Grade 4 Math Practice Test: Multi-Digit Multiplication and Division
- Multi-Digit Multiplication and Division
- 12 questions
- 15 minutes
This test covers multiplying numbers up to four digits by one-digit numbers, two-digit by two-digit multiplication, division with remainders, and word problems where you decide what to do with the remainder. Tip: estimate first, so you can tell whether your answer is reasonable.
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 2,347 × 6?
Correct answer: A
Multiply each place and regroup: 7 × 6 = 42 (write 2, carry 4), 4 × 6 + 4 = 28 (write 8, carry 2), 3 × 6 + 2 = 20 (write 0, carry 2), 2 × 6 + 2 = 14, so the product is 14,082. 12,842 comes from writing the ones digit of each product and never adding the regrouped digits.
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Question 2
What is 36 × 47?
Correct answer: D
Break 47 into 40 + 7: 36 × 40 = 1,440 and 36 × 7 = 252, so 1,440 + 252 = 1,692. 396 comes from multiplying 36 × 4 instead of 36 × 40, which forgets that the 4 stands for 4 tens.
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Question 3
Mia used an area model to find 23 × 15.
× 20 3 10 200 30 5 ☐ 15 Which number belongs in the box?
Correct answer: C
The box is where the row for 5 meets the column for 20, so it holds 5 × 20 = 100. Then 23 × 15 = 200 + 30 + 100 + 15 = 345. 25 adds 5 + 20 instead of multiplying.
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Question 4
What is 1,847 ÷ 6?
Correct answer: B
6 goes into 18 hundreds 3 times, into 4 tens 0 times, and into 47 ones 7 times with 5 left over: 307 R 5. Check: 6 × 307 + 5 = 1,847. 37 R 5 forgets to write the 0 in the tens place.
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Question 5
214 students are going on a field trip. Each van holds 8 students. How many vans are needed so that every student has a seat?
Correct answer: C
214 ÷ 8 = 26 R 6. Twenty-six full vans carry 208 students, and the 6 students who are left still need a seat, so one more van is needed: 27 vans. 26 ignores the remainder.
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Question 6
A baker has 250 eggs. Each batch of cakes uses 6 eggs. How many full batches can she make?
Correct answer: D
250 ÷ 6 = 41 R 4, because 6 × 41 = 246. The 4 leftover eggs are not enough for another batch, so she can make 41 full batches. A 42nd batch would need 252 eggs, so rounding up is wrong here.
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Question 7
Ms. Ortiz shares 135 pencils equally among 8 tables. Each table gets as many pencils as possible. How many pencils are left over?
Correct answer: A
135 ÷ 8 = 16 R 7, since 8 × 16 = 128 and 135 − 128 = 7. The question asks for the pencils left over, so the answer is the remainder, 7. 16 is the number of pencils each table gets.
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Question 8
A store sold 289 boxes of markers. Each box has 8 markers. Which is the best estimate of the number of markers sold?
Correct answer: C
Round 289 to the nearest hundred, 300, and multiply: 300 × 8 = 2,400 (the exact answer is 2,312). 1,600 rounds 289 down to 200, which is much farther away than 300.
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Question 9
A theater has 24 rows with 18 seats in each row. For one show, 385 tickets were sold, one for each seat. How many seats were empty?
Correct answer: A
First find the number of seats: 24 × 18 = 432. Then subtract the tickets sold: 432 − 385 = 47 empty seats. 432 is the total number of seats, so it skips the second step.
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Question 10
A factory packs 2,736 crayons into boxes of 8. How many boxes does it fill?
Correct answer: B
2,736 ÷ 8 = 342, and you can check it: 8 × 342 = 2,736. 324 mixes up the tens and ones digits (8 × 324 = 2,592), and 2,728 subtracts 8 once instead of dividing.
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Question 11
Ravi has 5 bags with the same number of marbles in each bag, plus 7 loose marbles. He has 92 marbles in all. Which equation can be used to find m, the number of marbles in each bag?
Correct answer: B
5 bags of m marbles is 5 × m, and the 7 loose marbles are added on: 5 × m + 7 = 92. Solving gives 5 × m = 85, so m = 17. 5 × 7 + m would mean 5 groups of 7, which is not what the bags hold.
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Question 12
A truck carries 64 crates. Each crate holds 25 melons. How many melons does the truck carry?
Correct answer: D
64 × 25 = 64 × 20 + 64 × 5 = 1,280 + 320 = 1,600. 1,220 multiplies only tens by tens (60 × 20) and ones by ones (4 × 5) and leaves out the other two partial products.
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