problem solving worksheets for grade 6

Child Login

• Kindergarten
• Number charts
• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even
• Prime and Composite
• Roman Numerals
• Ordinal Numbers
• In and Out Boxes
• Number System Conversions
• More Number Sense Worksheets
• Size Comparison
• Measuring Length
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature
• More Measurement Worksheets
• Writing Checks
• Profit and Loss
• Simple Interest
• Compound Interest
• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem-and-leaf Plot
• Box-and-whisker Plot
• Permutation and Combination
• Probability
• Venn Diagram
• More Statistics Worksheets
• Shapes - 2D
• Shapes - 3D
• Lines, Rays and Line Segments
• Points, Lines and Planes
• Transformation
• Quadrilateral
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel, Perpendicular and Intersecting Lines
• Scale Factor
• Surface Area
• Pythagorean Theorem
• More Geometry Worksheets
• Converting between Fractions and Decimals
• Significant Figures
• Convert between Fractions, Decimals, and Percents
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Squaring Numbers
• Square Roots
• Scientific Notations
• Speed, Distance, and Time
• Absolute Value
• More Pre-Algebra Worksheets
• Translating Algebraic Phrases
• Evaluating Algebraic Expressions
• Simplifying Algebraic Expressions
• Algebraic Identities
• Quadratic Equations
• Systems of Equations
• Polynomials
• Inequalities
• Sequence and Series
• Complex Numbers
• More Algebra Worksheets
• Trigonometry
• Math Workbooks
• English Language Arts
• Summer Review Packets
• Social Studies
• Holidays and Events

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.

Become a Member

Membership Information

Printing Help

How to Use Online Worksheets

How to Use Printable Worksheets

Privacy Policy

Terms of Use

Copyright © 2024 - Math Worksheets 4 Kids

This is a members-only feature!

Grade 6 Math Worksheets

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

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

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

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

• Word Problems
• G6 Word Problems

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

• INTRODUCTION
• Practice word problems
• Related contents
• Fun 6th Grade math activities to facilitate effective math teaching and learning skills

Get more contents on Sixth Grade...

6th grade math word problems curriculum.

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

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

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

• Addition And Subtraction Online Practice And Worksheets
• Add and subtract whole numbers word problems
• Adding and subtracting decimals word problems
• Divide Fractions
• Divide fractions 6th grade
• Divide fractions and mixed numbers 6th grade
• Divide fractions by whole numbers in recipes 6th grade
• Divide numbers and unit fractions 6th grade
• Divide decimal by whole number word problems
• Dividing whole numbers ending in zeros word problems
• Divisibility rule skills for Grade 6
• Division of numbers word problems
• Fractions And Mixed Numbers
• Adding and subtracting fractions with like denominators word problems
• Adding And Subtracting Fractions With Unlike Denominators Word Problems
• Adding and subtracting with mixed numbers word problems
• Comparing fractions word problems
• Dividing fractions and mixed numbers word problems
• Fractions of a number word problems
• Multiplying fractions word problems
• Multiplying mixed numbers word problems
• Understanding Fractions As Division Word Problems
• Understanding fractions word problems
• Mixed Operations
• Add subtract multiply or divide two fractions
• Adding subtracting multiplying and dividing decimals word problems
• Adding subtracting multiplying and dividing fractions word problems
• Adding subtracting multiplying and dividing whole numbers word problems
• Multiplication
• Multiplication of whole numbers word problems
• Multiply numbers ending in zeros word problems
• Multiply three or more numbers word problems
• Numbers Theory
• GCF and LCM word problems – Grade 6
• Greatest common factor word problems
• Lowest common multiple word problems
• Solving And Estimation
• Estimation word problems
• Multi step word problems
• Whole Numbers
• Write numbers from digits to words 6th grade online practice
• Write numbers from words to digits in grade 6

How 6th Grade math word problems enhance kids' math skills?

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

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

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

WHAT’S THIS ALL ABOUT?

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

PRIVACY POLICY

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

• Add And Subtract Fractions
• Comparing And Ordering
• Estimating Comparing Ordering Rounding
• Fractions Worksheets And Online Exercises With Answers
• Subtraction
• Second Grade
• Third Grade
• Fourth Grade
• Fifth Grade
• Sixth Grade

SUBSCRIBE TO OUR NEWSLETTER

Use of contents.

