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P5 Maths: Converting Between Fractions and Decimals (Paper 4 (error clinic))
Tutor Prep Guide · Fractions to decimals, decimals to fractions in lowest terms, scaling and reducing, rounding recurring decimals, and comparing fractions with decimals
P5 Maths: Converting Between Fractions and Decimals (Paper 4 (error clinic))
Paper 4 (error clinic): ten questions on converting between fractions and decimals, covering scaling, reducing and comparing, with answers and one-line notes.
Direct answers Level: P5 maths; format: fractions to decimals, decimals to fractions in lowest terms, recurring decimals rounded, and comparing fractions with decimals.
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: P5 Maths: Converting Between Fractions and Decimals |
| Level | P5 |
02 Questions (10 items)
- FoundationWrite 0.9 as a fraction in lowest terms.
- FoundationConvert 6/100 to a decimal.
- FoundationWrite 0.07 as a fraction in lowest terms.
- IntermediateConvert 12/25 to a decimal.
- IntermediateWrite 0.35 as a fraction in lowest terms.
- IntermediateConvert 4 3/8 to a decimal.
- ChallengeAre 0.45 and 9/20 equal?
- ChallengeConvert 2/3 to a decimal, correct to 1 decimal place.
- ChallengeWork out 0.125 + 3/8.
- Error redoConvert 1/4 to a decimal.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 9/10 | 0.9 is 9/10, which is already in lowest terms. |
| 2 | 0.06 | A denominator of 100 gives hundredths, so the tenths place must show a zero. |
| 3 | 7/100 | 0.07 is 7/100, which is already in lowest terms. |
| 4 | 0.48 | Multiplying both parts by 4 gives 48/100. |
| 5 | 7/20 | 0.35 is 35/100, and dividing both parts by 5 gives the lowest terms. |
| 6 | 4.375 | Write the mixed number as 35/8, then divide by 8. |
| 7 | Yes, both equal 0.45 | Multiplying both parts of 9/20 by 5 gives 45/100. |
| 8 | 0.7 | Two thirds recurs, so round to one decimal place. |
| 9 | 0.5 | Write 3/8 as 0.375, then add the two decimals. |
| 10 | 0.25 | Common slips are 0.14 or 4.1; one divided by four is 0.25. |
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; for a wrong item, confirm the scaling of the denominator first, then work it again.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.