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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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Grade 6 Math Worksheets

Related Pages Math Worksheets according to Topics Math Worksheets according to Grades Interactive Zone Grade 6 Math Lessons

Free Printable Worksheets

These free interactive math worksheets are suitable for Sixth Grade and Grade 6. Use them to practice and improve your mathematical skills.

Free Online Math Worksheets 6th Grade

Multiplication Worksheets

Multiply 2-digit by 1-digit Multiply 3-digit by 1-digit Multiply 2-digit by 2-digit Multiply 3-digit by 2-digit Multiply 3-digit by 3-digit Multiply 4-digit by 3-digit

Division Worksheets

Divide 2-digit by 1-digit Divide 3-digit by 1-digit Divide 2-digit by 2-digit Divide 3-digit by 2-digit Divide 3-digit by 3-digit Divide 4-digit by 3-digit

Order of Operations Worksheets (PEMDAS, BEDMAS)

Order of Operations (+, –) Order of Operations (parenthesis, +, –) Order of Operations (×, ÷ ) Order of Operations (parenthesis, ×, ÷) Order of Operations (×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, exponent, ×, ÷ +, –) Order of Operations (mixed) Order of Operations (mixed) Order of Operations (mixed)

Decimal Worksheets

Multiply Decimals by 10, 100, 1000 Multiply Decimals by Powers of 10 Multiply Decimals by Whole Numbers Multiply Decimals by Decimals

Divide Decimals by 10, 100, 1000 Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10 3 ) Divide Whole Numbers to give Decimal Quotients Divide Decimals by Whole Numbers (without rounding) Divide Decimals by Whole Numbers (with rounding) Divide Decimals by Decimals (with or without rounding)

Multiply Decimals by Tens (10s, 100s, 1000s) Multiply Decimals by Whole Number (1-digit) Multiply Decimals by Whole Number (Multi-digit) Multiply two Decimals (Tenths) Multiply Two Decimals (Hundredths) Multiply two Decimals (Thousandths) Divide Decimals by Ten (10s, 100s, 1000s) Division with Decimal Quotients (Tenths) Division with Decimal Quotients (Hundredths) Divide Decimals Decimal Word Problems (One-Step, Addition & Subtraction) Decimal Word Problems (Two-Step, Addition & Subtraction) Decimal Word Problems (Mixed Operations) Decimal Word Problems (Mixed Operations)

Integer Worksheets

Add Integers 2 operands Add Integers 3 operands or more Subtract Integers 2 operands Subtract Integers 3 or more operands Multiply Integers Divide Integers Add Integers 1 Digit Add Integers 2 Digits Subtract Integers 1 Digit Subtract Integers 2 Digits Multiply Integers 1 Digit Multiply Integers 2 Digits Divide Integers 1 Digit in Divisor Divide Integers 2 Digits in Divisor Integers Mixed Operations Specify your own conditions for Integer Operations Add, Subtract, Multiply, Divide, Mixed

Integers, Less & More (one less, one more) Compare Integers (use <, >, = ) Ordering Integers (increasing or decreasing order)

Adding Integers Subtracting Integers Multiplying Integers Dividing Integers Order of Operations with Integers

Exponent Worksheets

Squares with base 0-10 Squares with base 2-20 Cubes with base 0-10 Cubes with base 2-20 Evaluate Exponents Evaluate Exponents

Squares & Cubes (whole number, fraction & decimal bases) Squares & square roots Cubes & cube roots

Whole number exponents Negative whole number exponents Unit fraction exponents (positive or negative) Fractional exponents (positive or negative)

Time Worksheets

Time Conversion (weeks, days, hours, minutes, seconds) Adding and Subtracting Time Multiplying and Dividing Time Time Word Problems (Elapsed Time) Convert from 12-hr System to 24-hr System Convert from 24-hr System to 12-hr System Calculate Time Intervals in 12-hr System and 24-hr System

Fraction Worksheets

Divide Fractions by Whole Numbers Divide Whole Numbers by Fractions Divide Fractions by Fractions Divide Mixed Numbers

Add & Subtract Fractions (with common denominator & simplifying answers) Least Common Multiple or Least Common Denominator Add & Subtract Fractions (with unlike denominators & step-by-step guide) Add & Subtract Fractions (with unlike denominators) Add Fractions (mixed) Subtract Fractions (mixed)

Multiply Fractions by Whole Numbers Multiply Two Fractions Divide Whole Numbers by Fractions Divide Fractions by Whole Numbers Divide Fractions by Fractions Divide Two Fractions

