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Quizzes > Mathematics

PEMDAS Quiz: Practice the Order of Operations

Quick, free order of operations quiz. Instant results.

Editorial: Review CompletedCreated By: Patrick WeaverUpdated Aug 28, 2025
Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting PEMDAS Puzzle Challenge, a math quiz for middle school students.

This PEMDAS quiz helps you practice the order of operations and check each step with parentheses, exponents, multiplication, division, addition, and subtraction. Build speed across 20 questions, then extend your skills with a pemdas practice quiz, an order of operations multiple choice quiz, or a set of bimdas questions.

Which statement best describes the order of operations abbreviated as PEMDAS?
Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction
Addition, Subtraction, Multiplication, Division, Parentheses, and Exponents
Exponents, Parentheses, Multiplication, Addition, Division, and Subtraction
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction
The correct order of operations follows the PEMDAS rule where operations inside Parentheses are performed first, then Exponents, followed by Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). The other options mix up this sequence, leading to potential calculation errors.
Evaluate: 3 + 4 x 2.
10
14
11
7
Following the order of operations, multiplication is carried out before addition: 4 x 2 equals 8, then adding 3 gives 11. The option 14 results from incorrectly adding before multiplying.
What is the value of 8 ÷ 2 x (2 + 2)?
8
16
1
32
First, solve inside the parentheses: 2 + 2 equals 4. Then, perform the division and multiplication from left to right: 8 ÷ 2 equals 4, and 4 x 4 gives 16.
In the expression 5 + (6 x 2), which operation should be performed first?
Multiplication inside the parentheses
Addition
Division
Subtraction
According to the order of operations, any calculation inside parentheses should be performed before operations outside them. Multiplying 6 by 2 is performed before adding the result to 5.
Which example correctly applies the order of operations to evaluate 2 x (3 + 4)?
2 x 3 x 4 = 24
(2 x 3) + 4 = 6 + 4 = 10
2 x (3 + 4) = 2 x 7 = 14
2 x 3 + 4 = 6 + 4 = 10
The correct procedure is to first add the numbers inside the parentheses (3 + 4 equals 7) and then multiply by 2, which results in 14. The other options perform operations in the wrong order.
Evaluate: 12 - 3 x 2^2.
6
9
12
0
First, compute the exponent: 2^2 equals 4. Then multiply 3 by 4 to get 12, and subtract this from 12 to obtain 0.
Solve: (4 + 6) ÷ 2 x 3.
12
30
15
20
Begin by adding the numbers inside the parentheses: 4 + 6 equals 10. Then, perform the division (10 ÷ 2 = 5) followed by multiplication (5 x 3 = 15) to arrive at the correct answer.
Calculate: 7 + 18 ÷ 3 - 2.
11
21
9
19
Division takes precedence, so evaluate 18 ÷ 3 to get 6. Then follow left-to-right addition and subtraction: 7 + 6 equals 13, and 13 - 2 gives 11.
What is the result of 9 - 2 x (3 + 1)?
8
5
9
1
First, solve the parentheses: 3 + 1 equals 4. Then multiply by 2 to get 8, and finally subtract from 9 to obtain 1.
Solve: (8 + 2) x (3 - 1) + 4^2.
36
28
32
40
Begin by evaluating the parentheses: (8 + 2) equals 10 and (3 - 1) equals 2, then multiply to get 20. Next, compute the exponent 4^2 to get 16 and add it to 20 for a sum of 36.
Determine the value of: 15 ÷ (3 x 5) + 2.
5
3
10
7
Calculate the multiplication inside the parentheses first (3 x 5 equals 15), then perform the division (15 ÷ 15 equals 1) and finally add 2 to arrive at 3. Incorrect sequencing of operations would lead to a different result.
Simplify: 4 + 6 x 2 - 3.
10
14
13
22
Following PEMDAS, perform multiplication first: 6 x 2 equals 12. Then, carry out addition and subtraction in order: 4 + 12 equals 16, and 16 - 3 gives 13.
Find the result of: (5^2 - 3) ÷ 2.
10
12
9
11
Compute the exponent first: 5^2 equals 25; subtracting 3 gives 22. Dividing 22 by 2 results in 11, which is the correct value.
Evaluate: 2 x 3^2 + 4.
24
22
26
20
First, calculate the exponent 3^2 which is 9; then multiply by 2 to obtain 18 and finally add 4 to reach 22. Each operation is performed in the proper sequence to yield this result.
What is the evaluated result of: 20 ÷ 4 x (2 + 3)?
30
20
10
25
Start by solving the parentheses: 2 + 3 equals 5; then divide 20 by 4 to get 5, and finally multiply 5 by 5 to obtain 25. The sequential processing of these operations is key to the correct answer.
Evaluate: 3 + 6 x (5 + 4^2) ÷ 3.
42
39
45
51
Compute the exponent first: 4^2 equals 16; then add 5 to get 21 within the parentheses. Multiplying 6 by 21 yields 126, dividing by 3 gives 42, and finally adding 3 results in 45.
Solve: (12 ÷ (2^2)) x (3 + 1) - 5.
9
7
6
8
Start by computing the exponent: 2^2 equals 4, then perform the division: 12 ÷ 4 equals 3. Next, add the numbers inside the parentheses (3 + 1 equals 4), multiply to get 12, and finally subtract 5 to arrive at 7.
Determine the value of: 18 - 4 x 3 + 2^3.
12
10
16
14
First, compute the exponent 2^3 which equals 8 and perform the multiplication 4 x 3 to get 12. Then, execute the operations from left to right: 18 minus 12 equals 6, and finally adding 8 results in 14.
What is the result of: (5 + 3) x (2^2) - (4 ÷ 2)?
30
32
28
26
First, solve the parentheses: 5 + 3 equals 8 and 2^2 equals 4. Multiplying these gives 32; then, compute the division 4 ÷ 2 to obtain 2, and subtracting yields 30.
Simplify and calculate: 2 x (3 + 5) - 4^2 ÷ 2.
4
16
12
8
Evaluate the parentheses: 3 + 5 equals 8, and multiplying by 2 gives 16. Then, compute the exponent 4^2 equals 16, divide by 2 to get 8, and finally subtract 8 from 16 to obtain 8.
0
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Study Outcomes

