plumiSharing in a ratio: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on R5 Sharing in a ratio, 2017–2025, with its mark scheme and examiner’s report.
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All 35 questions on Sharing in a ratio, as a list
- June 2025, Paper 5, Q8 (5 marks): Three lengths of wood are in the ratio 2 : 5 : 7. The difference in size between two of the lengths of wood is 30 cm. Kofi says, The sum of the three lengths of
- 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, 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 4, Q8 (4 marks): There is a total of 354 balls in a bag. There are white balls, red balls and green balls only. The ratio of white balls to red balls is 3 : 4. The ratio of red
- November 2024, Paper 6, Q3 (4 marks): A bag contains only blue, green and red counters in the ratio 7 : 3 : 2. There are 76 more blue counters than green counters in the bag. Work out the total numb
- June 2024, Paper 4, Q4 (9 marks): A school is deciding on a charity to support. Each student at the school votes for one of four charities, A, B, C or D. The results are to be shown in a pie cha
- 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 5, Q7 (6 marks): A bottle contains 1 4 To make orange squash, 1 part of this cordial is mixed with 7 parts of water. 1 of a litre are completely filled with this orange squash.
- June 2024, Paper 6, Q7 (6 marks): Two bags of fruit contain only apples and bananas. In bag X, the ratio of apples to bananas is 5 : 7. 5 of the fruit are apples. In bag Y, 12 (a) Finley says Ba
- 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, Q9 (4 marks): A large box of chocolates contains dark, milk and white chocolates. When Riley opens the box, the ratio of dark to milk to white chocolates is 3 : 2 : 4. Riley’
- June 2023, Paper 4, Q3 (5 marks): (a) Eve, Jack and Ling share some money in the ratio 2 : 3 : 4. Jack gets £720. Work out how much Ling gets. (a) £ (b) Amir, Beth and Casey share some money in
- June 2023, Paper 6, Q9 (4 marks): On Heidi’s bookcase, the ratio of fiction to non-fiction books is 2 : 3. Heidi removes 2 fiction books from the bookcase. The ratio of fiction to non-fiction bo
- November 2022, Paper 4, Q8 (5 marks): A bag contains 35 balls. Each ball is either red or green. The ratio of red balls to green balls is 3 : 2. Work out the smallest number of balls of each colour
- 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 5, Q10 (6 marks): The parallelogram and the trapezium have the same area. x cm Not to scale 6 cm 5 cm 4 cm y cm 8 cm The ratio of x : y is 3 : 5. Find the value of x and the valu
- November 2022, Paper 6, Q2 (3 marks): A recipe for a batch of jam needs 3 oranges, 5 lemons and 1.5 kg of sugar. A cook uses the recipe to make lots of batches of jam. They use 16 more lemons than o
- June 2022, Paper 6, Q11 (6 marks): Amir, Beth and Charlie work in a cafe. Customers give spare change as tips. At the end of each week, Amir, Beth and Charlie share the total amount of tips betwe
- November 2021, Paper 6, Q2 (4 marks): Azmi, Beth and Callum share a flat. (a) The monthly rent is £760. They share the rent in the ratio 2 : 3 : 3. How much does Beth pay for rent each month? (a) £
- November 2020, Paper 5, Q3 (5 marks): (a) The ratio 45 minutes to 3 hours 45 minutes can be written in the form 1 : n. Find the value of n. (a) n = (b) Reece and Sarah share some money in the ratio
- November 2020, Paper 5, Q20 (7 marks): ABCD is a trapezium. D C Not to scale A B The perimeter of the trapezium is 56 cm. The ratio AD : AB : DC : BC = 5 : 12 : 6 : 5. Calculate the area of the trape
- November 2020, Paper 6, Q8 (4 marks): Li has t toy bricks. She only has red bricks and blue bricks. Li picks two bricks, one after the other. 2 . If the first brick she picks is red, the probability
- November 2019, Paper 4, Q4 (8 marks): Bob makes dry concrete by mixing cement, sand and stone in the ratio 1 : 2 : 3 by weight. He buys the cement, sand and stone in bags as shown in this table. Wei
- November 2019, Paper 5, Q7 (4 marks): Sundip and Emma have some money. The ratio of Sundip’s money to Emma’s money is 3 : 5. Emma spends £450 of her money. The ratio of Sundip’s money to Emma’s mone
- 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. £
- June 2019, Paper 4, Q3 (5 marks): (a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5. 1 of his share to a charity. Colin gives 3 What fraction of the whole prize does Colin give to t
- June 2019, Paper 6, Q6 (4 marks): A bag contains some counters. • There are 300 counters in the bag. • There are only red, white and blue counters in the bag. 23 . • The probability of picking a
- November 2018, Paper 6, Q6 (4 marks): In a box of mixed nuts, the total number of almonds, cashews and peanuts is 1025. The ratio of almonds to cashews is 1 : 3. The ratio of cashews to peanuts is 5
- June 2018, Paper 4, Q1 (4 marks): (a) The ratio 2 centimetres to 5 metres can be written in the form 1 : n. Find the value of n. (a) n = (b) Jay, Sheila and Harry share £7200 in the ratio 1 : 2
- 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 4, Q6 (4 marks): Maria mixes white paint and red paint in the ratio 2 : 3. She makes a total of 15 litres of paint. How much more red paint does she need to add to the mixture s
- November 2017, Paper 5, Q8 (6 marks): The angles in a triangle are in the ratio 1 : 2 : 3. (a) Show that the triangle is a right-angled triangle. (b) The hypotenuse of the triangle is 15 cm long. Ca
- November 2017, Paper 5, Q9 (4 marks): There is a total of 250 men, women and children on a train. The ratio of men to women is 4 : 5. The ratio of women to children is 10 : 7. How many men are on th
- November 2017, Paper 6, Q6 (7 marks): (a) Two bags each contain only red counters and yellow counters. In Bag A, the ratio of red counters to yellow counters is 1 : 4. 1 of the counters are red. In
- June 2017, Paper 5, Q7 (5 marks): The population of a village is in the following ratios. • men : children = 11 : 3 • women : children = 5 : 2 (a) Find the ratio men : women. Give your answer in
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