plumiSampling distributions and the central limit theorem: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 7.1 Sampling distributions and the central limit theorem, 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.
All papers
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 PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 13 questions on Sampling distributions and the central limit theorem, as a list
- June 2025, Further Statistics 2, Q6 (17 marks): Xiang owns a takeaway restaurant and wants to employ a delivery company. Xiang uses two companies, A and B, for one week each and records the delivery rate, x m
- June 2025, Further Statistics 2, Q7 (11 marks): A random sample X1 , X2 , X3 , X4 and X5 is taken from a distribution X ~ N (μ, σ 2) Nina and Jonah each use unbiased estimators to estimate μ Nina uses X‾ = 1
- June 2024, Further Statistics 1, Q4 (12 marks): Every morning Geethaka repeatedly rolls a fair, six‑sided die until he rolls a 3 and then he stops. The random variable X represents the number of times he roll
- June 2024, Further Statistics 2, Q7 (11 marks): Two organisations are each asked to carry out a survey to find out the proportion, p, of the population that would vote for a particular political party. The fi
- June 2023, Further Statistics 1, Q4 (6 marks): There are 32 students in a class. Each student rolls a fair die repeatedly, stopping when their total number of sixes is 4 Each student records the total number
- June 2023, Further Statistics 2, Q8 (12 marks): A bag contains a large number of marbles of which an unknown proportion, p, is yellow. Three random samples of size n are taken, and the number of yellow marble
- June 2022, Further Statistics 1, Q5 (5 marks): A random sample of 150 observations is taken from a geometric distribution with parameter 0.3 Estimate the probability that the mean of the sample is less than
- June 2022, Further Statistics 2, Q6 (15 marks): Korhan and Louise challenge each other to find an estimator for the mean, μ, of the continuous random variable X which has variance σ 2 X1, X2, X3, …, Xn are n
- November 2021, Further Statistics 1, Q3 (4 marks): A courier delivers parcels. The random variable X represents the number of parcels delivered successfully each day by the courier where X ~ B (400, 0.64) A rand
- November 2021, Further Statistics 2, Q5 (10 marks): The continuous random variable X is uniformly distributed over the interval [0, 4β ], where β is an unknown constant. Three independent observations, X1, X2 and
- November 2020, Further Statistics 1, Q7 (15 marks): A six-sided die has sides labelled 1, 2, 3, 4, 5 and 6 The random variable S represents the score when the die is rolled. Alicia rolls the die 45 times and the
- November 2020, Further Statistics 2, Q4 (7 marks): 4 A biased coin has a probability p of landing on heads, where 0 < p < 1 Simon spins the coin n times and the random variable X represents the number of heads.
- June 2019, Further Statistics 1, Q3 (6 marks): A biased spinner can land on the numbers 1, 2, 3, 4 or 5 with the following probabilities. Number on spinner 1 2 3 4 5 Probability 0.3 0.1 0.2 0.1 0.3 The spinn
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Edexcel A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.