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problem solving with solution and answer for grade 6

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6th Grade Math Worksheets

problem solving with solution and answer for grade 6

Free 6th Grade Math Worksheets

All of the sixth grade math worksheets below are samples from the 6th Grade Math Worksheets Library on our Infinite K-8 Math Worksheet Portal .

Click any of the links below to download the corresponding 6th grade math worksheets and answer key.

โ–ถ๏ธ: Sample Worksheet Download | ๐Ÿ”’: Worksheet Only Available to Members | ๐Ÿ”ฝ Jump to a Topic:

Integers and Operations

problem solving with solution and answer for grade 6

Ratios & Percents

problem solving with solution and answer for grade 6

Fractions and Decimals

problem solving with solution and answer for grade 6

Probability

problem solving with solution and answer for grade 6

Lengths and Measurement

problem solving with solution and answer for grade 6

Exponents and Scientific Notation

problem solving with solution and answer for grade 6

Factors and Square Roots

problem solving with solution and answer for grade 6

Inequalities

problem solving with solution and answer for grade 6

Data and Central Tendency

problem solving with solution and answer for grade 6

Word Problems

problem solving with solution and answer for grade 6

Looking for engaging 6th grade math worksheets that are printable, topic-specific, and include a complete answer key? If so, youโ€™re in the right place! Welcome to the Mashup Math 6th Grade Math Worksheets Library, which includes over three hundred math worksheets for 6th graders. No matter what 6th grade math topic you are looking for, we have practice worksheets that share appropriately challenging 6th grade math problems and answers to help 6th graders to practice, learn, and explore math topics typically covered at the sixth grade level. Each worksheet is available as a printable pdf file that can also be downloaded and shared on online learning platforms such as Google Classroom.

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 learning styles and needs. By sharing math problems for 6th graders that are suitably challenging, our worksheets are an excellent tool that both teachers and parents can use to give students math learning opportunities that are productive, meaningful, and fun.

Any of the free sample 6th grade math worksheets in the library below can be shared with students at home or in the classroom for exploring and learning new math topics or practicing and reviewing previously learned topics. If you want to help your students to develop strong math skills that will allow them to succeed in middle school and beyond, then it is important to present math in a way that is fun and engaging (and not boring and repetitive).

So, what sets Mashup Mathโ€™s 6th grade math worksheets apart from all of the other free math worksheets out there? For starters, our worksheets are designed and reviewed by educators with experience teaching 6th grade math in small and large group settings. Our 6th grade math worksheets are specifically created for 6th graders and the difficulty level and number of problems are chosen to specifically meet the learning needs of 6th grade students. We believe that learning math should be fun and engaging rather than repetitive and monotonous, and so we focus on quality over quantity as our worksheets do not include excessive amounts of problems or the same question over and over again.

If this is your first experience with Mashup Math, we recommend that you scroll down and download a handful of our free 6th grade math worksheets samples and share them with your students in any setting. We sincerely believe your students will truly enjoy our math worksheets and that you will find them extremely useful.

If you would like download to our complete library of 6th grade math worksheets , then go ahead and sign-up for an annual membership plan where you will gain on-demand access to the Mashup Math K-8 Math Worksheet Portal , where members can download 1,000+ topic-specific math worksheets and answer keys for grades K-9.

Every Mashup Math worksheet is available as a printable PDF download that is extremely easy to share.

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problem solving with solution and answer for grade 6

โ–ถ๏ธ Blank Number Lines (positives and negatives)

โ–ถ๏ธ Extended Practice: Rounding Decimals and Integers

โ–ถ๏ธ Adding 4-digit numbers (vertical)

โ–ถ๏ธ Adding 5-digit numbers (vertical)

๐Ÿ”’ Adding 5 and 6-digit numbers (vertical)

โ–ถ๏ธ Adding/Subtracting 4 numbers (w/ parenthesis) (A)

๐Ÿ”’ Adding/Subtracting 4 numbers (w/ parenthesis) (B)

โ–ถ๏ธ Adding/Subtracting 5 numbers (w/ parenthesis) (A)

๐Ÿ”’ Adding/Subtracting 5 numbers (w/ parenthesis) (B)

โ–ถ๏ธ Adding/Subtracting 6 numbers (w/ parenthesis) (A)

๐Ÿ”’ Adding/Subtracting 6 numbers (w/ parenthesis) (B)

โ–ถ๏ธ Adding/Subtracting/Multiply (no parenthesis) (3-4 numbers)

๐Ÿ”’ Adding/Subtracting/Multiply (w/parenthesis) (3-4 numbers)

โ–ถ๏ธ Adding/Subtracting/Multiply (no parenthesis) (5-6 numbers)

๐Ÿ”’ Adding/Subtracting/Multiply (w/parenthesis) (5-6 numbers)

โ–ถ๏ธ Multiplying 4-digit numbers by 1-digit numbers

โ–ถ๏ธ Multiplying 5-digit numbers by 1-digit numbers

๐Ÿ”’ Multiplying 3-digit numbers by 2-digit numbers

โ–ถ๏ธ Multiplying 4-digit numbers by 2-digit numbers

โ–ถ๏ธ Multiplying 3-digit numbers by 3-digit numbers

๐Ÿ”’ Multiplying 4-digit numbers by 3-digit numbers

โ–ถ๏ธ Long division with remainders (divisors 10-25) (A)

๐Ÿ”’ Long division with remainders (divisors 10-25) (B)

โ–ถ๏ธ Long division with remainders (divisors 10-99) (A)

๐Ÿ”’ Long division with remainders (divisors 10-99) (B)

โ–ถ๏ธ Long Division Quick Practice (1 and 2-digit divisors) (A)

โ–ถ๏ธ Long Division Quick Practice (1 and 2-digit divisors) (B)

