Grade 6 Math Practice Test: Multi-Digit Division and Decimal Operations
- Multi-Digit Division and Decimal Operations
- 10 questions
- 15 minutes
This test practices the standard algorithm for multi-digit division and all four operations with decimals, including word problems with money and lengths. Tip: line up the decimal points when you add or subtract, and estimate to check where the decimal point goes.
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.
Your result
- 0 correct
- 0 wrong
- 0 blank
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Question 1
What is 9,483 ÷ 29?
Correct answer: D
29 × 300 = 8,700; 9,483 − 8,700 = 783; 29 × 27 = 783. So the quotient is 327. Check: 327 × 29 = 9,483.
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Question 2
What is 15.6 + 8.75?
Correct answer: A
Line up the decimal points: 15.60 + 8.75 = 24.35. 10.31 lines up the last digits instead, as if the problem were 1.56 + 8.75.
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Question 3
What is 40 − 12.87?
Correct answer: B
Write 40 as 40.00: 40.00 − 12.87 = 27.13. Check: 27.13 + 12.87 = 40. 28.87 subtracts 12 and then adds 0.87 back.
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Question 4
What is 3.6 × 0.25?
Correct answer: C
36 × 25 = 900, and the factors have 1 + 2 = 3 decimal places, so the product is 0.900 = 0.9. Estimate: one quarter of 3.6 is a little less than 1.
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Question 5
What is 7.2 ÷ 0.08?
Correct answer: C
Multiply both numbers by 100: 720 ÷ 8 = 90. Check: 90 × 0.08 = 7.2. 9 moves the decimal point in only one of the numbers.
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Question 6
Gas costs $3.48 per gallon. Dev buys 12.5 gallons.
How much does he pay?
Correct answer: B
3.48 × 12.5 = 43.5, so he pays $43.50. $41.76 is the cost of only 12 gallons, and $4.35 puts the decimal point in the wrong place.
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Question 7
What is 156.8 ÷ 3.2?
Correct answer: D
Multiply both numbers by 10: 1,568 ÷ 32 = 49. Check: 49 × 3.2 = 156.8. Estimate: 150 ÷ 3 = 50, so 4.9 and 490 are too far off.
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Question 8
A rope is 18.6 meters long. It is cut into pieces that are each 1.55 meters long.
How many pieces are there?
Correct answer: A
18.6 ÷ 1.55 = 1,860 ÷ 155 = 12 pieces. Check: 12 × 1.55 = 18.6.
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Question 9
What is 2,436 ÷ 0.6?
Correct answer: C
Multiply both numbers by 10: 24,360 ÷ 6 = 4,060. The zero in the tens place is easy to drop: 6 does not go into the 3 of 24,360 by itself, so write 0 there.
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Question 10
Ana buys 3 notebooks for $2.75 each and one pen for $1.40. She pays with a $20 bill.
How much change should she get?
Correct answer: A
The notebooks cost 3 × 2.75 = $8.25, and with the pen the total is $9.65. Change = 20 − 9.65 = $10.35. $11.75 forgets the pen, and $9.65 is the total, not the change.
Questions you leave blank are not counted as wrong.
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