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

Report a review

For more description, you can contact us here

Math Worksheets Land

Math Worksheets For All Ages

• Math Topics
• Grade Levels

Grade 6 Math Worksheets

Grade 6 is where we really start to do actual algebra. Not only solving for x, but using variables in the form of an expression. The main pre-algebra skill is to understand how to use variables to manipulate equations and expressions. Ratios and proportions really dominate the start of the year; although I have seen many teachers tackle the algebra portion of the curriculum first. Place value within a decimal setting are looked at often. This pivots to help students understand the relationship between a stated as a fraction, decimal, or percentage. Statistics is used heavily at this grade level, but mostly to understand data and the way it way be displayed. The year normally ends off with plotting ordered pairs on a coordinate graph. To enhance your learning environment, we also have 6th Grade Math Posters . Below you will find links to literally hundreds of printable worksheets and lessons for 6th graders.

Ratios & Proportions Worksheets

• The Concept of Ratios (6.RP.A.1) - We introduce students to the concept of comparing one thing to another.
• Unit Rates and Ratios : The Relationship (6.RP.A.2) - We show how these two differ and relate.
• Ratio and Rates Word Problems (6.RP.A.3) - Word based problems that include rates and/or a ratio.
• Tape Diagrams / Bar Models (6.RP.A.3) - You will find these to be much more common on standard math assessments these days.
• Unit Rates with Speed and Price Word Problems (6.RP.A.3b) - These are specifically related to speed and pricing calculations.
• Percentage as a Rate per Hundred (6.RP.A.3c) - We show how rate and percentages are related and their proper usage.
• Find Percentages of Numbers (6.RP.A.3c) - A highly underrated skill in today's world.
• Ratios and Units of Measurement (6.RP.A.3d) -Converting measures between units is directly related to understanding ratios.
• Finding Percentages By Using Decimal Method (6.RP.A.3) - This relates decimals to percentages.
• Finding Percentages By Using Fraction Method (6.RP.A.3) - A less popular method, but helpful under the right conditions.
• Finding Percentages By Using Ratio Method (6.RP.A.3) - This is the most popular way of applying this.
• Finding the Percentage of a Decimal Value (6.RP.A.3) - We also include word and story problems for you to work with.
• How Much Greater Is The Percentage Value (6.RP.A.3) - This takes value comparisons to a new level by having you explain the degree in which something is greater than.

The Number System Worksheets

• Interpret and Compute Quotients of Fractions (6.NS.A.1) - This is where we start to see the concept and usage of cross multiplication.
• Fractions of Integers (6.NS.A.1) - This is a helpful skill for personal finance.
• Long Division of Large Numbers (6.NS.B.2) - These values can get pretty cumbersome, if you don’t curtail your values.
• Basic Math Operations with Decimals (6.NS.B.3) - We go through the operations and usages with decimals.
• Addition of Decimals (6.NS.B.3) - The key here is to properly align your values before you begin.
• Adding and Subtracting Decimals and Fractions (6.NS.B.3) - I usually will yield to using decimal values, if I have my choice.
• Greatest Common Factor and Least Common Multiple (6.NS.B.4) - When you are trying simplify a fraction or series of fractions, we always come back to GCF and LCM.
• Factors of an Integer (6.NS.B.4) - This is a skill that applies to so many different areas of math.
• Prime Factorization and Factor Trees (6.NS.B.4) - These help you quickly find common factors between values.
• Understanding Positive and Negative Numbers (6.NS.C.5) - This is best explained with the help of a numbers line.
• Using Number Lines In Math (6.NS.C.5) - These are super helpful tools.
• Understand A Rational Number As A Point (6.NS.C.6a) - It should be explained that this applies to the value in linear terms.
• Understand Signs of Numbers in Ordered Pairs (6.NS.C.6b) - We make our way towards using the coordinate plane.
• Coordinate Graphing and Position (6.NS.C.6.C) - The best way to introduce this is with a healthy and friendly battleship game.
• Coordinate Planes (6.NS.C.6.C) - These are used in just about every type of navigation on Earth.
• Quadrants (6.NS.C.6.C) - We discuss the concept and uses of the four quadrant system.
• Inequalities and Numbers Lines (6.NS.C.7a) - Students often get tripped up on remembering whether an inequality diagram should be opened or closed.
• Ordering For Rational Numbers (6.NS.C.7b) - This is not as easy as it sounds.
• Working with Absolute Value (6.NS.C.7c) - When put in the context of the coordinate plane or a number line, absolute value has many uses.
• Absolute Value in Word Problems (6.NS.C.7d) - You will often only see word problems that relate to temperature across the Internet. We are much more creative than that.
• Using Graphs To Solve Real World Problems (6.NS.C.8) - This is what it is all about and why we put so much time into math.