๐Ÿ”’ Long Division Quick Practice (1 and 2-digit divisors) (C)

๐Ÿ”’ Long Division Quick Practice (1 and 2-digit divisors) (D)

โ–ถ๏ธ Long division estimation (multiple choice) (A)

๐Ÿ”’ Long division estimation (multiple choice) (B)

โ–ถ๏ธ Commutative property of Multiplication (A)

๐Ÿ”’ Commutative property of Multiplication (B)

โ–ถ๏ธ Associative property of Multiplication (A)

๐Ÿ”’ Associative property of Multiplication (B)

โ–ถ๏ธ Distributive property of Multiplication (A)

๐Ÿ”’ Distributive property of Multiplication (B)

โ–ถ๏ธ Comparing integers using > or < (A)

๐Ÿ”’ Comparing integers using > or < (B)

โ–ถ๏ธ Ordering integers (A)

๐Ÿ”’ Ordering integers (B)

โ–ถ๏ธ Integers on the number line (A)

๐Ÿ”’ Integers on the number line (B)

๐Ÿ”’ Integers on the number line (C)

โ–ถ๏ธ Adding integers (2-terms) (A)

๐Ÿ”’ Adding integers (2-terms) (B)

โ–ถ๏ธ Adding integers (3-terms) (A)

๐Ÿ”’ Adding integers (3-terms) (B)

โ–ถ๏ธ Subtracting integers (numbers to 25) (A)

๐Ÿ”’ Subtracting integers (numbers to 25) (B)

โ–ถ๏ธ Subtracting integers (numbers to 100) (A)

๐Ÿ”’ Subtracting integers (numbers to 100) (B)

โ–ถ๏ธ Add/Subtract Integers Using a Number Line (A)

๐Ÿ”’ Add/Subtract Integers Using a Number Line (B)

๐Ÿ”’ Add/Subtract Integers Using a Number Line (C)

โ–ถ๏ธ Multiplying integers (A)

๐Ÿ”’ Multiplying integers (B)

โ–ถ๏ธ Multiplying integers (missing factors) (A)

๐Ÿ”’ Multiplying integers (missing factors) (B)

โ–ถ๏ธ Dividing integers (A)

๐Ÿ”’ Dividing integers (B)

โ–ถ๏ธ Dividing integers (missing factors) (A)

๐Ÿ”’ Dividing integers (missing factors) (B)

โ–ถ๏ธ Mixed multiplying and dividing integers (A)

๐Ÿ”’ Mixed multiplying and dividing integers (B)

โ–ถ๏ธ Practice with Absolute Values (A)

๐Ÿ”’ Practice with Absolute Values (B)

๐Ÿ”’ Practice with Absolute Values (C)

โ–ถ๏ธ Extra practice (order of operations up to 6 terms) (A)

๐Ÿ”’ Extra practice (order of operations up to 6 terms) (B)

โ–ถ๏ธ Extra practice (order of operations up to 6 terms) (C)

โ–ถ๏ธ Practice: Order of Operations with Exponents (A)

โ–ถ๏ธ Practice: Order of Operations with Exponents (B)

๐Ÿ”’ Practice: Order of Operations with Exponents (C)

๐Ÿ”’ Practice: Order of Operations with Exponents (D)

โ–ถ๏ธ Practice: Order of Operations with Nested Parenthesis (A)

๐Ÿ”’ Practice: Order of Operations with Nested Parenthesis (B)

๐Ÿ”’ Practice: Order of Operations with Nested Parenthesis (C)

โ–ถ๏ธ Extended Practice: Order of Operations

problem solving with solution and answer for grade 6

โ–ถ๏ธ Equivalent fractions practice (A)

โ–ถ๏ธ Equivalent fractions practice (B)

๐Ÿ”’ Equivalent fractions practice (C)

โ–ถ๏ธ Adding Fractions (common denominators) (A)

๐Ÿ”’ Adding Fractions (common denominators) (B)

โ–ถ๏ธ Subtracting Fractions (common denominators) (A)

๐Ÿ”’ Subtracting Fractions (common denominators) (B)

โ–ถ๏ธ Adding Fractions (unlike denominators) (A)

๐Ÿ”’ Adding Fractions (unlike denominators) (B)

โ–ถ๏ธ Subtracting Fractions (unlike denominators) (A)

๐Ÿ”’ Subtracting Fractions (unlike denominators) (B)

โ–ถ๏ธ Mixed Adding/Subtracting Fractions (Unlike Denominators)

โ–ถ๏ธ Adding Mixed Numbers (A)

๐Ÿ”’ Adding Mixed Numbers (B)

๐Ÿ”’ Adding Mixed Numbers (C)

โ–ถ๏ธ Adding Fractions and Mixed Numbers (A)

๐Ÿ”’ Adding Fractions and Mixed Numbers (B)

โ–ถ๏ธ Adding Fractions Extended Practice

โ–ถ๏ธ Subtracting Mixed Numbers (A)

๐Ÿ”’ Subtracting Mixed Numbers (B)

๐Ÿ”’ Subtracting Mixed Numbers (C)

โ–ถ๏ธ Subtracting Mixed Fractions from Whole Numbers (A)

๐Ÿ”’ Subtracting Mixed Fractions from Whole Numbers (B)

โ–ถ๏ธ Subtracting Fractions Extended Practice

โ–ถ๏ธ Add/Subtract Fractions and Mixed Numbers Extended Practice

โ–ถ๏ธ Converting mixed numbers to improper fractions (A)

๐Ÿ”’ Converting mixed numbers to improper fractions (B)

โ–ถ๏ธ Converting improper fractions to mixed numbers (A)

๐Ÿ”’ Converting improper fractions to mixed numbers (B)

โ–ถ๏ธ Multiplying fractions and whole numbers (A)

๐Ÿ”’ Multiplying fractions and whole numbers (B)

