6th Grade mixed operations made easy: Free printable worksheets
Are your students ready to have some fun with mixed operations? Then check out our free printable 6^{th} Grade mixed operations worksheets, made easy for students to solve problems with multiple operations enjoyably.

If you are in 6^{th} Grade, you have probably mastered how to add, subtract, multiply, and divide. That sounds interesting, but there’s a lot more to learn! 6^{th} graders must know which operations to solve first if two or more are combined in one problem.
The best Resource for Grade 6 Mixed Operations: Worksheets, Examples, and Exercises
Are you a teacher or a parent looking for the best resource to help your grade 6 students master mixed operations? Look no further! We understand the importance of providing comprehensive materials that cover all aspects of this crucial math topic. Our collection of grade 6 Mathskills4kids’ mixed operations worksheets, examples, and exercises are designed to engage students and enhance their learning experience.
With a wide range of carefully crafted worksheets, detailed examples, and challenging exercises, our resource perfectly balances practicing fundamental skills and challenging students to think critically. Whether you teach in a classroom setting or homeschool, our resource will provide the tools you need to ensure your student's success.
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GRADE 6 MATH TOPICS
 Whole numbers
 Multiplication
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 Exponents and square roots
 Number theory
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 Add & subtract decimals
 Multiply & divide decimals
 Fractions & mixed numbers
 Add & subtract fractions
 Multiply fractions
 Divide fractions
 Integers
 Operations with integers
 Mixed operations
 Rational numbers
 Problems solving
 Ratio & proportions
 Percentages
 Measuring units
 Money math
 Consumer math
 Telling time
 Coordinate graph
 Algebraic expressions
 One step equations
 Solve & graph inequalities
 Twostep equations
 2D Geometry
 Symmetry & transformation
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 Geometry measurement
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Importance of practicing mixed operations in 6th Grade
Mixed operations are problems that involve more than one arithmetic operation. For example, 3 + 4 x 5 is a mixed operation problem that involves addition and multiplication. Mixed operations are important for practice in 6^{th} Grade because they help students develop their number sense, mental math skills, and problemsolving abilities.
They also prepare students for more advanced math topics like fractions, decimals, percentages, algebra, and geometry. By practicing with Mathskills4kids 6^{th} Grade mixed operations made easy, students will be able to:
 Apply the order of operations (PEMDAS) correctly and consistently
 Simplify expressions with parentheses, brackets, and exponents
 Perform calculations with positive and negative numbers
 Estimate and check the reasonableness of their answers
 Communicate their mathematical thinking clearly and logically

Types of mixed operations  addition, subtraction, multiplication, and division
Students will encounter four types of mixed operations in 6th grade: addition, subtraction, multiplication, and division. Each type has rules and strategies that students need to know and apply. Here are some examples of each type of mixed operation:
 Addition: Adding two or more numbers together. For example, 12 + 7 + 5 = 24.
 Subtraction: Taking away one number from another. For example, 20  8  4 = 8.
 Multiplication: Repeated addition of the same number. For example, 3 x 4 = 3 + 3 + 3 + 3 = 12.
 Division: Splitting a number into equal parts or groups. For example, 12 ÷ 3 = 4.

Worksheets for Grade 6 mixed operations
One of the best ways to practice and master mixed operations is to use worksheets. Worksheets are printable or digital sheets that contain a set of problems for students to solve. Worksheets can help students:
 Review and reinforce what they have learned in class
 Practice their skills independently and at their own pace
 Identify their strengths and weaknesses
 Monitor their progress and improvement
 Prepare for tests and quizzes
Worksheets for grade 6 mixed operations can be found online or in books. They can vary in difficulty, format, and content. Some worksheets may focus on one type of mixed operation, while others may include a mix of all four types. Some worksheets may provide hints or examples, while others may require students to figure out the problems independently. Some worksheets may have multiplechoice or fillintheblank questions, while others may have openended or word problems.

