Grade 5 Math Practice Test: Dividing by Two-Digit Divisors
- Dividing by Two-Digit Divisors
- 10 questions
- 15 minutes
This test practices dividing numbers up to four digits by two-digit divisors, including remainders and word problems where you must decide what the remainder means. Tip: check a quotient by multiplying it by the divisor.
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
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Question 1
What is 864 ÷ 12?
Correct answer: B
12 × 70 = 840 and 864 − 840 = 24 = 12 × 2, so 864 ÷ 12 = 72. Check: 72 × 12 = 864. 702 writes an extra zero in the quotient.
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Question 2
What is 1,350 ÷ 45?
Correct answer: D
45 × 30 = 1,350, so the quotient is 30. 3 forgets the zero: 45 × 3 is only 135.
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Question 3
What is 7,488 ÷ 24?
Correct answer: A
24 × 300 = 7,200; 7,488 − 7,200 = 288 = 24 × 12. So the quotient is 300 + 12 = 312. Check: 312 × 24 = 7,488.
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Question 4
What is 500 ÷ 16?
Correct answer: C
16 × 31 = 496 and 500 − 496 = 4, so the answer is 31 R4. 30 R20 is not finished, because a remainder must be less than the divisor 16.
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Question 5
236 students are going on a field trip. Each bus can carry 48 students.
How many buses are needed so that every student has a seat?
Correct answer: A
236 ÷ 48 = 4 R44. Four buses carry 192 students, and the other 44 students still need a bus, so 5 buses are needed. Answering 4 ignores the remainder.
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Question 6
A roll of ribbon is 952 inches long. Mia cuts it into pieces that are each 28 inches long.
How many pieces does she get?
Correct answer: B
952 ÷ 28 = 34, because 28 × 34 = 952. 340 adds a zero that is not there: 28 × 340 is 9,520.
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Question 7
Which is the best estimate of 3,215 ÷ 79?
Correct answer: C
Use compatible numbers: 3,215 is close to 3,200 and 79 is close to 80. 3,200 ÷ 80 = 40. The exact quotient is about 40.7.
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Question 8
Kai found that 1,036 ÷ 37 = 28.
Which calculation can he use to check his answer?
Correct answer: D
Division is checked with multiplication: divisor × quotient should equal the dividend. 37 × 28 = 1,036, so his answer is correct.
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Question 9
A rectangular garden has an area of 1,728 square feet. It is 32 feet wide.
How long is the garden?
Correct answer: C
Length = area ÷ width = 1,728 ÷ 32 = 54 feet. Check: 54 × 32 = 1,728.
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Question 10
A factory packs 2,580 bottles into cases of 24 bottles each.
How many full cases can it pack, and how many bottles are left over?
Correct answer: B
24 × 107 = 2,568 and 2,580 − 2,568 = 12, so there are 107 full cases with 12 bottles left over. 170 swaps the digits of the quotient.
Questions you leave blank are not counted as wrong.
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