  1. Understand the correct order of operations through the use of PEMDAS.
  2. Solve multi-step mathematical expressions accurately using PEMDAS principles.
  3. Analyze expressions to determine the appropriate sequence for computation.
  4. Apply the order of operations to simplify and evaluate complex problems.
  5. Develop critical problem-solving skills necessary for tests and exams.

Order of Operations Quiz: PEMDAS Worksheets Cheat Sheet

  1. Understand PEMDAS - PEMDAS is your golden ticket to solving math expressions correctly: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Memorizing this order stops those pesky mistakes that sneak in during tests!
  2. Use a catchy mnemonic - "Please Excuse My Dear Aunt Sally" transforms a dry acronym into a memorable phrase. This fun trick helps lock the order in your brain, ready for quiz time!
  3. Master parentheses first - Always tackle innermost brackets before anything else, just like unwrapping a gift layer by layer. For 3 × (2 + (4 − 1)), you'd solve (4 − 1) first for smooth sailing.
  4. Handle exponents next - Powers can pack a punch, so compute them right after parentheses. In 5 + 2², square the 2 to get 4 before you add it to 5 - no surprises there!
  5. Multiply and divide left to right - Think of it as a relay race: whichever operation comes first runs the lap. For example, 8 ÷ 2 × 4 equals 16, not 1 - because you divide before you multiply!
  6. Add and subtract left to right - Just like multiplication and division, these teammates follow the left-to-right flow. So 10 − 3 + 2 is 9, not another surprise answer!
  7. Be cautious without parentheses - Missing brackets can trick you, so always apply the order of operations carefully. Remember that 6 + 3 × 2 is 12, not 18 - multiplication takes the lead!
  8. Practice with varied problems - The more expressions you tackle, the more confident you become with PEMDAS. Mix in parentheses, exponents and multi-step challenges for maximum brain boost!
  9. Trust the left-to-right rule - When multiplication pairs with division or addition pairs with subtraction, simply go in the order they appear. This simple habit keeps your answers consistent and test-ready.
  10. Engage with quizzes - Interactive practice tests and games turn learning into playtime, cementing the order of operations in your mind. Challenge friends or set personal bests - math mastery has never been this fun!
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