plumiPercentages: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on R9 Percentages, 2017–2025, with its mark scheme and examiner’s report.
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All 59 questions on Percentages, as a list
- June 2025, Paper 5, Q2 (3 marks): An examination has two parts. A student scores 10 out of 15 marks on Part 1. They score 4 out of 10 marks on Part 2. To pass the examination the student needs t
- June 2025, Paper 5, Q9 (6 marks): A school has three terms, Autumn, Spring and Summer. In class A there were 90 absences in the Autumn term, 120 absences in the Spring term and 40 absences in th
- June 2025, Paper 6, Q3 (4 marks): (a) The price of a laptop is reduced in a January sale from £450 to £382.50. Work out the percentage reduction in the price of the laptop. (a) % (b) The graph s
- June 2025, Paper 6, Q7 (6 marks): Each member of a tennis club is classed as a junior, an adult or a senior. • 16% of the members are seniors. • The ratio of the number of juniors to the number
- June 2025, Paper 6, Q11 (4 marks): Amit invests some money at a rate of 4% per year compound interest. After 2 years the value of Amit’s investment is £1352. Work out how much money Amit invested
- June 2025, Paper 6, Q25 (6 marks): A bag contains only round tiles and square tiles. Each tile is either black or white. The ratio of round tiles to square tiles is 3 : 1. 45% of all the tiles ar
- November 2024, Paper 5, Q3 (6 marks): The graph shows the time, in minutes, taken by some pupils to travel to school on Tuesday. 160 140 120 100 Frequency 80 on Tuesday 60 40 20 0 Less than 10 10 to
- November 2024, Paper 5, Q7 (6 marks): Felix makes craft figures at a constant rate. He can make 5 craft figures in 40 minutes. (a) Find the number of craft figures Felix can make in 4 hours. (a) (b)
- November 2024, Paper 6, Q2 (3 marks): The price of a holiday increases from £320 to £340. Work out the percentage increase in the price of the holiday. %
- November 2024, Paper 6, Q18 (4 marks): y is inversely proportional to x Find the percentage decrease in y when x is increased by 25%. %
- June 2024, Paper 4, Q8 (5 marks): The price of a television is increased by 35%. In a sale, the new price of the television is decreased by r %. The overall percentage increase in the price of t
- June 2024, Paper 4, Q9 (5 marks): Sasha and Taylor each have a stamp collection. They organise their stamp collections according to where the stamps come from: United Kingdom (UK), European Unio
- June 2024, Paper 6, Q9 (7 marks): The diagram shows a shaded sector inside a parallelogram. The sector has an angle of 30°. The parallelogram, ABCD, has length BC = 20 cm and AB = 12 cm . The pe
- November 2023, Paper 4, Q1 (3 marks): The price of a phone increases from £240 to £262.80. Calculate the percentage increase in the price of the phone. %
- November 2023, Paper 5, Q7 (4 marks): A motorist wants to buy a new car but does not have enough money. The price of the car is £16 000. The motorist sees this notice for a deal on the car they want
- November 2023, Paper 5, Q9 (6 marks): A box contains only red, green and black pens. The ratio of red pens to green pens to black pens is 1 : 4 : 11. (a) Work out the percentage of the pens that are
- November 2023, Paper 6, Q2 (4 marks): A restaurant menu has 4 main courses and 3 side dishes. For their meal, each customer chooses 1 main course and 1 side dish. Main course Side dish Beef burger £
- November 2023, Paper 6, Q4 (3 marks): Casey’s mobile phone gives a weekly report showing the amount of time they use their phone. This week the report says that the phone was used • for 217 minutes
- June 2023, Paper 4, Q2 (3 marks): The price of petrol decreases from £1.32 per litre to £1.02 per litre. Calculate the percentage decrease in the price. %