Add Mixed Numbers Subtract Mixed Numbers Multiply Mixed Numbers Divide Mixed Numbers Add Mixed Numbers Subtract Mixed Numbers Multiply Mixed Numbers Divide Mixed Numbers

Fraction Word Problems Add & Subtract Fractions Fraction Word Problems Add & Subtract Mixed Numbers (One-Step) Fraction Word Problems Add & Subtract Mixed Numbers (Two-Step) Fraction Word Problems Add & Subtract Mixed Numbers (Two-Step)

Algebra Worksheets

Evaluate Expressions by Substitution Simplify Expressions by Combining Like Terms Simplify Expressions using Distributive Property Simplify Expressions using Distributive Property & Combine Like Terms

Solve One-Step Equations Solve Two-Step Equations Solve Equations by Combining Like Terms Solve Equations with the Variable on Both Sides Solve Equations by Distributive Property Solve Multi-Step Equations Solve Multi-Step Equations Solve Word Problems using Algebra

Coordinate Worksheets

Slope of a Line Slope and Intercept of a Line Midpoint Formula 1 Midpoint Formula 2 Distance Formula 1 Distance Formula 2 Activity to explore Slope and Intercept of a Line

Geometry Worksheets

Names of Polygons Give the number of sides Names of Polygons Give the names of polygons Types of Angles (Acute, Obtuse, Reflex) Angles in a Straight Line Angles at a Point Complementary Angles Supplementary Angles

Area and Perimeter of Rectangles Area and Perimeter of Rectangles Area and Perimeter of Rectangles Area and Perimeter of Parallelogram Area of Triangle Area of Parallelograms Area of Triangle and Parallelogram Area of Trapezoid Area of Shapes Area of Shaded Region (rectangles and triangles)

Circumference of Circle Area of Circle Area & Circumference of Circle Circle Problems: Radius, Diameter, Circumference, Area Circle Word Problems I Circle Word Problems II Area of shaded regions that include circles Area of figures that include circles

Surface Area Worksheets Surface Area of Cylinder Surface Area of Sphere Surface Area of Solids I Surface Area of Solids II Surface Area of Solids III Surface Area of Solids IV Surface Area of Solids V Surface Area of Cylinders & Pipes Surface Area of Cylinders & Spheres

Volume of Cylinders Volume of Sphere Volume of Prisms & Pyramids Volume of Square Pyramids Volume of Cones

Surface Area & Volume of Cubes Surface Area & Volume of Rectangular Prisms or Cuboids Surface Area & Volume of Cube Surface Area & Volume of Rectangular Prisms or Cuboids Volume & Surface Area of Cylinder Volume & Surface Area of Sphere

Ratio Worksheets

Ratio of Quantities Ratio Word Problems I Ratio Word Problems II Ratio Word Problems III Ratio Word Problems IV Ratio with Algebra

Percent Worksheets

Percents to Decimals and Fractions Percents to Fractions in Lowest Terms Percents to Fractions Fractions to Percents Fractions to Percents Decimals to Percents Percentages (What is X% of Y) Percentages (X is what % of Y) Percentages (X is Y% of what) Percent of a Number Finding Percent Finding the Base

Convert Decimals to Fractions Convert Decimals to Mixed Numbers Convert Repeating Decimals to Fractions

Convert Fractions to Decimals (denominator 10, 100, or 1000) Convert Mixed Numbers to Decimals (denominator 10, 100, or 1000)

Convert Fractions to Decimals (use equivalent fractions) Convert Fractions to Decimals (use long division) Convert Fractions to Repeating Decimals (recurring decimals)

Decimals to Percents Percents to Decimals Fractions to Percents Percents to Fractions

Percentage of a Number or Part (30% of 60 = ___ ) Find the Base or Total (20% of ___ = 18) Find the Percent or Rate (___% of 50 = 25)

Increase a Number by a Percentage Decrease a Number by a Percentage

Percentage Increase Worksheet Percentage Decrease Worksheet

Statistics Worksheets

Mode Median Mean Range Mean, Median & Mode Mean, Median & Mode Find the possible values for the Median Given the Mean, find the missing number(s) in a set Word problems that involve the Mean Word problems that involve the Mean

Probability Worksheets

Probability Problems Complementary Probability Probability Word Problems Probability & Geometry Mutually Exclusive Probability Independent Events Probability Dependent Events Probability

Divide (2-digit divisors), Divide (3-digit divisors), Order of Operations (PEMDAS)

