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Primary 6 Maths: Applications of Percentages — Practice Paper 3
Primary 6 Maths: Applications of Percentages — Practice Paper 3
Paper 3 moves into shop settings: discounts, profit and loss percentages from cost and selling price, and working back to the original price after a rise or a discount. It also separates percentage points from per cent.
Quick answer 10 questions, about 25 minutes. Items 01 to 03 cover 30% off, 15% off and the profit percentage on a $50 cost sold for $60; items 04 to 06 cover a loss percentage, a pass rate rising from 25% to 30%, and 15% of 800 people; items 07 to 09 work back to the original price twice and find the women in a group of 1,200; item 10 redos calling a $10 profit 10%.
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 6 Maths: Applications of Percentages — Tutor Lesson Plan |
| Level | Primary 6 |
02 Questions (10 items)
- FoundationA $250 item is sold at 30% off. What is the price?
- FoundationA $480 item is sold at 15% off. What is the price?
- FoundationCost is $80 and the selling price is $100. What is the profit percentage?
- IntermediateCost is $60 and the selling price is $45. What is the loss percentage?
- IntermediateA pass rate rises from 25% to 30%. How many percentage points is the rise?
- IntermediateWhat is 15% of 800 people?
- ChallengeAfter a 20% increase an item sells for $96. What was the original price?
- ChallengeAfter 20% off an item sells for $72. What was the original price?
- Challenge45% of 1,200 people are men. How many are women?
- Error redoA pupil says a $50 cost sold at $60 gives a 10% profit. What went wrong, and what is the answer?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | $175 | Thirty per cent off means paying 70%: 250 x 0.7 = 175. |
| 2 | $408 | Fifteen per cent off means paying 85%: 480 x 0.85 = 408. |
| 3 | 25% | The profit is $20, over the cost: 20 divided by 80 is 25%. |
| 4 | 25% | The loss is $15 and 15 divided by 60 is 25%; a loss is also measured against cost. |
| 5 | 5 percentage points | Subtract the two percentages: 30 – 25 = 5 percentage points. |
| 6 | 120 people | 800 x 0.15 = 120 people. |
| 7 | $80 | The selling price is 120% of the original: 96 divided by 1.2 is 80. |
| 8 | $90 | 72 is 80% of the original, and 72 divided by 0.8 is 90. |
| 9 | 660 people | The men number 1,200 x 0.45 = 540, so the women are 1,200 – 540 = 660. |
| 10 | The pupil treated the $10 profit as 10%; profit percentage is over the cost, so 10 over 50 is 20% | The $10 is an amount, and dividing it by the $50 cost gives 20%. |
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.