Set of rules for solving 6^{th} Grade mixed operation problems
To solve mixed operation problems, we must follow the order of operations, i.e., a set of rules that tells which operation to do first. The order of operations is:
 Parentheses: Do the calculations inside parentheses first.
 Exponents: Calculate the powers or roots next.
 Multiplication and Division: Do these operations from left to right.
 Addition and Subtraction: Do these operations from left to right.
Here are some examples of how to apply the order of operations to solve mixed operation problems.
Example 1: 3 x (4 + 5)  6 ÷ 2
Solution:
 First, do the calculation inside the parentheses: 4 + 5 = 9
 Then, multiply by 3: 3 x 9 = 27
 Next, divide by 2: 6 ÷ 2 = 3
 Finally, subtract from 27: 27  3 = 24
The answer is 24.
Example 2: (2 x 3)² + (4  1)³
Solution:
 First, do the calculations inside the parentheses: 2 x 3 = 6 and 4  1 = 3
 Then, raise to the power of 2 and 3: 6² = 36 and 3³ = 27
 Finally, add them together: 36 + 27 = 63
The answer is 63.

Examples of 6^{th} Grade mixed operation problems made easy at Mathskills4kids.com
To have an idea of what grade 6 mixed operation problems look like, here are some examples from Mathskills4kids.com:
Example 1: Simplify the expression: (8  2) x (5 + 3) ÷ (4 1)
Solution:
Step 1: Apply the order of operations (PEMDAS): Parentheses first.
(8  2) x (5 + 3) ÷ (4 1)
= (6) x (8) ÷ (3)
Step 2: Apply the order of operations (PEMDAS): Exponents next. There are no exponents in this expression.
(6) x (8) ÷ (3)
Step 3: Apply the order of operations (PEMDAS): Multiplication and division from left to right.
(6) x (8) ÷ (3)
= 48 ÷ 3
Step 4: Apply the order of operations (PEMDAS): Addition and subtraction from left to right. There are no addition or subtraction in this expression.
48 ÷ 3
= 16
Answer: 16
Example 2: Evaluate the expression: 3 x (2) + 4 x (1)
Solution:
Step 1: Apply the order of operations (PEMDAS): Parentheses first. There are no parentheses in this expression.
3 x (2) + 4 x (1)
Step 2: Apply the order of operations (PEMDAS): Exponents next. There are no exponents in this expression.
3 x (2) + 4 x (1)
Step 3: Apply the order of operations (PEMDAS): Multiplication and division from left to right.
3 x (2) + 4 x (1)
= 6 + (4)
Step 4: Apply the order of operations (PEMDAS): Addition and subtraction from left to right.
6 + (4)
= 2
Answer: 2

10 exercises for practicing Grade 6 mixed operations
Please, encourage your students to try these exercises to practice their skills in solving mixed operation problems. They can check their answers at the end of this article.
 (5 + 7) x (8  3)
 (9  4)² + (6 x 2)³
 (12 ÷ 4) x (3 + 5)  (7  2)
 (10  6) x (4 + 2)²
 (8 x 3) ÷ (2 + 4) + (5  1)
 (7 x 5)  (6 + 4)²
 (9 + 3) ÷ (6  2) x (4²  1)
 (5 x 4)³  (8 ÷ 2)²
 (6 + 2) x (7  3) + (9 ÷ 3)²
 (8  4)³ + (10 ÷ 2) x (5 +1)

Tips for mastering Grade 6 mixed operations
Here are some tips to help 6^{th} graders master mixed operations.
 Review the order of operations and memorize it.
 Use parentheses to group the calculations that need to be done first.
 Use a calculator or a pencil and paper to check your work.
 Practice with different types of problems, such as word problems, fractions, decimals, and negative numbers.
 Challenge yourself with more complex problems that involve multiple steps and operations.
Bonus: additional resources for Grade 6 mixed operations
If you want to help your Grade 6 students learn more about mixed operations and practice their skills, here are some web links with descriptions that you can use.
 https://www.mathsisfun.com/operationorderpemdas.html: This website explains the order of operations in detail and provides examples and interactive exercises.
 https://www.mathdrills.com/orderofoperations.php: This website offers free printable worksheets for practicing mixed operations with different difficulty levels.
 https://www.khanacademy.org/math/arithmetic/arithrevieworderofoperations: This website provides video lessons and quizzes on the order of operations and mixed operations. rel="noopener"
 https://www.mathplayground.com/order_of_operations.html: This website has fun games and puzzles that test students' knowledge of the order of operations and mixed operations.


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Conclusion
Mixed operations are an important skill to master in Grade 6 math. They help us solve complex problems that involve different types of calculations.
Using Mathskills4kids and other resources suggested in this article, students can improve their understanding of the order of operations and practice their skills in solving mixed operation problems.
They can also challenge themselves with more advanced problems and have fun with games and puzzles. We hope you enjoyed this article and learned something new!