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100+ Free GCSE Statistics Practice Questions

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A school has 600 pupils. The head wants a sample of 60 pupils that reflects the proportions of each year group. Which sampling method is most appropriate?

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2026 Statistics

Key Facts: GCSE Statistics Exam

9-1

Grading scale

Ofqual

May-June

Exam series

AQA, Edexcel timetable

2 boards

Specifications available

AQA, Edexcel

100

Free practice questions here

OpenExamPrep

AQA, Edexcel GCSE Statistics is assessed through linear end-of-course exam papers (Key Stage 4). Coverage spans data collection, data representation, summary measures, and grading uses the 9-1 scale on 2026 specifications.

Sample GCSE Statistics Practice Questions

Try these sample questions to test your GCSE Statistics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A school has 600 pupils. The head wants a sample of 60 pupils that reflects the proportions of each year group. Which sampling method is most appropriate?
A.Simple random sampling
B.Stratified sampling
C.Systematic sampling
D.Quota sampling
Explanation: Stratified sampling divides the population into strata (year groups) and samples from each in proportion to its size. This guarantees each year group is represented in the correct ratio in the sample of 60.
2A factory has 1200 workers: 800 men and 400 women. A stratified sample of 60 is taken. How many women should be in the sample?
A.15
B.20
C.24
D.30
Explanation: The proportion of women is 400/1200 = 1/3. So the number of women in a sample of 60 is 60 x 1/3 = 20.
3A researcher selects every 10th name from an alphabetical list of 500 customers, after randomly choosing a start between 1 and 10. Which sampling method is this?
A.Stratified sampling
B.Cluster sampling
C.Systematic sampling
D.Quota sampling
Explanation: Systematic sampling selects items at a fixed interval (every kth) from an ordered list, with a random starting point. Here k = 10 with a random start, giving a systematic sample of 50.
4Which of the following is an example of primary data?
A.Population figures from the Office for National Statistics website
B.Temperature readings you record yourself with a thermometer
C.Football results from a newspaper
D.Heights of pupils taken from school records
Explanation: Primary data is data you collect yourself for a specific purpose. Recording temperatures with your own thermometer is primary; the other options are data collected by someone else (secondary).
5An interviewer stands outside a gym at 7am and asks people about exercise habits. Which type of bias is most likely to affect the results?
A.Non-response bias
B.Selection bias
C.Question wording bias
D.Interviewer bias
Explanation: Selection bias occurs when the sampling method systematically excludes part of the population. People at a gym at 7am are far more likely to exercise than the general public, so the sample is unrepresentative.
6Which of the following is a leading question?
A.How many hours of TV do you watch per week?
B.Don't you agree that watching too much TV is bad for you?
C.On average, how many evenings per week do you watch TV?
D.Do you watch more TV at weekends than on weekdays?
Explanation: A leading question encourages a particular answer. 'Don't you agree that...' pushes the respondent toward agreement, which biases the data.
7A pilot survey is best described as:
A.The final full survey
B.A small trial run used to test the questionnaire before the main survey
C.A survey carried out only with pilots
D.A survey using secondary data only
Explanation: A pilot survey is a small-scale trial used to identify problems with the questionnaire (ambiguous wording, missing options, timing) before running the full study.
8A college has 1500 students: 600 in Year 12 and 900 in Year 13. A stratified sample of 100 is required. How many Year 13 students are in the sample?
A.40
B.50
C.60
D.75
Explanation: Year 13 is 900/1500 = 0.6 of the population. So 0.6 x 100 = 60 students from Year 13.
9Which of the following describes cluster sampling?
A.Choosing every kth item from a list
B.Selecting whole naturally occurring groups at random and surveying everyone in them
C.Splitting the population into strata and sampling proportionally
D.Filling fixed-size categories in the order people arrive
Explanation: Cluster sampling randomly selects entire groups (clusters), such as whole schools or branches, and then surveys all members of each chosen cluster. It is useful when the population is geographically dispersed.
10Which sampling method is non-random?
A.Simple random sampling
B.Stratified sampling
C.Systematic sampling
D.Quota sampling
Explanation: Quota sampling sets target counts for sub-groups (e.g. 20 men, 20 women) and lets interviewers choose individuals to fill those quotas. Because individuals are not chosen by chance, it is non-random.

About the GCSE Statistics Exam

GCSE Statistics is offered by AQA, Edexcel as part of the UK General Certificate of Secondary Education qualification framework. The course covers data collection, data representation, summary measures, probability and is assessed primarily through written exam papers at the end of the two-year course.

Questions

100 scored questions

Time Limit

3-5 hours total across multiple papers

Passing Score

Grade 4 is the standard pass, Grade 5 is the strong pass (1-9 scale)

Exam Fee

£40-£80 per subject (school-set entry fee) (AQA, Edexcel)

GCSE Statistics Exam Content Outline

Core

Data Collection

Sampling techniques (random, stratified, systematic), questionnaire design, sources of bias

Core

Data Representation

Bar charts, histograms, frequency polygons, pie charts, stem-and-leaf, box plots

Core

Summary Measures

Mean, median, mode, range, interquartile range, standard deviation, skewness

Core

Probability

Sample space, conditional probability, tree diagrams, Venn diagrams, expectation

Core

Correlation and Regression

Scatter diagrams, Spearman's rank, Pearson's correlation, least-squares regression line

Core

Time Series and Index Numbers

Moving averages, seasonal variation, retail price index, weighted indices

How to Pass the GCSE Statistics Exam

What You Need to Know

  • Passing score: Grade 4 is the standard pass, Grade 5 is the strong pass (1-9 scale)
  • Exam length: 100 questions
  • Time limit: 3-5 hours total across multiple papers
  • Exam fee: £40-£80 per subject (school-set entry fee)

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

GCSE Statistics Study Tips from Top Performers

1Use past papers from your specific exam board — questions follow the same style year on year
2Time yourself on full papers to build pacing for the long extended-response questions
3Build a clear understanding of mark schemes — examiners reward specific assessment objectives
4Review examiner reports each summer; common errors repeat

Frequently Asked Questions

What exam boards offer GCSE Statistics?

GCSE Statistics is offered by AQA, Edexcel. All boards follow Ofqual subject content but vary in the choice of set texts, optional topics, and paper structure.

When is the GCSE Statistics exam taken?

Exams are written in the May-June series at the end of the two-year Key Stage 4 course. Most students sit the papers in Year 11.

How is GCSE Statistics graded?

GCSEs are graded on the 9-1 scale, where 9 is the highest grade. A grade 4 is a standard pass, and grade 5 is a strong pass. Grade 7 is broadly equivalent to the old A grade.

How many papers does GCSE Statistics have?

Most GCSE subjects have 2-3 written papers. The exact number, timing, and weighting depend on the chosen exam board. Some subjects also include a non-examined assessment (NEA) coursework component.