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Quizzes > Mathematics

PEMDAS Quiz: Practice the Order of Operations

Quick, free order of operations quiz with instant results and explanations.

Editorial: Review CompletedCreated By: Coise CenasUpdated Aug 25, 2025
Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting PEMDAS Power Play, an interactive math quiz for middle school students.

This PEMDAS quiz helps you practice the order of operations and catch common mistakes. Solve 20 expressions with parentheses, exponents, and mixed steps, then get instant results with brief explanations to guide your review. For more practice, try a pemdas puzzle, take a tougher pemdas test, or check an order of operations test.

What does PEMDAS stand for in the order of operations?
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Properties, Exponents, Multiplication, Division, Addition, Subtraction
Parentheses, Exponents, Multiplication, Division, Algebra, Subtraction
Parentheses, Exponents, Modulus, Division, Addition, Subtraction
PEMDAS is a mnemonic that details the order in which mathematical operations should be performed. The correct expansion lists Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
What is the value of 2 + 3 * 4?
14
18
20
12
According to PEMDAS, multiplication is performed before addition. Multiplying 3 by 4 gives 12, and adding 2 results in 14.
Find the value of (2 + 3) * 4.
24
10
20
14
Operations inside parentheses are calculated first, so 2 + 3 equals 5. Multiplying 5 by 4 gives a final answer of 20.
According to the order of operations, which part of the expression 6 - 4 + 3 is calculated first?
Add 6 and 3
Add 4 and 3
Subtract 4 from 6
Perform both operations simultaneously
Addition and subtraction have the same precedence and are performed from left to right. Therefore, 6 - 4 is computed first.
Calculate the value of 3^2 + 5 - 1.
17
15
9
13
Following PEMDAS, the exponent 3^2 is computed first to get 9. Then, adding 5 gives 14 and subtracting 1 results in 13.
What is the value of 8 + 2 * (3^2 - 1)?
26
24
16
18
First, calculate the exponent 3^2 to obtain 9, then subtract 1 to get 8. Multiplying 2 by 8 gives 16, and adding 8 results in 24.
Solve: (5 + 3) * (2^3 - 3).
16
56
64
40
Calculate the expressions within each set of parentheses first. (5 + 3) equals 8 and (2^3 - 3) equals 5, so multiplying 8 by 5 results in 40.
What is the result of 20 / (2 * (2 + 3))?
2
10
4
5
Start by evaluating the innermost parentheses: 2 + 3 equals 5. Multiplying 2 by 5 gives 10, and dividing 20 by 10 results in 2.
Calculate the value of 7 - 3 + 2 * 4.
12
18
10
8
According to PEMDAS, multiplication is done before addition and subtraction. Multiplying 2 by 4 gives 8, then performing 7 - 3 results in 4, and adding 8 yields 12.
Determine the value of (4^2 - 6) / 2.
5
7
8
10
Start by computing the exponent: 4^2 equals 16. Subtracting 6 yields 10, and dividing by 2 gives the final answer of 5.
Which of the following expressions is equivalent to 3(4 + 2^2)?
30
20
18
24
First, calculate 2^2 to get 4 and then add it to 4, yielding 8. Multiplying by 3 results in 24, which is the equivalent expression.
Simplify the expression: 12 ÷ 3 * 2 + 5.
21
17
13
10
Division and multiplication should be performed from left to right. Dividing 12 by 3 gives 4, multiplying by 2 results in 8, and adding 5 gives 13.
Evaluate: (15 - 3) / (2 + 4) * 3.
8
7
5
6
Compute the operations inside the parentheses first: 15 - 3 equals 12 and 2 + 4 equals 6. Dividing 12 by 6 gives 2, and multiplying by 3 results in 6.
Solve the expression: 9 - 3^2 + 4.
4
6
10
16
First, evaluate the exponent 3^2 to obtain 9. Then, subtracting 9 from the first 9 gives 0, and finally adding 4 results in 4.
What is the correct evaluation of: 8/2(2+2)?
4
8
16
1
Following the left-to-right rule for division and multiplication, first compute 2+2 to get 4. Then, 8 divided by 2 equals 4, and multiplying by 4 gives 16.
Evaluate the expression: (2^3 * 3 + 4) - (6/2 + 5).
24
16
20
22
Begin by calculating 2^3 to get 8, then multiply by 3 and add 4 for the left part, resulting in 28. For the right, divide 6 by 2 to obtain 3 and add 5 to get 8; subtracting gives 20.
Simplify: [(3+2)^2 - (4*2)] / [3 - 1].
7
9
8.5
10
First, compute (3+2) to get 5 and square it to obtain 25, then subtract 4*2 (which is 8) from 25 to get 17. The denominator 3 - 1 equals 2, and dividing 17 by 2 gives 8.5.
Find the value of: 3 * [2 + (5 - 1)^2] / 4.
12
14
15
13.5
Evaluate the innermost parentheses: (5 - 1) equals 4, and squaring it gives 16. Adding 2 results in 18, and multiplying by 3 gives 54. Finally, dividing 54 by 4 yields 13.5.
Evaluate: 4 + 3 * (2^3 - 5) - 6/(1+1).
14
10
12
8
Start by calculating the exponent: 2^3 equals 8, then subtract 5 to get 3. Multiply 3 by 3 to obtain 9, and compute 6/(1+1) as 3. Adding 4 and 9 gives 13, and subtracting 3 results in 10.
Determine the result of: (9 - 3^2) * (2 + 4/2) + 7.
4
9
6
7
Compute the exponent first: 3^2 equals 9, and subtracting from 9 gives 0. The second parentheses yields 2 + (4/2) = 2 + 2 = 4, but multiplying by 0 results in 0, and adding 7 gives the final answer of 7.
0
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Study Outcomes

