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Quizzes > Mathematics

Order of Operations Quiz: 15 Multiple-Choice Questions

Quick, free order of operations test. Instant results and explanations.

Editorial: Review CompletedCreated By: Michela GianelloUpdated Aug 27, 2025
Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art depicting elements related to Order of Operations Quiz

This order of operations quiz helps you practice PEMDAS on 15 multiple-choice problems and spot steps you might skip. Get instant scoring, see correct answers, and learn the right order to boost speed and accuracy. For more practice, try the pemdas quiz, an order of operations test, or a bidmas quiz.

3 + 5 * 2 = ?
10
16
13
8
According to PEMDAS, multiplication is done before addition. First compute 5 * 2 = 10, then add 3 to get 13.
(4 + 6) - 2 = ?
8
10
2
-4
Parentheses must be evaluated first, so 4 + 6 = 10, then subtract 2 to get 8. This ensures correct sequencing.
8 ÷ 2 + 3 = ?
2.5
7
1
11
Division comes before addition. Calculate 8 ÷ 2 = 4, then add 3 for a total of 7.
7 - 3 + 2 = ?
4
2
8
6
Subtraction and addition are handled left to right. First 7 - 3 = 4, then add 2 to get 6.
2 * (3 + 4) = ?
14
10
11
8
Parentheses take priority, so compute 3 + 4 = 7, then multiply by 2 to get 14.
2^3 * 3 + 1 = ?
17
15
10
25
Exponents are evaluated first: 2^3 = 8. Then multiply by 3 to get 24 and add 1 for a final result of 25.
(5 + 2)^2 - 3 = ?
22
46
28
18
Calculate inside parentheses: 5 + 2 = 7, then square to get 49 and subtract 3 to reach 46.
16 ÷ (2^2) + 1 = ?
3
8
17
5
First evaluate the exponent: 2^2 = 4. Then divide 16 ÷ 4 = 4 and add 1 to get 5.
3 + 4 * 2^2 = ?
14
23
19
11
Exponents come next: 2^2 = 4. Then multiply 4 * 4 = 16, and finally add 3 to total 19.
10 - 2 * (3 + 1) = ?
-2
4
6
2
Parentheses first: 3 + 1 = 4. Multiply 2 * 4 = 8 and subtract from 10 to get 2.
(3 + 5) / (2 + 2) = ?
0.5
2
4
1
Evaluate both sums: 3 + 5 = 8 and 2 + 2 = 4. Then divide 8 by 4 to obtain 2.
4 * 2^2 + 6 ÷ 3 = ?
18
8
20
14
Compute the exponent: 2^2 = 4, then multiply 4 * 4 = 16. Next divide 6 ÷ 3 = 2 and add to 16 for 18.
(8 - 3) * (2 + 4) = ?
36
30
24
45
Evaluate each parentheses: 8 - 3 = 5 and 2 + 4 = 6. Multiply to get 5 * 6 = 30.
3 * (2 + 5^1) - 4 = ?
23
17
10
15
First resolve the exponent: 5^1 = 5. Inside parentheses: 2 + 5 = 7. Multiply 3 * 7 = 21, then subtract 4 to get 17.
(6 + 4) ÷ 2^2 = ?
5
4
2.5
1
Parentheses give 6 + 4 = 10. Exponent yields 2^2 = 4. Then divide 10 by 4 to obtain 2.5.
(2 + (3^2 - 1)) * (2^3 ÷ 4) = ?
15
25
20
18
Inside the inner parentheses: 3^2 - 1 = 8, plus 2 gives 10. Then 2^3 = 8 divided by 4 gives 2, and 10 * 2 = 20.
5^2 - [3 * (4 + 1)] + 2^3 = ?
18
20
10
28
Compute 5^2 = 25. Inside brackets: 4 + 1 = 5, times 3 = 15. Then 2^3 = 8. So 25 - 15 + 8 = 18.
A recipe calls for 2 * (3 + 5) cups of flour. If each cup costs $0.50, what is the total cost?
$4
$8
$16
$2
Parentheses first: 3 + 5 = 8, multiplied by 2 gives 16 cups. At $0.50 per cup, 16 * 0.50 = $8.
((4 + 2)^2 - 3^3) ÷ (7 - 5) = ?
18
9
1.5
4.5
Inside the first parentheses: (4 + 2)^2 = 36 and 3^3 = 27, so 36 - 27 = 9. Then 7 - 5 = 2 and 9 ÷ 2 = 4.5.
2^3 + 3 * [(4 - 2)^2 + 1] - 5 = ?
13
18
20
23
Compute 2^3 = 8. Inside brackets: 4 - 2 = 2, squared is 4, plus 1 = 5, times 3 = 15. Then 8 + 15 - 5 = 18.
0
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Learning Outcomes

  1. Master the order of operations rules including PEMDAS
  2. Apply correct sequencing to multi-step calculations
  3. Identify common mistakes in arithmetic expressions
  4. Evaluate expressions with nested parentheses and exponents
  5. Demonstrate confidence in solving real-world math problems
  6. Analyse complex equations for accurate simplification

Cheat Sheet

  1. Understand the Order of Operations (PEMDAS) - Think of PEMDAS as your math adventure map: Parentheses first, then Exponents, followed by Multiplication and Division (left to right), and finally Addition and Subtraction (left to right). Mastering this order keeps your calculations on track and error-free.
  2. Apply Operations Inside Parentheses First - Parentheses are like hidden treasure chests: you always unlock them before moving on. For example, in 4 × (5 + 3), solving (5 + 3) gives you 8, and then you sail on to 4 × 8 = 32.
  3. Evaluate Exponents Before Other Operations - Exponents are your power-ups - use them right after parentheses. In 5 × 2², charge up by turning 2² into 4, then race ahead with 5 × 4 = 20 for the win.
  4. Perform Multiplication and Division from Left to Right - Treat multiplication and division like teammates working side by side: handle them in the order they appear from left to right. In 30 ÷ 5 × 3, divide 30 by 5 to get 6, then multiply 6 × 3 to score 18.
  5. Execute Addition and Subtraction from Left to Right - Finally, let addition and subtraction take the stage, marching from left to right. For 2 + 5 - 3, you add 2 + 5 = 7, then subtract 7 - 3 = 4, nailing the correct result.
  6. Recognize and Correct Common Mistakes - Watch out for sneaky slip-ups like swapping the order or rushing through steps. A classic trap is 2 + 5 × 3; if you add first, you get 21 instead of the correct 17 - so stay alert!
  7. Handle Nested Parentheses with Care - Nested parentheses are like Russian dolls: start with the innermost one and work your way out. In 5 + 2[10 - 3(4 - 2)] ÷ 2, unwrap (4 - 2) first, then tackle [10 - 3×2], and finally finish the rest.
  8. Apply PEMDAS to Real-World Problems - Use your order-of-operations savvy to solve real-world puzzles, from budgeting your snack stash to planning a road trip's distance. Accurate steps mean no surprises at checkout or pit stops!
  9. Practice with Complex Equations - Level up by tackling equations that mix several operations - each problem you conquer boosts your confidence. Regular practice makes PEMDAS feel like second nature in no time.
  10. Use Mnemonics to Remember PEMDAS - Turn PEMDAS into a catchy rhyme like "Please Excuse My Dear Aunt Sally" and sing it whenever you solve equations. A fun jingle can be a lifesaver during timed quizzes!
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