plumiThe normal distribution: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on N.2 The normal 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 11 questions on The normal distribution, as a list
- June 2025, Paper 3, Q14 (1 mark): It is given that X ~ N(9, 1.52) and P(a ≤ X ≤ b) ≈ 95% Identify the correct pair of values of a and b. Tick (✓) one box. [1 mark] a = 4.5 and b = 13.5 a = 6 and
- June 2025, Paper 3, Q18 (10 marks): The cholesterol level, X, of an adult can be modelled by a normal distribution with mean 5.7 mmol/l and standard deviation 1.2 mmol/l. 18 (a) The lower quartile
- June 2025, Paper 3, Q20 (9 marks): The oxides of nitrogen emissions, F g/km, of a car registered in 2000 can be modelled by a normal distribution with mean 0.41 and standard deviation 0.07 20 (a)
- June 2024, Paper 3, Q17 (14 marks): In 2019, the lengths of new-born babies at a clinic can be modelled by a normal distribution with mean 50 cm and standard deviation 4 cm. 17 (a) This normal dis
- June 2023, Paper 3, Q14 (10 marks): The mass of aluminium cans recycled each day in a city may be modelled by a normal distribution with mean 24 500 kg and standard deviation 5 200 kg. 14 (a) Stat
- June 2023, Paper 3, Q16 (9 marks): A farm supplies apples to a supermarket. The diameters of the apples, D centimetres, are normally distributed with mean 6.5 and standard deviation 0.73 16 (a) (
- June 2022, Paper 3, Q18 (11 marks): In a particular year, the height of a male athlete at the Summer Olympics has a mean 1.78 metres and standard deviation 0.23 metres. The heights of 95% of male
- November 2021, Paper 3, Q18 (10 marks): A factory produces jars of jam and jars of marmalade. 18 (a) The weight, X grams, of jam in a jar can be modelled as a normal variable with mean 372 and a stand
- November 2020, Paper 3, Q17 (8 marks): The lifetime of Zaple smartphone batteries, X hours, is normally distributed with mean 8 hours and standard deviation 1.5 hours. 17 (a) (i) Find P(X 6= 8) [1 ma
- June 2019, Paper 3, Q17 (12 marks): Elizabeth’s Bakery makes brownies. It is known that the mass, X grams, of a brownie may be modelled by a normal distribution. 10% of the brownies have a mass le
- June 2018, Paper 3, Q16 (12 marks): A survey of 120 adults found that the volume, X litres per person, of carbonated drinks they consumed in a week had the following results: X x = 165:6 X x2 = 26
Questions, mark schemes and examiner’s reports are © AQA, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? AQA A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.