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Order of Operations Practice Quiz

Download our order of operations quiz PDF now

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting the PEMDAS Power Challenge, a math quiz for middle school students.

What is the value of 2 + 3 * 4?
10
14
12
20
Multiplication is performed before addition. Here, 3 multiplied by 4 equals 12, and adding 2 results in 14.
Evaluate the expression 5 - 2 + 3.
5
6
8
0
Addition and subtraction have the same precedence and are evaluated left to right. Thus, 5 minus 2 equals 3, then adding 3 gives 6.
Compute 3 * (2 + 4).
21
12
24
18
The operation inside the parentheses is completed first; 2 plus 4 equals 6. Then, multiplying 3 by 6 results in 18.
What is the result of (5 + 3) - 2?
8
5
10
6
The parentheses indicate that 5 and 3 should be added first, giving 8, and then subtracting 2 results in 6. Following the order of operations ensures accuracy.
Solve 10 ÷ 2 + 3.
5
10
13
8
Division is performed before addition. Dividing 10 by 2 gives 5, and adding 3 results in 8.
What is the value of 8 + 2 * 5 - 3?
25
10
15
20
Multiplication is executed before addition and subtraction. Here, 2 times 5 equals 10, and then adding 8 and subtracting 3 results in 15.
Calculate 12 ÷ 3 + 4 * 2.
12
10
8
14
According to the order of operations, division and multiplication are performed prior to addition. Dividing 12 by 3 yields 4, multiplying 4 by 2 gives 8, and their sum is 12.
Find the result of (6 + 2) * (3 - 1).
12
18
16
14
Parentheses are evaluated first: 6 plus 2 equals 8 and 3 minus 1 equals 2. Multiplying these results leads to a final answer of 16.
What does the expression 9 - 3 * 2 + 4 equal?
9
7
5
10
Multiplication is prioritized over addition and subtraction. Calculating 3 times 2 gives 6, so the expression becomes 9 minus 6 plus 4, which equals 7.
Evaluate 15 ÷ (3 + 2) * 4.
20
15
7
12
The parentheses command to add 3 and 2 first, resulting in 5. Dividing 15 by 5 gives 3, and then multiplying by 4 produces 12.
Solve (8 - 3)² ÷ 5, where the exponent applies to the result of (8 - 3).
3
25
10
5
Begin by evaluating the parentheses: 8 minus 3 equals 5. Squaring 5 gives 25, and dividing by 5 results in 5.
Determine the result of 14 - 4 ÷ 2 + 3.
14
17
15
12
Division comes before subtraction and addition. Dividing 4 by 2 gives 2, subtracting that from 14 results in 12, and adding 3 achieves the final answer of 15.
Compute 3 + 6 ÷ 2 * 4.
15
14
18
12
Follow the order of operations by handling division and multiplication before addition. Dividing 6 by 2 gives 3 and then multiplying by 4 gives 12; adding 3 results in 15.
What is 20 ÷ 4 * (3 + 2)?
25
15
20
10
The calculation inside the parentheses is performed first, so 3 plus 2 equals 5. Then, 20 divided by 4 is 5, and multiplying these results gives 25.
Evaluate 18 ÷ 3 - 2 + 4 * 2.
14
10
12
16
Division and multiplication are performed before addition and subtraction. Here, 18 divided by 3 is 6 and 4 multiplied by 2 is 8. Subtracting 2 from 6 gives 4, and adding 8 yields 12.
Solve 2*(3 + 4²) - 5, applying proper order of operations.
32
31
34
33
Begin with the exponent: 4 squared is 16. Then add 3 to get 19, multiply by 2 to obtain 38, and finally subtract 5 to arrive at 33.
What is the result of (12 - 3 * 2)² ÷ 9?
9
8
4
6
Multiply 3 by 2 to get 6 and subtract from 12 to get 6. Squaring 6 results in 36, which when divided by 9, gives 4.
Compute 5 + (14 ÷ 2 - 3) * 4, following PEMDAS.
16
21
20
18
First, divide 14 by 2 to obtain 7, then subtract 3 to get 4. Multiplying 4 by 4 equals 16, and adding 5 produces 21.
Find the value of (4 + 6 ÷ 2) * (3² - 1).
56
64
48
52
Within the first set of parentheses, divide 6 by 2 to get 3 and then add 4 to get 7. For the second, square 3 to obtain 9 and subtract 1, resulting in 8; multiplying 7 by 8 gives 56.
Calculate 10 - 2*(3 + 4 ÷ 2) + 5², ensuring proper order.
20
15
25
30
Start by dividing 4 by 2 to get 2, then add 3 to obtain 5. Multiply 2 by 5 resulting in 10, compute 5 squared to get 25, and finally perform 10 - 10 + 25 to arrive at 25.
0
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Study Outcomes

  1. Understand and recall the PEMDAS order of operations.
  2. Apply the order of operations to simplify mathematical expressions.
  3. Analyze multi-step expressions to identify proper sequencing of operations.
  4. Synthesize problem-solving strategies to correctly evaluate calculations.
  5. Verify results by checking the consistency of applied operational rules.

Order of Operations Quiz PDF Cheat Sheet

  1. Understand the Order of Operations - Master the sequence of operations - Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right) - to solve expressions accurately. It's like following a recipe: skip a step and your final dish (or answer) will be a mess! PEMDAS Meaning & Rule
  2. Use Mnemonics to Remember PEMDAS - Turn those intimidating letters into a catchy phrase like "Please Excuse My Dear Aunt Sally" so your brain locks in the right order. Making it fun means you'll never forget which step comes next! PEMDAS Mnemonic Guide
  3. Evaluate Parentheses First - Always tackle the stuff in brackets before anything else; it's like clearing the runway before takeoff. Nailing this step first simplifies even the trickiest expressions. Parentheses Deep Dive
  4. Handle Exponents Next - Powers and roots come right after parentheses, so crank those exponents before moving on. Think of exponents as power-ups in a game - they boost numbers to new heights! Exponents Explained
  5. Perform Multiplication and Division from Left to Right - Treat these two like a tag team: whomever appears first from the left gets tackled first. Keeping your eyes on the order saves you from common slip‑ups. Multiplication & Division Tips
  6. Execute Addition and Subtraction from Left to Right - Just like the previous duo, addition and subtraction follow the same "left-to-right" rule. One misstep here can rewrite your whole problem - so stay sharp! Addition & Subtraction Tricks
  7. Practice with Sample Problems - The secret sauce to mastering PEMDAS is repetition: solve different problems daily to lock in your skills. Challenge yourself with timed quizzes for an extra adrenaline rush! Practice Problems & Examples
  8. Be Mindful of Nested Parentheses - When you see parentheses inside parentheses, dive into the innermost set first. It's like unwrapping Russian dolls - one layer at a time! Nested Parentheses Help
  9. Apply the Distributive Property When Necessary - Use a(b + c) = ab + ac to simplify expressions before you start your main operations. This trick often turns complex problems into cakewalks! Distributive Property Guide
  10. Check Your Work - After you've crunched all the numbers, retrace each step to ensure you didn't skip or reorder anything. A quick review can mean the difference between an A+ and an "almost there." Final Check Strategies
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