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Primary 4 Maths: Equivalent Fractions and Decimals — Practice Paper 4
Primary 4 Maths: Equivalent Fractions and Decimals — Practice Paper 4
Paper 4 drills expanding and simplifying fractions, switching between fractions and decimals, and comparing sizes, checking each answer by cross multiplication as well as by a decimal value, then redos the common slip of writing a decimal over one hundred.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 expand, simplify and turn a fraction into a decimal; items 04 to 06 turn a decimal into a fraction, compare sizes and build a chain of equivalent fractions; items 07 to 09 order three values, add a fraction to a decimal and cross multiply; item 10 redos writing 0.6 as 6/100.
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)
- FoundationExpand 4/5 into an equivalent fraction with denominator 25.
- FoundationSimplify 32/40 to its lowest terms.
- FoundationChange 7/8 into a decimal.
- IntermediateChange 0.72 into a fraction in its lowest terms.
- IntermediateWhich is larger, 3/8 or 0.4?
- IntermediateWrite two fractions equivalent to 5/6 whose denominators are greater than 6.
- ChallengeArrange 13/25, 0.55 and 5/8 from smallest to largest.
- ChallengeWhat is 3/4 plus 0.35? Give the answer as a fraction.
- ChallengeUse cross multiplication to compare 5/7 and 7/10. Which is larger?
- Error redoA pupil wrote 0.6 as 6/100. What is wrong, and what is the correct fraction?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 20/25 | The denominator is multiplied by 5, so the numerator is too: 4 x 5 = 20. |
| 2 | 4/5 | Divide both parts by 8: 32 / 8 = 4 and 40 / 8 = 5. |
| 3 | 0.875 | Divide the numerator by the denominator: 7 / 8 = 0.875. |
| 4 | 18/25 | 0.72 is 72/100; dividing both parts by 4 gives 18/25. |
| 5 | 0.4 is larger | 3/8 is 0.375, which is smaller than 0.4. |
| 6 | 10/12 and 15/18 | Multiply both parts by 2 and by 3: 10/12 and 15/18. |
| 7 | 13/25 < 0.55 < 5/8 | 13/25 is 0.52 and 5/8 is 0.625, so the order is 0.52, 0.55, 0.625. |
| 8 | 11/10 (that is 1 1/10) | 3/4 is 0.75, and 0.75 + 0.35 = 1.1, which is 11/10. |
| 9 | 5/7 is larger | 5 x 10 = 50 against 7 x 7 = 49; 50 wins, so 5/7 is larger. |
| 10 | 6/100 is 0.06; the correct value is 6/10 = 3/5 | 0.6 has one decimal place, so the denominator is 10; 6/100 is only 0.06. |
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.
