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Data presentation and interpretation: OCR A‑Level Maths questions

Every OCR A-Level Maths exam question on S.2 Data presentation and interpretation, 2018–2025, with its mark scheme and examiner’s report.

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494 questions

  1. Q9

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 9: Some students in a year-group took two tests, Test 1 and Test 2. The maximum mark in each test was 120. The students’ marks are illustrated in the cumulative fr
  2. Q13

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 13: The table shows excerpts from the census data for Age Structure in 2001 and 2011 for four Local Authorities (LAs) in South West England. Age LA Year 0 to 4 5 to
  3. Q9

    June 2025 · AS Paper 1

    The whole paper ↗
    June 2025 AS Paper 1, question 9: Sasha collected data from 11 students about the time they spent on computer games during the previous week and their marks in a test. The results are represente
  4. Q10

    June 2025 · AS Paper 1

    The whole paper ↗
    June 2025 AS Paper 1, question 10: Researchers investigated the change in the numbers of people in employment using underground, metro, light rail or tram (UMLRT) between 2001 and 2011. The data
  5. June 2024 Paper 2, question 10: Each month, the manager of a large store records the number, c, of customers who visit the store, and the amount, £h, spent on heating during that month. The ma
  6. Q11

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 11: The chart below represents the percentage increases (PI) in the numbers of employees using four different methods of travel to work from 2001 and 2011, in five
  7. Q11

    June 2024 · AS Paper 1

    The whole paper ↗
    June 2024 AS Paper 1, question 11: A biased six-sided dice is thrown several times. The results are shown in the table, where a is a constant. Score x 1 2 3 4 5 6 Frequency f 1 3 10 9 0 a You are
  8. Q12

    June 2024 · AS Paper 1

    The whole paper ↗
    June 2024 AS Paper 1, question 12: The table gives the percentage increases in the numbers of usual residents in five Local Authorities (LAs) in the West Midlands between 2001 and 2011. Age range
  9. Q8

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 8: The stem-and-leaf diagram shows the heights, in centimetres, of 15 plants. | 0 | 2 | 1 | 0 | 2 | 4 | 3 | 0 2 4 9 | 4 | 1 2 4 7 9 | 5 | 3 7 | 6 | 2 Key: | 2 | 5
  10. Q13

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 13: The scatter diagram uses information about all the Local Authorities (LAs) in the UK, taken from the 2011 census. For each LA it shows the percentage (x) of emp
  11. Q7

    June 2023 · AS Paper 1

    The whole paper ↗
    June 2023 AS Paper 1, question 7: (a) Two real numbers are denoted by a and b. (i) Write down expressions for the following. • The mean of the squares of a and b • The square of the mean of a an
  12. Q10

    June 2023 · AS Paper 1

    The whole paper ↗
    June 2023 AS Paper 1, question 10: The masses of a random sample of 120 boulders in a certain area were recorded. The results are summarized in the histogram. Frequency density 35 40 50 55 60 65
  13. Q12

    June 2023 · AS Paper 1

    The whole paper ↗
    June 2023 AS Paper 1, question 12: This question deals with information about the populations of Local Authorities (LAs) in the North of England, taken from the 2011 census. Fig. 1 Fig. 2 0.4 0.3
  14. June 2022 Paper 2, question 9: The heights, in centimetres, of a random sample of 150 plants of a certain variety were measured. The results are summarised in the histogram. Frequency density
  15. Q10

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 10: The table shows the age structure of usual residents of 18 Local Authorities (LAs) in the North West region of the UK in 2011. Local Age 65 and Age 0 to 17 Age
  16. Q8

    June 2022 · AS Paper 1

    The whole paper ↗
    June 2022 AS Paper 1, question 8: A random sample of 10 students from a college was chosen. They were asked how much time, x hours, they spent studying, and how much money, £y, they earned, in a
  17. Q10

    June 2022 · AS Paper 1

    The whole paper ↗
    June 2022 AS Paper 1, question 10: The table shows the increases, between 2001 and 2011, in the percentages of employees travelling to work by various methods, in the Local Authorities (LAs) in t
  18. Q11

    November 2021 · Paper 2

    The whole paper ↗
    November 2021 Paper 2, question 11: Zac is planning to write a report on the music preferences of the students at his college. There is a large number of students at the college. (a) State one rea
  19. Q13

    November 2021 · Paper 2

    The whole paper ↗
    November 2021 Paper 2, question 13: The four pie charts illustrate the numbers of employees using different methods of travel in four Local Authorities in 2011. Local Authority A Local Authority B
  20. Q11

