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Hypothesis tests and chi-squared: Edexcel A‑Level Further Maths questions

Every Edexcel A-Level Further Maths exam question on FS.2 Hypothesis tests and chi-squared, 2018–2025, with its mark scheme and examiner’s report.

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824 questions

  1. Q3

    June 2025 · Further Statistics 1

    The whole paper ↗
    June 2025 Further Statistics 1, question 3: A journalist uses a gender equality test on some randomly chosen films. She believes that whether or not a film passes the test is associated with the period in
  2. Q7

    June 2025 · Further Statistics 1

    The whole paper ↗
    June 2025 Further Statistics 1, question 7: A software company develops computer programs. Its Lovelace program is found to glitch 7 times on average when it is run. The company makes some alterations to
  3. Q1

    June 2025 · AS Further Statistics 1

    The whole paper ↗
    June 2025 AS Further Statistics 1, question 1: A researcher is investigating the relationship between a person’s age and their preferred method of shopping. A random sample of 300 people is taken and the res
  4. Q4

    June 2025 · AS Further Statistics 1

    The whole paper ↗
    June 2025 AS Further Statistics 1, question 4: A 5‑question test is taken by 80 students. Each question was answered either correctly or incorrectly. Number of questions answered correctly 0 1 2 3 4 5 Observ
  5. Q2

    June 2024 · Further Statistics 1

    The whole paper ↗
    June 2024 Further Statistics 1, question 2: The number of errors made by a secretary is modelled by a Poisson distribution with a mean of 2.4 per 100 words. A 100‑word piece of work completed by the secre
  6. Q3

    June 2024 · Further Statistics 1

    The whole paper ↗
    June 2024 Further Statistics 1, question 3: Tisam took a survey of students’ favourite colours. The results are summarised in the table below. Colour Red Blue Green Yellow Black Total Year group 1–5 34 15
  7. Q5

    June 2024 · Further Statistics 1

    The whole paper ↗
    June 2024 Further Statistics 1, question 5: Some of the components produced by a factory are defective. The management requires that no more than 3% of the components produced are defective. Niluki monito
  8. Q1

    June 2024 · AS Further Statistics 1

    No published mark scheme
    The whole paper ↗
    June 2024 AS Further Statistics 1, question 1: Sharma believes that each computer game he sells appeals equally to all age ranges. To investigate this, he takes a random sample of 100 people who play these g
  9. Q4

    June 2024 · AS Further Statistics 1

    No published mark scheme
    The whole paper ↗
    June 2024 AS Further Statistics 1, question 4: Robin shoots 8 arrows at a target each day for 100 days. The number of times he hits the target each day is summarised in the table below. Number of hits 0 1 2
  10. Q2

    June 2023 · Further Statistics 1

    The whole paper ↗
    June 2023 Further Statistics 1, question 2: Telephone calls arrive at a call centre randomly, at an average rate of 1.7 per minute. After the call centre was closed for a week, in a random sample of 10 mi
  11. Q3

    June 2023 · Further Statistics 1

    The whole paper ↗
    June 2023 Further Statistics 1, question 3: In a class experiment, each day for 170 days, a child is chosen at random and spins a large cardboard coin 5 times and the number of heads is recorded. The resu
  12. Q2

    June 2023 · AS Further Statistics 1

    The whole paper ↗
    June 2023 AS Further Statistics 1, question 2: A bag contains a large number of balls, all of the same size and weight. The balls are coloured Red, Blue or Yellow. Jasmine asks each child in a group of 150 c
  13. Q4

    June 2023 · AS Further Statistics 1

    The whole paper ↗
    June 2023 AS Further Statistics 1, question 4: Table 1 below shows the number of car breakdowns in the Snoreap district in each of 60 months. Number of car breakdowns 0 1 2 3 4 5 12 11 19 14 3 1 Frequency Ta
  14. Q1

    June 2022 · Further Statistics 1

    The whole paper ↗
    June 2022 Further Statistics 1, question 1: A researcher is investigating the number of female cubs present in litters of size 4 He believes that the number of female cubs in a litter can be modelled by B
  15. Q1

    June 2022 · AS Further Statistics 1

    The whole paper ↗
    June 2022 AS Further Statistics 1, question 1: Stuart is investigating a treatment for a disease that affects fruit trees. He has 400 fruit trees and applies the treatment to a random sample of these trees.
  16. Q3

    June 2022 · AS Further Statistics 1

    The whole paper ↗
    June 2022 AS Further Statistics 1, question 3: In a game, a coin is spun 5 times and the number of heads obtained is recorded. Tao suggests playing the game 20 times and carrying out a chi‑squared test to in
  17. Q1

    November 2021 · Further Statistics 1

    The whole paper ↗
    November 2021 Further Statistics 1, question 1: Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 i
  18. Q5

