plumiProbability, Venn and tree diagrams: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on M.1 Probability, Venn and tree diagrams, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 11 questions on Probability, Venn and tree diagrams, as a list
- June 2025, Paper 3, Q19 (10 marks): Three events X, Y and Z are such that P(X) = P(Y ) = 0.38 P(X ∪ Z) = 0.5 P[(X ∪ Y)' ] = 0.35 X and Z are mutually exclusive. 19 (a) Find P(Z) [1 mark] 19 (b) Co
- June 2024, Paper 3, Q13 (1 mark): The shaded region on one of the Venn diagrams below represents (A ∩ C) ∩ B Identify this Venn diagram. Tick (✓) one box. [1 mark] A B C C A B C A B C A B
- June 2024, Paper 3, Q18 (7 marks): The Human Resources director in a company is investigating the graduate status and salaries of its employees. Event G is defined as the employee is a graduate.
- June 2023, Paper 3, Q11 (1 mark): A and B are mutually exclusive events. Which one of the following statements must be correct? Tick (3) one box. [1 mark] P(A ¨ B) = P(A) × P(B) P(A ¨ B) = P(A)
- June 2023, Paper 3, Q13 (4 marks): There are two types of coins in a money box: * 20% are bronze coins * 80% are silver coins Craig takes out a coin at random and places it back in the money box.
- June 2022, Paper 3, Q16 (10 marks): A sample of 240 households were asked which, if any, of the following animals they own as pets: * cats (C) * dogs (D) * tortoises (T ) The results are shown in
- November 2021, Paper 3, Q14 (7 marks): A and B are two events such that P(A ˙ B) = 0:1 P(A0 ˙ B0) = 0:2 P(B) = 2P(A) 14 (a) Find P(A) [4 marks] 14 (b) Find P(BjA) [2 marks] 14 (c) Determine if A and
- November 2020, Paper 3, Q10 (1 mark): The probabilities of events A, B and C are related, as shown in the Venn diagram below. x A ε 0.12 0.05 B 0.18 0.30 C 0.24 Find the value of x. Circle your answ
- November 2020, Paper 3, Q13 (6 marks): Diedre is a head teacher in a school which provides primary, secondary and sixth-form education. There are 200 teachers in her school. The number of teachers in
- June 2019, Paper 3, Q14 (7 marks): A survey was conducted into the health of 120 teachers. The survey recorded whether or not they had suffered from a range of four health issues in the past year
- June 2018, Paper 3, Q14 (6 marks): A teacher in a college asks her mathematics students what other subjects they are studying. She finds that, of her 24 students: 12 study physics 8 study geograp
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