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Primary 5 Maths: Division of Fractions — Practice Paper 4
Primary 5 Maths: Division of Fractions — Practice Paper 4
Paper 4 puts fraction division back into everyday settings: pouring water into cups, sharing sweets, cutting cloth into bands. It also adds problems that work backwards from a quotient to the number being divided, and compares dividing by a fraction with multiplying by it.
Quick answer 10 questions, about 25 minutes. Items 01 to 03 cover cups filled from a jug, two fractions with the same numerator, and a fraction divided by a whole number; items 04 to 06 work backwards from a quotient twice and share sweets; items 07 to 09 cancel before multiplying, compare dividing and multiplying by 1/6, and cut cloth into bands; item 10 redos multiplying where the pupil should have divided.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 questions |
| Suggested time | 25 minutes |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: Primary 5 Maths: Division of Fractions — Tutor Lesson Plan |
| Level | Primary 5 |
02 Questions (10 items)
- FoundationA jug holds 1 1/2 L of water and each cup takes 1/8 L. How many cups can be filled?
- FoundationWhat is 5/8 divided by 5/16?
- FoundationWhat is 2/3 divided by 4?
- IntermediateA number divided by 3/4 gives 2. Find the number.
- Intermediate3/5 kg of sweets is shared at 3/20 kg per person. How many people are there?
- IntermediateA number divided by 5/8 gives 4/5. Find the number.
- ChallengeWhat is 4/7 divided by 8/21?
- ChallengeHow much larger is 2/3 divided by 1/6 than 2/3 multiplied by 1/6?
- ChallengeA cloth 7/8 m long makes bands of 7/16 m each. How many bands are there?
- Error redoA pupil works out 5/6 divided by 10 and gets 50/6. What went wrong, and what is the answer?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 12 cups | 3/2 divided by 1/8 is 3/2 x 8 = 12 cups. |
| 2 | 2 | 5/8 x 16/5: the two 5s cancel, leaving 16/8 = 2. |
| 3 | 1/6 | 2/3 x 1/4 = 2/12 = 1/6. |
| 4 | 3/2 (that is 1 1/2) | To undo the division, multiply: 2 x 3/4 = 6/4 = 3/2. |
| 5 | 4 people | 3/5 divided by 3/20 is 3/5 x 20/3 = 20/5 = 4 people. |
| 6 | 1/2 | 4/5 x 5/8 = 20/40 = 1/2. |
| 7 | 3/2 (that is 1.5) | In 4/7 x 21/8 cancel 4 with 8 and 7 with 21 to get 3/2. |
| 8 | 35/9 (that is 3 8/9) | The quotient is 4 and the product is 1/9, so 4 – 1/9 = 36/9 – 1/9 = 35/9. |
| 9 | 2 bands, with nothing left over | 7/8 divided by 7/16 is 7/8 x 16/7 = 16/8 = 2 bands. |
| 10 | The pupil multiplied instead of dividing; the answer is 5/6 x 1/10 = 5/60 = 1/12 | Dividing by 10 means multiplying by 1/10, giving 5/60, which simplifies to 1/12. |
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.
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.
