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The Poisson distribution: WJEC A‑Level Maths questions

WJEC A-Level Maths past-paper questions on 4.4 The Poisson distribution, 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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314 questions

  1. Q1

    Summer 2025 · AS Unit 2

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  2. Q2

    Summer 2024 · AS Unit 2

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  4. Q3

    Summer 2022 · AS Unit 2

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  5. Q3

    Summer 2019 · AS Unit 2

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All 6 questions on The Poisson distribution, as a list
  1. Summer 2025, AS Unit 2, Q1 (6 marks): 1. Financial transactions on a network occur at an average rate of one every 10 minutes. Transactions occur singly, randomly and independently. (a) Stating an a
  2. Summer 2024, AS Unit 2, Q2 (10 marks): A baker sells 3.5 birthday cakes per hour on average. 2. (a) State, in context, two assumptions you would have to make in order to model the number of birthday
  3. Summer 2023, AS Unit 2, Q4 (6 marks): 4 Sources of the radioactive element caesium each emit radioactive particles at an average rate of 4 per second. The numbers of emissions are modelled by a Pois
  4. Summer 2022, AS Unit 2, Q3 (6 marks): 3 In a study, samples of soil were collected during the summer. Soil samples of dimensions 25 cm × 25 cm × 40 cm were collected for analysis. The study found th
  5. Summer 2019, AS Unit 2, Q3 (7 marks): 3 The number of patients arriving at the Accident and Emergency (A&E) department of a hospital has a mean of 5.3 per hour. A Poisson distribution is used to mod
  6. Summer 2018, AS Unit 2, Q3 (6 marks): Naomi produces oak tabletops, each of area 4.8 m2. Defects in the oak tabletops occur 0 3 randomly at a rate of 0.25 per m2. a) Find the probability that a rand

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