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P3 Maths: Long Division (Paper 3 (challenge))
P3 Maths: Long Division (Paper 3 (challenge))
Paper 3 (challenge): ten long-division questions on one-digit divisors, remainders, zeros in the quotient, checking and word problems, with answers and one-line notes.
Direct answers Level: P3 maths; format: long division, remainders, zeros in the quotient, checking, word problems.
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: P3 Maths: Long Division |
| Level | P3 |
02 Questions (10 items)
- FoundationUse long division to work out 945 / 7.
- FoundationUse long division to work out 1008 / 8.
- FoundationUse long division to work out 2156 / 4.
- IntermediateUse long division to work out 3675 / 5.
- IntermediateUse long division to work out 4032 / 9.
- IntermediateUse long division to work out 1234 / 6, giving the quotient and the remainder.
- ChallengeA number divided by 8 gives quotient 37 and remainder 5. What is the number?
- ChallengeHow many groups of $8 can be made from $1250, and how much is left?
- ChallengeUse long division to work out 805 / 5 and check with multiplication.
- Error redoA pupil writes 500 / 4 as quotient 120 with remainder 20. What went wrong?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 135. | 9 / 7 gives 1 with 2 left, 24 / 7 gives 3 with 3 left, and 35 / 7 = 5, so the quotient is 135. |
| 2 | 126. | 10 / 8 gives 1 with 2 left, 20 / 8 gives 2 with 4 left, and 48 / 8 = 6, so the quotient is 126. |
| 3 | 539. | 21 / 4 gives 5 with 1 left, 15 / 4 gives 3 with 3 left, and 36 / 4 = 9, so the quotient is 539. |
| 4 | 735. | 36 / 5 gives 7 with 1 left, 17 / 5 gives 3 with 2 left, and 25 / 5 = 5, so the quotient is 735. |
| 5 | 448. | 40 / 9 gives 4 with 4 left, 43 / 9 gives 4 with 7 left, and 72 / 9 = 8, so the quotient is 448. |
| 6 | Quotient 205, remainder 4. | 12 / 6 = 2, the 3 cannot be shared so a 0 goes in, and 34 / 6 gives 5 with 4 left; the answer is 205 remainder 4. |
| 7 | 301. | 8 x 37 = 296, and adding the remainder 5 gives 301; check that 301 / 8 is 37 remainder 5. |
| 8 | 156 groups, 2 dollars left. | 12 / 8 gives 1 with 4 left, 45 / 8 gives 5 with 5 left, and 50 / 8 gives 6 with 2 left, so 156 groups with $2 left. |
| 9 | 161. | 8 / 5 gives 1 with 3 left, 30 / 5 = 6 and 5 / 5 = 1, so the quotient is 161; 161 x 5 = 805 confirms it. |
| 10 | It should be 125. | A remainder of 20 is larger than the divisor 4, so more sharing is possible; 500 / 4 = 125 exactly. |
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; if the remainder is not smaller than the divisor, the quotient is one too small.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.