Division with Decimal Quotients, Multiply Two Decimals, Divide Two Decimals, Decimals and Fractions, Decimal Word Problems

Add Integers, Subtract Integers, Multiply Integers, Divide Integers

Squares, Cubes, Evaluate Exponents

Convert Time, Add and Subtract Time, Multiply and Divide Time, 12-hr and 24-hr System, Elapsed Time, Time Word Problems

Add Fractions, Subtract Fractions, Multiply Fractions, Divide Fractions, Add Mixed Numbers, Subtract Mixed Numbers, Multiply Mixed Numbers, Divide Mixed Numbers, Fraction Word Problems

Add and Subtract Like Terms, Distributive Property, Solve One-Step Algebra Equations, Solve Two-Step Algebra Equations, Solve Equations involving Like Terms

Slope and Intercept of a Line, Distance between Two Points, Midpoint of Two Points

Types of Angles, Number of sides of Polygons, Names of Polygons, Perimeter and Area (Rectangles), Perimeter and Area (Triangles), Perimeter and Area (Parallelogram), Perimeter and Area (Trapezoids), Circumference and Area (Circles), Volume of Cubes, Volume of Rectangular Prisms, Volume of Spheres, Volume of Cylinders, Volume of Square Pyramids, Surface Area of Cubes, Surface Area of Rectangular Prisms, Surface Area of Spheres, Surface Area of Cylinders, Surface Area of Square Pyramids

Ratio, Proportion, Percent

Mean, Median, Mode, Range, Statistics Word Problems

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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


















































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Daily Math Word Problems - Grade 6 (Worksheets)

Updated:  17 Apr 2024

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

Non-Editable:  PDF

Pages:  6 Pages

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Daily Math Word Problems - Grade 6 (Worksheets) teaching resource

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 out using a variety of methods.

An answer sheet has been included.

Use this resource in conjunction with the Daily Math Problems PowerPoint :

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  • 6th Grade Math
  • Solving word problems

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

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

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

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

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

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

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

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

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Download free worksheets, grade 6 math topics.

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Multiplication

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  • Operations with integers
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  • Problems solving
  • Ratio & proportions
  • Percentages
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  • Consumer math
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  • Geometry measurement
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  • Probability

Grade 6 Math Word Problems: Tips, Tricks, and Answers - How do you estimate to solve word problems

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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GRADE 6 MATH QUESTIONS WITH ANSWERS

Question 1 :

The sum of (-12) and (5) is

(A) 6         (B) 8         (C) -7

Question 2 :

The perimeter of the equilateral triangle is 18. Find the length of each

(A) 5           (B) 4           (C) 6

Question 3 :

How to express 5 x 5 x 5 using exponent?

(A) 10 3          (B) 5 3           (C) 2 3

Question 4 :

What is the value of 0 10

(A) 0         (B) 1         (C) 2

Question 5 :

A father is 30 years older than his son, and one year ago he was four times as old as his son. Find the father’s present ages.

(A) 53           (B) 12        (C) 41

Question 6 :

A perimeter of a square is 20 inches.Find the side length of the square.

(A) 10 inch        (B) 4 inch         (C) 5 inch

Question 7 :

A triangle has sides of lengths 19, 3 and 18 meters. What type of triangle is it ?

(A) Equilateral           (B)  Right           (C) Scalene

Question 8 :

The measure of an angle is 77°. What is the measure of a supplementary angle ?

(A) 105°           (B) 103°           (C) 50°

Question 9 :

Find the 21 st term in the sequence 2, 4, 6, 8 . . .

(A) 10      (B) 42         (C) 20

Question 10 :

A train is traveling at the rate of 1 mile per 1 minute and 20 seconds. If the train continues at this rate, how many miles will it travel in one hour?

(A) 10 miles        (B) 15 miles         (C) 45 miles 

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Advanced addition and subtraction exercises.

Our grade 6 addition and subtraction worksheets focus on missing addend  & missing minuend/subtrahend problems with large numbers ; essentially providing additional computational practice problems.

1,267+__+ 27 + 5 =1,862
171,490 - ___ = 23

math problem solving questions for grade 6

Sample Grade 6 Addition & Subtraction Worksheet

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  5. Grade 6 Math, 2nd Grade Worksheets, Science Worksheets, Printable

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  6. Grade 6 MATHEMATICS FINAL EXAM (REVISION QUESTIONS & ANSWERS) LESSON 5

COMMENTS

  1. 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.

