GCSE Percentage Practice Questions

1. What is 10% of 560?

2. What is 5% of 340?

3. What is 15% of 220?

4. What is 30% of 450?

5. What is 20% of £68.50?

6. What is 25% of 92?

7. What is 12.5% of 160?

8. What is 17.5% of 80?

9. What is 35% of 60?

10. What is 75% of 240?

11. Express 54 as a percentage of 90.

12. Express 18 as a percentage of 75.

13. A student gets 56 marks out of 80. What percentage is that?

14. In a class of 40, 14 are left-handed. What percentage is left-handed?

15. A shop sells 120 items. 45 are returned. What percentage is returned?

16. Without a calculator, work out 2.5% of 360.

17. Without a calculator, work out 22.5% of 40.

18. In a test of 120 marks, Priya scores 78. What percentage did she score?

19. What is 87.5% of 80? Work without a calculator.

20. What percentage of 360 is 270?

21. Estimate 19% of 512.

22. 85 out of 200 people surveyed prefer Brand A. What percentage is that?

23. What is 37.5% of 800? Work without a calculator.

24. Work out 62.5% of 240 without a calculator.

25. Without a calculator, work out 7.5% of 120.

26. What is 1% of 47,800?

27. What is 0.5% of 6,400?

28. A jacket is £95. A 40% discount is applied. What is the saving?

29. What is approximately one third of 300?

30. A factory runs 5 days a week. Last week there was a fault for half a day. What percentage of the week was affected by the fault?

