Grade 5 Math Practice Test: Multiplying Multi-Digit Whole Numbers
- Multiplying Multi-Digit Whole Numbers
- 10 questions
- 15 minutes
This test practices multiplying three- and four-digit numbers by one- and two-digit numbers with the standard algorithm and with partial products. Tip: estimate first, so you can spot an answer that is far too big or too small.
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 324 × 6?
Correct answer: C
4 × 6 = 24 (write 4, carry 2), 2 × 6 + 2 = 14 (write 4, carry 1), 3 × 6 + 1 = 19, so the product is 1,944. 1,924 forgets the first carried 2.
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Question 2
What is 47 × 23?
Correct answer: A
47 × 3 = 141 and 47 × 20 = 940; 141 + 940 = 1,081. 235 comes from writing 47 × 2 = 94 without the zero, as if the 2 were in the ones place.
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Question 3
What is 215 × 34?
Correct answer: D
215 × 4 = 860 and 215 × 30 = 6,450; 860 + 6,450 = 7,310. 1,505 multiplies 215 by 3 + 4 = 7 instead of by 34.
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Question 4
A school orders 28 boxes of pencils. Each box holds 144 pencils.
How many pencils does the school order?
Correct answer: B
144 × 8 = 1,152 and 144 × 20 = 2,880; 1,152 + 2,880 = 4,032. 1,440 adds 1,152 and 288, forgetting that the 2 in 28 means 20.
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Question 5
Which expression shows the partial products for 36 × 52?
Correct answer: B
Write 36 = 30 + 6 and 52 = 50 + 2, then multiply each part by each part: four partial products. 30 × 50 + 6 × 2 skips the two middle products, and the third choice uses 3 and 5 instead of 30 and 50.
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Question 6
Which is the best estimate of 389 × 52?
Correct answer: D
Round 389 to 400 and 52 to 50: 400 × 50 = 20,000. The exact product is 20,228, so 20,000 is very close.
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Question 7
A theater has 42 rows with 26 seats in each row. For one show, 785 tickets are sold, one per seat.
How many seats are empty?
Correct answer: A
The theater has 42 × 26 = 1,092 seats, and 1,092 − 785 = 307 seats are empty. 1,092 is the total number of seats, not the empty ones.
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Question 8
What is 1,206 × 15?
Correct answer: C
1,206 × 5 = 6,030 and 1,206 × 10 = 12,060; 6,030 + 12,060 = 18,090. 7,236 adds 6,030 and 1,206, forgetting that the 1 in 15 means 10.
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Question 9
One digit is missing in this equation: 3▢ × 25 = 950
What is the missing digit?
Correct answer: D
950 ÷ 25 = 38, and 38 × 25 = 950, so the missing digit is 8. Check another choice: 37 × 25 = 925, which is too small.
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Question 10
A bakery makes 135 muffins every day and is open every day of the week.
How many muffins does it make in 4 weeks?
Correct answer: A
4 weeks = 4 × 7 = 28 days, and 135 × 28 = 3,780 muffins. 540 multiplies by 4 days instead of 28 days, and 945 is only one week.
Questions you leave blank are not counted as wrong.