Expressions and Equations Worksheets

• Evaluating Numerical Expressions with Exponents (6.EE.A.1) - The goal is to isolate the value that has an exponent and work with it early on in the problem.
• Making Words With Calculator Fun (6.EE.A.1) - Come on, this is fun! We had to make a place for it on our site.
• Comparing Exponents (6.EE.A.1) - We are really just considering the end values.
• PEMDAS with Fractions, Decimals, and Exponents (6.EE.1) - The order of operations is difficult enough, but when you throw in different forms of values it can get frustrating.
• Evaluating Written Expressions (6.EE.A.2a) - All you need to do is make sense and apply the expression.
• Using Tables and Data Charts With Expressions (6.EE.A.2a) - When used properly, they can have a great deal of influence of how we view or interpret data.
• Expressions That Use Math Terms (6.EE.A.2b) - We help break those expressions down and don’t get too tripped up on terms that we come across.
• Expressions Used In Word Problems (6.EE.A.2c) - These can come in handy with statistics and probability problems.
• Basic Operations and Generating Equivalent Expressions (6.EE.A.3) - We work through rewriting and reforming expressions.
• Creating and Identifying Equivalent Expressions (6.EE.A.3) - This is where the foundations of computer programming start appearing in the math curriculum.
• Solve One-Variable Equations and Inequalities (6.EE.A.4) - It is all about getting a value to a single side.
• Combine Like Terms and Expand Terms (6.EE.A.4) - This can really simplify your life.
• Solving Equations and Inequalities (6.EE.B.5) - Understanding the differences between equations and inequalities is helpful.
• Using Variables to Represent Numbers (6.EE.B.6) - We explain why we do this and then how to approach it.
• Solve Real-world Mathematical Problems With Expressions (6.EE.B.7) - Expressions can really make understanding complex systems an easy task.
• Single Step Algebra Equation Solving (6.EE.B.7) - As basic as it gets.
• Conditional Expressions (6.EE.B.7) - Only under certain conditions can this help you make a change.
• Missing Factors Multiplication (6.EE.B.7) - This helps you put the factors together in one.
• Solving Simple Equations With Fractions and Decimals (6.EE.B.7) - The same fundamentals apply regardless of the number format.
• Single Step Algebra Problems (Addition and Subtraction Based) (6.EE.B.7) - You basically just need to reverse the sign as you move it across to the other side.
• Single Step Algebra Problems (Division and Multiplication Based) (6.EE.B.7) - It is not a huge leap from the last worksheet series.
• Inequality Constraint or Condition Word Problems (6.EE.B.8) - We these we are trying to gauge the optimal condition.
• Using Variables to Represent Two Quantities (6.EE.C.9) - Students get confused when they first see two variables in any setting.

Geometry Worksheets

• Area of Irregular Shapes (6.G.A.1) - This builds off of the concept of working fitting regular shapes into those odd shapes.
• Find The Volume Of A Right Rectangular Prism (6.G.A.2) - The measure of height is usually where students go wrong here.
• Polygons in the Coordinate Plane (6.G.A.3) - The applications of this type of math is infinite it today's world.
• Using Nets to Understand 3-D Figures (6.G.A.4) - This takes a good spatial memory.
• Finding the Area of Composite Shapes (6.G.A.4) - You will find multiple ways to approach these problems. Choose the form that seems to work best for you.

Statistics & Probability Worksheets

• Statistical Variability in Data (6.SP.A.1) - This measure gives you an idea of how much the data dances around.
• Mean, Median, and Range From Data Displays (6.SP.A.2) - We are working here without hard data.
• Stem and Leaf Plots (Related to 6.SP.A.2 (Not specifically part of standard)) - This is a form that short hand notation that gives you another option for displaying data.
• The Measure of Center of Data Sets (6.SP.A.3) - How tightly compact is your data?
• Summarizing and Interpreting Data Sets (6.SP.A.3) - If you want to frame a good argument, this is where you want to present this.
• Understanding Data Displays (6.SP.B.4) - There are many different ways to show off data.
• Math Patterns on Number Lines (6.SP.B.4) - Have the ability to recognize patterns is the goal for this whole section.
• Summarizing Numerical Data Sets (6.SP.B.5a & b) - This helps you form an explanation for the values you are seeing.
• The Attributes of Data and Units of Measure (6.SP.B.5b) - Understanding how to approach data and units of value.
• Measures of Mean, Median, Mode, and Range (6.SP.B.5c) - The measures of central tendency.
• Interquartile Range (6.SP.B.5c) - This is a measure of the middle values of your data set.
• Mean Absolute Deviation (6.SP.B.5c) - How far from the average does your data span.
• Frequency and Data Distribution (6.SP.B.5d) - This lets you know how common a data piece is.