31. Increase 400 by 15%.

32. Decrease 800 by 25%.

33. A laptop costs £680 and goes up in price by 12.5%. What is the new price?

34. A house value falls by 8%. The house was worth £250,000. What is it worth now?

35. Increase £1,400 by 3.5%.

36. Decrease 960 by 12.5%.

37. A car costs £18,500 and loses 35% of its value in its first year. What is it worth after one year?

38. A salary of £32,000 increases by 2.5%. What is the new salary?

39. A price rises from £540 to £594. Calculate the percentage increase.

40. A value falls from 750 to 600. Calculate the percentage decrease.

41. A company's revenue increases from £120,000 to £138,000. Calculate the percentage increase.

42. A population falls from 45,000 to 40,500. Calculate the percentage decrease.

43. A mobile phone was £840 and is now £630. Calculate the percentage decrease.

44. A population of 2,500 increases to 2,750. Calculate the percentage increase.

45. Increase £275 by 16%.

46. Decrease 3,600 by 7.5%.

47. A shirt costs £36 before VAT at 20% is added. What is the price including VAT?

48. A book is sold for £14.40 after adding 20% VAT. What is the price before VAT?

49. A price increases by 20%, then by a further 20%. What is the overall percentage increase?

50. A price decreases by 10%, then by a further 10%. What is the overall percentage decrease?

51. A value falls from 480 to 372. Calculate the percentage decrease.

52. Increase 1,200 by 17.5%.

53. A company's profits rose from £84,000 to £96,600. What is the percentage increase?

54. A shop reduces all items by 30% in a sale. A coat was £95. What is the sale price?

55. A runner's time increases from 48 minutes to 54 minutes. What is the percentage increase?

56. A value of 750 is increased by 4%, then decreased by 4%. What is the final value?

57. A property worth £320,000 increases by 6.5% in value. What is it worth after one year?

58. After a 30% increase, a value is 650. What was the original value?

59. A tree grows from 1.8 m to 2.16 m. What is the percentage increase?

60. An investment falls from £12,000 to £10,560. What is the percentage decrease?

61. After a 10% increase, a price is £110. What was the original price?

62. After a 20% decrease, a value is 80. What was the original value?

63. A coat costs £56 in a sale offering 30% off. What was the original price?

64. After a 15% increase, a salary is £34,500. What was the salary before the increase?

65. A laptop costs £552 after a 15% price rise. What was the original price?

66. A price falls by 12% to £352. What was the original price?

67. After a 5% increase, a value is 630. What was the original value?

68. After a 35% reduction, a jacket costs £65. What was the original price?

69. A meal costs £47 including a 17.5% service charge. What was the cost of the meal without the service charge?

70. A price increases by 20%, then decreases by 20%. The final price is £144. What was the original price?

71. A car's value decreased by 18% to £16,400. What was its original value?

72. A shop applies VAT at 20% to give a price of £156. What is the pre-VAT price?

73. A shirt costs £25.50 after a 15% sale discount. What was the original price?

74. A school's population rose by 12% to 1,120. What was the population before the rise?

75. A hotel adds a 12.5% service charge giving a total of £630. What was the original bill?

76. The sale price of a sofa is £455, which is 65% of the original price. What was the original price?

77. After a 22% decrease, a value is 390. What was the original value?

78. A builder charges £3,640 which includes 30% profit. What were the materials costs?

79. After increasing by 6%, a quantity is 848. What was the original?

80. A 15% tip is added to a restaurant bill making it £46. What was the bill before the tip?

81. After a 7.5% increase, a salary is £32,250. What was the original salary?

82. A price dropped by 40% to £120. What was the original price?

83. After a 12% discount, the price of a bicycle is £352. What was the original price?

84. A company's revenue fell by 15% to £680,000. What was the original revenue?

85. After a 25% increase and then a 20% decrease, a final value is 1,500. What was the original?

86. A price rises by 10%, then falls by 10%. The final price is £99. What was the original?

87. After a 30% increase, a salary is £26,000. What was it before?

88. A crowd of 3,672 attended a match, which was 2% more than the previous week. How many attended the previous week?

89. An item costs £43.20 after a 28% discount. What was the original price?

90. After a 37.5% increase, a value is 770. What was the original?

91. A savings account earns 5% simple interest per year. How much interest is earned on £2,000 after 3 years?

92. Calculate the compound interest earned on £1,000 at 4% per year for 2 years.

93. Using A = P(1 + r)ⁿ, find the value of £500 invested at 3% per year for 4 years. Give your answer to the nearest penny.

94. A car is bought for £15,000 and depreciates at 12% per year. What is it worth after 3 years? Give your answer to the nearest pound.

95. An investment of £800 grows at 6% compound interest per year. How much is it worth after 5 years? Give your answer to the nearest penny.

96. A population of 20,000 grows at 2.5% per year. What will the population be after 4 years? Give your answer to the nearest whole number.

97. £3,500 is invested at 4.5% compound interest for 3 years. Find the total amount after 3 years to the nearest penny.

98. A bank account earns 2% per year compound interest. £600 is deposited. How much is in the account after 3 years?

99. A radioactive substance decays at 20% per year. If there are 1,000 g initially, how much remains after 3 years?

100. £2,000 is invested at r% per year compound interest. After 2 years the amount is £2,205. Find r.

101. A car depreciates at 15% per year. It is bought for £20,000. What is it worth after 4 years? Give your answer to the nearest pound.

102. An account earns 3.5% compound interest per year. How much will £1,200 be worth after 5 years? Give your answer to the nearest penny.

103. A savings account pays 4% per year compound interest. Ben invests £5,000. How many complete years does it take for his investment to exceed £6,000? Show your working.

104. A property worth £250,000 increases in value by 6% per year. What is it worth after 3 years?

105. A school's enrolment of 800 grows at 3% per year. Estimate the enrolment after 3 years to the nearest whole number.

106. Tom invests £2,000 at 5% per year compound interest. How much interest does he earn in total after 3 years? Give your answer to the nearest penny.

107. A bacteria culture doubles every 24 hours. If there are 500 bacteria initially, how many will there be after 72 hours?

108. £4,000 is invested at 5% per year compound interest for 2 years. How much is in the account at the end?

