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100+ Free A-Level Statistics Practice Questions

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A t-test with sample size n = 12 uses how many degrees of freedom?

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2026 Statistics

Key Facts: A-Level Statistics Exam

9ST0

Edexcel specification code

Pearson Edexcel

3 papers

Each 2 hours, 80 marks (240 marks total)

Edexcel 9ST0 specification

A*-E

Grading scale

Ofqual

May-June

Exam series

Edexcel A-Level timetable

100

Free practice questions here

OpenExamPrep

Edexcel A-Level Statistics (9ST0) is the only standalone A-Level Statistics specification in the UK. Assessed by three 2-hour written papers — Data and Probability, Statistical Inference, and Statistics in Practice — totalling 240 marks on the A*-E grading scale for 2026.

Sample A-Level Statistics Practice Questions

Try these sample questions to test your A-Level 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 surveys every student about lunch options. What type of investigation is this?
A.Census
B.Stratified sample
C.Cluster sample
D.Quota sample
Explanation: A census collects data from every member of the population. Surveying every student in the school means no sampling occurs — the entire population is included.
2A researcher wants a sample of 60 students from a sixth form of 600, split 360 male and 240 female. Using stratified sampling, how many females should be selected?
A.24
B.30
C.36
D.20
Explanation: Stratified sampling keeps the same proportion as the population. Female proportion = 240/600 = 0.4, so the sample contains 0.4 x 60 = 24 females.
3Which sampling method selects every k-th member of a list after a random start?
A.Systematic sampling
B.Simple random sampling
C.Cluster sampling
D.Quota sampling
Explanation: Systematic sampling orders the sampling frame and picks every k-th unit after a random start between 1 and k. It is easy to apply but can be biased if the list has a hidden periodicity matching k.
4Which of these is the main disadvantage of opportunity (convenience) sampling?
A.It is highly likely to be unrepresentative of the population
B.It is very expensive
C.It always requires a sampling frame
D.Sample size is fixed at 30
Explanation: Opportunity sampling selects whoever is easiest to reach, so the sample tends to share characteristics of the location/time of collection and rarely reflects the population. It is cheap and quick but biased.
5Snowball sampling is most appropriate when:
A.The population is hidden or hard to access
B.A complete sampling frame exists
C.Cost is no concern
D.The population is small and well listed
Explanation: Snowball sampling asks initial contacts to recruit further participants from their network. It is used for hidden populations (e.g. drug users, rare professions) where no sampling frame exists.
6A sampling frame is best described as:
A.A list of every member of the target population
B.The method used to draw the sample
C.The set of values actually observed
D.The proportion of the population in the sample
Explanation: A sampling frame is the operational list from which the sample is drawn — for example an electoral roll or a class register. Random and systematic methods require one; opportunity and snowball methods do not.
7Data collected by the researcher specifically for the investigation are called:
A.Primary data
B.Secondary data
C.Tertiary data
D.Reference data
Explanation: Primary data are collected first-hand by the investigator for the particular study. Secondary data come from existing sources such as government statistics or previous studies.
8Which of the following question wordings is most likely to introduce response bias?
A.Do you agree that this unfair tax should be abolished?
B.Did you pay tax last year? Yes/No
C.How many hours do you work each week?
D.Which of these brands have you bought in the last month?
Explanation: The phrase 'this unfair tax' is leading — it pushes respondents toward agreement. Good questionnaire design uses neutral wording, mutually exclusive options and avoids loaded language.
9An interviewer is told to interview 20 men and 20 women aged 18-30 in a shopping centre. This is an example of:
A.Quota sampling
B.Stratified sampling
C.Systematic sampling
D.Simple random sampling
Explanation: Quota sampling fills pre-set quotas of demographic categories using non-random selection. Stratified sampling looks similar but uses random selection within each stratum from a complete frame.
10A telephone poll uses landline numbers only. Which type of bias is most likely?
A.Selection bias (younger people excluded)
B.Non-response bias only
C.Interviewer bias
D.Measurement bias
Explanation: Younger adults rarely have landlines, so the sampling frame systematically excludes them. This is selection (or coverage) bias — the frame does not match the target population.

