some of the most common challenges and misconceptions in Grade 6 whole number worksheets and how to overcome them.

However, some students may need clarification on Roman numerals because they are unfamiliar with the rules and symbols. To overcome this challenge, students need to learn the basic symbols and their values, such as I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1000.

They also need to learn how to combine these symbols to form larger numbers, such as placing a smaller symbol before a larger one to subtract its value (e.g., IV = 4) or placing a smaller symbol after a larger one to add its value (e.g., VI = 6).

They can practice reading and writing Roman numerals using Grade 6 whole number worksheets that provide examples and exercises.

Place value is essential because it helps us compare, order, round, and estimate numbers. It also helps us perform operations such as addition and subtraction with regrouping or borrowing. However, some students may think place value is unimportant and can be ignored. They may write numbers without paying attention to the position of each digit or misuse commas.

To overcome this misconception, students need to understand the concept of the base-ten system, which means that each place value is ten times larger than the one to its right. They also need to practice writing numbers in standard form (e.g., 1234), expanded form (e.g., 1000 + 200 + 30 + 4), and word form (e.g., one thousand two hundred thirty-four). They can use Grade 6 whole number worksheets that provide examples and exercises on place value.

Spelling numbers is useful because it helps us communicate clearly and avoid confusion or ambiguity. However, some students may think spelling numbers is easy and does not require practice. They may make mistakes such as spelling eleven as eleventeen, twenty as twenteen, or forty as fourty.

To overcome this challenge, students need to learn the spelling rules and patterns for different numbers, such as the ones ending with -teen (e.g., thirteen), -ty (e.g., thirty), or -hundred (e.g., three hundred). They will also learn how to spell compound numbers (e.g., twenty-one) and large numbers (e.g., one million). However, they can use Mathskills4kids’ Grade 6 whole number worksheets that provide examples and exercises on spelling numbers.

Addition and subtraction are essential because they help us solve problems involving quantities, measurements, money, time, or change. Some students may think addition and subtraction are simple and do not require strategies. They may rely on memorizing facts or counting on their fingers without understanding the concepts or methods behind them.

To overcome this challenge, students need to learn different strategies for adding and subtracting whole numbers, such as using mental math (e.g., adding or subtracting multiples of ten), using properties of operations (e.g., commutative or associative property), using algorithms (e.g., standard or partial-sums method), or using models (e.g., base-ten blocks or number lines).

You can use Mathskills4kids’ Grade 6 whole number worksheets that provide examples and exercises on addition and subtraction.

Tips for effectively practicing Grade 6 whole number

One of the best ways to help 6 th graders master Grade 6 whole numbers is to ensure that they practice regularly with worksheets that challenge their skills and reinforce their understanding. Here are some tips for effectively practicing Grade 6 whole numbers :

  • Review the concepts and rules of Grade 6 whole numbers before you start . For example, students should know how to convert between different forms of numbers, such as decimals, fractions, and Roman numerals, and how to use the order of operations to simplify expressions.
  • Choose worksheets that match your student’s level and goals . Some students may not want to waste time on problems that are too easy or hard. They may want to focus on topics they need to improve, such as place value, spelling, addition, or subtraction.
  • Check students’ answers and help them learn from their mistakes . Don't just mark students’ answers as right or wrong. Try to help them understand why they got them right or wrong. If they made a mistake, review their steps and rules and see where they went wrong. If they got it right, make sure they can explain how they solved it and why their answer makes sense.
  • Practice with a timer and a calculator . Mathskills4kids’ Grade 6 whole number worksheets are noted for accuracy, speed, and efficiency. Students want to solve problems quickly and correctly without relying on a calculator. To improve their speed and confidence, try to set a time limit for each worksheet and use a calculator only when necessary.
  • Have fun and reward yourself . Practicing Grade 6 whole number concepts doesn't have to be tedious or stressful. You can make it more enjoyable by choosing worksheets that interest your 6 th graders, such as puzzles, games, or word problems.

You can also reward your students for completing a worksheet or reaching a goal, such as taking a break, watching a video, or eating a snack.

