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Primary 6 Maths: Applications of Percentages — Practice Paper 4
Primary 6 Maths: Applications of Percentages — Practice Paper 4
Paper 4 links fractions, decimals and percentages: converting 25% and 3/5, taking 35% of an amount, then two discounts, working back from a result, and the gap between boys and girls in a school.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 convert between percentages and fractions and take 35% of $80; items 04 to 06 apply 10% then 20% off, work back from a 25% increase, and compare boys and girls in a school of 800; items 07 to 09 turn 0.4% into a decimal, set a price with a 25% profit, and find the total of two 10% cuts; item 10 redos a 20% rise then a 20% cut.
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 6 Maths: Applications of Percentages — Tutor Lesson Plan |
| Level | Primary 6 |
02 Questions (10 items)
- FoundationWrite 25% as a fraction in lowest terms.
- FoundationWrite 3/5 as a percentage.
- FoundationWhat is 35% of $80?
- IntermediateA $500 item is discounted 10% and then a further 20%. What is the price?
- IntermediateAfter a 25% increase a number becomes 150. Find it.
- IntermediateA school has 800 pupils and 45% are boys. How many fewer boys than girls are there?
- ChallengeWrite 0.4% as a decimal.
- ChallengeAn item costs $240 and a 25% profit is wanted. What should the price be?
- ChallengeAn item is cut by 10% twice. What is the total percentage cut?
- Error redoA pupil says a 20% rise followed by a 20% cut brings the price back. Is that right?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 1/4 | 25% is 25 over 100, which reduces to 1 over 4. |
| 2 | 60% | 3 divided by 5 is 0.6, that is 60%. |
| 3 | $28 | 80 x 0.35 = 28. |
| 4 | $360 | Two discounts multiply: 500 x 0.9 x 0.8 = 360. |
| 5 | 120 | 150 is 125% of the original, so 150 divided by 1.25 is 120. |
| 6 | 80 pupils | Boys are 360 and girls are 440, a difference of 80. |
| 7 | 0.004 | 0.4% is 0.4 divided by 100, that is 0.004. |
| 8 | $300 | Price is cost times 1.25, so 240 x 1.25 = 300. |
| 9 | 19% | 0.9 x 0.9 = 0.81, so 19% is cut and not 20%. |
| 10 | Not correct: the result is 96% of the original, which is 4% lower | 1.2 x 0.8 = 0.96, so the two changes do not cancel out. |
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.
