Primary 4 Mathematics · Chapter 2 · Answers and explanations
Lesson 2.1: Multiplication, Division and Remainders (answers)
Section A · Multiple choice 4 marks
1. Which division fact is in the same fact family as 6 × 9 = 54?1 mark
(A) 54 ÷ 6 = 9(B) 54 ÷ 9 = 9(C) 6 ÷ 54 = 9(D) 54 ÷ 6 = 8
Answer: (A) 54 ÷ 6 = 9A fact family uses the same three numbers. 6 × 9 = 54, so 54 ÷ 6 = 9 and 54 ÷ 9 = 6.
2. What is the remainder when 47 is divided by 6?1 mark
(A) 7(B) 5(C) 6(D) 1
Answer: (B) 56 × 7 = 42 and 47 − 42 = 5. The remainder is 5. (7 is the quotient.)
3. Which of these can NOT be the remainder when a number is divided by 8?1 mark
(A) 7(B) 4(C) 8(D) 1
Answer: (C) 8The remainder must always be smaller than the number we divide by. If it were 8 or more, we could make one more group of 8.
4. Ben has 29 counters. He puts them into groups of 6. How many full groups can he make?1 mark
(A) 5(B) 6(C) 3(D) 4
Answer: (D) 46 × 4 = 24 and 6 × 5 = 30 is too many. He makes 4 full groups with 29 − 24 = 5 counters left over.
Section B · Write your answer 11 marks
5. 63 ÷ 9 = □1 mark
Answer: 79 × 7 = 63, so 63 ÷ 9 = 7.
6. 8 × □ = 721 mark
Answer: 972 ÷ 8 = 9, so 8 × 9 = 72.
7. Divide 38 by 5. Give the quotient and the remainder.1 mark
Answer: Quotient 7, remainder 35 × 7 = 35 and 38 − 35 = 3. So 38 ÷ 5 = 7 remainder 3.
8. 85 ÷ 9 = □ remainder □1 mark
Answer: 9 remainder 49 × 9 = 81 and 85 − 81 = 4. So 85 ÷ 9 = 9 remainder 4.
9. A number divided by 6 gives a quotient of 8 and a remainder of 5. What is the number?1 mark
Answer: 53Multiply back and add the remainder: 6 × 8 = 48, then 48 + 5 = 53.
10. Siti packs 75 sweets into bags of 8. How many full bags does she pack? How many sweets are left over?2 marks
Answer: 9 bags; 3 sweets left75 ÷ 8 = 9 remainder 3, because 8 × 9 = 72 and 75 − 72 = 3. She fills 9 bags and has 3 sweets left over.
11. There are 100 children going on a trip. Each minibus seats 12 children. How many minibuses are needed so that every child has a seat?2 marks
Answer: 9 minibuses100 ÷ 12 = 8 remainder 4. 8 minibuses seat 96 children, so 4 children still need a seat. We need one more minibus: 8 + 1 = 9.
12. What is the smallest number that must be added to 94 so that the answer can be divided by 7 with no remainder?2 marks
Answer: 494 ÷ 7 = 13 remainder 3. 7 × 13 = 91 and 7 × 14 = 98. 98 − 94 = 4, so we add 4.
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