What Math Skills Should Students Know Before They Reach Grade 6?

Understanding what students need to learn in grade 6 starts with building off of what they already have mastered. At this point students should have a solid understanding of their math operations. They should be able to find the product of larger numbers. They should have a solid foundation rooted in decimals. They should be able to compare and round decimals. They should be comfortable performing math operations with both decimals (to hundredths). When it comes to fractions, they should have mastered finding a common denominator in addition to adding, subtracting, and comparing fractional values. When evaluating data sets grade 6 students should be able to create and understand how to appraise bar and line graphs. I also find that there is some level of crossover from other subjects, they are very comfortable with Venn diagrams at this level. Their geometry skills are ready to be heightened, but they know their way around a protractor. They should also be able to sort geometric shapes and be able to classify triangles, quadrilaterals, and commonly studied polygons. These core skills will provide them the foundation required to move to more advanced skills that they will tackle in grade 6. The best advice we could give to students is to be conscious of math endurance. Having patience is a key habit with this material.

Get Access to Answers, Tests, and Worksheets

Become a paid member and get:

• Answer keys to everything
• Unlimited access - All Grades
• 64,000 printable Common Core worksheets, quizzes, and tests
• Used by 1000s of teachers!

Worksheets By Email:

Get Our Free Email Now!

We send out a monthly email of all our new free worksheets. Just tell us your email above. We hate spam! We will never sell or rent your email.

Thanks and Don't Forget To Tell Your Friends!

I would appreciate everyone letting me know if you find any errors. I'm getting a little older these days and my eyes are going. Please contact me, to let me know. I'll fix it ASAP.

• Privacy Policy
• Other Education Resource

© MathWorksheetsLand.com, All Rights Reserved

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

6th Grade Math Worksheets Hub Page

Welcome to our 6th Grade Math Worksheets hub page.

This is a new hub page and currently under development - so there will be more 6th grade resources on the way soon!

Here you will find a wide range of free printable worksheets that follow the standards for 6th Grade .

Come and take a look at our adding subtracting fractions page, or our 6th grade math games page. Looking for some help with algebra? We have some basic algebra worksheets too.

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

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

• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

6th Grade Math Learning

Here are the standards for the end of the year for 6th Grade.

• Find the greatest common factor of whole numbers up to 100.
• Find the least common multiple of two whole numbers up to 12.
• Recognise opposite signs of numbers (positive and negative) as being on opposite sides of 0 on a number line.
• Recognise that the opposite of the opposite of a number is the number itself e.g. -(-7) = 7
• Understand a rational number as a point on a number line.
• Find and position rational numbers on a range of number lines.
• Understand the absolute value of a number.
• Write, interpret and explain statements about rational numbers, such as -3°C > -7°C
• Write and evaluate expressions involving whole number exponents.
• Fluently divide multi-digit numbers.
• Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm.
• Find the percentage of a quantity as a rate per 100.
• Divide fractions by fractions using visual models.
• Solve problems involving dividing fractions by fractions.
• Understand the concept of ratio and use ratio language.
• Understand the concept of a unit rate a/b associated with a ratio a:b.
• Use ratio and rate reasoning to solve a range of problems.
• Write, read, and evaluate expressions in which letters stand for numbers
• Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
• Evaluate expressions at specific values of the variables of different formulas.
• Apply the properties of operations to generate equivalent expressions, e.g. 10 + 5y = 5(2 + y).
• Reason about and solve one-variable equations and inequalities.
• Write an inequality of the for x<c or x>c to represent a constraint or condition.
• Represent and analyze quantitative relationships between dependent and independent variables.
• Develop understanding of statistical variability
• Summarize and describe distributions
• Display numerical data in plots on a number line, including dot plots, histograms, and box plots
• Find the median and the mean of a set of data.
• Find the interquartile range and/or mean absolute deviation and describe patterns in data.
• Find the area of right triangles, other triangles, special quadrilaterals, and polygons.
• Find the volume of a right rectangular prism with fractional edge lengths
• Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms.
• Draw polygons in the coordinate plane given coordinates for the vertices.
• Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
• Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
• Represent three-dimensional figures using nets made up of rectangles and triangles.
• Use the nets to find the surface area of these figures

6th Grade Math Worksheets

On this page you will find link to our range of math worksheets for 6th grade.

