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Order of Operations with Exponents - Printable Math Worksheets year 6 - Wayground

Order of Operations with Exponents

Scott Abbott

Created by Scott Abbott

12 questions

6th Grade

Math

Updated Oct 2026

This Grade 6 mathematics worksheet gives students focused practice with evaluating numerical expressions using the order of operations and exponents. Across 12 questions—11 multiple-choice items and one fill-in-the-blank response—students evaluate expressions with parentheses, exponents, addition, subtraction, multiplication, and division; identify the correct operation sequence; and apply multiplication and division from left to right. The worksheet also asks students to connect repeated multiplication with exponential notation, define the role of an exponent, identify an error in an order-of-operations solution, and explain which step comes next. It is designed for Grade 6 practice, guided instruction, review, or a quick skills check. This free printable worksheet includes a complete answer key and gives teachers a ready-to-use way to check whether students can apply PEMDAS accurately rather than simply recall the acronym.

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Order of Operations with Exponents

Total questions: 12

Name
Class
Date
1.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
2.
(15 ÷ 3)2 + 9 ÷ 3
a)
11.3
b)
28
c)
13
3.
25 is the same as 2 x 5.
a)
True
b)
False
4.

 (3+2)2\left(3+2\right)^2  

a)

10

b)

20

c)

13

d)

25

5.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
6.
Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
7.
What step would I do second ? (4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
8.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
9.

Write with an exponent:
 3⋅3⋅3⋅3⋅33\cdot3\cdot3\cdot3\cdot3  

a)

 353^5  

b)

 535^3  

10.

An ___________________ is a number that tells us how many times the base is multiplied by itself.

a)

exponent

b)

PEMDAS

c)

addition

d)

product

11.

The M and D in PEMDAS stand for Multiplication and Division.

Which operation do you do first?

a)

Multiplication

b)

Division

c)

Whichever comes first in the expression as you read it from left to right

12.

*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)

Evaluate the expression:
 10÷2⋅4+610\div2\cdot4+6  

(a)  

WaygroundAnswer Key

Order of Operations with Exponents

Total questions: 12

1.
b) 88
2.
b) 28
3.
b) False
4.
d)

25

5.
c) Addition
6.
b) Addition was done first and you should have subtracted first
7.
a) multiplication
8.
b) 2
9.
a)

 353^5  

10.
a)

exponent

11.
c)

Whichever comes first in the expression as you read it from left to right

12.
26

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FAQs

What does the Order of Operations with Exponents worksheet cover?

This Grade 6 worksheet practices evaluating numerical expressions with parentheses, exponents, and the four operations using the correct order of operations. Its 11 multiple-choice questions and one fill-in-the-blank item also ask students to write repeated multiplication as an exponent, define an exponent, identify the next operation, and find an error in a worked solution.

How can I use this worksheet to teach order of operations with exponents?

Introduce the worksheet by modeling one expression with parentheses and an exponent, then have students explain why each step comes before the next. Use the questions asking which operation comes first or second to prompt discussion about multiplication and division being completed from left to right, and review the error-analysis item to show how changing the sequence affects the answer.

What mistakes should I watch for when students complete this worksheet?

Watch for students treating an exponent as multiplication by the exponent instead of repeated multiplication by the base, or evaluating an exponent before resolving parentheses. Students may also perform all multiplication before division rather than working left to right, or add before subtracting in a left-to-right sequence; the error-analysis and operation-sequencing questions make these patterns visible.

How do I assign and grade this worksheet?

On Wayground, you can assign the Order of Operations with Exponents worksheet as a printable PDF or use it as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this order-of-operations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the expressions, exponents, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the same order-of-operations practice.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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