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Continuous uniform and other distributions: WJEC A‑Level Maths questions

WJEC A-Level Maths past-paper questions on 4.5 Continuous uniform and other distributions, 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 · Unit 4

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  2. Q2

    Summer 2024 · Unit 4

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  3. Q3

    Summer 2023 · Unit 4

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  4. Q3

    Summer 2022 · Unit 4

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All 5 questions on Continuous uniform and other distributions, as a list
  1. Summer 2025, Unit 4, Q1 (4 marks): A continuous random variable X is uniformly distributed over the interval [c, d]. The mean and 1. variance of X are 7.5 and 3 respectively. Find the values of c
  2. Summer 2024, Unit 4, Q2 (8 marks): The smallest angle θ, in degrees, of a right-angled triangle with hypotenuse 8 cm, is uniformly 2. distributed across all possible values. 8 cm (a) Find the mea
  3. Summer 2023, Unit 4, Q3 (5 marks): 3 The continuous random variable X is uniformly distributed over the interval [1, d]. a) The 90th percentile of X is 19. Find the value of d. [3] b) Calculate t
  4. Summer 2022, Unit 4, Q3 (8 marks): 3 Rectangles with perimeter 40 cm are produced randomly. The length, in cm, of the shorter side, X, is uniformly distributed across all possible values of X. a)
  5. Summer 2018, Unit 4, Q3 (10 marks): 3 Antonio arrives at a train station at a random point in time. The trains to his desired destination are scheduled to depart at 12-minute intervals. a) Assume

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