Quicklinks to 6th Grade ...

• 6th Grade Place Value
• 6th Grade Number Sense Zone
• Addition and Subtraction

Word Problems Zone

Fractions Percentages Ratio Zone

• Percentages Zone
• Algebra Zone
• Geometry Worksheets
• Area & Perimeter Worksheets
• Converting Measures Worksheets

Data Analysis Zone

• Fun Zone: games and puzzles

Fall Edition Math Grab Packs - out now!

Our fall math grab packs are out now.

There is a different grab pack for each grade.

Free to all of our newsletter subscribers!

• Fall Edition Math Grab Packs

6th Grade Place Value Zone

Ordering numbers, including negative numbers, decimals to 3dp and rational numbers.

The sheets in this section involve negative numbers, decimals to 3 decimal places, and a range of rational numbers.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Decimals to 3dp
• Ordering Negative Numbers -10 to 10
• Ordering and Comparing Rational Numbers

Rounding Decimals and Significant Figures

• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges
• Rounding Significant Figures Worksheets

6th Grade Number Sense Worksheets

Here you will find a range of 6th Grade Number Worksheets covering skills connected to Numbers and the Number System.

Using these sheets will help your child to:

• understand how to use inequalities including where you have two values
• understand how to use exponents (powers) of a number;
• find the greatest common factors of two numbers up to 100
• find the least common multiple of two numbers up to 12.
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• understand and use absolute value

Inequalities

• Inequalities on a Number Line
• Writing Inequalities from Word Problems

Factors and Multiples 6th Grade Worksheets

• Greatest Common Factor Worksheets
• Least Common Multiple Worksheets
• Factor Tree Worksheets (easier)
• Prime Factorization Worksheets (harder)

PEMDAS and Order of Operations Worksheets

• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets 5th Grade
• 6th Grade Order of Operations
• Absolute Value Worksheets

Roman Numerals Worksheets

• Roman Numerals worksheets

6th Grade Mental Math Quizzes

Here you will find a range of printable mental math 6th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Mental Math Worksheets 6th Grade

Top of Page

4 Operations Zone

Decimal counting worksheets.

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• find number bonds to 1;
• Counting By Decimals
• Decimal Number Bonds to 1

6th Grade Addition & Subtraction Worksheets

The following 6th grade math worksheets involve using addition and subtraction with a range of different number types.

• add and subtract decimals up to 3dp;
• add a columns of multi-digit numbers, including decimals.
• add and subtract positive and negative integers

The addition worksheet generator below will create a range of addition problems in columns, including decimals.

• Addition With Regrouping Worksheet Generator
• Subtraction With Regrouping Worksheet Generator
• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)
• Adding and Subtracting Negative Numbers (randomly generated)

6th Grade Multiplication Worksheets

Here you will find a range of Free Printable 5th Grade Multiplication Worksheets.

The following worksheets involve using the 6th Grade Math skills of multiplying multi-digit numbers, including decimals.

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals by a whole number;
• multiply positive and negative numbers.
• Multiplying Decimals by Whole Numbers
• Negative Number Multiplication (randomly generated)
• Multiply and Divide Negative Numbers (randomly generated)

6th Grade Division Worksheets

Here you will find a range of Free Printable 6th Grade Division 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
• Decimal Division Facts
• Long Division of Decimal Numbers
• Dividing Negative Numbers (randomly generated)

6th Grade Math Problems

Here you will find our selection of free 6th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.
• 6th Grade Percent Word Problems
• Fractions Worksheets
• Percentage Worksheets
• Ratio Worksheets

6th Grade Fraction Worksheets

Here you will find a range of free printable 6th Grade Fraction Worksheets.

At 6th Grade level, children are introduced to adding and subtracting fractions with different denominators. They know and can use equivalent fractions, and can multiply and divide fractions by whole numbers, as well as mixed numbers.

• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Multiplying Fractions Worksheets
• Multiplying Mixed Fractions
• How to Divide Fractions
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• How to Divide Mixed Numbers
• Multiplying and Dividing Fractions (Randomly Generated)
• Add Subtract Multiply Divide Fractions (Randomly Generated)
• Free Printable Fraction Riddles (harder)
• Fractions Decimals Percents Worksheets

6th Grade Percentage Worksheets

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Basic Percentage Word Problems (easier)
• 6th Grade Percent Word Problems (harder)

6th Grade Ratio and Unit Rate Worksheets

These 5th grade ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets
• The Definition of Unit Rate
• Unit Rate Problems 6th Grade

6th Grade Algebra Worksheets

If you are looking for some 6th grade algebra worksheets to use with your child to help them understand simple equations then try our selection of basic algebra worksheets.

There are a range of 6th grade math worksheets covering the following concepts:

• Generate the algebra - and write your own algebraic expressions;
• Calculate the algebra - work out the value of different expressions;
• Solve the algebra - find the value of the term in the equation.
• Use the distributive property to factorize and expand different expressions
• 6th Grade Distributive Property Worksheets
• Expressions and Equations 6th Grade
• Basic Algebra Worksheets (6th & 7th Grade)
• Input and Output Function Tables with Algebraic Functions

Geometry & Measurement Zone

Quicklinks to ...

6th Grade Geometry Worksheets

Here is our range of 6th grade Geometry worksheets.

• Geometry Nets Information and Worksheets
• Parts of a Circle Worksheets
• Coordinate Plane Worksheets (All 4 Quadrants)

6th Grade Area & Perimeter Worksheets

• Area of Parallelogram Worksheets
• Area of Quadrilaterals
• Area of Right Triangle
• Square Inside a Circle Area Support Page
• Surface Area Worksheet 6th Grade

6th Grade Measurement & Conversion Worksheets

• Metric Conversion Worksheets (4th to 6th Grade)
• Convert Customary Units of Length Worksheets (randomly generated)
• Convert Customary Units of Capacity Worksheets (randomly generated)
• Temperature Conversion Worksheets

Data & Statistics Worksheets

Find links to our 6th grade Statistics worksheets below.

Using these 6th grade math worksheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• find the median of a set of data.
• create and interpret line plots.
• create and interpret dot plots and box plots.
• Median Worksheets
• Mean Worksheets
• Mode and Range Worksheets
• Mean Median Mode and Range Worksheets
• Line Graphs 6th Grade Worksheets
• Dot Plot Worksheets
• Box Plot Worksheets

Fun Zone: Puzzles, Games and Riddles

• 6th Grade Math Games

Here you will find a range of free printable 6th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 6 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

• Algebra Math Games
• 6th Grade Math Puzzles

Here you will find a range of printable 6th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition and subtraction facts, including fractions and decimals;
• develop their understanding of negative numbers;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

6th Grade Math Quiz

Here is our collection of Math Quizzes for 6th grade.

Quizzes are a great way to practise math skills or to asses knowledge.

• 6th Grade Math Quiz page

How to Print or Save these sheets 🖶

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

• How to Print support

Subscribe to Math Salamanders News

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

• Newsletter Signup

Return from 6th Grade Math Worksheets to Math Salamanders Homepage

Math-Salamanders.com

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

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

New! Comments

TOP OF PAGE

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

• Privacy Policy
• Copyright Policy

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

• 6th Grade Math
• Solving word problems

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

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

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

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

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

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

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

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

BROWSE THE WEBSITE

Download free worksheets, grade 6 math topics.

• Whole numbers

Multiplication

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

Start practice on Sixth Grade here

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

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

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

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

Strategies for solving Grade 6 math word problems

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

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

Breaking down complex word problems into manageable steps

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

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

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

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

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

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

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

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

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

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

You can rewrite it as:

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

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

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

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

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

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

Common types of grade 6 math word problems

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

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

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

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

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

Using diagrams and models to solve math word problems

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

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

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

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

Answer : 6 cups of flour

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

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

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

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

Answer : $15

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

Sale price = Original price - Discount

Discount = Percent off x Original price

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

Discount = 40% x $25

Discount = 0.4 x $25

Discount = $10

Sale price = $25 - $10

Sale price = $15

Tips for improving problem-solving skills in Grade 6 math

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

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

Bonus: additional resources to reinforce Grade 6 math problem skills

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

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

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

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

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

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

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

Happy problem-solving!

WHAT’S THIS ALL ABOUT?

