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Combining normal variables and the Central Limit Theorem: WJEC A‑Level Further Maths questions

Every WJEC A-Level Further Maths exam question on 5.2 Combining normal variables and the Central Limit Theorem, 2018–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q4

    Summer 2025 · Unit 5

    The whole paper ↗
  2. Q7

    Summer 2024 · Unit 5

    The whole paper ↗
  3. Q5

    Summer 2023 · Unit 5

    The whole paper ↗
  4. Q2

    Summer 2022 · Unit 5

    The whole paper ↗
  5. Q3

    Summer 2019 · Unit 5

    The whole paper ↗
All 7 questions on Combining normal variables and the Central Limit Theorem, as a list
  1. Summer 2025, Unit 5, Q4 (14 marks): 4. The time taken, X minutes, for people to complete puzzles of Type A can be modelled by the normal distribution   2 N 10, 3 2  . You may assume that the ti
  2. Summer 2024, Unit 5, Q7 (19 marks): 7. A farmer uses many identical containers to store four different types of grain: wheat, corn, einkorn and emmer. The mass W, in kg, of wheat stored in each in
  3. Summer 2023, Unit 5, Q5 (13 marks): 5. The masses, X, in kg, of men who work for a large company are normally distributed with mean 75 and standard deviation 10. (a) Find the probability that the
  4. Summer 2023, Unit 5, Q7 (7 marks): 7. Branwen intends to buy a new bike, either a Cannotrek or a Bianchondale. If there is evidence that the difference in the mean times on the two bikes over a 1
  5. Summer 2022, Unit 5, Q2 (15 marks): 2. Geraint is a beekeeper. The amounts of honey, X kg, that he collects annually, from each hive ( ) N 15,52 are modelled by the normal distribution . At locati
  6. Summer 2022, Unit 5, Q7 (19 marks): 7. B C A D $ $ The diagram above shows a cyclic quadrilateral ABCD, where BAD = α, BCD = β and α + β = 180°. These angles are measured. $ $ The random variables
  7. Summer 2019, Unit 5, Q3 (9 marks): 3. The rules for the weight of a cricket ball state: “The ball, when new, shall weigh not less than 155.9 g, nor more than 163 g.” A company produces cricket ba

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