Sampling methods: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 1.1 Sampling methods, 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 18 questions on Sampling methods, as a list

June 2025, Paper 2, Q15 (10 marks): A personal trainer is investigating whether, in the general population, there is any association between resting pulse rate in beats per minute and mean hours p
June 2025, AS Paper 2, Q10 (5 marks): Two market researchers, Riley and Ryan, are commissioned by a supermarket to investigate the total amount spent by shoppers in a single transaction. Riley is in
June 2025, AS Paper 2, Q16 (9 marks): According to government statistics, 6.45% of people in Britain are vegetarian. A researcher believes the percentage of people who are vegetarian in the village
June 2024, Paper 2, Q9 (4 marks): A teacher is investigating how pupils travel to and from school each day. Pupils can either travel by bus, train, car, bicycle or walk. The teacher decides to c
June 2024, AS Paper 2, Q5 (3 marks): The pre-release material contains information for countries in the world concerning real GDP per capita in US$ and mobile phone subscribers per 100 population.
June 2023, Paper 2, Q8 (6 marks): A garden centre stocks coniferous hedging plants. These are displayed in 10 rows, each of 120 plants. An employee collects a sample of the heights of these plan
June 2023, Paper 2, Q9 (5 marks): The pre-release material contains information concerning the median income of taxpayers in different areas of London. Some of the data for Camden is shown in th
June 2023, AS Paper 2, Q12 (6 marks): Doctors are investigating the weights of adult males registered at their surgery. One week they collect a sample by noting the weight in kilograms of all the ad
June 2022, Paper 2, Q8 (3 marks): Ali conducted an investigation into the distances ridden by those members of a cycling club who rode at least 120 km in a training week. She grouped all the dis
June 2022, AS Paper 2, Q11 (9 marks): The pre-release material contains information about the Median Income of Taxpayers and the Percentage of Pupils Achieving at Least 5 A*– C grades, including Eng
November 2021, Paper 2, Q10 (9 marks): Ben has an interest in birdwatching. For many years he has identified, at the start of the year, 32 days on which he will spend an hour counting the number of b
November 2021, AS Paper 2, Q7 (7 marks): The pre-release material contains information about health expenditure. Fig. 7.1 shows an extract from the data. Health expenditure Country (% of GDP) Algeria 7
November 2021, AS Paper 2, Q9 (5 marks): Arun, Beth and Charlie are investigating whether there is any association between death rate per 1000 and physician density per 1000. They each collect a random
November 2021, AS Paper 2, Q11 (6 marks): James is investigating the amount of time retired people spend each day using social media. He collects a sample by advertising in a local newspaper for people
November 2020, Paper 2, Q8 (12 marks): Rosella is carrying out an investigation into the age at which adults retire from work in the city where she lives. She collects a sample of size 50, ensuring t
November 2020, Paper 2, Q9 (9 marks): A company supplies computers to businesses. In the past the company has found that computers are kept by businesses for a mean time of 5 years before being repl
November 2020, AS Paper 2, Q3 (8 marks): A researcher is conducting an investigation into the number of portions of fruit adults consume each day. The researcher decides to ask 50 men and 50 women to c
June 2018, Paper 2, Q14 (9 marks): The pre-release material includes data on unemployment rates in different countries. A sample from this material has been taken. All the countries in the sample

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