Grade 6 Math Practice Test: Exponents and Order of Operations
- Exponents and Order of Operations
- 10 questions
- 12 minutes
This test practices writing and evaluating powers and using the order of operations when an expression has exponents. Tip: work out parentheses first, then exponents, then multiplication and division, then addition and subtraction.
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 the value of 43?
Correct answer: C
43 = 4 × 4 × 4 = 64. 12 comes from multiplying 4 × 3, and 81 is 34.
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Question 2
Which expression is equal to 5 × 5 × 5 × 5?
Correct answer: C
5 is used as a factor 4 times, so the base is 5 and the exponent is 4. 45 would mean 4 used as a factor 5 times.
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Question 3
What is the value of (12)3?
Correct answer: A
12 × 12 × 12 = 18. 32 comes from multiplying 12 by 3.
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Question 4
What is the value of 0.32?
Correct answer: D
0.3 × 0.3 = 0.09, since tenths times tenths gives hundredths. 0.6 comes from multiplying 0.3 by 2.
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Question 5
What is the value of 18 − 23 × 2?
Correct answer: A
Exponent first: 23 = 8. Then multiply: 8 × 2 = 16. Then subtract: 18 − 16 = 2. Subtracting before multiplying gives 20.
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Question 6
What is the value of (6 + 4)2 ÷ 5?
Correct answer: B
Parentheses first: 6 + 4 = 10. Exponent: 102 = 100. Divide: 100 ÷ 5 = 20. 4 comes from treating the exponent 2 as "times 2."
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Question 7
What is the value of 3 × 42 − 10 ÷ 2?
Correct answer: D
42 = 16, 3 × 16 = 48 and 10 ÷ 2 = 5, so 48 − 5 = 43. 139 squares 3 × 4 instead of only the 4.
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Question 8
What is the value of 2x3 when x = 3?
Correct answer: C
The exponent applies only to x: 33 = 27, and 2 × 27 = 54. 216 is (2 × 3)3, which cubes the 2 as well.
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Question 9
A square tile has sides that are 7 cm long. Which shows its area?
Correct answer: A
The area of a square is side × side = 72 = 49 square centimeters. 28 cm is the perimeter, and 73 would be the volume of a cube.
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Question 10
In the expression 64, what does the exponent 4 tell you?
Correct answer: B
64 = 6 × 6 × 6 × 6, so the exponent counts how many times the base 6 is used as a factor. It does not mean 6 × 4.
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