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Primary 4 Maths: Equivalent Fractions and Decimals — Practice Paper 3 (10 Questions)
Primary 4 Maths: Equivalent Fractions and Decimals — Practice Paper 3 (10 Questions)
Paper 3 links expanding, reducing and converting: expand and reduce first, then change fractions to decimals and back, compare and order three values, add eighths, compare on a common denominator, and finish with the “0.34 for 3/4” error.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 cover expanding, reducing and fraction to decimal; items 04 to 06 cover decimal to fraction, comparing a fraction with a decimal, and a chain of equal fractions; items 07 to 09 order three values, add eighths and compare on eighteenths; item 10 redoes copying the digits instead of dividing.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 questions |
| Suggested time | 20 minutes |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: Primary 4 Maths: Equivalent Fractions and Decimals — Tutor Lesson Plan |
| Level | Primary 4 |
02 Questions (10 items)
- FoundationWrite 3/5 as a fraction with denominator 20.
- FoundationReduce 36/48 to its simplest form.
- FoundationWrite 7/8 as a decimal.
- IntermediateWrite 0.65 as a fraction in its simplest form.
- IntermediateWhich is larger, 5/8 or 0.6?
- IntermediateWrite the next three fractions equal to 2/3, each with a different denominator.
- ChallengeArrange 3/8, 2/5 and 0.45 in ascending order.
- ChallengeWhich fraction in its simplest form equals 0.125? What is 0.125 + 3/8?
- ChallengeWhich is larger, 5/6 or 7/9, and by how much?
- Error redoA student wrote 3/4 as 0.34 and 2/5 as 0.25. What is wrong, and what are the correct decimals?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 12/20 | 5 × 4 = 20, so the numerator is 3 × 4 = 12. |
| 2 | 3/4 | The highest common factor of 36 and 48 is 12; divide both by 12 to get 3/4. |
| 3 | 0.875 | 7 ÷ 8 = 0.875: divide the numerator by the denominator. |
| 4 | 13/20 | 0.65 = 65/100, and dividing both by 5 gives 13/20. |
| 5 | 5/8 (0.625) is larger | 5 ÷ 8 = 0.625, which is 0.025 more than 0.6; as fortieths 5/8 = 25/40 and 0.6 = 24/40. |
| 6 | 4/6, 6/9 and 8/12 | Multiply top and bottom by 2, 3 and 4 to get 4/6, 6/9 and 8/12; all equal 2/3. |
| 7 | 3/8 < 2/5 < 0.45 | 3 ÷ 8 = 0.375 and 2 ÷ 5 = 0.4, so the order is 0.375, 0.4, 0.45. |
| 8 | 1/8; the total is 1/2, or 0.5 | 0.125 = 125/1000, and dividing both by 125 gives 1/8; then 1/8 + 3/8 = 4/8 = 1/2. |
| 9 | 5/6, by 1/18 | On eighteenths, 5/6 = 15/18 and 7/9 = 14/18, so the difference is 1/18, about 0.056. |
| 10 | The correct values are 0.75 and 0.4; the digits were copied instead of dividing | Divide the numerator by the denominator: 3 ÷ 4 = 0.75 and 2 ÷ 5 = 0.4. Copying the two numbers as digits is wrong. |
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.
