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.Grace's mean mark in her maths tests rises from 70 to 84. Work out the percentage increase in her mean mark.
- 2.40% of a number is 12 more than 25% of the same number. Work out the number.
- 3.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.
- 4.Order these three values from smallest to largest: 3/8, 0.43, 41%.
- 5.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.
- 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.The number of members of a running club increases from 45 to 54. Work out the percentage increase.
- 8.The price of a jacket increases by 50% and then decreases by 50%. Describe the overall change from the original price.
- 9.The rent on a flat increases by 10% one year and by a further 10% the following year. Work out the overall percentage increase over the two years.
- 10.After a 20% discount, a jacket costs £48. Work out the original price of the jacket.
- 11.The price of a cycling helmet rises from £80 to £116. Work out the percentage increase.
- 12.Jamal invests £600 in a savings account paying 3% simple interest per year. Work out the total amount in the account after 4 years.
- 13.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.
- 14.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.
- 15.A textbook is reduced from £60 to £45. Work out the percentage reduction.
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