About the A-Level Statistics Exam

A-Level Statistics is offered by Edexcel (Pearson) as the only current standalone A-Level Statistics qualification (specification 9ST0). The course covers the statistical enquiry cycle — data collection, summary and presentation, probability, distributions, hypothesis testing, regression and time series — across three written papers at the end of the two-year course.

Questions

100 scored questions

Time Limit

6 hours total (2 hours per paper)

Passing Score

Grade E is the minimum pass, Grades A*-E count as a pass (A*-A-B-C-D-E)

Exam Fee

£75-£130 per subject (school-set entry fee) (Edexcel (Pearson))

A-Level Statistics Exam Content Outline

15%

Data Collection and Sampling

Census vs sample; simple random, stratified, systematic, cluster, quota, opportunity and snowball sampling; sampling frames; sources of bias; primary vs secondary data; questionnaire design

15%

Numerical and Graphical Summaries

Mean, median and mode; quartiles, IQR and percentiles; variance and standard deviation including grouped data; coding; outliers (1.5xIQR and 2 SD); skewness; histograms with frequency density; box plots; stem-and-leaf; cumulative frequency; scatter graphs

15%

Probability

Set notation (union, intersection, complement); mutually exclusive vs independent events; conditional probability and Bayes' theorem; tree diagrams; Venn diagrams; two-way tables; addition and multiplication laws

20%

Probability Distributions

Discrete uniform; binomial (np, np(1-p)); Poisson (mean = variance = lambda, additive property); geometric (first success); normal distribution and standardisation; normal approximations to binomial and Poisson with continuity correction

20%

Hypothesis Testing

Null and alternative hypotheses; one- vs two-tailed; p-value vs critical region; Type I/II errors; binomial test; Poisson test; z-test and t-test for mean; chi-squared goodness of fit and contingency tables; Spearman rank and Pearson PMCC significance tests

15%

Bivariate Data, Regression and Time Series

Pearson PMCC interpretation; least-squares regression line of y on x; residuals; correlation vs causation; moving averages, seasonal variation and trend in time series; Laspeyres and Paasche index numbers

How to Pass the A-Level Statistics Exam

What You Need to Know

  • Passing score: Grade E is the minimum pass, Grades A*-E count as a pass (A*-A-B-C-D-E)
  • Exam length: 100 questions
  • Time limit: 6 hours total (2 hours per paper)
  • Exam fee: £75-£130 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

A-Level Statistics Study Tips from Top Performers

1Practise full past papers from the Edexcel 9ST0 series — question style is consistent year on year
2Memorise the conditions for each distribution (binomial trials, Poisson rate, normal approximation thresholds) — examiners reward stating them explicitly
3Always write hypotheses in symbols (H0: p = ..., H1: p > ...) with the parameter clearly defined; mark schemes require it
4For chi-squared and t-tests, show degrees of freedom and the critical value/p-value comparison line — both are explicitly credited
5Use a calculator's statistical functions (mean, SD, regression, normal CDF) confidently — the spec assumes a modern graphical or scientific calculator

Frequently Asked Questions

What exam boards offer A-Level Statistics?

Edexcel (Pearson) is the only current UK exam board offering a standalone A-Level Statistics qualification (specification 9ST0). AQA, OCR and WJEC have withdrawn their standalone Statistics A-Levels, although statistics content still appears within A-Level Mathematics and Further Mathematics.

How is Edexcel A-Level Statistics assessed?

Three 2-hour written papers, each worth 80 marks: Paper 1 Data and Probability (9ST0/01), Paper 2 Statistical Inference (9ST0/02), and Paper 3 Statistics in Practice (9ST0/03). Calculators are permitted in all papers and statistical tables/formulae are provided.

When is A-Level Statistics taken?

Exams are sat in the May-June series at the end of the two-year linear A-Level course in Year 13. There is no coursework or non-examined assessment.

How is A-Level Statistics graded?

A-Levels are graded A*-E. A* is the highest grade and E is the minimum pass. UCAS tariff points are awarded for A-Level grades on most university applications, with Statistics A-Level commonly accepted for psychology, economics, geography and many social-science degrees.