Percentages: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on R9 Percentages, 2017–2025, with its mark scheme and examiner’s report.
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All 58 questions on Percentages, as a list
- June 2025, Paper 2H, Q4 (3 marks): 70% of the discs in a box are red and the rest are blue. • 40% of the red discs are removed. • 50% of the blue discs are removed. In total, what percentage of t
- June 2025, Paper 2H, Q9 (1 mark): The number of people that follow an influencer increases from 35 000 to 70 000 The influencer says, “My number of followers has increased by 200%, because 70 00
- June 2025, Paper 3H, Q12 (4 marks): Rob records the time he takes to drive to work every day for 80 days. The table shows information about the results. Time, t (minutes) Frequency 20 ⩽ t < 25 16
- November 2024, Paper 2H, Q10 (3 marks): 384 000 electric cars were sold this year. This is 20% more than last year. How many were sold last year? Answer
- November 2024, Paper 2H, Q14 (1 mark): Here is a sign in a shop. SALE 20% OFF ALL ITEMS TODAY ONLY 10% OFF THE REDUCED PRICE THAT MEANS YOU SAVE 30% Is the sign correct? Tick a box. Yes No Give a rea
- November 2024, Paper 3H, Q6 (5 marks): Three shops sell shirts. At which shop is it cheapest to buy 6 shirts? Show working to support your answer. Shop A Pack of 2 £19.00 Shop B Was £12.40 Now 25% of
- June 2024, Paper 1H, Q19 (4 marks): A, B and C are numbers. Here is some information about B and C. B 4 7 of A C A increased by 150% Work out C as a fraction of B. Answer
- June 2024, Paper 2H, Q2 (3 marks): The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg. Work out the original mass of the iceberg. Give your
- June 2024, Paper 2H, Q10 (3 marks): A bus route had 90 000 passengers last year. The number of passengers was predicted to increase by 3% this year and then by 8% next year. Is the predicted numbe
- November 2023, Paper 1H, Q7 (3 marks): 70% of a number is 350 Work out 120% of the number. Answer
- November 2023, Paper 2H, Q2 (2 marks): (a) Write 1.52 as an improper fraction in its simplest form. Answer 2 (b) Work out 60 as a percentage of 20 Answer %
- November 2023, Paper 2H, Q5 (5 marks): Three shops sell the same type and size of lip balm stick. Shop A £2.39 each Shop B £3.08 each Buy one, get one half price Shop C Pack of 4 Was £11.40 Now 1 6 o
- November 2023, Paper 3H, Q5 (4 marks): Carly’s total annual pay = salary + bonus Salary Bonus Last year £26 000 £4000 This year 6% increase 9% decrease Work out the percentage change in her total ann
- June 2023, Paper 2H, Q4 (2 marks): The price of a toy increases by 12.5% to £19.53 Work out the original price of the toy. Answer £
- June 2023, Paper 2H, Q11 (4 marks): A bowl is a hemisphere with radius 12 cm Volume of a sphere = 4 3 πr3 Water is poured into the bowl at a rate of 325 cm3 per second for 8 seconds. Does the wate
- June 2023, Paper 3H, Q14 (4 marks): Kiran paid Income Tax and National Insurance on her annual salary. Income Tax 0% of the first £12 570 of her annual salary 20% of the rest of her annual salary
- November 2022, Paper 1H, Q12 (1 mark): a is 10% more than b. Circle the ratio a : b 10 : 11 10 : 1 11 : 10 1 : 10
- November 2022, Paper 2H, Q14 (4 marks): Fred bought an apartment for £137 500 He made 8% profit when he sold the apartment. He used all of this profit to pay 40% of the deposit on a house. The deposit
- November 2022, Paper 3H, Q4 (1 mark): 30 < x < 300 x is 200% of y Circle the correct inequality. 10 < y < 100 15 < y < 150 60 < y < 600 90 < y < 900
- June 2022, Paper 1H, Q3 (1 mark): Circle the calculation that increases 240 by 7.5% 240 × 1.0705 240 × 1.705 240 × 1.075 240 × 1.75
- June 2022, Paper 2H, Q10 (2 marks): Harry and Ellie each bought a printer and a hard drive. Here is some information about how much they paid. Printer Hard drive Harry £80 £25 Ellie 10% less than
- June 2022, Paper 2H, Q12 (1 mark): 4y = 5x Which statement is correct? Tick one box. y is 80% of x y is 125% of x x is 20% of y x is 400% of y
- June 2022, Paper 2H, Q20 (4 marks): A company makes and sells boxes of washing powder. The company wants to increase the amount of money it receives per kg of powder. To get the required increase
- June 2022, Paper 3H, Q5 (3 marks): Laura works in a shop. The table shows the number of hours she works on two weekends. Saturday Sunday Weekend 1 3 2 Weekend 2 5 2 1 3 2 1 Work out the percentag
- November 2021, Paper 3H, Q6 (5 marks): At a country park there is a house, a museum and a garden. The table shows the prices per person to visit the park. Price per person Garden only Free House and
- November 2021, Paper 3H, Q11 (3 marks): Erik thinks of a prime number between 20 and 30 His number is x% of 125 Work out one possible value of x. Answer
- November 2021, Paper 3H, Q14 (3 marks): Phil sells ties. He increases the original price of each tie by 10% to £13.20 A month later he announces a sale. Phil says, “The ties will be back to their orig
- November 2020, Paper 3H, Q3 (1 mark): Work out 320 as a percentage of 80 Circle your answer. 25% 75% 300% 400%
- November 2020, Paper 3H, Q14 (4 marks): A rectangle has length 60 cm and width 40 cm The length decreases by 15% The width decreases by 10% Sue says, ‘‘The perimeter decreases by 25% because 15% + 10%
- November 2019, Paper 1H, Q1 (1 mark): Circle the calculation that decreases 250 by 15% 250 ÷ 1.15 250 × 0.15 250 × 0.85 250 ÷ 0.85
- November 2019, Paper 1H, Q16 (4 marks): In a box there are some buttons. 45 are large and the rest are small. Some are yellow and the rest are green. The number of small is 3 5 of the number of large.