โ–ถ๏ธ Multiplying Fractions and Whole Numbers Extended Practice

โ–ถ๏ธ Multiplying fractions and whole numbers (missing factor) (A)

๐Ÿ”’ Multiplying fractions and whole numbers (missing factor) (B)

โ–ถ๏ธ Multiplying fractions (intermediate) (A)

๐Ÿ”’ Multiplying fractions (intermediate) (B)

โ–ถ๏ธ Multiplying fractions (missing factors) (A)

๐Ÿ”’ Multiplying fractions (missing factors) (B)

โ–ถ๏ธ Multiplying Fractions by Fractions Extended Practice

โ–ถ๏ธ Multiplying improper fractions (A)

๐Ÿ”’ Multiplying improper fractions (B)

โ–ถ๏ธ Multiplying fractions by mixed numbers (A)

๐Ÿ”’ Multiplying fractions by mixed numbers (B)

โ–ถ๏ธ Multiplying mixed numbers (A)

๐Ÿ”’ Multiplying mixed numbers (B)

โ–ถ๏ธ Divide whole numbers by fractions (A)

๐Ÿ”’ Divide whole numbers by fractions (B)

โ–ถ๏ธ Divide fractions by whole numbers (A)

๐Ÿ”’ Divide fractions by whole numbers (B)

โ–ถ๏ธ Dividing fractions (easy) (A)

๐Ÿ”’ Dividing fractions (easy) (B)

โ–ถ๏ธ Dividing fractions (intermediate) (A)

๐Ÿ”’ Dividing fractions (intermediate) (B)

โ–ถ๏ธ Dividing Fractions Extended Practice

โ–ถ๏ธ Dividing mixed numbers by fractions (A)

๐Ÿ”’ Dividing mixed numbers by fractions (B)

โ–ถ๏ธ Dividing mixed numbers by mixed numbers (A)

๐Ÿ”’ Dividing mixed numbers by mixed numbers (B)

โ–ถ๏ธ Converting fractions to decimals (A)

๐Ÿ”’ Converting fractions to decimals (B)

๐Ÿ”’ Converting fractions to decimals (C)

โ–ถ๏ธ Converting Between Fractions & Decimals Extended Practice

โ–ถ๏ธ Converting mixed numbers to decimals (A)

๐Ÿ”’ Converting mixed numbers to decimals (B)

โ–ถ๏ธ Comparing decimals >, <, or = (A)

๐Ÿ”’ Comparing decimals >, <, or = (B)

โ–ถ๏ธ Adding decimals practice (A)

๐Ÿ”’ Adding decimals practice (B)

๐Ÿ”’ Adding decimals practice (C)

โ–ถ๏ธ Decimal addition (missing number) (A)

๐Ÿ”’ Decimal addition (missing number) (B)

โ–ถ๏ธ Subtracting decimals practice (A)

๐Ÿ”’ Subtracting decimals practice (B)

๐Ÿ”’ Subtracting decimals practice (C)

โ–ถ๏ธ Decimal subtraction (missing number) (A)

๐Ÿ”’ Decimal subtraction (missing number) (B)

โ–ถ๏ธ Adding and subtracting decimals (mixed practice)

โ–ถ๏ธ Adding and Subtracting Decimals Extended Practice

โ–ถ๏ธ Multiply decimals by 10 or 100 (A)

๐Ÿ”’ Multiply decimals by 10 or 100 (B)

โ–ถ๏ธ Multiply decimals by 10, 100, or 1,000

๐Ÿ”’ Multiply 3-digit decimals by 10, 100, or 1000

โ–ถ๏ธ Multiplying Decimals by 10/100/1,000 Extended Practice

โ–ถ๏ธ Missing factors: decimals x 10, 100 or 1,000 (missing factor) (A)

๐Ÿ”’ Missing factors: decimals x 10, 100 or 1,000 (missing factor) (B)

โ–ถ๏ธ Multiplying whole numbers by decimals (1-digit)

โ–ถ๏ธ Multiplying whole numbers by decimals (2-digit)

๐Ÿ”’ Multiplying whole numbers by decimals (1 and 2-digit)

โ–ถ๏ธ Multiplying whole numbers by decimals (missing factor) (A)

๐Ÿ”’ Multiplying whole numbers by decimals (missing factor) (B)

โ–ถ๏ธ Multiplying decimals by decimals (A)

๐Ÿ”’ Multiplying decimals by decimals (B)

โ–ถ๏ธ Multiplying decimals by decimals (missing factor) (A)

๐Ÿ”’ Multiplying decimals by decimals (missing factor) (B)

โ–ถ๏ธ Dividing decimals by whole numbers (A)

๐Ÿ”’ Dividing decimals by whole numbers (B)

โ–ถ๏ธ Dividing decimals by decimals (A)

๐Ÿ”’ Dividing decimals by decimals (B)

โ–ถ๏ธ Multiplying and Dividing Decimals Extended Practice

problem solving with solution and answer for grade 6

โ–ถ๏ธ Convert between inches, feet, and yards (A)

๐Ÿ”’ Convert between inches, feet, and yards (B)

โ–ถ๏ธ Convert between centimeters, millimeters, and meters (A)

๐Ÿ”’ Convert between centimeters, millimeters, and meters (B)

โ–ถ๏ธ Convert between ounces and pounds (A)

๐Ÿ”’ Convert between ounces and pounds (B)

โ–ถ๏ธ Convert between kilograms and grams (A)

๐Ÿ”’ Convert between kilograms and grams (B)

โ–ถ๏ธ Convert between cups, pints, quarts, and gallons (A)

๐Ÿ”’ Convert between cups, pints, quarts, and gallons (B)

โ–ถ๏ธ Convert between liters and milliliters (A)

๐Ÿ”’ Convert between liters and milliliters (B)

