Pre-Algebra Practice Test: Order of Operations
- Order of Operations
- 10 questions
- 12 minutes
This test checks whether you apply the order of operations correctly: parentheses, exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Tip: multiplication does not always come before division; work left to right.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
What is 8 + 4 × 3?
Correct answer: C
Multiply first: 4 × 3 = 12, then 8 + 12 = 20. The answer 36 comes from adding first.
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Question 2
What is 20 − 12 ÷ 4?
Correct answer: A
Divide before subtracting: 12 ÷ 4 = 3, then 20 − 3 = 17. Subtracting first gives 8 ÷ 4 = 2.
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Question 3
What is 3 × (5 + 2)2?
Correct answer: B
Parentheses first (7), then the exponent (49), then multiply: 3 × 49 = 147. The answer 441 squares 3 × 7 instead of only the 7.
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Question 4
What is 18 ÷ 3 × 2?
Correct answer: D
Multiplication and division have the same rank, so work left to right: 18 ÷ 3 = 6, then 6 × 2 = 12. Multiplying first gives 18 ÷ 6 = 3.
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Question 5
What is 23 + 4 × 5?
Correct answer: A
The exponent comes first: 2³ = 8. Then 4 × 5 = 20, and 8 + 20 = 28. Reading 2³ as 2 × 3 gives 26.
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Question 6
What is [12 − (3 + 5)] × 6?
Correct answer: D
Start with the innermost parentheses: 3 + 5 = 8. Then 12 − 8 = 4 and 4 × 6 = 24. The answer 84 comes from computing 12 − 3 + 5 inside the brackets.
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Question 7
What is 36 ÷ (4 + 2) − 1?
Correct answer: C
Parentheses first: 4 + 2 = 6. Then 36 ÷ 6 = 6 and 6 − 1 = 5. The answer 10 ignores the parentheses.
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Question 8
Which expression is equal to 30?
Correct answer: B
The parentheses make the addition happen first: 10 × 3 = 30. The other expressions equal 18, 27 and 16.
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Question 9
What is the value of 14 + 69 − 4?
Correct answer: A
A fraction bar works like parentheses around the top and the bottom: (14 + 6) ÷ (9 − 4) = 20 ÷ 5 = 4.
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Question 10
What is −32 + 10?
Correct answer: C
The exponent applies only to 3, not to the minus sign: −3² = −9, and −9 + 10 = 1. The answer 19 treats it as (−3)² = 9.
Questions you leave blank are not counted as wrong.
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