Bonus: Additional resources for Grade 6 whole number worksheets practice

If you want to learn additional resources for Grade 6 whole number worksheets practice , here are some valuable resources that you can check out:

  • Math is Fun : This website offers clear explanations, examples, and interactive activities for various topics in Grade 6 whole numbers, such as Roman numerals, place value, spelling, addition, and subtraction. You can also find quizzes and games to test your students’ knowledge while they have fun. Visit https://www.mathsisfun.com/numbers/index.html .
  • Khan Academy : This website provides video lessons, exercises, and quizzes for different skills and standards in Grade 6 math, including whole numbers. Grade 6 students can watch videos to learn new concepts or review old ones, practice with exercises that adapt to their level and give feedback, and take quizzes to measure their progress and identify gaps. Visit https://www.khanacademy.org/math/cc-sixth-grade-math .
  • Math Worksheets 4 Kids : This website offers a variety of printable worksheets for Grade 6 whole number topics, such as Roman numerals, place value, spelling, addition, and subtraction. You can choose from different difficulty levels and formats, such as multiple choice, fill-in-the-blanks, or word problems. You can also find answer keys and worked out solutions for each worksheet. Visit https://www.mathworksheets4kids.com/grade6.php .

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

Grade 6 whole number is an important topic that builds the foundation for higher-level math skills and concepts. Practicing regularly with worksheets that challenge 6th graders’ skills and reinforce their understanding can improve their accuracy, speed, and confidence in solving whole number problems. They can also have fun and learn new things along the way.

Happy learning!

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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.

Convert fractions to percentages Picture

  • Converting Fractions to Percentages

Convert Percent to Fraction Image

  • 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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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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Math Word Problems - Printable Math-word-problems Worksheets Grade 6 - 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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Unit 1: Ratios

Unit 2: arithmetic with rational numbers, unit 3: rates and percentages, unit 4: exponents and order of operations, unit 5: negative numbers, unit 6: variables & expressions, unit 7: equations & inequalities, unit 8: plane figures, unit 9: coordinate plane, unit 10: 3d figures, unit 11: data and statistics.

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Community Corner

Each newsletter we will post a question and share responses/feedback from the previous question. 

Don't miss this opportunity to share your answers! We would love to hear from you! Please fill out the Google Form below, and we will share it with all of our families in the next newsletter.   

GATEWAY Math/STEM

Students always ask “Why do I need to know this?” Making real world connections with math and science can increase student engagement.  What real world connections do you and your student make at home with math and science? Click here to share your answer!  

GATEWAY ELA/FPS

How does your family determine the best way to solve big, important family concerns? Do you use any sort of tool or strategic method for making big family decisions? Do you simply go by gut instinct, or do you use a methodical process like the FPS “evaluation matrix” that your young future problem solver has been learning to use? Click here to share your answer!  

From the Desk of Mrs. Andrews

Tier 2 math and science news.

Students in Tier 2 Math & STEM have various opportunities to explore their interests and learn something new-- a balancing-the-equation basketball game, videos on the engineering behind Olympic wheelchairs, studies on exceptional but not-well-known mathematicians, and more!

Tier 3 Advanced Math News

Grade 6 Advanced Math

Students created stunning stained-glass art on Plexiglass that is now hanging from our classroom windows. They designed and painted, but not before they drew their design on graph paper, found the slope of lines, and used the distance formula to find lengths between coordinates. Our next unit is studying relationships between angles and lines-- a preview of 10th grade Geometry!

Grade 7 Advanced Math

Your child might come home telling you they are earning money and paying rent in math class, because they are! Students chose to study personal finance, so they are working in a classroom economy and studying credit, debit, taxes and interest. An employee of Cape Cod 5 is joining us in late February to discuss bank accounts!

Tier 3 STEM News

Grade 6 STEM

Grade 6 GATEWAY scientists are exploring neuroscience and learning about the human brain. We will study the parts and function of the brain, discover how different stimuli influence brain function, and research forms of brain damage.

Grade 7 STEM

Grade 7 STEM students completed a detailed study of fractals, and are now exploring the Law of Conservation of Matter. They will perform two lab experiments to prove the law, as well as question loss of mass, volume, and percent changes in tested materials. 

From the Desk of Mrs. Contrino

Tier 2 , grades 6 and 7 ela .

Our Tier 2 ELA Google Classroom offers many interesting writing activities and problem solving challenges. Each month, the Tier 2 Google Classroom offers new choices and opportunities for students to showcase their interests, opinions, and ideas through various writing prompts and creative explorations. February’s writing assignment provides an opportunity for students to write a poem about peace that will be entered in a prestigious Cape-wide poetry contest sponsored by The Veterans for Peace Cape Cod Chapter.

