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Confidence Intervals: AQA A‑Level Further Maths questions

Every AQA A-Level Further Maths exam question on SH Confidence Intervals, 2019–2025, with its mark scheme and examiner’s report.

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682 questions

  1. Q6

    June 2025 · Paper 3 Statistics

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  2. Q5

    June 2025 · AS Paper 2 Statistics

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  3. Q10

    June 2024 · Paper 3 Statistics

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  4. Q3

    June 2024 · AS Paper 2 Statistics

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  5. Q3

    June 2023 · Paper 3 Statistics

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  6. Q5

    June 2023 · AS Paper 2 Statistics

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  7. Q5

    June 2022 · Paper 3 Statistics

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  8. Q4

    June 2022 · AS Paper 2 Statistics

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  9. Q4

    November 2021 · Paper 3 Statistics

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  10. Q4

    November 2021 · AS Paper 2 Statistics

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  11. Q3

    November 2020 · Paper 3 Statistics

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  12. Q4

    November 2020 · AS Paper 2 Statistics

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  13. Q3

    June 2019 · Paper 3 Statistics

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  14. Q3

    June 2019 · AS Paper 2 Statistics

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All 14 questions on Confidence Intervals, as a list
  1. June 2025, Paper 3 Statistics, Q6 (8 marks): Students are given a questionnaire asking them about their experiences while studying at their university. Each student’s answers are used to calculate that stu
  2. June 2025, AS Paper 2 Statistics, Q5 (7 marks): Journey times from a town to the nearest city have a normal distribution with known standard deviation 8.1 minutes. A random sample of 50 journey times is taken
  3. June 2024, Paper 3 Statistics, Q10 (7 marks): The length, X cm, of teeth for an extinct breed of shark is known to have a normal distribution. A random sample of 250 teeth has the following summary statisti
  4. June 2024, AS Paper 2 Statistics, Q3 (3 marks): The random variable X has a normal distribution with known variance 15.7 A random sample of size 120 is taken from X The sample mean is 68.2 Find a 94% confiden
  5. June 2023, Paper 3 Statistics, Q3 (3 marks): The masses of tins of a particular brand of spaghetti are normally distributed with mean m grams and standard deviation 4.1 grams. A random sample of 11 tins of
  6. June 2023, AS Paper 2 Statistics, Q5 (6 marks): Rebekah is investigating the distances, X light years, between the Earth and visible stars in the night sky. She determines the distance between the Earth and a
  7. June 2022, Paper 3 Statistics, Q5 (6 marks): The mass, X, in grams of a particular type of apple is modelled using a normal distribution. A random sample of 12 apples is collected and the summarised result
  8. June 2022, AS Paper 2 Statistics, Q4 (4 marks): The height of lilac trees, in metres, can be modelled by a normal distribution with variance 0.7 A random sample of n lilac trees is taken and used to construct
  9. November 2021, Paper 3 Statistics, Q4 (6 marks): Oscar is studying the daily maximum temperature in °C in a village during the month of June. He constructs a 95% confidence interval of width 0.8°C using a rand
  10. November 2021, AS Paper 2 Statistics, Q4 (6 marks): The distance a particular football player runs in a match is modelled by a normal distribution with standard deviation 0.3 kilometres. A random sample of n matc
  11. November 2020, Paper 3 Statistics, Q3 (4 marks): The mass of male giraffes is assumed to have a normal distribution. Duncan takes a random sample of 600 male giraffes. The mean mass of the sample is 1196 kilog
  12. November 2020, AS Paper 2 Statistics, Q4 (3 marks): Murni is investigating the annual salary of people from a particular town. She takes a random sample of 200 people from the town and records their annual salary
  13. June 2019, Paper 3 Statistics, Q3 (4 marks): Alan’s journey time to work can be modelled by a normal distribution with standard deviation 6 minutes. Alan measures the journey time to work for a random samp
  14. June 2019, AS Paper 2 Statistics, Q3 (5 marks): Fiona is studying the heights of corn plants on a farm. She measures the height, x cm, of a random sample of 200 corn plants on the farm. The summarised results

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