โ–ถ๏ธ Practice reading a thermometer (Fahrenheit)

๐Ÿ”’ Practice reading a thermometer (Celsius)

โ–ถ๏ธ Converting between Fahrenheit and Celsius (A)

๐Ÿ”’ Converting between Fahrenheit and Celsius (B)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Writing exponents (A)

๐Ÿ”’ Writing exponents (B)

โ–ถ๏ธ Evaluating exponents (A)

๐Ÿ”’ Evaluating exponents (B)

โ–ถ๏ธ Powers of 10 (A)

๐Ÿ”’ Powers of 10 (B)

โ–ถ๏ธ Negative or zero exponents (A)

๐Ÿ”’ Negative or zero exponents (B)

โ–ถ๏ธ Multiplying Exponents with the Same Base (A)

๐Ÿ”’ Multiplying Exponents with the Same Base (B)

โ–ถ๏ธ Dividing Exponents with the Same Base (A)

๐Ÿ”’ Dividing Exponents with the Same Base (B)

โ–ถ๏ธ Power to a Power (A)

๐Ÿ”’ Power to a Power (B)

โ–ถ๏ธ Practice with Scientific Notation (A)

๐Ÿ”’ Practice with Scientific Notation (B)

๐Ÿ”’ Practice with Scientific Notation (C)

๐Ÿ”’ Extended Practice: Scientific Notation

problem solving with solution and answer for grade 6

โ–ถ๏ธ Identifying prime numbers (A)

๐Ÿ”’ Identifying prime numbers (B)

โ–ถ๏ธ Factoring numbers (up to 50) (A)

๐Ÿ”’ Factoring numbers (up to 50) (B)

โ–ถ๏ธ Factoring numbers (up to 100) (A)

๐Ÿ”’ Factoring numbers (up to 100) (B)

๐Ÿ”’ Factoring numbers (up to 100) (C)

โ–ถ๏ธ Finding Greatest Common Factor (GCF) (A)

๐Ÿ”’ Finding Greatest Common Factor (GCF) (B)

โ–ถ๏ธ Finding Least Common Multiple (LCM) (A)

๐Ÿ”’ Finding Least Common Multiple (LCM) (B)

โ–ถ๏ธ Extended Practice: Finding GCF and LCM

โ–ถ๏ธ Prime factor trees (A)

๐Ÿ”’ Prime factor trees (B)

๐Ÿ”’ Prime factor trees (C)

โ–ถ๏ธ Identifying prime factors (up to 50) (A)

๐Ÿ”’ Identifying prime factors (up to 50) (B)

โ–ถ๏ธ Identifying prime factors (up to 100) (A)

๐Ÿ”’ Identifying prime factors (up to 100) (B)

๐Ÿ”’ Identifying prime factors (up to 100) (C)

โ–ถ๏ธ Practice with square roots (A)

๐Ÿ”’ Practice with square roots (B)

๐Ÿ”’ Practice with square roots (C)

โ–ถ๏ธ Estimating Square Roots of Non-Perfect Squares (A)

๐Ÿ”’ Estimating Square Roots of Non-Perfect Squares (B)

โ–ถ๏ธ Simplifying Radicals (A)

๐Ÿ”’ Simplifying Radicals (B)

โ–ถ๏ธ Adding and Subtracting Radicals (A)

๐Ÿ”’ Adding and Subtracting Radicals (B)

โ–ถ๏ธ Multiplying and Dividing Radicals (A)

๐Ÿ”’ Multiplying and Dividing Radicals (B)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Making double bar graphs (A)

๐Ÿ”’ Making double bar graphs (B)

๐Ÿ”’ Making double bar graphs (C)

โ–ถ๏ธ Analyzing double bar graphs (A)

๐Ÿ”’ Analyzing double bar graphs (B)

๐Ÿ”’ Analyzing double bar graphs (C)

โ–ถ๏ธ Practice with pie charts (A)

โ–ถ๏ธ Practice with pie charts (B)

๐Ÿ”’ Practice with pie charts (C)

๐Ÿ”’ Practice with pie charts (D)

โ–ถ๏ธ Reading Line Plots (A)

๐Ÿ”’ Reading Line Plots (B)

๐Ÿ”’ Reading Line Plots (C)

โ–ถ๏ธ Making Line Plots (A)

๐Ÿ”’ Making Line Plots (B)

โ–ถ๏ธ Line Plots with Fractions (A)

๐Ÿ”’ Line Plots with Fractions (B)

โ–ถ๏ธ Reading Venn Diagrams (A)

๐Ÿ”’ Reading Venn Diagrams (B)

๐Ÿ”’ Reading Venn Diagrams (C)

โ–ถ๏ธ Blank Venn Diagram (2 circles)

โ–ถ๏ธ Blank Venn Diagram (3 circles)

โ–ถ๏ธ Making Stem-and-Lead Plots (A)

๐Ÿ”’ Making Stem-and-Lead Plots (B)

โ–ถ๏ธ Reading Stem-and-Lead Plots (A)

๐Ÿ”’ Reading Stem-and-Lead Plots (B)

โ–ถ๏ธ Drawing line graphs (A)

๐Ÿ”’ Drawing line graphs (B)

โ–ถ๏ธ Analyzing line graphs (A)

โ–ถ๏ธ Analyzing line graphs (B)

๐Ÿ”’ Analyzing line graphs (C)

๐Ÿ”’ Analyzing line graphs (D)

โ–ถ๏ธ Drawing Double Line Graphs (A)

๐Ÿ”’ Drawing Double Line Graphs (B)

โ–ถ๏ธ Analyzing Double Line Graphs (A)

๐Ÿ”’ Analyzing Double Line Graphs (B)

๐Ÿ”’ Analyzing Double Line Graphs (C)

โ–ถ๏ธ Making Box-and-Whisker Plots (A)

