A Level Further Mathematics 9231, topic 4.3
χ²-tests: past paper questions
9 Cambridge A Level Further Mathematics 9231 questions on χ²-tests (4.3) from 9 papers, 2025 to 2026. Open the paper or try a question free.
Practising builds a set from this topic, free with an account. One question opens straight away, with no account.
- Questions
- 9
- Papers
- 9
- Years
- 2025 to 2026
- Total marks
- 71
- Average per question
- 7.9 marks
- Largest question
- 10 marks
By type: Structured 9
How hard the questions are
- Recall0
- Apply7
- Analyse2
- Not banded0
Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.
Command words
- findApply3 questions
- useApply3 questions
- determineApply2 questions
establish with certainty
- giveRecall2 questions
- suggestAnalyse2 questions
- show thatApply1 question
Where the questions come from
By year
- 20263
- 20256
By session
- May/June6
- Oct/Nov3
By paper
- Paper 49
Questions on this topic
Showing 6 of 9, spread across the years. Open one to write your answer and have it marked.
- Try this questionQuestion 2May/June 2026, paper 41Structured10 marks
Three different bus companies, , and , record the reliability of their service. Each bus journey is recorded as being on time, late or cancelled. A reliable bus service is considered to be one that is on time.
- Try this questionQuestion 2Oct/Nov 2025, paper 41Structured6 marks
The manager of a car park claims that the number of cars entering the car park follows a Poisson distribution with mean 2.8. The numbers of cars entering the car park are recorded on a working day during successive 5-minute periods.
- Try this questionQuestion 3Oct/Nov 2025, paper 42Structured8 marks
A traffic expert claims that the number of breakdowns occurring each day on a busy section of a motorway follows a Poisson distribution with mean 0.7. The number of breakdowns each day over a 200-day period was recorded.
- Try this questionQuestion 4May/June 2026, paper 43Structured9 marks
A random sample of 200 observations of the continuous random variable was taken. The values are summarised in the following table.
- Try this questionQuestion 3May/June 2025, paper 41Structured8 marks
Eggs in a supermarket are sold in boxes of six. A supermarket manager wishes to model the number of broken eggs in the boxes sold in the store. A random sample of 2000 boxes is taken and the number of broken eggs recorded.
- Try this questionQuestion 1May/June 2025, paper 43Structured6 marks
A person’s eye colour may be categorised as “brown”, “blue” or “other”. A scientist claims that these eye colours are uniformly distributed and hence are equally likely to occur in the population.