Mixed GCSE Percentage Worksheet
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Mixed GCSE Percentage Worksheet
GCSE | Years 10 to 11 | Foundation and Higher
Answer all questions. A calculator may be used. Show your working to gain full marks.
Formula reminders
Percentage of an amount
Amount × (percentage ÷ 100)
Percentage change
(Change ÷ original) × 100
Multipliers
Increase by r%: multiply by (1 + r/100)
Decrease by r%: multiply by (1 − r/100)
Reverse percentage
Original = final value ÷ multiplier
Compound interest
A = P(1 + r/100)n
P = principal, r = rate %, n = number of years
Answer all questions. A calculator may be used. Show your working to gain full marks.
25 questions · 76 marks
Questions 1 to 20: Foundation and crossover questions on percentage change, reverse percentages and compound interest
Calculate 18% of 350.
A coat costs £120. It is reduced by 35% in a sale. Calculate the sale price.
A house is bought for £175,000 and sold for £210,000. Calculate the percentage profit.
In a class of 32 students, 24 passed an exam. Express the number who passed as a percentage.
Increase £340 by 12%.
Express 36p as a percentage of £1.50.
A television costs £680 after a 15% reduction. Calculate the original price.
A recipe uses 240 g of flour. This is 30% of the total weight. What is the total weight?
A value rises from £540 to £594. Calculate the percentage increase.
Decrease 750 by 8%.
After a 20% increase, a price is £264. What was the original price?
A population of 8,000 decreases by 5%. What is the new population?
Tom earns £28,000 per year. He receives a 3.5% pay rise. What is his new annual salary?
A shop sells a phone for £276, which includes 15% profit on the cost price. What was the cost price?
After a 12% discount, a price is £352. What was the original price?
Calculate the compound interest earned on £1,000 at 4% per year for 2 years.
A flat is bought for £180,000. Its value increases by 6% in year 1 then falls by 4% in year 2. What is it worth at the end of year 2?
A price increases by 20%, then decreases by 20%. Starting from £500, what is the final price?
A car is bought for £15,000. It depreciates at 12% per year. What is it worth after 3 years? Give your answer to the nearest pound.
After a 7.5% increase, a salary is £32,250. What was the original salary?
Questions 21 to 25: Higher multi-step questions
An investment of £800 grows at 6% compound interest per year. What is it worth after 5 years? Give your answer to the nearest penny.
A savings account pays 4% per year compound interest. Ben invests £5,000. How many complete years does it take to exceed £6,000?
A quantity decreases by 60% to become 800. What was the original quantity?
A restaurant bill comes to £46 including a 15% tip. What was the original bill?
A house worth £220,000 falls in value by 5% in year 1, then rises by 8% in year 2. What is its value at the end of year 2? Is this more or less than the original?
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Mixed GCSE Percentage Worksheet answers (GCSE worksheet)
Answers are shown below. When printed, the answer sheet always starts on a new page.
| Q | Answer | Marks |
|---|---|---|
| 1 | 63 (350 × 0.18 = 63) | 1 |
| 2 | £78 (£120 × 0.65 = £78) | 2 |
| 3 | 20% (profit = £35,000; 35,000 ÷ 175,000 × 100 = 20%) | 2 |
| 4 | 75% (24 ÷ 32 × 100 = 75%) | 2 |
| 5 | £380.80 (£340 × 1.12 = £380.80) | 2 |
| 6 | 24% (£1.50 = 150p; 36 ÷ 150 × 100 = 24%) | 2 |
| 7 | £800 (£680 = 85% of the original; £680 ÷ 0.85 = £800) | 3 |
| 8 | 800 g (240 ÷ 0.3 = 800) | 3 |
| 9 | 10% (increase = £54; 54 ÷ 540 × 100 = 10%) | 3 |
| 10 | 690 (750 × 0.92 = 690) | 3 |
| 11 | £220 (£264 ÷ 1.2 = £220) | 3 |
| 12 | 7,600 (8,000 × 0.95 = 7,600) | 3 |
| 13 | £28,980 (£28,000 × 1.035 = £28,980) | 3 |
| Q | Answer | Marks |
|---|---|---|
| 14 | £240 (£276 ÷ 1.15 = £240) | 3 |
| 15 | £400 (£352 ÷ 0.88 = £400) | 3 |
| 16 | £81.60 (£1,000 × 1.04² = £1,081.60; £1,081.60 − £1,000 = £81.60) | 3 |
| 17 | £183,168 (£180,000 × 1.06 = £190,800; £190,800 × 0.96 = £183,168) | 3 |
| 18 | £480 (£500 × 1.2 = £600; £600 × 0.8 = £480) | 4 |
| 19 | £10,222 (£15,000 × 0.88³ = £10,222.08) | 4 |
| 20 | £30,000 (£32,250 ÷ 1.075 = £30,000) | 4 |
| 21 | £1,070.58 (£800 × 1.06⁵ = £1,070.58) | 4 |
| 22 | 5 years (after 4 years: £5,000 × 1.04⁴ = £5,849.29; after 5 years: £6,083.26) | 4 |
| 23 | 2,000 (800 = 40% of the original; 800 ÷ 0.4 = 2,000) | 4 |
| 24 | £40 (£46 ÷ 1.15 = £40) | 4 |
| 25 | £225,720, which is £5,720 more than the original (£220,000 × 0.95 = £209,000; £209,000 × 1.08 = £225,720) | 4 |
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