๐Ÿ”’ Making Box-and-Whisker Plots (B)

๐Ÿ”’ Making Box-and-Whisker Plots (C)

โ–ถ๏ธ Analyzing Box-and-Whisker Plots (A)

๐Ÿ”’ Analyzing Box-and-Whisker Plots (B)

๐Ÿ”’ Analyzing Box-and-Whisker Plots (C)

โ–ถ๏ธ Practice with Mean, Median, and Mode (A)

โ–ถ๏ธ Practice with Mean, Median, and Mode (B)

๐Ÿ”’ Practice with Mean, Median, and Mode (C)

๐Ÿ”’ Practice with Mean, Median, and Mode (D)

โ–ถ๏ธ Mean, Median, and Mode Playing Cards Activity

โ–ถ๏ธ Practice with Scatter Plots (A)

๐Ÿ”’ Practice with Scatter Plots (B)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Solving simple proportions (A)

๐Ÿ”’ Solving simple proportions (B)

๐Ÿ”’ Solving simple proportions (C)

โ–ถ๏ธ Simplifying ratios (A)

๐Ÿ”’ Simplifying ratios (B)

โ–ถ๏ธ Similar Triangles (A)

๐Ÿ”’ Similar Triangles (B)

โ–ถ๏ธ Converting between decimals and percents (A)

๐Ÿ”’ Converting between decimals and percents (B)

โ–ถ๏ธ Finding the percent of a given number (A)

๐Ÿ”’ Finding the percent of a given number (B)

๐Ÿ”’ Finding the percent of a given number (C)

โ–ถ๏ธ A is what percent of B? (A)

๐Ÿ”’ A is what percent of B? (B)

๐Ÿ”’ A is what percent of B? (C)

โ–ถ๏ธ Practice with Percents (Mixed) (A)

๐Ÿ”’ Practice with Percents (Mixed) (B)

โ–ถ๏ธ Finding percent increase/decrease (A)

๐Ÿ”’ Finding percent increase/decrease (B)

โ–ถ๏ธ Calculating Discount, Sales Tax, and Tip (A)

๐Ÿ”’ Calculating Discount, Sales Tax, and Tip (B)

๐Ÿ”’ Calculating Discount, Sales Tax, and Tip (C)

โ–ถ๏ธ Calculating Simple Interest (A)

๐Ÿ”’ Calculating Simple Interest (B)

โ–ถ๏ธ Calculating Compound Interest (A)

๐Ÿ”’ Calculating Compound Interest (B)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Probability diagrams with questions (A)

๐Ÿ”’ Probability diagrams with questions (B)

๐Ÿ”’ Probability diagrams with questions (C)

โ–ถ๏ธ Probability Practice: 6-Sided Dice (x1)

โ–ถ๏ธ Probability Practice: Spinning Wheel

๐Ÿ”’ Probability Practice: Playing Cards

โ–ถ๏ธ Probability Practice: Dart Board

๐Ÿ”’ Probability Practice: Lottery

โ–ถ๏ธ Estimating Probabilities Using Data (A)

๐Ÿ”’ Estimating Probabilities Using Data (B)

โ–ถ๏ธ Chance Experiments (Equally Likely Outcomes)

๐Ÿ”’ Chance Experiments (Unequally Likely Outcomes)

โ–ถ๏ธ Compound Probability Practice (A)

๐Ÿ”’ Compound Probability Practice (B)

โ–ถ๏ธ Probability Practice: Three Coins

๐Ÿ”’ Probability Practice: Two Dice (6-Sided)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Naming Angles (A)

๐Ÿ”’ Naming Angles (B)

โ–ถ๏ธ Angle pair relationships (A)

๐Ÿ”’ Angle pair relationships (B)

โ–ถ๏ธ Parallel lines and transversals (simple) (A)

๐Ÿ”’ Parallel lines and transversals (simple) (B)

โ–ถ๏ธ Parallel lines and transversals (algebraic) (A)

๐Ÿ”’ Parallel lines and transversals (algebraic) (B)

๐Ÿ”’ Naming Three-Dimensional Shapes

โ–ถ๏ธ Extended Practice: Identifying three-dimensional figures

โ–ถ๏ธ Drawing lines of symmetry (A)

๐Ÿ”’ Drawing lines of symmetry (B)

โ–ถ๏ธ Find the perimeter (A)

๐Ÿ”’ Find the perimeter (B)

๐Ÿ”’ Find the perimeter (C)

โ–ถ๏ธ Find the area of each rectangle (A)

๐Ÿ”’ Find the area of each rectangle (B)

๐Ÿ”’ Find the area of each rectangle (C)

โ–ถ๏ธ Draw the figure given the area (using a grid) (A)

๐Ÿ”’ Draw the figure given the area (using a grid) (B)

๐Ÿ”’ Draw the figure given the area (using a grid) (C)

โ–ถ๏ธ Find area/perimeter of irregular rectangular shapes (A)

๐Ÿ”’ Find area/perimeter of irregular rectangular shapes (B)

๐Ÿ”’ Find area/perimeter of irregular rectangular shapes (C)

โ–ถ๏ธ Exploring area and perimeter using cheez-its (pdf guide)

โ†ช Activity Tutorial Video Link

โ–ถ๏ธ Classifying lines, line segments, and rays (A)

๐Ÿ”’ Classifying lines, line segments, and rays (B)

โ–ถ๏ธ Classifying angles: right, acute, or obtuse (A)

๐Ÿ”’ Classifying angles: right, acute, or obtuse (B)

โ–ถ๏ธ Classifying parallel and perpendicular lines (A)

๐Ÿ”’ Classifying parallel and perpendicular lines (B)

โ–ถ๏ธ Estimating angle measures (A)

๐Ÿ”’ Estimating angle measures (B)

โ–ถ๏ธ Classifying Triangles (A)

