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P4 Maths: The Relationship between Multiplication and Division (Paper 4 (error clinic))
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 4 (error clinic))
Paper 4 (error clinic): 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)
- FoundationIf 6 x 7 = 42, what is 42 / 6?
- FoundationCheck 54 / 6 = 9 with multiplication.
- FoundationIf ? x 7 = 63, what is the missing number?
- IntermediateWhat is 81 / 9?
- Intermediate50 / 8 = 6 remainder 2. How do you check it?
- IntermediateIf ? / 4 = 9, what is the missing number?
- ChallengeHow many hours are 300 minutes?
- ChallengeIf 12 x 5 = 60, what is 60 / 12?
- ChallengeA carton holds 24 bottles. How many cartons hold 96 bottles?
- Error redoFor 45 / 9 = 5 a pupil checks with 9 + 5 = 14. What is wrong?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 7. | Dividing by one factor returns the other factor: 42 / 6 = 7. |
| 2 | 6 x 9 = 54, the same as the dividend. | Divisor times quotient equals the dividend, which is what a check does. |
| 3 | 9. | 63 / 7 = 9, checked by 9 x 7 = 63. |
| 4 | 9. | Recall 9 x 9 = 81, so the quotient is 9. |
| 5 | 8 x 6 + 2 = 50. | The remainder 2 is smaller than the divisor 8, and the check matches the dividend. |
| 6 | 36. | 4 x 9 = %d, so the dividend is 36. |
| 7 | 5 hours. | There are 60 minutes in an hour, and 60 x 5 = 300. |
| 8 | 5. | Division reverses multiplication, so the quotient is the other factor, 5. |
| 9 | 4 cartons. | 96 / 24 = 4, checked by 24 x 4 = 96. |
| 10 | Addition is the wrong operation; it should be 9 x 5 = 45. | A check must use the inverse operation; adding the divisor and quotient proves nothing. |
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 →
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