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

Subtraction

Measurement

Telling Time

Problem Solving

Data & Graphs

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

SUBSCRIBE TO OUR NEWSLETTER

Privacy policy.

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

USE OF CONTENTS

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

Free Printable Fraction Word Problems Worksheets for 6th Grade

Fraction Word Problems: Discover a collection of free printable Math worksheets for Grade 6 students, focusing on solving real-life scenarios involving fractions. Enhance learning and problem-solving skills with Quizizz's resources.

Explore Fraction Word Problems Worksheets by Grades

• kindergarten

Explore Other Subject Worksheets for grade 6

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

Explore printable Fraction Word Problems worksheets for 6th Grade

Fraction Word Problems worksheets for Grade 6 are an essential resource for teachers looking to help their students master the challenging world of fractions in math. These worksheets provide a variety of math word problems that incorporate fractions, allowing students to practice their skills in a fun and engaging way. Teachers can use these worksheets to supplement their lesson plans, provide extra practice for struggling students, or even as a form of assessment to gauge their students' understanding of the material. With a wide range of topics covered, from addition and subtraction of fractions to more complex problems involving ratios and proportions, these Grade 6 worksheets are a valuable tool for any math teacher looking to enhance their students' learning experience.

In addition to Fraction Word Problems worksheets for Grade 6, teachers can also utilize Quizizz, an interactive platform that offers a variety of educational resources, including quizzes, games, and other engaging activities. Quizizz allows teachers to create custom quizzes and games based on the content they are teaching, making it a perfect complement to the worksheets they are already using in their classroom. With Quizizz, students can practice their math skills in a more interactive and enjoyable way, helping to solidify their understanding of the material. Furthermore, Quizizz provides teachers with valuable data and insights into their students' progress, allowing them to identify areas where additional support may be needed. By incorporating both Fraction Word Problems worksheets for Grade 6 and Quizizz into their lesson plans, teachers can provide a well-rounded and effective learning experience for their students.

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

Printable & online resources for educators

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

Share/Like This Page

Filter by grade.

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

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

Browse Questions

• All Subjects w/ Images (7031)
• By ELA/Literacy Standard
• By Math Standard
• All Subjects (21203)

Reading Strategies

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

• English as a Second Language ESL (4832)
• Health and Medicine (241)
• Life Skills (33)
• Math (3430)
• Physical Education (218)
• Science (5691)
• Social Studies (4242)
• Study Skills and Strategies (88)
• Technology (48)

Sixth Grade (Grade 6) Problem and Solution Questions

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

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

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

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

GRADE 6 MATH WORD PROBLEMS WITH ANSWERS

Problem 1 :

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

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

Speed of the train  =  18 km/hr 

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

  =  5 m/sec

12 minutes  =  12 (60)

=  720 seconds

Distance covered in 720 seconds  =  time taken (Speed)

  =  720(5)

  =  3600 m

So, the distance covered is 3600 m.

Problem 2 :

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

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

The average age of 30 kids is 9 years

Let x be the age of teacher 

Average age  =  Sum of  ages/Total number of ages

9  =  sum of ages of 30 kids/30

Sum of ages of 30 kids  =  30  ⋅  9

  =  270

Sum of ages of kids and teacher  =  270 + x

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

10  =  (270 + x)/31

10 (31)  =  270 + x

310  =  270 + x

x  =  310 - 270

x  =  40

So, the required age is 40 years.

Problem 3 :

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

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

Height of the cylinder  =  7 cm

Radius of the cylinder  =  3 cm

Curved surface area of cylinder  =  2 Π r h

  =  2  ⋅  (22/7)  ⋅  7  ⋅  3

  =  2  ⋅   22  ⋅  3

  =  44  ⋅  3

 =  132 cm 2

So, the answer is 132 cm 2

Problem 4 :

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

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

Cost price of a calculator  =  $350

Selling price of the calculator  =  $420

Profit  =  Selling price - Cost price

  =  420 - 350

  =  70

profit percentage  =  (profit/cost price)  ⋅  100

  =  (70/350) ⋅ 100

  =  (1/5) ⋅ 100

  =  20%

So, the answer is 20%

Problem 5 :

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

(A) 15        (B) 22        (C) 12

The average of 6 numbers is 8

Average  =  Sum of numbers/Number of terms

8  =  Sum of 6 numbers/6

6(8)  =  Sum of 6 numbers

Sum of 6 numbers  =  48

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

Let x be the 7th term

(48 + x)/7  =  10

48 + x  =  70

x  =  70 - 48

x  =  22   

So, the answer is 22.