๐Ÿ”’ Classifying Triangles (B)

โ–ถ๏ธ Find area of right triangles (A)

๐Ÿ”’ Find area of right triangles (B)

โ–ถ๏ธ Find area of triangles (A)

๐Ÿ”’ Find area of triangles (B)

โ–ถ๏ธ Find area of parallelograms (A)

๐Ÿ”’ Find area of parallelograms (B)

โ–ถ๏ธ Find area of trapezoids (A)

๐Ÿ”’ Find area of trapezoids (B)

โ–ถ๏ธ Classifying Quadrilaterals (A)

๐Ÿ”’ Classifying Quadrilaterals (B)

โ–ถ๏ธ Measure angles using a protractor (A)

๐Ÿ”’ Measure angles using a protractor (B)

โ–ถ๏ธ Find the circumference of a circle (A)

๐Ÿ”’ Find the circumference of a circle (B)

โ–ถ๏ธ Find the area of a circle (A)

๐Ÿ”’ Find the area of a circle (B)

โ–ถ๏ธ Find the volume of a rectangular prism (A)

๐Ÿ”’ Find the volume of a rectangular prism (B)

โ–ถ๏ธ Find the surface area of a rectangular prism (A)

๐Ÿ”’ Find the surface area of a rectangular prism (B)

โ–ถ๏ธ Find the volume of a sphere (A)

๐Ÿ”’ Find the volume of a sphere (B)

โ–ถ๏ธ Find the volume of a cylinder (A)

๐Ÿ”’ Find the volume of a cylinder (B)

โ–ถ๏ธ Find the volume of a cone (A)

๐Ÿ”’ Find the volume of a cone (B)

โ–ถ๏ธ Find the surface area of a sphere (A)

๐Ÿ”’ Find the surface area of a sphere (B)

โ–ถ๏ธ Find the surface area of a cylinder (A)

๐Ÿ”’ Find the surface area of a cylinder (B)

โ–ถ๏ธ Find the surface area of a cone (A)

๐Ÿ”’ Find the surface area of a cone (B)

โ–ถ๏ธ Plotting Points (All Quadrants) (A)

๐Ÿ”’ Plotting Points (All Quadrants) (B)

โ–ถ๏ธ Reading Points (All Quadrants) (A)

๐Ÿ”’ Reading Points (All Quadrants) (B)

โ–ถ๏ธ Pok รฉmon Coordinate Points Activity

โ–ถ๏ธ Translations on the coordinate plane (A)

๐Ÿ”’ Translations on the coordinate plane (B)

โ–ถ๏ธ Rotations on the coordinate plane (A)

๐Ÿ”’ Rotations on the coordinate plane (B)

โ–ถ๏ธ Reflections on the coordinate plane (A)

๐Ÿ”’ Reflections on the coordinate plane (B)

โ–ถ๏ธ Dilations on the coordinate plane (A)

๐Ÿ”’ Dilations on the coordinate plane (B)

โ–ถ๏ธ Midpoint formula (A)

๐Ÿ”’ Midpoint formula (B)

โ–ถ๏ธ Distance formula (A)

๐Ÿ”’ Distance formula (B)

โ–ถ๏ธ Practice with the Pythagorean Theorem (A)

โ–ถ๏ธ Practice with the Pythagorean Theorem (B)

๐Ÿ”’ Practice with the Pythagorean Theorem (C)

๐Ÿ”’ Practice with the Pythagorean Theorem (D)

๐Ÿ”’ Practice with the Pythagorean Theorem (E)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Translating variable expressions into words (A)

๐Ÿ”’ Translating variable expressions into words (B)

โ–ถ๏ธ Translating variable equations into words (A)

๐Ÿ”’ Translating variable equations into words (B)

โ–ถ๏ธ Writing algebraic expressions (one step) (A)

๐Ÿ”’ Writing algebraic expressions (one step) (B)

๐Ÿ”’ Writing algebraic expressions (one step) (C)

โ–ถ๏ธ Writing algebraic expressions (one or two step) (A)

๐Ÿ”’ Writing algebraic expressions (one or two step) (B)

๐Ÿ”’ Writing algebraic expressions (one or two step) (C)

โ–ถ๏ธ Evaluating expressions (add/subtract) (one variable) (A)

๐Ÿ”’ Evaluating expressions (add/subtract) (one variable) (B)

โ–ถ๏ธ Evaluating expressions (multiply/divide) (one variable) (A)

๐Ÿ”’ Evaluating expressions (multiply/divide) (one variable) (B)

โ–ถ๏ธ Evaluating expressions (4 operations) (one variable) (A)

๐Ÿ”’ Evaluating expressions (4 operations) (one variable) (B)

โ–ถ๏ธ Evaluating expressions (w/ exponents) (one variable) (A)

๐Ÿ”’ Evaluating expressions (w/ exponents) (one variable) (B)

โ–ถ๏ธ Evaluating expressions (add/subtract) (two variables) (A)

๐Ÿ”’ Evaluating expressions (add/subtract) (two variables) (B)

โ–ถ๏ธ Evaluating expressions (multiply/divide) (two variables) (A)

๐Ÿ”’ Evaluating expressions (multiply/divide) (two variables) (B)

โ–ถ๏ธ Evaluating expressions (4 operations) (two variables) (A)

๐Ÿ”’ Evaluating expressions (4 operations) (two variables) (B)

โ–ถ๏ธ Evaluating expressions (w/ exponents) (two variables) (A)

๐Ÿ”’ Evaluating expressions (w/ exponents) (two variables) (B)

โ–ถ๏ธ Simplifying expressions (combine like terms) (A)

๐Ÿ”’ Simplifying expressions (combine like terms) (B)

๐Ÿ”’ Simplifying expressions (combine like terms) (C)

โ–ถ๏ธ Solving one-step algebraic equations (add/subtract) (A)