Grade 6 Advanced ELA

The 6th graders are currently reading  The London Eye Mystery written by Siobhan Dowd. This fascinating mystery follows the adventures of a sister/brother detective duo, while also teaching readers about famous historical landmarks, architecture, and other cultural aspects of one of the world’s great cities - London, England. Will our unlikely hero, Ted Spark, who is a rather unusual, highly intelligent and outspoken 12-year-old with Autism, be able to solve this complex missing person case before it’s too late? The 6th graders will know the answer to that question by the time you read this newsletter! The 6th graders are also working on a creative writing piece based on a painting, The Wise Children , by British artist Frances Turner. They will be crafting original short stories, with a focus on properly formatted dialogue.

Grade 7 Advanced ELA

The 7th graders have just finished reading, analyzing, and discussing the novel The Book Thief by Markus Zusak. The story centers around Liesel, a girl growing up in Germany during World War II. She steals books, learns to read, and ultimately finds comfort and power in her developing mastery of words. This stunning tale of adolescence is narrated in a completely surprising and unique manner, and it is told in a poetic format that is both gorgeous and devastating to the reader. As we read this outstanding historical fiction novel, we have also been researching and discussing many of the disturbing events that occurred during this horrific time in human history, including The Holocaust. We will cap off our study of The Book Thief by traveling over to the Knight Theater at BHS to watch the film adaptation of the novel. Presently, the students are working on a writing piece that will reflect their own personal analysis and connections to the characters and events of The Book Thief.

Grade 6 Future Problem Solving

Our 6th Grade Future Problem Solvers have gained a solid understanding of Step One: Identifying and Developing Challenges within a Future Scene. Throughout January and February we will be learning the toughest step in the problem solving process - 

Step Two: Choosing and Writing a relevant, impactful, and focused Underlying Problem. 

Our problem solvers will be learning to evaluate all 16 of the challenges that were developed by the team during Step One, and then collaboratively decide which challenge they would like to adapt and develop into the team’s Underlying Problem, or UP. Step Two is the most critical step of the process, as well as the most difficult step to master. If Step Two goes wrong for a team, then Steps Three, Four, Five, and Six will go off the rails! 

Over the past several weeks, the problem solvers have been learning and practicing how to write an Underlying Problem (UP) in a very specific format. We will also be examining exemplars of UPs that are good, bad, complete, and incomplete, so that the teams can gain a better understanding of the je ne sais quoi that makes for a successful UP. 

A strong UP is neither too narrow nor too broad, while having the greatest potential for positive impact on the Future Scene by addressing the most serious, pressing issue that has been presented. If an FPS team creates a strong UP that is relevant, impactful, and focused, then the solving of that Underlying Problem (which is Step Three - coming to an FPS classroom near you in February!) in 16 creative, futuristic, and plausible ways will be a totally exciting, fun, and rewarding experience for our novice problem solvers!

Grade 7 Future Problem Solving

Since last September, all six of our 7th Grade FPS Teams have been working very hard learning and applying their knowledge of the 6 Step Problem Solving Process as they participated in both of the 2023 International Practice Problems this past October and December. 

Now it’s time for these 24 young problem solvers to put their knowledge to the ultimate test as they compete in their first-ever Qualifying Problem (QP) on February 8, 2024! Teams that garner the top scores in the QP round will earn the distinction of becoming one of the top teams in all of Massachusetts, and they will be invited to compete at the Massachusetts FPS State Bowl at Clark University in Worcester on Saturday, March 30.

The Qualifying Problem topic that students from all around the world will be grappling with is  Antarctica: the highest, driest, coldest continent. It has no permanent population and is governed by a collection of agreements between fifty-four countries. The Antarctic Treaty System designates the entire continent and surrounding waters for scientific endeavors, bans military activity, and promotes environmental research and preservation. Although Antarctica remains the most remote place on Earth, it is highly regulated and heavily impacted by activities around the globe. Parts of the continent are polluted by sewage, discarded machinery, fuel products, and rubbish. Antarctica is thought to be rich in minerals and resources, though an ‘indefinite’ ban on mining is in place through 2048. Antarctica also holds over 60% of the Earth’s fresh water in an ice sheet that contains 90% of the Earth’s total ice volume. As global temperatures rise, these are breaking apart and melting faster, endangering local wildlife and entire ecosystems. Without a consistent population or a sovereign state, Antarctica possesses a unique space within political, economic, and environmental crossroads. How can Antarctica be sustainably utilized yet simultaneously preserved to best benefit our global population?

