Printable · GCSE Higher · ages 14-16
Percentages and percentage change worksheet — GCSE Higher
Fifteen questions on "percentages and percentage change" — DfE statement R9. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Percentages and percentage change worksheet — GCSE Higher
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- 1.The price of a cycling helmet rises from £80 to £116. Work out the percentage increase.
- 2.A laptop priced at £520 is first increased by 15%, and then the new price is decreased by 20%. Work out the final price of the laptop.
- 3.A charity fun run raises money through entry fees and donations. Entry fees raise £1,260, which is 60% of the total amount raised. Work out how much money was raised through donations.
- 4.The number of members of a running club increases from 45 to 54. Work out the percentage increase.
- 5.There are 400 students at a school. 25% of them have a brother, 40% have a sister and 15% have both a brother and a sister. Work out how many of the students have neither a brother nor a sister.
- 6.Priya invests £750 in a savings account that pays simple interest. After 3 years, the account contains £840. Work out the annual rate of simple interest.
- 7.After a 20% discount, a jacket costs £48. Work out the original price of the jacket.
- 8.A company's turnover this year is £180,000. Last year's turnover was £120,000. Write down this year's turnover as a percentage of last year's turnover.
- 9.Grace's mean mark in her maths tests rises from 70 to 84. Work out the percentage increase in her mean mark.
- 10.40% of a number is 12 more than 25% of the same number. Work out the number.
- 11.A textbook is reduced from £60 to £45. Work out the percentage reduction.
- 12.Order these three values from smallest to largest: 3/8, 0.43, 41%.
- 13.A jumper costs £45 at Shop A, where it is reduced by 20%. The same jumper costs £34 at Shop B, where a further 10% reduction is then applied. Work out the difference between the two reduced prices.
- 14.The price of a share falls by 10% on Monday and then rises by 10% on Tuesday. Work out the overall percentage change from Monday's starting price.
- 15.A car is bought for £17,500. Its value decreases by 12% in the first year, and by a further 10% of its reduced value in the second year. Work out the value of the car at the end of the second year, giving your answer to the nearest pound.
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