๐Ÿ”’ Solving one-step algebraic equations (add/subtract) (B)

โ–ถ๏ธ Solving one-step algebraic equations (multiply/divide) (A)

๐Ÿ”’ Solving one-step algebraic equations (multiply/divide) (B)

โ–ถ๏ธ Solving one-step algebraic equations (4 operations) (A)

๐Ÿ”’ Solving one-step algebraic equations (4 operations) (B)

๐Ÿ”’ Solving one-step algebraic equations (4 operations) (C)

โ–ถ๏ธ Solving two-step algebraic equations (A)

๐Ÿ”’ Solving two-step algebraic equations (B)

๐Ÿ”’ Solving two-step algebraic equations (C)

โ–ถ๏ธ Solving 2-sided algebraic equations (A)

๐Ÿ”’ Solving 2-sided algebraic equations (B)

๐Ÿ”’ Solving 2-sided algebraic equations (C)

โ–ถ๏ธ Completing two variable equation tables (A)

๐Ÿ”’ Completing two variable equation tables (B)

๐Ÿ”’ Completing two variable equation tables (C)

โ–ถ๏ธ Writing equations using tables (A)

๐Ÿ”’ Writing equations using tables (B)

๐Ÿ”’ Writing equations using tables (C)

โ–ถ๏ธ Solving multi-step equations (A)

๐Ÿ”’ Solving multi-step equations (B)

๐Ÿ”’ Solving multi-step equations (C)

โ–ถ๏ธ Factoring monomials (A)

๐Ÿ”’ Factoring monomials (B)

โ–ถ๏ธ Multiplying binomials (A)

๐Ÿ”’ Multiplying binomials (B)

โ–ถ๏ธ Adding and subtracting polynomials (A)

๐Ÿ”’ Adding and subtracting polynomials (B)

โ–ถ๏ธ Multiplying polynomials (A)

๐Ÿ”’ Multiplying polynomials (B)

โ–ถ๏ธ Finding slope from a graph (A)

๐Ÿ”’ Finding slope from a graph (B)

โ–ถ๏ธ Finding slope using a formula (A)

๐Ÿ”’ Finding slope using a formula (B)

โ–ถ๏ธ Graphing lines in slope-intercept form (A)

๐Ÿ”’ Graphing lines in slope-intercept form (B)

๐Ÿ”’ Graphing lines in slope-intercept form (C)

โ–ถ๏ธ Solving linear systems of equations by graphing (A)

๐Ÿ”’ Solving linear systems of equations by graphing (B)

๐Ÿ”’ Solving linear systems of equations by graphing (C)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Graphing single-variable inequalities on a number line (A)

๐Ÿ”’ Graphing single-variable inequalities on a number line (B)

โ–ถ๏ธ Solving one-step inequalities (A)

๐Ÿ”’ Solving one-step inequalities (B)

โ–ถ๏ธ Solving two-step inequalities (A)

๐Ÿ”’ Solving two-step inequalities (B)

โ–ถ๏ธ Graphing linear inequalities on the coordinate plane (A)

๐Ÿ”’ Graphing linear inequalities on the coordinate plane (B)

๐Ÿ”’ Graphing linear inequalities on the coordinate plane (C)

โ–ถ๏ธ Graphing systems of inequalities (A)

๐Ÿ”’ Graphing systems of inequalities (B)

๐Ÿ”’ Graphing systems of inequalities (C)

problem solving with solution and answer for grade 6

โ–ถ๏ธ Mixed multiplication and division word problems (A)

โ–ถ๏ธ Mixed multiplication and division word problems (B)

๐Ÿ”’ Mixed multiplication and division word problems (C)

๐Ÿ”’ Mixed multiplication and division word problems (D)

โ–ถ๏ธ Mixed 4 operations word problems (A)

๐Ÿ”’ Mixed 4 operations word problems (B)

๐Ÿ”’ Mixed 4 operations word problems (C)

โ–ถ๏ธ Shopping word problems (money counting) (A)

๐Ÿ”’ Shopping word problems (money counting) (B)

๐Ÿ”’ Shopping word problems (money counting) (C)

โ–ถ๏ธ Estimation and rounding word problems

โ–ถ๏ธ Measurement word problems (in, ft, and yds) (A)

๐Ÿ”’ Measurement word problems (in, ft, and yds) (B)

โ–ถ๏ธ Measurement word problems (cm, mm, and m) (A)

๐Ÿ”’ Measurement word problems (cm, mm, and m) (B)

โ–ถ๏ธ Length word problems (in inches) (A)

๐Ÿ”’ Length word problems (in inches) (B)

โ–ถ๏ธ Length word problems (in centimeters) (A)

๐Ÿ”’ Length word problems (in centimeters) (B)

โ–ถ๏ธ Adding/Subtracting decimals word problems (A)

๐Ÿ”’ Adding/Subtracting decimals word problems (B)

๐Ÿ”’ Adding/Subtracting decimals word problems (C)

โ–ถ๏ธ Adding/Subtracting fractions word problems (A)

๐Ÿ”’ Adding/Subtracting fractions word problems (B)

โ–ถ๏ธ Adding/Subtracting fractions word problems (easy) (C)

๐Ÿ”’ Adding/Subtracting fractions word problems (advanced) (D)

โ–ถ๏ธ Multiplying fractions by whole numbers word problems (A)

๐Ÿ”’ Multiplying fractions by whole numbers word problems (B)

โ–ถ๏ธ Fractions and expressions word problems (A)

๐Ÿ”’ Fractions and expressions word problems (B)

โ–ถ๏ธ Variables and expressions word problems (A)

๐Ÿ”’ Variables and expressions word problems (B)

๐Ÿ”’ Variables and expressions word problems (C)

โ–ถ๏ธ Variables and equations word problems (A)

