How many Sampling practice questions are there?

There are 43 self-marking GCSE Maths questions on Sampling, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Sampling?

No. You can start practising Sampling straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Sampling and populations

Sampling

Q: What are the common mistakes in Sampling?

Shared sample equally not proportionally States a raw count from a sample instead of scaling that proportion up to the full population Draws conclusions about the whole population directly from the sample without accounting for sampling

43 self-marking GCSE practice questions on Sampling, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.

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Sample Sampling questions

A few of the 43 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 2-3
A TV company wants to find out how many hours per week UK teenagers spend watching television. They decide to survey teenagers at a shopping centre on a Saturday afternoon. Explain why this sampling method is biased.
Show the worked solution
Surveying only teenagers at a shopping centre on a Saturday afternoon creates bias because:
• Teenagers at shopping centres during daytime may differ from those elsewhere (location bias).
• Saturday shoppers may have more leisure time and watch more TV than weekday teenagers.
• Teenagers who don't shop may not be included at all. M1
This is a biased sample because the sampling frame does not represent the full UK teenage population. A1
Question 24 marksGrade 4-5
A journalist is going to do a survey to find out whether people aged 15 or under spend more time playing computer games than people aged over 15. The journalist's sample will be the first 20 people leaving a particular shop after 9am next Monday. a) Give one reason why the journalist's sample is unlikely to give reliable information. b) Make three suggestions to help the journalist obtain a sample that may give more reliable information.

What are the common mistakes in Sampling?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Shared sample equally not proportionally
Assumes the night shift must also contribute the same sample count as the day shift (27), ignoring that the groups have different population sizes (180 vs 120), instead of applying the same sampling fraction to get 27/180 × 120 = 18.
States a raw count from a sample instead of scaling that proportion up to the full population
States the raw count of 12 people from the sample who chose the blue case, forgetting to scale this proportion up to the population of 1350, instead of correctly calculating 12/45 × 1350 = 360.
Draws conclusions about the whole population directly from the sample without accounting for sampling
Confused the sample size with the population. The population has 2645 items, not 84. Use the proportion from the sample to estimate the population total.

Quick answers about Sampling

How many Sampling practice questions are there?: There are 43 self-marking GCSE Maths questions on Sampling, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Sampling?: No. You can start practising Sampling straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.