  2. 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 ...

  3. 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 ...

  4. 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.

  5. Maths word Problems With Solutions for Grade 6

    Solutions to Word Problems. Two numbers N and 16 have LCM = 48 and GCF = 8. Find N. Solution. The product of two integers is equal to the product of their LCM and GCF. Hence. 16 × N = 48 × 8. N = 48 × 8 / 16 = 24. If the area of a circle is 81? square feet, find its circumference.

  6. 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 ...

  7. 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.

  8. 6th Grade Math

    Learn sixth grade math—ratios, exponents, long division, negative numbers, geometry, statistics, and more. ... Evaluating expressions with variables word problems; Variables & expressions: Quiz 1; ... Community questions. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit ...

  9. IXL

    Test prep. Improve your math knowledge with free questions in "Multi-step word problems" and thousands of other math skills.

  10. Math Worksheets Grade 6 (Solutions, Interactive, Online)

    Please submit your feedback or enquiries via our Feedback page. Free math worksheets suitable for Grade 6, solutions, interactive, online, 6th grade. Order of Operations (PEMDAS), Multiply Decimals, Divide Decimals, Add, Subtract, Multiply, and Divide Integers, Evaluate Exponents, Fractions and Mixed Numbers, Solve Algebra Equations, Slope and ...

  11. 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 browser, and include the answer key.

  12. 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 ...

  13. Grade 6 Math Word Problems with Answers

    8 = Sum of 6 numbers/6. 6(8) = Sum of 6 numbers. Sum of 6 numbers = 48. If 7th term is added with this total, its average will become 10. Let x be the 7th term (48 + x)/7 = 10. 48 + x = 70. x = 70 - 48. x = 22 So, the answer is 22. Problem 6 : Find the number of prime factors of 6 10 × 7 17 × 55 27

  14. 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.

  15. Grade 6

    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 ...

  16. Grade 6 Math Problems with Solutions

    Equations in One Variable, questions , including word problems, with detailed solutions and explanations on algebraic expressions. Fractions and Mixed Numbers - Grade 6. Also detailed solutions and full explanations are included. fractions in maths, explain fractions through several examples with detailed solutions including calculators.

  17. GRADE 6 MATH QUESTIONS WITH ANSWERS

    Grade 6 Math Questions with Answers - Practice questions with solution. GRADE 6 MATH QUESTIONS WITH ANSWERS. Question 1 : The sum of (-12) and (5) is (A) 6 (B) 8 (C) -7. Solution. Question 2 : The perimeter of the equilateral triangle is 18. ... Problems on Solving Logarithmic Equations. Jun 24, 24 05:48 PM.

  18. 50+ Mixed Operation Word Problems worksheets for 6th Grade on ...

    Mixed Operation Word Problems: Discover a collection of free printable worksheets for Grade 6 math teachers, focusing on solving word problems that involve addition, subtraction, multiplication, and division. Enhance your students' problem-solving skills and mathematical understanding. grade 6 Mixed Operation Word Problems.

  19. Grade 6 Addition & Subtraction 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 addition and subtraction worksheets including missing addend and missing minuend or subtrahend problems.

  20. Mathematics Question of the Day

    Math and Brain Games. Mathematics Question Database. For K-12 kids, teachers and parents. We may use Cookies. OK. Link To Us Twitter Facebook. Home; Games; Questions; Login: Pass: Join! Show Ads. Hide Ads About Ads. Mathematics Question of the Day Grade 6 Geometry (Solid), General Help . Calculate the volume of the cuboid. A. 10. B. 24. C. 32 ...

  21. Grade 6 Word Problems

    Find other quizzes for Mathematics and more on Quizizz for free! Grade 6 Word Problems quiz for 6th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... What is the first step in solving the equation: 2x+30=189. Divide by 2. Subtract 30 from both sides. Add 30 to both sides. Multiply both sides by 2. 13. Multiple ...

  22. Grade 6 Math Skills Practice

    Grade 6 Math Skills Practice. Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8. High School Geometry High School Statistics Algebra 1 Algebra 2. If you log in we can remember which skills you have passed. Each question is a chance to learn. Take your time, use a pencil and paper to help. Try to pass 2 skills a day, and it is good ...

  23. 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.

  24. Full-Length SAT Suite Practice Tests

    Find full-length practice tests on Bluebook™ as well as downloadable paper (nonadaptive) practice tests to help you prepare for the SAT, PSAT/NMSQT, PSAT 10, and PSAT 8/9.