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  5. Easy 6Th Grade Math Problems

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  6. Math Problem Solving Worksheets For Grade 6

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COMMENTS

  1. PDF Grade 6

    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.

  2. Sixth grade math worksheets

    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 ...

  3. Free 6th Grade Math Worksheets—Printable w/ Answers

    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 ...

  4. Free Math Worksheets for 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 ...

  5. Grade 6 Math Worksheet: Proportions word problems

    Grade 6 math worksheets on solving proportions word problems. Free pdf worksheets from K5 Learning's online reading and math program. ... Math worksheets: Proportions word problems. ... Open PDF. Worksheet #1 Worksheet #2. Worksheet #3. Become a Member. These worksheets are available to members only. Join K5 to save time, skip ads and access ...

  6. 6th Grade Printable Math Worksheets Pdf with Answers and Explanations

    These 6 th Grade Printable Math Worksheets Pdf with Answers and Explanations align with the common core standards and thoroughly review the essential skills and concepts for 6 th -grade math. There are fun and engaging. They also have colorful graphics, word problems, exciting exercises, and challenges to motivate your students.

  7. 6th Grade Math Worksheets

    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.

  8. 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 ...

  9. Expressions and Equations 6th Grade

    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)

  10. PDF Math (worksheets taken from enVision Mathematics, Grade 6)

    The strategies for solving are the same, but the problems are less intuitive ... G r a d e : 6 S u b j e c t: Math ( from enVision Mathematics, Common Core, 2020, Grade 6) T o p i c : I ndependent/Dependent Variables and Using Patterns to Connect Scenarios, Equations, Graphs, and Tables. W h a t Y o u r S tu d e n t i s L e a r n i n g : ...

  11. PDF Grade 6 Problem-Solving Lessons Introduction

    Nine problem-solving lessons are provided for Grade 6. The problem-solving lessons can be taught at any point in the grade after the unit indicated in the table that follows. We recommend using as many problem-solving lessons throughout the year as your class time allows, and suggest using them in the order in which they are indicated in the table.

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

    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.

  13. Math word Problems With Answers for Grade 6

    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. Find the greatest common factor of 24, 40 and 60. In a given school, there are 240 boys and 260 girls.

  14. Grade 6 whole number worksheets: Roman numerals, Place Value, Spelling

    Grade 6 whole number is an important topic that builds the foundation for higher-level math skills and concepts. Practicing regularly with worksheets that challenge 6th graders' skills and reinforce their understanding can improve their accuracy, speed, and confidence in solving whole number problems.

  15. Daily Math Word Problems

    A set of 20 problem-solving questions suited to grade 6 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 math word problems, identifying the important information and how they can work it ...

  16. 6th grade (Illustrative Mathematics)

    Unit 6: Expressions and equations. 0/3000 Mastery points. Lesson 1: Tape diagrams and equations Lesson 2: Truth and equations Lesson 3: Staying in balance Lesson 4: Practice solving equations and representing situations with equations Lesson 5: A new way to interpret a over b Extra practice: Equations Lesson 6: Write expressions where letters ...

  17. 6th Grade Percent Word Problems

    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.

  18. Free 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 ...

  19. Equations & inequalities

    6th grade 11 units · 148 skills. Unit 1 Ratios. Unit 2 Arithmetic with rational numbers. Unit 3 Rates and percentages. Unit 4 Exponents and order of operations. Unit 5 Negative numbers. Unit 6 Variables & expressions. Unit 7 Equations & inequalities. Unit 8 Plane figures.

  20. Ready Mathematics Practice and Problem Solving Grade 6

    Now, with expert-verified solutions from Ready Mathematics Practice and Problem Solving Grade 6 , you'll learn how to solve your toughest homework problems. Our resource for Ready Mathematics Practice and Problem Solving Grade 6 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step.

  21. 6th Grade Math

    6th grade 11 units · 148 skills. Unit 1 Ratios. Unit 2 Arithmetic with rational numbers. Unit 3 Rates and percentages. Unit 4 Exponents and order of operations. Unit 5 Negative numbers. Unit 6 Variables & expressions. Unit 7 Equations & inequalities. Unit 8 Plane figures.

  22. Gateway / February 2024 BIS Newsletter

    Grade 6 Advanced Math. Students created stunning stained-glass art on Plexiglass that is now hanging from our classroom windows. They designed and painted, but not before they drew their design on graph paper, found the slope of lines, and used the distance formula to find lengths between coordinates. ... Grade 6 Future Problem Solving. Our 6th ...