Mixed Percentage Questions Worksheet
Free to print and use in your classroom. No sign-up required.
Mixed Percentage Questions Worksheet
This worksheet covers all key percentage topics. Answer each section in turn. Show your working clearly. A calculator may be used.
Section 1: Percentage of an Amount
1. Calculate 20% of 350.
2. Calculate 35% of 480.
3. Calculate 7.5% of 640.
4. A cinema has 250 seats. 72% of the seats are filled. How many seats are occupied?
5. A survey asked 1,200 people about their travel habits. 43% said they drive to work. How many people is that?
6. Calculate 112% of 75.
7. A recipe requires 15% of a 2 kg bag of flour. How many grams of flour are needed?
Section 2: Percentage Increase and Decrease
8. Increase 560 by 15%.
9. Decrease 840 by 12%.
10. A wage of £28,000 per year is increased by 3.5%. What is the new annual wage?
11. A jacket is reduced by 40% to a sale price. The original price was £95. What is the sale price?
12. A value increases from 420 to 504. What is the percentage increase?
13. A football club's average attendance fell from 32,000 to 27,200. Calculate the percentage decrease.
14. A company increases its prices by 8% in January and by a further 5% in July. What is the total percentage increase over the year? Do not simply add 8 and 5.
Section 3: Expressing as a Percentage and Conversion
15. Express 45 out of 60 as a percentage.
16. Express 7 out of 40 as a percentage.
17. Convert 0.072 to a percentage.
18. Convert 3/8 to a percentage.
19. In a class of 28 students, 7 achieved a top grade. What percentage achieved a top grade?
20. A bag contains 5 red, 3 blue and 12 green counters. What percentage of the counters are blue?
21. A runner completes 9.6 km of a 12 km course before stopping. What percentage of the course has been completed?
Section 4: Reverse Percentages
22. After a 20% increase, a value is 180. What was the original value?
23. After a 15% decrease, a price is £170. What was the original price?
24. A laptop is sold for £510 after a 32% reduction. What was the original price?
25. An item costs £552 including VAT at 15%. What is the price before VAT?
26. After a 60% rise, a number is 1,280. What was the original number?
27. After receiving a 7% pay rise, Dan earns £3,745 per month. What was his salary before the pay rise?
28. In a sale, all prices are reduced by 18%. A coat is now £123. What was its original price?
Section 5: Compound Interest and Real-World Problems
29. £2,000 is invested at 5% per year compound interest. How much is in the account after 3 years?
30. A car is bought for £14,000 and depreciates at 20% per year. What is its value after 4 years?
31. £10,000 is invested at 3.2% compound interest. How much interest is earned after 5 years? Give your answer to the nearest penny.
32. A business increases its turnover by 8% each year for 3 consecutive years. If the turnover starts at £500,000, what is it at the end of the 3 years? Give your answer to the nearest pound.
33. A jeweller buys a ring for £280 and sells it for £392. Calculate the percentage profit.
34. A bank offers 4% per year compound interest. How many complete years does it take for an investment of £1,000 to exceed £1,200? Show all working.
35. A house was bought for £180,000 and sold three years later for £226,800. Express the profit as a percentage of the buying price.
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