  1. Analyze mathematical expressions using the order of operations.
  2. Apply PEMDAS principles to simplify and solve equations.
  3. Evaluate complex problems accurately by following operator precedence.
  4. Demonstrate improved problem-solving skills in interactive math quizzes.
  5. Assess and build confidence in handling test and exam questions involving ordered operations.

PEMDAS Worksheets & Quiz Practice Cheat Sheet

  1. Understand the Order of Operations - Think of PEMDAS as the boss of all calculations: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Following this rule keeps your math battles clean and error‑free. Never let addition sneak in before multiplication!
  2. Parentheses First - Anything wrapped in parentheses gets top priority, like front‑row seats at a concert. Solve inside the brackets before you do anything else to avoid wild mistakes later. It's a simple habit that makes big problems feel much smaller.
  3. Exponents Next - After you clear out the parentheses, tackle powers and squares. Exponents pack a punch, so handle them early to keep the rest of your work neat. Remember, 2³ is not 6 - it's 8!
  4. Multiplication and Division - These two are buddies and share the same rank - evaluate them left to right. Treat "÷" and "×" like teammates passing the ball: you go in the order they show up. This keeps your arithmetic on point.
  5. Addition and Subtraction - Finally, add and subtract in the order they appear, from left to right. It's like balancing your checkbook: do each transaction in sequence for a perfect total. This step wraps up your calculation with flair.
  6. Use Mnemonics to Remember PEMDAS - "Please Excuse My Dear Aunt Sally" is the classic mnemonic that sticks in your brain like glue. With a catchy phrase at your fingertips, you'll never forget the hierarchy of operations. Try making your own fun versions too!
  7. Practice with Examples - Jump into problems like 7 + 3 × (10 ÷ 2) - 5 to flex your PEMDAS muscles. First compute inside the parentheses, then multiply, and finally add and subtract for the answer. The more you solve, the more confident you become!
  8. Be Cautious with Negative Numbers - Negative signs can be sneaky - remember that exponents don't automatically apply to the minus sign. In -3² you square 3 first (get 9), then apply the negative for -9. A small slip here can lead to big blunders!
  9. Understand Multiplication and Division Equally - Neither one outranks the other; just work left to right. In 8 ÷ 2 × 4, you divide before you multiply because division comes first when reading left to right. This keeps your calculations steady and predictable.
  10. Apply the Same Rule to Addition and Subtraction - Just like multiplication and division, addition and subtraction share equal status. Read left to right - 20 - 5 + 3 means subtract before you add. This habit ensures smooth sailing through any arithmetic challenge.
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