plumiSets and Venn diagrams: AQA GCSE Maths questions
Every AQA 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 23 questions on Sets and Venn diagrams, as a list
- June 2025, Paper 1H, Q16 (3 marks): A and B are two events. Match each box on the left to the correct shaded area on the Venn diagrams. One has been done for you.
- June 2025, Paper 3H, Q10 (2 marks): The Venn diagram shows some of the numbers of items in each set. P(A) = 1 2 Work out the value of x. x =
- November 2024, Paper 1H, Q10 (4 marks): Clive owns two coffee shops, A and B. Out of 150 people • 18 people use both shops • 46% use shop A • 5 2 use shop B only. Complete the Venn diagram to represen
- June 2024, Paper 1H, Q5 (4 marks): A school year has 78 students. 28 wear glasses. 1 4 of the students who wear glasses are left-handed. 30% of the students who do not wear glasses are left-hande
- June 2024, Paper 2H, Q9 (1 mark): On the Venn diagram, shade the section represented by P ∩ Q
- November 2023, Paper 1H, Q16 (4 marks): The Venn diagram shows information about 80 people who visited an online shop. ξ = 80 people T = people who bought trainers H = people who bought a hoodie 16 (a
- November 2023, Paper 2H, Q10 (1 mark): Which of these represents the shaded region? Circle your answer. B A' U B A' ∩ B A'
- June 2023, Paper 1H, Q11 (3 marks): The Venn diagram represents 100 items. 11 (a) Write down P(A ∩ B) Answer 11 (b) Work out P(A') Answer 11 (c) Work out P(A U B) Answer
- November 2022, Paper 1H, Q10 (3 marks): Here is some information about 120 people who visit a shop. 4 3 of the people buy neither a coat nor a dress. 19 people buy a coat. 14 people buy a dress. Compl
- June 2022, Paper 1H, Q7 (2 marks): In a group of 98 students 25 study both Art and French 10 study Art but do not study French 41 study French. Joel draws this Venn diagram to represent the infor
- June 2022, Paper 2H, Q2 (1 mark): Circle the expression that means the probability of A and not B. P(A' U B) P(A U B') P(A' ∩ B) P(A ∩ B')
- November 2020, Paper 1H, Q7 (4 marks): Here is some information about 80 people who play in bands. 12 are singers but not guitar players. 30% are neither a singer nor a guitar player. 4 1 of the guit
- November 2020, Paper 3H, Q1 (1 mark): What does A U B represent in P(A U B) ? Circle your answer. A or B or both A but not B not A and not B A and B
- November 2019, Paper 1H, Q20 (4 marks): The Venn diagram shows information about some houses. G = houses with a garage S = houses with a shed A house is chosen at random. 20 (a) The house has a garage
- June 2019, Paper 2H, Q4 (1 mark): Which of these represents the shaded region? Circle your answer. A U B (A ∩ B)/ A ∩ B A/ U B/
- June 2019, Paper 3H, Q22 (2 marks): ξ = 29 students in a class C = students who own a cat D = students who own a dog 22 (a) A student is chosen at random. Circle the probability that the student o
- November 2018, Paper 1H, Q14 (2 marks): A and B are two events. Some probabilities are shown on the Venn diagram. Work out P(A/ U B) Answer
- November 2018, Paper 2H, Q1 (1 mark): What does (A ∩ B) represent in P(A ∩ B) ? Circle your answer. A or B or both A but not B not A and not B A and B
- June 2018, Paper 1H, Q22 (1 mark): Which of these represents the shaded region? Circle your answer. A ∩ B/ B/ A U B/ A/ U B/
- November 2017, Paper 2H, Q18 (2 marks): (a) Which of these represents the shaded region? Circle your answer. A B/ A ∩ B/ A U B/ 18 (b) Which of these represents the shaded region? Circle your answer.
- November 2017, Paper 3H, Q14 (4 marks): In the Venn diagram ξ represents 31 students in a class C is students who have a cat D is students who have a dog 14 (a) One student from the class is picked at
- June 2017, Paper 2H, Q18 (4 marks): A school has 86 teachers. 42 are male and 44 are female. 3 1 of the male teachers have blue eyes. 4 1 of the female teachers have blue eyes. 18 (a) ξ = teachers
- Specimen, Paper 2H, Q6 (4 marks): ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} S = square numbers E = even numbers 6 (a) Complete the Venn diagram. S E ξ 6 (b) One of the numbers is chosen at ran
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