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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All 16 questions on Sets and Venn diagrams, as a list
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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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