中文（繁體）
中文（简体）
English
P4 Maths: The Relationship between Multiplication and Division (Paper 3 (challenge))
Tutor Prep Guide · Inverse operations; two divisions from one multiplication fact; checking divisions with multiplication; remainders; missing factors and missing dividends
P4 Maths: The Relationship between Multiplication and Division (Paper 3 (challenge))
Paper 3 (challenge): ten questions on the inverse link between multiplication and division, two divisions from one fact, checking with multiplication, remainders, and missing factors or dividends, with answers and one-line notes.
Direct answers Level: P4 maths; format: inverse operations, two divisions from one fact, checking divisions with multiplication, remainders, missing factors and missing dividends.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P4 Maths: The Relationship between Multiplication and Division |
| Level | P4 |
02 Questions (10 items)
- FoundationTwo numbers multiply to 96; one of them is 8. What is the other?
- FoundationIf 12 x ? = 144, what is the missing number?
- FoundationCheck 100 / 7 = 14 remainder 2 by multiplication.
- IntermediateIf ? / 9 = 8 remainder 4, what is the missing number?
- IntermediateA number divided by 6 gives 12. What is that number divided by 8?
- IntermediateIf 24 x 3 = 72, then 72 / 24 = ? (no fresh calculation needed)
- ChallengeHow many multiplication and division sentences follow from 5 x 8 = 40?
- ChallengeTwo numbers multiply to 108; one is 9. What is their sum?
- ChallengeUse 9 x 8 = 72 to work out 720 / 9.
- Error redoIs 5 / 0 equal to 0?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 12. | 96 / 8 = 12, checked by 8 x 12 = 96. |
| 2 | 12. | 144 / 12 = 12, so both factors happen to be equal. |
| 3 | 7 x 14 + 2 = 100. | Add the remainder back; a remainder of 2 is valid because it is smaller than the divisor 7. |
| 4 | 76. | Dividend = divisor x quotient + remainder = 9 x 8 + 4. |
| 5 | 72 / 8 = 9. | First find the number with 6 x 12 = 72, then divide it by 8. |
| 6 | 3. | Division reverses multiplication, so the quotient is simply the other factor, 3. |
| 7 | 4. | 5 x 8 = 40, 8 x 5 = 40, 40 / 5 = 8 and 40 / 8 = 5 give four sentences in all. |
| 8 | 9 + 12 = 21. | First find the other factor with 108 / 9 = 12, then add; asking for the sum instead of the product is the usual trap. |
| 9 | 80. | 720 is ten times 72, so the quotient is ten times 8, which is 80. |
| 10 | No. You cannot divide by zero. | Division by zero is undefined; only 0 / 5 = 0 is valid. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Check the answers; for a wrong item write divisor x quotient + remainder and see whether it equals the dividend.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.