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Primary 5 Maths: Division of Fractions — Practice Paper 3
Primary 5 Maths: Division of Fractions — Practice Paper 3
Paper 3 concentrates on mixed numbers: change each mixed number into an improper fraction, multiply by the reciprocal of the divisor, and cancel before multiplying to keep the numbers small. The word problems are about cutting rope and packing sugar.
Quick answer 10 questions, about 25 minutes. Items 01 to 03 divide mixed numbers by unit fractions and by whole numbers; items 04 to 06 divide a mixed number by a proper fraction, one mixed number by another, and cut a 6 3/4 m rope; items 07 to 09 divide two mixed numbers, use 7/9 divided by 14/27 with cancelling, and pack 2 1/2 kg of sugar; item 10 redos multiplying the two fractions directly.
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)
- FoundationWhat is 2 1/3 divided by 1/3?
- FoundationWhat is 1 3/4 divided by 1/2?
- FoundationWhat is 3 1/2 divided by 7?
- IntermediateWhat is 2 2/5 divided by 3/5?
- IntermediateWhat is 4 1/2 divided by 1 1/2?
- IntermediateA rope 6 3/4 m long is cut into pieces of 3/4 m. How many pieces are there?
- ChallengeWhat is 3 1/3 divided by 2 2/9?
- ChallengeWhat is 7/9 divided by 14/27?
- Challenge2 1/2 kg of sugar is packed into bags of 1/4 kg. How many bags are there?
- Error redoA pupil works out 3/4 divided by 1/2 and gets 3/8. What went wrong, and what is the answer?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 7 | 2 1/3 is 7/3, and 7/3 x 3 = 7. |
| 2 | 3 1/2 (that is 7/2) | 7/4 x 2 = 14/4 = 7/2, which is 3 1/2. |
| 3 | 1/2 | In 7/2 x 1/7 the two 7s cancel, leaving 1/2. |
| 4 | 4 | 12/5 x 5/3: the two 5s cancel, giving 12/3 = 4. |
| 5 | 3 | Both become improper fractions: 9/2 x 2/3 = 18/6 = 3. |
| 6 | 9 pieces | 27/4 divided by 3/4 is 27/4 x 4/3 = 27/3 = 9 pieces. |
| 7 | 3/2 (that is 1 1/2) | 10/3 x 9/20 = 90/60, which simplifies to 3/2. |
| 8 | 3/2 (that is 1.5) | In 7/9 x 27/14 cancel 7 with 14 and 9 with 27 to get 3/2. |
| 9 | 10 bags | 5/2 divided by 1/4 is 5/2 x 4 = 20/2 = 10 bags. |
| 10 | The pupil multiplied the fractions directly; the answer is 3/4 x 2 = 3/2 | Dividing by 1/2 means multiplying by 2, so the answer is larger than 3/4: 3/2. |
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.
