Primary 4 Mathematics · Chapter 3 · Answers and explanations
Lesson 3.5: Division of 4-Digit Numbers (answers)
Section A · Multiple choice 4 marks
1. What is 6,372 ÷ 3?1 mark
(A) 2,024(B) 2,124(C) 212(D) 2,134
Answer: (B) 2,1246 ÷ 3 = 2. Bring down 3 to make 3. 3 ÷ 3 = 1. Bring down 7 to make 7. 7 ÷ 3 = 2 r 1. Bring down 2 to make 12. 12 ÷ 3 = 4. So 6,372 ÷ 3 = 2,124.
2. Find the quotient and the remainder of 3,528 ÷ 5.1 mark
Answer: (C) Quotient 705; remainder 33 is smaller than 5, so use the next digit too. 35 ÷ 5 = 7. Bring down 2 to make 2. 2 ÷ 5 = 0 r 2 (write 0). Bring down 8 to make 28. 28 ÷ 5 = 5 r 3. So 3,528 ÷ 5 = 705 remainder 3.
3. What is 8,056 ÷ 8?1 mark
(A) 107(B) 1,070(C) 1,700(D) 1,007
Answer: (D) 1,0078 ÷ 8 = 1. Bring down 0 to make 0. 0 ÷ 8 = 0 (write 0). Bring down 5 to make 5. 5 ÷ 8 = 0 r 5 (write 0). Bring down 6 to make 56. 56 ÷ 8 = 7. So 8,056 ÷ 8 = 1,007. The 0 in the hundreds and tens places must be kept, so the answer is 1,007.
4. Round 7,912 to the nearest thousand to estimate 7,912 ÷ 4. What is the estimate?1 mark
(A) 2,000(B) 200(C) 20,000(D) 1,000
Answer: (A) 2,0007,912 is close to 8,000. Estimate: 8,000 ÷ 4 = 2,000. (The exact answer is 1,978.)
Section B · Write your answer 11 marks
5. What is 5,418 ÷ 6?1 mark
Answer: 9035 is smaller than 6, so use the next digit too. 54 ÷ 6 = 9. Bring down 1 to make 1. 1 ÷ 6 = 0 r 1 (write 0). Bring down 8 to make 18. 18 ÷ 6 = 3. So 5,418 ÷ 6 = 903.
6. Find the quotient and the remainder of 7,205 ÷ 9.1 mark
Answer: Quotient 800; remainder 57 is smaller than 9, so use the next digit too. 72 ÷ 9 = 8. Bring down 0 to make 0. 0 ÷ 9 = 0 (write 0). Bring down 5 to make 5. 5 ÷ 9 = 0 r 5 (write 0). So 7,205 ÷ 9 = 800 remainder 5.
7. What is 2,436 ÷ 7?1 mark
Answer: 3482 is smaller than 7, so use the next digit too. 24 ÷ 7 = 3 r 3. Bring down 3 to make 33. 33 ÷ 7 = 4 r 5. Bring down 6 to make 56. 56 ÷ 7 = 8. So 2,436 ÷ 7 = 348.
8. What is 4,008 ÷ 4?1 mark
Answer: 1,0024 ÷ 4 = 1. Bring down 0 to make 0. 0 ÷ 4 = 0 (write 0). Bring down 0 to make 0. 0 ÷ 4 = 0 (write 0). Bring down 8 to make 8. 8 ÷ 4 = 2. So 4,008 ÷ 4 = 1,002. Write 0 each time the digit is too small to divide.
9. Find the quotient and the remainder of 8,125 ÷ 3.1 mark
Answer: Quotient 2,708; remainder 18 ÷ 3 = 2 r 2. Bring down 1 to make 21. 21 ÷ 3 = 7. Bring down 2 to make 2. 2 ÷ 3 = 0 r 2 (write 0). Bring down 5 to make 25. 25 ÷ 3 = 8 r 1. So 8,125 ÷ 3 = 2,708 remainder 1.
10. A store has 3,257 pencils. It packs them into packs of 6. How many full packs can it make, and how many pencils are left over?2 marks
Answer: 542 full packs; 5 pencils left overDivide by 6. 3 is smaller than 6, so use the next digit too. 32 ÷ 6 = 5 r 2. Bring down 5 to make 25. 25 ÷ 6 = 4 r 1. Bring down 7 to make 17. 17 ÷ 6 = 2 r 5. So 3,257 ÷ 6 = 542 remainder 5. So there are 542 full packs and 5 pencils left over.
11. A factory packs 7,254 bolts equally into 9 boxes. A shop buys 4 boxes. How many bolts does the shop buy?2 marks
Answer: 3,224Bolts in 1 box: 7,254 ÷ 9. 7 is smaller than 9, so use the next digit too. 72 ÷ 9 = 8. Bring down 5 to make 5. 5 ÷ 9 = 0 r 5 (write 0). Bring down 4 to make 54. 54 ÷ 9 = 6. So 1 box has 806 bolts. Bolts in 4 boxes: 806 × 4 = 3,224.
12. Mei pours 8,400 ml of juice equally into 5 bottles. She then pours the juice from 2 bottles into a jug. How much juice is in the jug?2 marks
Answer: 3,360 mlJuice in 1 bottle: 8,400 ÷ 5 = 1,680 ml (8 ÷ 5 = 1 r 3, 34 ÷ 5 = 6 r 4, 40 ÷ 5 = 8, 0 ÷ 5 = 0). Juice in 2 bottles: 1,680 × 2 = 3,360 ml.
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