Problem 6 :

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

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

  =  6  10  × 7  17  × 55 27

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

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

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

  =  91

So, the answer is 91.

Problem 7 :

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

(A) 27        (B) 24          (C) 22

Work done  =  Number of days  ⋅ number of men

  =  36 ⋅ 12

  =  432  ---(1)

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

432  =   Number of days ⋅ 18

Number of days  =  432 / 18

Number of days  =  24

So, the required number of days is 24.

Problem 8 :

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

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

The distance covered in both cases are same.

Time  =  Distance / Speed

T 1   =  Distance / 25

T 2   =  Distance / 4

5 hours 48 minutes  =  5   4/5  hours

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

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

  (29/5)  ⋅ (100/29)   =  Distance 

  Distance  =  20 km

Problem 9 :

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

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

Reciprocal of 3/2 is 2/3

reciprocal of 3 is 1/3

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

  =  (2 + 1)/3

  =  3/3

  =  1

So, the correct answer for this question is 1

Problem 10 :

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

(A) 2           (B) 4          (C) 3

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

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

Add 18 to 9

Divide the result by the divisor 12

Take the remainder

9 + 18  =  27

When 27 is divided by 12, the remainder is 3

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

Kindly mail your feedback to   [email protected]

We always appreciate your feedback.

© All rights reserved. onlinemath4all.com

• Sat Math Practice
• SAT Math Worksheets
• PEMDAS Rule
• BODMAS rule
• GEMDAS Order of Operations
• Math Calculators
• Transformations of Functions
• Order of rotational symmetry
• Lines of symmetry
• Compound Angles
• Quantitative Aptitude Tricks
• Trigonometric ratio table
• Word Problems
• Times Table Shortcuts
• 10th CBSE solution
• PSAT Math Preparation
• Privacy Policy
• Laws of Exponents

Recent Articles

SAT Math Resources (Videos, Concepts, Worksheets and More)

Dec 17, 24 10:13 AM

Digital SAT Math Problems and Solutions (Part - 88)

Dec 17, 24 10:07 AM

Logarithmic Equations Problems and Solutions

Dec 15, 24 08:14 AM

Reading & Math for K-5

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

Breadcrumbs

Ratio word problems

Download & Print Only $7.90

Use ratios to solve these word problems

Students can use simple ratios to solve these word problems ; the arithmetic is kept simple so as to focus on the understanding of the use of ratios.

These worksheets are available to members only.

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

What is K5?

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

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

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

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

6th Grade Logic and Problem Solving Worksheets

• Most Popular
• Most Recent

GRAPHIC ORGANIZERS

12-Digit Place-Value Charts

Help your students develop their number math skills using this 12-digit place value chart resource which extends to the…

Ruby Redfort Code-Breaking Kit

Host a Ruby Redfort event in your classroom or school library. Get your master code-crackers warmed up with some…

Equations and Inequalities

In this printable, students will practice writing equations to show inequalities.

Place Hitters

Choose the most sensible answers to math questions about a baseball game.

Daily Math Warm-Ups 617 Using Logical Reasoning for 6th Grade

This math daily warm up worksheet for grades 5 to 7 features problem-solving strategies with math problems. For this…

Daily Math Warm-Ups 618 Using Logical Reasoning for 6th Grade

Daily Math Warm-Ups 619 Using Logical Reasoning for 6th Grade

Daily Math Warm-Ups 620 Using Logical Reasoning for 6th Grade

Daily Math Warm-Ups 636 Data Analysis and Probability for 6th Grade

Daily Math Warm-Ups 637 Data Analysis and Probability for 6th Grade

Daily Math Warm-Ups 638 Data Analysis and Probability for 6th Grade

Daily Math Warm-Ups 639 Data Analysis and Probability for 6th Grade

Daily Math Warm-Ups 640 Data Analysis and Probability for 6th Grade

Daily Math Warm-Ups 536 Data Analysis and Probability for 5th Grade

This math daily warm up worksheet for grades 4 to 6 features problem-solving strategies with math problems. For this…

Daily Math Warm-Ups 537 Data Analysis and Probability for 5th Grade

Daily Math Warm-Ups 538 Data Analysis and Probability for 5th Grade

Daily Math Warm-Ups 539 Data Analysis and Probability for 5th Grade

Daily Math Warm-Ups 540 Data Analysis and Probability for 5th Grade