- November 2019, Paper 2H, Q16 (2 marks): (a) Show that a% of b = b% of a 16 (b) Rosie says, “160% of 40 = 140% of 60 because a% of b = b% of a” Is she correct? Tick a box. Yes No Give a reason for your
- November 2019, Paper 3H, Q6 (4 marks): (a) Tom is tiling a wall. He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs. Work out the cheapest cost for Tom to buy the p
- November 2019, Paper 3H, Q15 (4 marks): When you earn money you pay income tax. The amount you pay depends on how much you earn that year. You pay 0% on the first £12 500 you earn 20% on the next £37
- June 2019, Paper 1H, Q7 (2 marks): Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party? Answer
- June 2019, Paper 2H, Q11 (2 marks): Joe and Kyle share an amount of money in the ratio 7 : n Joe gets 35% of the money. Work out the value of n. Answer
- June 2019, Paper 3H, Q21 (5 marks): Hanif makes green paint by mixing blue paint and yellow paint in the ratio blue : yellow = 7 : 3 He buys blue paint in 50-litre containers, each costing £225 He
- November 2018, Paper 1H, Q10 (3 marks): Work out the percentage increase from 80 to 280 Answer %
- November 2018, Paper 2H, Q19 (3 marks): There are four starters and ten main courses to choose from. Two of the starters and three of the main courses are suitable for vegans. What percentage of the p
- June 2018, Paper 1H, Q16 (1 mark): The value of y is 20% more than the value of x. Circle the ratio x : y 5 : 6 6 : 5 4 : 5 5 : 4
- June 2018, Paper 1H, Q23 (3 marks): A shopkeeper compares the income from sales of a laptop in March and April. April Price 5 1 more than March Number sold 4 1 less than March By what fraction doe
- June 2018, Paper 2H, Q4 (1 mark): Work out 40 as a percentage of 10 Circle your answer. 4% 25% 300% 400%
- June 2018, Paper 2H, Q6 (3 marks): The table shows information about the population of a city. Population in 2001 Population in 2011 420 000 480 000 Liam claims, “From 2011 to 2021 the population
- June 2018, Paper 3H, Q7 (4 marks): Investment A Save £150 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B Invest £3500 Compound interest is added at 3% per y
- June 2018, Paper 3H, Q9 (3 marks): The cost of a ticket increases by 10% to £19.25 Work out the original cost. Answer £
- November 2017, Paper 2H, Q2 (1 mark): What is 50 as a percentage of 20? Circle your answer. 10% 40% 150% 250%
- November 2017, Paper 2H, Q22 (5 marks): The cross section of an earring is a semicircle, centre C, radius 25 mm The earring is black and white. The shaded area is black. Not drawn accurately Sector BC
- November 2017, Paper 3H, Q2 (1 mark): y is 100% more than x. Circle the ratio x : y 1 : 100 100 : 1 1 : 2 2 : 1
- November 2017, Paper 3H, Q11 (7 marks): 42 men and 38 women visit a restaurant. 44 of these people have a voucher. Three times as many men as women do not have a voucher. 11 (a) Complete the frequency
- November 2017, Paper 3H, Q20 (1 mark): w is a positive number. x is 10% more than w. y is 10% less than x. Which statement is true? Tick one box. w < x and w < y w < x and w = y x > y and w > y x > y
- June 2017, Paper 1H, Q11 (5 marks): Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then
- June 2017, Paper 1H, Q18 (3 marks): Bottles of drink are for sale at three shops. The normal price of a bottle is the same at each shop. Shop C 30% off a bottle Shop B Buy 2 bottles Get 3 more bot
- June 2017, Paper 2H, Q17 (4 marks): P is a rectangle with length 50 cm and width x cm Q is a rectangle with width y cm Not drawn accurately P Q The length of Q is 20% more than the length of P. Th
- June 2017, Paper 3H, Q16 (3 marks): The value of a new car is £18 000 The value of the car decreases by 25% in the first year 12% in each of the next 4 years. Work out the value of the car after 5
- Specimen, Paper 1H, Q1 (1 mark): Circle the calculation that increases 400 by 7% 400 0.07 400 0.7 400 1.07 400 1.7
- Specimen, Paper 2H, Q5 (3 marks): In a sale, the original price of a bag was reduced by 1 5 The sale price of the bag is £29.40 Work out the original price. Answer £
- Specimen, Paper 2H, Q21 (3 marks): A company makes boxes of cereal. A box usually contains 450 grams of cereal. Here are two options for a special offer. Which option is the better value for the
- Specimen, Paper 3H, Q5 (3 marks): In 1999 the minimum wage for adults was £3.60 per hour. In 2013 it was £6.31 per hour. Work out the percentage increase in the minimum wage. Answer %
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