- June 2023, Paper 4, Q4 (6 marks): Alex invests £4500 at a rate of 7.5% per year simple interest. (a) Find the value of the investment at the end of 4 years. (a) £ (b) At the end of t years, the
- June 2023, Paper 4, Q8 (6 marks): The diagram shows a circle inside a square of side 12 cm. 12 cm Work out the percentage of the square that is shaded. You must show your working. %
- June 2023, Paper 5, Q9 (6 marks): A zoo counts its animals. The ratio of antelope to zebra is 3 : 2. The ratio of meerkats to zebra is 7 : 3. (a) Write the number of antelope as a percentage of
- June 2023, Paper 5, Q11 (4 marks): y is directly proportional to the square of x. Find the percentage decrease in y when x is decreased by 30%. %
- June 2023, Paper 6, Q6 (5 marks): At the end of each year, a driver records how many kilometres they have driven. In 2021, they drove 18% more kilometres than in 2020. In 2022, they drove 25% mo
- November 2022, Paper 4, Q3 (5 marks): An examination has three papers. Paper 1 is marked out of 60. Paper 2 is marked out of 40. Paper 3 is marked out of 100. The three marks are added together to f
- November 2022, Paper 5, Q1 (3 marks): Jamie was paid £14.00 per hour. Jamie receives a pay increase of 20%. Work out how much Jamie is now paid per hour. £
- November 2022, Paper 5, Q4 (5 marks): Layla and Jamal open a box of sweets. Layla and Jamal share all of the sweets in the ratio 2 : 3. (a) Write down the fraction of the sweets that Layla receives.
- November 2022, Paper 6, Q3 (2 marks): In 1980, Ling’s flat was worth £23 000. Today, Ling’s flat is worth 1200% of its value in 1980. Calculate the value of Ling’s flat today. £
- June 2022, Paper 6, Q9 (5 marks): A garage is trying to sell a car. The price of the car is normally £18 000. In a sale, the price of the car is reduced by 30%. As a special offer, the sale pric
- November 2021, Paper 4, Q8 (4 marks): Jamie invests £6000 at a simple interest rate of r % each year. After 6 years the value of their investment is £7170. Find the value of r. r =
- November 2021, Paper 4, Q9 (3 marks): The price of a plane ticket is increased by 15% to £1426. Find the original price of the plane ticket. £
- November 2021, Paper 5, Q3 (5 marks): A car mechanic has a tin containing 5 litres of engine oil. Each week they use 450 millilitres of this oil for their vehicles. The car mechanic says After 9 wee
- November 2021, Paper 5, Q9 (5 marks): A worker received a 10% pay increase in 2017 and a further 10% pay increase in 2018. The worker says Over these two years, my pay increased by 10% + 10% = 20%.
- November 2020, Paper 4, Q2 (4 marks): James is taking three examination papers in Spanish. Here are his first two results. Paper 1: 43 Paper 2: 38 80 65 Paper 3 is out of 95. The marks in each of th
- November 2020, Paper 4, Q8 (6 marks): Lily buys and sells microwaves. She buys each one for £32 and sells it for £60. She also pays £7 for the delivery of each microwave she sells. If she sells a mi
- November 2020, Paper 5, Q10 (5 marks): Each day, Eve records how long it takes her to complete a puzzle. On Friday, she took 50% less time than on Thursday. On Saturday, she took 20% less time than o
- November 2020, Paper 5, Q12 (7 marks): The price, £P, of a car is £20 000 in 2019. The price is expected to decrease by 5% each year after 2019. (a) Jasmine says This means the price in 2021 is expec
- November 2020, Paper 6, Q10 (3 marks): Paintings are sold in an art gallery. The cost of a painting has k% commission added to it. Tax of 15% is then added to the total cost to give the price to pay.
- November 2019, Paper 5, Q4 (3 marks): In 2017, a chocolate bar had a mass of 250 g. In 2018, the mass of the chocolate bar was reduced to 220 g. Work out the percentage decrease in the mass of the c
- November 2019, Paper 5, Q10 (5 marks): On a plane, 5 30% of the British passengers were men. There were 36 British men on the plane. Find the total number of passengers on the plane.
