Mastering PEMDAS: The Order of Operations Quiz
Challenge your understanding of PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) with medium-difficulty multiple-choice questions that apply key mathematical principles.
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Quiz Questions & Answers
Review every prompt, the correct responses, and helpful context to prep for your own run-through.
Question 1: What does the acronym PEMDAS stand for in the order of operations?
Parentheses, Exponents, Modulo, Division, Addition, Subtraction
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Powers, Exponents, Multiplication, Division, Addition, Subtraction
Parentheses, Equations, Multiplication, Division, Addition, Subtraction
Question 2: Evaluate the expression: 10 - 2 × 3 + 1. What is the correct result following PEMDAS?
11
15
5
9
Question 3: What happens if you ignore the order of operations in 5 + 4 × 2 and calculate left to right?
You get 22
You get the same result as PEMDAS
You get 9
You get 18 instead of the correct 13
Question 4: In the scenario of calculating the area of a rectangle with length 6 + 3 and width 4, which expression follows PEMDAS correctly?
6 + (3 × 4) = 18
(6 + 3) × 4 = 36
6 × 3 + 4 = 22
6 + 3 × 4 = 18
Question 5: Is it a myth that multiplication always comes before division in PEMDAS, or is there a nuance?
It's a myth; multiplication and division have equal precedence and are performed left to right
They are not part of PEMDAS
Division always comes first
Multiplication always comes first
Question 6: Simplify 2³ + 4 ÷ 2 using PEMDAS. What is the value?
10
4
14
12
Question 7: When evaluating 8 ÷ 2 + 3 × 2, why is the order important for the final result?
All operations left to right: 8 ÷ 2 =4, +3=7, ×2=14
Multiplication first: 3 ×2=6, 8÷2+6=10
Addition first: 2 + 3 =5, then 8 ÷5 ×2=3.2
Division and multiplication are same level, left to right: 8 ÷ 2 = 4, +3=7, ×2=14
Question 8: How do parentheses affect the order in 2 × (3 + 4) versus (2 × 3) + 4?
They make addition first always
They have no effect
They switch multiplication and addition
Parentheses override the default order, changing 14 to 10