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Sets and Venn diagrams: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on P6 Sets and Venn diagrams, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q15

    November 2024 · Paper 4

    The whole paper ↗
    November 2024 Paper 4, question 15: In a survey, some students were asked whether they had travelled to school by bus (B) or by car (C) in the last week. The Venn diagram shows some of the results
  2. Q23

    June 2024 · Paper 5

    The whole paper ↗
    June 2024 Paper 5, question 23: In a survey, 50 people are asked which sports they watch. The results are shown on the Venn diagram. % Football Athletics 10 6 4 1 5 16 7 1 Golf (a) One person
  3. Q12

    November 2023 · Paper 6

    The whole paper ↗
    November 2023 Paper 6, question 12: A cafe owner recorded information about customer orders for coffee. They recorded whether the customer asked for milk (M) and whether the customer asked for sug
  4. Q10

    June 2023 · Paper 4

    The whole paper ↗
    June 2023 Paper 4, question 10: 100 people were asked whether they had visited France (F) or Spain (S). • 55 had visited France • 60 had visited Spain • 4 had not visited either country. (a) C
  5. Q16

    November 2022 · Paper 4

    The whole paper ↗
    November 2022 Paper 4, question 16: A salesroom sells various types of car. Some cars are electric (E), some are petrol (P), some are both and some are neither. The Venn diagram below shows the sa
  6. Q14

    June 2022 · Paper 5

    The whole paper ↗
    June 2022 Paper 5, question 14: In a survey about music, some students were asked whether they like pop (P) and whether they like rap (R). The Venn diagram shows some of the results. x student
  7. Q16

    November 2021 · Paper 5

    The whole paper ↗
    November 2021 Paper 5, question 16: In a group of 60 students, 40 own a smartphone, 27 own a tablet and 8 own neither. A student is chosen at random from those that own a tablet. Find the probabil
  8. Q11

    November 2021 · Paper 6

    The whole paper ↗
    November 2021 Paper 6, question 11: In a class of 30 students • 17 study French (F) • 20 study German (G) • 2 do not study either subject. (a) Complete the Venn diagram. F G 2 (b) Two of the 30 st
  9. Q4

    November 2020 · Paper 4

    The whole paper ↗
    November 2020 Paper 4, question 4: In a survey, 60 students were asked whether they have a bank account (B) and whether they have a part-time job (J). The number of students who had neither a ban
  10. Q16

    November 2019 · Paper 5

    The whole paper ↗
    November 2019 Paper 5, question 16: 50 people attended an outdoor activity day. • 40 took part in walking. • 18 took part in sailing. • 3 did neither activity. One of the people who walked is chos
  11. Q6

    June 2019 · Paper 4

    The whole paper ↗
    June 2019 Paper 4, question 6: 120 students in Year 10 and Year 11 sit a test. • 61 of the students are in Year 10. • 83 of the students are right-handed. • 20 of the students in Year 11 are
  12. Q18

    June 2019 · Paper 5

    The whole paper ↗
    June 2019 Paper 5, question 18: 21 people travelled to a meeting. • 12 used a train. • 6 used a car. • 7 did not use a train or a car. • Some used a train and a car. Two people are chosen at r
  13. Q9

    November 2018 · Paper 4

    The whole paper ↗
    November 2018 Paper 4, question 9: 72 children are asked whether they have a laptop or an iPad. • 31 have a laptop. • 48 have an iPad. • 12 have both. • 5 have neither. (a) Represent this informa
  14. Q14

    June 2018 · Paper 4

    The whole paper ↗
    June 2018 Paper 4, question 14: The Venn diagram shows the number of students studying Mathematics (M) and the number of students studying Physics (P) in a college. 35 students do not study ei
  15. Q9

    November 2017 · Paper 4

    The whole paper ↗
    November 2017 Paper 4, question 9: Here are the results of a survey of 437 people in a town. • 62 males speak Spanish. • 153 females do not speak Spanish. • 280 people do not speak Spanish. Jeff
  16. Q18

    June 2017 · Paper 5

    The whole paper ↗
    June 2017 Paper 5, question 18: In a group of 120 adults, 85 watch football, 78 play a sport and 20 do neither. Find the probability that an adult chosen at random from those who watch footbal
All 16 questions on Sets and Venn diagrams, as a list
  1. November 2024, Paper 4, Q15 (5 marks): In a survey, some students were asked whether they had travelled to school by bus (B) or by car (C) in the last week. The Venn diagram shows some of the results
  2. June 2024, Paper 5, Q23 (5 marks): In a survey, 50 people are asked which sports they watch. The results are shown on the Venn diagram. % Football Athletics 10 6 4 1 5 16 7 1 Golf (a) One person
  3. November 2023, Paper 6, Q12 (4 marks): A cafe owner recorded information about customer orders for coffee. They recorded whether the customer asked for milk (M) and whether the customer asked for sug
  4. June 2023, Paper 4, Q10 (7 marks): 100 people were asked whether they had visited France (F) or Spain (S). • 55 had visited France • 60 had visited Spain • 4 had not visited either country. (a) C
  5. November 2022, Paper 4, Q16 (2 marks): A salesroom sells various types of car. Some cars are electric (E), some are petrol (P), some are both and some are neither. The Venn diagram below shows the sa
  6. June 2022, Paper 5, Q14 (6 marks): In a survey about music, some students were asked whether they like pop (P) and whether they like rap (R). The Venn diagram shows some of the results. x student
  7. November 2021, Paper 5, Q16 (5 marks): In a group of 60 students, 40 own a smartphone, 27 own a tablet and 8 own neither. A student is chosen at random from those that own a tablet. Find the probabil
  8. November 2021, Paper 6, Q11 (8 marks): In a class of 30 students • 17 study French (F) • 20 study German (G) • 2 do not study either subject. (a) Complete the Venn diagram. F G 2 (b) Two of the 30 st
  9. November 2020, Paper 4, Q4 (5 marks): In a survey, 60 students were asked whether they have a bank account (B) and whether they have a part-time job (J). The number of students who had neither a ban
  10. November 2019, Paper 5, Q16 (5 marks): 50 people attended an outdoor activity day. • 40 took part in walking. • 18 took part in sailing. • 3 did neither activity. One of the people who walked is chos
  11. June 2019, Paper 4, Q6 (6 marks): 120 students in Year 10 and Year 11 sit a test. • 61 of the students are in Year 10. • 83 of the students are right-handed. • 20 of the students in Year 11 are
  12. June 2019, Paper 5, Q18 (6 marks): 21 people travelled to a meeting. • 12 used a train. • 6 used a car. • 7 did not use a train or a car. • Some used a train and a car. Two people are chosen at r
  13. November 2018, Paper 4, Q9 (5 marks): 72 children are asked whether they have a laptop or an iPad. • 31 have a laptop. • 48 have an iPad. • 12 have both. • 5 have neither. (a) Represent this informa
  14. June 2018, Paper 4, Q14 (3 marks): The Venn diagram shows the number of students studying Mathematics (M) and the number of students studying Physics (P) in a college. 35 students do not study ei
  15. November 2017, Paper 4, Q9 (6 marks): Here are the results of a survey of 437 people in a town. • 62 males speak Spanish. • 153 females do not speak Spanish. • 280 people do not speak Spanish. Jeff
  16. June 2017, Paper 5, Q18 (5 marks): In a group of 120 adults, 85 watch football, 78 play a sport and 20 do neither. Find the probability that an adult chosen at random from those who watch footbal

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