109. A machine is purchased for £8,000 and depreciates at 10% per year. What will it be worth after 2 years?

110. Using A = P(1 + r)ⁿ, find A when P = £600, r = 0.04, n = 3. Give your answer to the nearest penny.

111. A company's sales of £500,000 grow at 8% per year. What are the estimated sales next year?

112. A house worth £180,000 grows at 4% compound interest per year. What is its estimated value after 2 years?

113. A population of 3,200 decreases by 5% per year. What is the population after 2 years?

114. Calculate the compound interest earned on £1,500 at 6% for 3 years. Give your answer to the nearest penny.

115. An investment grows at 3% per year compound interest. How many full years does it take for £1,000 to first exceed £1,150? Show your working.

116. A car is valued at £22,000. It depreciates at 18% in year 1 and 12% each year after that. What is it worth at the end of year 3?

117. Amy invests £1,000 at 3% compound interest per year for 5 years. Ben invests £1,000 at 3.5% per year for 5 years. How much more does Ben have at the end? Give your answer to the nearest penny.

118. An account pays r% per year compound interest. After 2 years, £5,000 grows to £5,512.50. Find r.

119. A machine worth £24,000 depreciates by 20% in its first year and by 15% each year after that. Find its value after 3 years.

120. Show the difference between simple and compound interest using r = 10% and P = £1,000 for 3 years.

121. A shop reduces a pair of trainers by 30%. The original price was £85. Calculate the sale price.

122. In a school of 850 pupils, 34% have a packed lunch. How many pupils have a packed lunch?

123. Last year 1,200 people visited a museum. This year, 1,476 people visited. Calculate the percentage increase.

124. A television costs £594 after a 10% increase in price. What was the original price?

125. Emma invests £3,000 at 4% compound interest per year. How much will she have after 2 years?

126. Oliver buys a car for £14,000. The car depreciates by 20% in the first year and 15% each year after that. How much is the car worth after 3 years?

127. A coat is reduced by 35% in a sale. The sale price is £71.50. Find the original price of the coat.

128. The number of members at a gym increased from 540 to 621. Calculate the percentage increase.

129. A price increases by 20% and then by a further 20%. A student says the overall increase is 40%. Explain why the student is wrong and find the correct overall percentage increase.

130. A property worth £180,000 grows at 3.5% compound interest per year. Find its value after 4 years to the nearest pound.

131. In a sale, prices are reduced by 25%. A bag costs £48 in the sale. What was the original price?

132. A company's revenue was £420,000. After restructuring it fell to £357,000. Calculate the percentage decrease.

133. An investment of £6,000 earns compound interest at 3.2% per year. After how many complete years does it first exceed £7,000? Show your working.

134. A laptop costs £756 including VAT at 20%. What is the price without VAT and how much VAT was paid?

135. Express 37 as a percentage of 148.

136. John's salary was £27,600. He receives a 3.5% pay rise. What is his new annual salary?

137. A vintage car is bought for £45,000. Its value increases by 8% in year 1, by 5% in year 2, and decreases by 3% in year 3. What is it worth at the end of year 3? Give your answer to the nearest pound.

138. 15% of a number is 48. What is the number?

139. A school has 1,200 students. 55% are girls. How many are boys?

140. A car insurance premium is £1,200 in year 1. It increases by 6% each year for the next 2 years. What is the total cost of insurance over the 3 years?

141. A quantity increases by 12% to become 280. What was the original quantity?

142. £8,000 is invested at 3% per year compound interest. After how many complete years will the investment first exceed £9,000? Show your working.

143. A price increases from £180 to £207. Calculate the percentage increase.

144. Lucy earns £25,000 per year. She gets a 4.5% pay rise. What is her new salary?

145. A flat is bought for £95,000 and increases in value by 5% per year. What is it worth after 5 years? Give your answer to the nearest pound.

146. In a sale, a shoe shop reduces prices by 20%. A pair of boots costs £64 in the sale. What was the original price?

147. A town's population was 12,500. After 2 years it has grown to 13,806.25. What was the annual compound growth rate?

148. Ali invests £4,000 at 5% compound interest per year for 3 years. Sarah invests £4,000 at 4% compound interest per year for 3 years. How much more does Ali have at the end? Give your answer to the nearest penny.

149. A painting is valued at £2,400 and its value increases by 7.5% each year. What is its estimated value after 2 years?

150. 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? By how much?