Printable · GCSE Foundation · ages 14-16
Percentages and percentage change worksheet — GCSE Foundation
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 Foundation
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- 1.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.
- 2.Work out 25% of 200.
- 3.The price of a cycling helmet rises from £80 to £116. Work out the percentage increase.
- 4.A sofa costs £800. Its price is increased by 25%. Work out the new price of the sofa.
- 5.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.
- 6.Work out the difference between 45% of 70 and 35% of 80.
- 7.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.
- 8.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.
- 9.A box holds 80 chocolates. 75% of them are milk chocolates. Work out how many milk chocolates are in the box.
- 10.Write 1/5 as a percentage.
- 11.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.
- 12.The same jumper is sold at two shops. Shop A charges £40 and Shop B charges £50. Write down the price at Shop A as a percentage of the price at Shop B.
- 13.The price of a games console is reduced by 10%. In a later sale the reduced price is reduced by 10% again. Work out the overall percentage decrease.
- 14.After a 20% discount, a jacket costs £48. Work out the original price of the jacket.
- 15.Grace's mean mark in her maths tests rises from 70 to 84. Work out the percentage increase in her mean mark.
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