    November 2021 · AS Paper 1

    The whole paper ↗
    November 2021 AS Paper 1, question 11: A student is investigating changes in the number of residents in Local Authorities in the South- East Region between 2001 and 2011. The scatter diagram shows th
All 32 questions on Data presentation and interpretation, as a list
  1. June 2025, Paper 2, Q9 (11 marks): Some students in a year-group took two tests, Test 1 and Test 2. The maximum mark in each test was 120. The students’ marks are illustrated in the cumulative fr
  2. June 2025, Paper 2, Q13 (6 marks): The table shows excerpts from the census data for Age Structure in 2001 and 2011 for four Local Authorities (LAs) in South West England. Age LA Year 0 to 4 5 to
  3. June 2025, AS Paper 1, Q9 (7 marks): Sasha collected data from 11 students about the time they spent on computer games during the previous week and their marks in a test. The results are represente
  4. June 2025, AS Paper 1, Q10 (6 marks): Researchers investigated the change in the numbers of people in employment using underground, metro, light rail or tram (UMLRT) between 2001 and 2011. The data
  5. June 2024, Paper 2, Q10 (11 marks): Each month, the manager of a large store records the number, c, of customers who visit the store, and the amount, £h, spent on heating during that month. The ma
  6. June 2024, Paper 2, Q11 (8 marks): The chart below represents the percentage increases (PI) in the numbers of employees using four different methods of travel to work from 2001 and 2011, in five
  7. June 2024, AS Paper 1, Q11 (7 marks): A biased six-sided dice is thrown several times. The results are shown in the table, where a is a constant. Score x 1 2 3 4 5 6 Frequency f 1 3 10 9 0 a You are
  8. June 2024, AS Paper 1, Q12 (5 marks): The table gives the percentage increases in the numbers of usual residents in five Local Authorities (LAs) in the West Midlands between 2001 and 2011. Age range
  9. June 2023, Paper 2, Q8 (7 marks): The stem-and-leaf diagram shows the heights, in centimetres, of 15 plants. | 0 | 2 | 1 | 0 | 2 | 4 | 3 | 0 2 4 9 | 4 | 1 2 4 7 9 | 5 | 3 7 | 6 | 2 Key: | 2 | 5
  10. June 2023, Paper 2, Q13 (10 marks): The scatter diagram uses information about all the Local Authorities (LAs) in the UK, taken from the 2011 census. For each LA it shows the percentage (x) of emp
  11. June 2023, AS Paper 1, Q7 (5 marks): (a) Two real numbers are denoted by a and b. (i) Write down expressions for the following. • The mean of the squares of a and b • The square of the mean of a an
  12. June 2023, AS Paper 1, Q10 (9 marks): The masses of a random sample of 120 boulders in a certain area were recorded. The results are summarized in the histogram. Frequency density 35 40 50 55 60 65
  13. June 2023, AS Paper 1, Q12 (4 marks): This question deals with information about the populations of Local Authorities (LAs) in the North of England, taken from the 2011 census. Fig. 1 Fig. 2 0.4 0.3
  14. June 2022, Paper 2, Q9 (14 marks): The heights, in centimetres, of a random sample of 150 plants of a certain variety were measured. The results are summarised in the histogram. Frequency density
  15. June 2022, Paper 2, Q10 (10 marks): The table shows the age structure of usual residents of 18 Local Authorities (LAs) in the North West region of the UK in 2011. Local Age 65 and Age 0 to 17 Age
  16. June 2022, AS Paper 1, Q8 (4 marks): A random sample of 10 students from a college was chosen. They were asked how much time, x hours, they spent studying, and how much money, £y, they earned, in a
  17. June 2022, AS Paper 1, Q10 (6 marks): The table shows the increases, between 2001 and 2011, in the percentages of employees travelling to work by various methods, in the Local Authorities (LAs) in t
  18. November 2021, Paper 2, Q11 (12 marks): Zac is planning to write a report on the music preferences of the students at his college. There is a large number of students at the college. (a) State one rea
  19. November 2021, Paper 2, Q13 (7 marks): The four pie charts illustrate the numbers of employees using different methods of travel in four Local Authorities in 2011. Local Authority A Local Authority B
  20. November 2021, AS Paper 1, Q11 (6 marks): A student is investigating changes in the number of residents in Local Authorities in the South- East Region between 2001 and 2011. The scatter diagram shows th
  21. November 2020, Paper 2, Q9 (4 marks): The histogram shows information about the numbers of cars in five different price ranges, sold in one year at a car showroom. Frequency density 0.007 0.006 0.00
  22. November 2020, Paper 2, Q11 (9 marks): As part of a research project, the masses, m grams, of a random sample of 1000 pebbles from a certain beach were recorded. The results are summarised in the tab
  23. November 2020, Paper 2, Q14 (6 marks): Table 1 shows the numbers of usual residents in the age range 0 to 4 in 15 Local Authorities (LAs) in 2001 and 2011. The table also shows the increase in the nu
  24. November 2020, AS Paper 1, Q8 (5 marks): The histogram shows information about the lengths, l centimetres, of a sample of worms of a certain species. Frequency density 0 1 2 3 4 5 6 7 8 9 10 Length (lc
  25. November 2020, AS Paper 1, Q9 (8 marks): A researcher is studying changes in behaviour in travelling to work by people who live outside London, between 2001 and 2011. He chooses the 15 Local Authoritie
  26. June 2019, Paper 2, Q8 (6 marks): The stem-and-leaf diagram shows the heights, in centimetres, of 17 plants, measured correct to the nearest centimetre. 5 5 7 9 9 6 3 4 5 5 5 9 9 7 4 5 7 9 9 8 9
  27. June 2019, Paper 2, Q11 (8 marks): A trainer was asked to give a lecture on population profiles in different Local Authorities (LAs) in the UK. Using data from the 2011 census, he created the fol
  28. June 2019, AS Paper 1, Q8 (3 marks): (a) Joseph drew a histogram to show information about one Local Authority. He used data from the “Age structure by LA 2011” tab in the large data set. The table
  29. June 2019, AS Paper 1, Q9 (4 marks): The table shows information about the number of days absent last year by students in class 2A at a certain school. Number of More 0 1 2 to 4 5 to 10 11 to 20 21
  30. June 2019, AS Paper 1, Q10 (6 marks): The table shows extracts from the “Method of travel by LA” tabs for 2001 and 2011 in the large data set. Local Underground, Bus, Motorcycle, All people in Drivi
  31. June 2018, Paper 2, Q11 (6 marks): Christa used Pearson’s product-moment correlation coefficient, r, to compare the use of public transport with the use of private vehicles for travel to work in
  32. June 2018, AS Paper 1, Q13 (7 marks): The radar diagrams illustrate some population figures from the 2011 census results. Liverpool Rutland 1 1 150000 10000 100000 100000 6 2 6 2 5000 5000 50000 500

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