- November 2019, Paper 6, Q2 (5 marks): Amrit’s income is 32% more than Bethan’s income. Amrit and Bethan’s combined income is £54 868. Calculate Amrit’s income. £
- November 2019, Paper 6, Q5 (6 marks): Kay invests £1500 in an account paying 3% compound interest per year. Neil invests £1500 in an account paying r % simple interest per year. At the end of the 5t
- June 2019, Paper 5, Q3 (6 marks): Ed has a card shop. (a) He buys a particular card for £1.20 and sells it for £1.68. Calculate his percentage profit on this card. (a) % (b) Ed’s profit on “Good
- June 2019, Paper 5, Q7 (6 marks): Adam buys some theatre tickets in a sale. Ticket Sale All prices reduced The normal prices are: by 15% £80 for each adult £40 for each child. (2% booking fee ap
- June 2019, Paper 6, Q10 (6 marks): In 2017, the value of a house increased by 4%. In 2018, the value of the house then decreased by 3%. Teresa says Over the two years the value of the house incre
- November 2018, Paper 4, Q1 (4 marks): Shari buys a box of 60 candles for £125. She sells the candles for £2.25 each. Calculate her percentage profit. %
- November 2018, Paper 4, Q4 (6 marks): Here are the interest rates for two bank accounts. Northern Savings Bank (NSB) Central Alliance Bank (CAB) 2.5% per year 2.7% per year compound interest simple
- November 2018, Paper 4, Q22 (6 marks): In a village the ratio of males to females is 2 : 1. 40% of the people in the village are right-handed males. 25% of the people in the village are right-handed
- November 2018, Paper 5, Q7 (3 marks): Emily spent £2400 on holiday in 2017. This was 20% more than she spent on holiday in 2016. Calculate the amount she spent on holiday in 2016. £
- November 2018, Paper 5, Q11 (6 marks): The price of a washing machine is reduced by 20% for a sale. Afterwards, the sale price is increased by 30%. Joachim says The washing machine is now 10% more ex
- June 2018, Paper 4, Q10 (5 marks): 60% of the people in a town are males. 20% of the males are left-handed. 21.6% of all the people are left-handed. Work out the percentage of the people who are
- June 2018, Paper 4, Q11 (4 marks): y is directly proportional to the square of x. Find the percentage increase in y when x is increased by 15%. %
- June 2018, Paper 5, Q4 (3 marks): Here is the nutritional information for a 110 g serving of cereal. Carbohydrates 99.4 g Proteins 9.5 g Fats 1.1 g Emily says that more than 90% of this serving
- June 2018, Paper 5, Q6 (4 marks): Jack sent 15% more text messages in March than in February. Jack sent 460 text messages in March. How many more texts did Jack send in March than in February?
- June 2018, Paper 6, Q2 (4 marks): A box contains only red, blue and green pens. The ratio of red pens to blue pens is 5 : 9. The ratio of blue pens to green pens is 1 : 4. Calculate the percenta
- November 2017, Paper 5, Q7 (5 marks): Naomi is given a 10% pay decrease. Her new wage is £252 per week. What would be her weekly wage if, instead, she had received a 10% pay increase? £
- November 2017, Paper 6, Q7 (4 marks): Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the bank account is £629.20. Calculate the annua
- June 2017, Paper 4, Q5 (3 marks): Mo’s tyre pressure gauge shows a reading which is 12% higher than the actual pressure. What is the actual pressure when Mo’s gauge shows 38.64?
- June 2017, Paper 5, Q12 (5 marks): Helen delivers parcels. On Tuesday, Helen delivered 20% more parcels than on Monday. On Wednesday, Helen delivered 50% fewer parcels than on Tuesday. On Wednesd
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