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Order of Operations Quiz Challenge

Sharpen Your Order of Operations Skills Today

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

Use this Order of Operations quiz to practice PEMDAS on 15 multiple-choice problems and spot any steps you skip. See where you need more practice to build speed and accuracy before a test or homework check. For a change of pace, try the Bible Books Order or the Operations Management quiz .

3 + 5 * 2 = ?
10
13
8
16
According to PEMDAS, multiplication is done before addition. First compute 5 * 2 = 10, then add 3 to get 13.
(4 + 6) - 2 = ?
10
2
-4
8
Parentheses must be evaluated first, so 4 + 6 = 10, then subtract 2 to get 8. This ensures correct sequencing.
8 ÷ 2 + 3 = ?
7
1
2.5
11
Division comes before addition. Calculate 8 ÷ 2 = 4, then add 3 for a total of 7.
7 - 3 + 2 = ?
4
2
6
8
Subtraction and addition are handled left to right. First 7 - 3 = 4, then add 2 to get 6.
2 * (3 + 4) = ?
10
11
8
14
Parentheses take priority, so compute 3 + 4 = 7, then multiply by 2 to get 14.
2^3 * 3 + 1 = ?
25
15
10
17
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 = ?
28
22
46
18
Calculate inside parentheses: 5 + 2 = 7, then square to get 49 and subtract 3 to reach 46.
16 ÷ (2^2) + 1 = ?
5
3
8
17
First evaluate the exponent: 2^2 = 4. Then divide 16 ÷ 4 = 4 and add 1 to get 5.
3 + 4 * 2^2 = ?
23
14
11
19
Exponents come next: 2^2 = 4. Then multiply 4 * 4 = 16, and finally add 3 to total 19.
10 - 2 * (3 + 1) = ?
6
-2
4
2
Parentheses first: 3 + 1 = 4. Multiply 2 * 4 = 8 and subtract from 10 to get 2.
(3 + 5) / (2 + 2) = ?
4
0.5
2
1
Evaluate both sums: 3 + 5 = 8 and 2 + 2 = 4. Then divide 8 by 4 to obtain 2.
4 * 2^2 + 6 ÷ 3 = ?
14
18
20
8
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) = ?
30
24
36
45
Evaluate each parentheses: 8 - 3 = 5 and 2 + 4 = 6. Multiply to get 5 * 6 = 30.
3 * (2 + 5^1) - 4 = ?
10
23
17
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 = ?
4
5
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) = ?
18
20
25
15
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 = ?
20
28
18
10
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?
$8
$4
$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) = ?
9
1.5
4.5
18
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 = ?
18
20
23
13
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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