๐Ÿ”’ Variables and equations word problems (B)

๐Ÿ”’ Variables and equations word problems (C)

โ–ถ๏ธ Scientific Notation Word Problems (A)

๐Ÿ”’ Scientific Notation Word Problems (B)

โ–ถ๏ธ GCF and LCM Word Problems (A)

๐Ÿ”’ GCF and LCM Word Problems (B)

โ–ถ๏ธ Ratio word problems (A)

๐Ÿ”’ Ratio word problems (B)

โ–ถ๏ธ Proportion word problems (A)

๐Ÿ”’ Proportion word problems (B)

โ–ถ๏ธ Percents word problems (A)

๐Ÿ”’ Percents word problems (B)

โ–ถ๏ธ Percent Increase/Decrease Word Problems (A)

๐Ÿ”’ Percent Increase/Decrease Word Problems (B)

โ–ถ๏ธ Markup, discount, and tax word problems (A)

๐Ÿ”’ Markup, discount, and tax word problems (B)

๐Ÿ”’ Markup, discount, and tax word problems (C)

โ–ถ๏ธ Area of a circle word problems (A)

๐Ÿ”’ Area of a circle word problems (B)

โ–ถ๏ธ Circumference of a circle word problems (A)

๐Ÿ”’ Circumference of a circle word problems (B)

โ–ถ๏ธ Area and perimeter of a rectangle word problems (A)

๐Ÿ”’ Area and perimeter of a rectangle word problems (B)

โ–ถ๏ธ Volume of rectangular prism word problems (A)

๐Ÿ”’ Volume of rectangular prism word problems (B)

๐Ÿ”’ Volume of rectangular prism word problems (C)

โ–ถ๏ธ Pythagorean Theorem word problems (A)

๐Ÿ”’ Pythagorean Theorem word problems (B)

๐Ÿ”’ Pythagorean Theorem word problems (C)

โ–ถ๏ธ Distance, rate, and time word problems (A)

๐Ÿ”’ Distance, rate, and time word problems (B)

โ–ถ๏ธ Multi-step Word Problem: Snappy Rental Car

โ–ถ๏ธ Multi-step Word Problem: Neilโ€™s Square Paper

๐Ÿ”’ Multi-step Word Problem: Lilly Goes Shopping

๐Ÿ”’ Multi-step Word Problem: Pumpkins and Watermelons

๐Ÿ”’ Multi-step Word Problem: Alejandroโ€™s Rock Collection

๐Ÿ›‘ Stop! Are you looking to unlock ALL of our 6th Grade Math Worksheets?

When you sign up for the Mashup Math Infinite K-8 Worksheet Portal, you will gain on-demand access to our complete 6th grade math worksheets library!

โ–ถ๏ธ Click here to gain on-demand access to all of our 6th Grade math worksheets

Your Students Will Love Our Math Worksheets for 6th Graders

Once you have shared a few of our 6th grade math problems worksheets with your students, you will gain first-hand experience with why they are an effective instructional tool for supporting 6th graders with practicing and learning challenging math topics such as decimals, percents, radicals, and more. Of course, you have tons of options when it comes to 6th grade math worksheets, but we are incredibly confident that you will find Mashup Mathโ€™s worksheets to truly be a cut above the rest, which is why we offer so many of our 6th grade math worksheets for free in the library above.

What sets our 6th grade math worksheets apart is that our worksheets are focused on having students engage in deep mathematical thinking and problem-solving, while most other worksheets simply focus on busy-work and repetition. By designing our math worksheets to allow 6th graders to engage with mathematics in an enjoyable and engaging way, they are better suited to support students in developing their math skills whiling learning to enjoy the subject as a whole at the same time!

When you make learning math fun and enjoyable (rather than dull and monotonous) for your 6th graders, they are more likely to stick with the subject and be success in mathematics at the middle and high school level and beyond.

problem solving with solution and answer for grade 6

Mashup Math worksheets for 6th graders take a quality over quantity approach that focuses on helping students to engage with math in a way that is enjoyable and appropriately challenging.

Looking for suggestions for how to best use our 6th grade math worksheets with students in your home or classroom? Here are a few ides:

independent practice of a new skill

extra practice or extra credit

during the first 5 minutes of a lesson (bellringer activity)

during the last 5 minutes of a lesson (exit ticket activity)

homework assignments

quiz or test review

formative assessments (exams)

However, if you choose to use our 6th grade math worksheets, you will find them to be an incredibly useful resource for supporting your 6th graders math skills and development. By giving your 6th grade students opportunities to practice and learn math in an engaging and stimulating way, you are helping them to develop strong math skills that they will be able to apply and build upon as they continue on to higher grade levels.

Every math teacher needs to have access to topic-specific practice worksheets to share with their students, but not all worksheets are the same. When it comes to choosing what worksheets you will share with your 6th graders, it is incredibly important that you choose ones that encourage deep engagement, critical thinking, and engaging problem solving over repetition and memorization. By giving your students meaningful and productive opportunities to practice and learn math, you are guiding them along a path that will lead them to being successful in mathematics in middle school, high school, and college!

problem solving with solution and answer for grade 6

Looking for more engaging 6th Grade Math Worksheets? Click here to gain access to our complete library of worksheets and answer keys , where you can gain on-demand access to ALL of our math worksheets for 6th graders.

Math Skills For Kids - 100% Free Resources For Math Practice - Math Worksheets, Games And Printable - pre-k math' First Grade math, grade 1 math, grade 2 math, grade 3 math, grade 4 math, grade 5 math, grade 6 math

  • 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.

  • 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

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

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  • INTRODUCTION
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  • Fun 6th Grade math activities to facilitate effective math teaching and learning skills

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6th grade math word problems curriculum.

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

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

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

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

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

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

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

problem solving with solution and answer for grade 6

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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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