    November 2020 · Further Statistics 1

    The whole paper ↗
    November 2020 Further Statistics 1, question 5: A factory produces pins. An engineer selects 40 independent random samples of 6 pins produced at the factory and records the number of defective pins in each sa
  19. Q2

    November 2020 · AS Further Statistics 1

    The whole paper ↗
    November 2020 AS Further Statistics 1, question 2: In an experiment, James flips a coin 3 times and records the number of heads. He carries out the experiment 100 times with his left hand and 100 times with his
  20. Q4

    June 2019 · Further Statistics 1

    The whole paper ↗
    June 2019 Further Statistics 1, question 4: Liam and Simone are studying the distribution of oak trees in some woodland. They divided the woodland into 80 equal squares and recorded the number of oak tree
All 25 questions on Hypothesis tests and chi-squared, as a list
  1. June 2025, Further Statistics 1, Q3 (12 marks): A journalist uses a gender equality test on some randomly chosen films. She believes that whether or not a film passes the test is associated with the period in
  2. June 2025, Further Statistics 1, Q7 (14 marks): A software company develops computer programs. Its Lovelace program is found to glitch 7 times on average when it is run. The company makes some alterations to
  3. June 2025, AS Further Statistics 1, Q1 (10 marks): A researcher is investigating the relationship between a person’s age and their preferred method of shopping. A random sample of 300 people is taken and the res
  4. June 2025, AS Further Statistics 1, Q4 (7 marks): A 5‑question test is taken by 80 students. Each question was answered either correctly or incorrectly. Number of questions answered correctly 0 1 2 3 4 5 Observ
  5. June 2024, Further Statistics 1, Q2 (7 marks): The number of errors made by a secretary is modelled by a Poisson distribution with a mean of 2.4 per 100 words. A 100‑word piece of work completed by the secre
  6. June 2024, Further Statistics 1, Q3 (6 marks): Tisam took a survey of students’ favourite colours. The results are summarised in the table below. Colour Red Blue Green Yellow Black Total Year group 1–5 34 15
  7. June 2024, Further Statistics 1, Q5 (10 marks): Some of the components produced by a factory are defective. The management requires that no more than 3% of the components produced are defective. Niluki monito
  8. June 2024, AS Further Statistics 1, Q1 (6 marks): Sharma believes that each computer game he sells appeals equally to all age ranges. To investigate this, he takes a random sample of 100 people who play these g
  9. June 2024, AS Further Statistics 1, Q4 (15 marks): Robin shoots 8 arrows at a target each day for 100 days. The number of times he hits the target each day is summarised in the table below. Number of hits 0 1 2
  10. June 2023, Further Statistics 1, Q2 (11 marks): Telephone calls arrive at a call centre randomly, at an average rate of 1.7 per minute. After the call centre was closed for a week, in a random sample of 10 mi
  11. June 2023, Further Statistics 1, Q3 (15 marks): In a class experiment, each day for 170 days, a child is chosen at random and spins a large cardboard coin 5 times and the number of heads is recorded. The resu
  12. June 2023, AS Further Statistics 1, Q2 (6 marks): A bag contains a large number of balls, all of the same size and weight. The balls are coloured Red, Blue or Yellow. Jasmine asks each child in a group of 150 c
  13. June 2023, AS Further Statistics 1, Q4 (12 marks): Table 1 below shows the number of car breakdowns in the Snoreap district in each of 60 months. Number of car breakdowns 0 1 2 3 4 5 12 11 19 14 3 1 Frequency Ta
  14. June 2022, Further Statistics 1, Q1 (9 marks): A researcher is investigating the number of female cubs present in litters of size 4 He believes that the number of female cubs in a litter can be modelled by B
  15. June 2022, AS Further Statistics 1, Q1 (7 marks): Stuart is investigating a treatment for a disease that affects fruit trees. He has 400 fruit trees and applies the treatment to a random sample of these trees.
  16. June 2022, AS Further Statistics 1, Q3 (9 marks): In a game, a coin is spun 5 times and the number of heads obtained is recorded. Tao suggests playing the game 20 times and carrying out a chi‑squared test to in
  17. November 2021, Further Statistics 1, Q1 (7 marks): Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 i
  18. November 2020, Further Statistics 1, Q5 (13 marks): A factory produces pins. An engineer selects 40 independent random samples of 6 pins produced at the factory and records the number of defective pins in each sa
  19. November 2020, AS Further Statistics 1, Q2 (15 marks): In an experiment, James flips a coin 3 times and records the number of heads. He carries out the experiment 100 times with his left hand and 100 times with his
  20. June 2019, Further Statistics 1, Q4 (19 marks): Liam and Simone are studying the distribution of oak trees in some woodland. They divided the woodland into 80 equal squares and recorded the number of oak tree
  21. June 2019, Further Statistics 1, Q5 (12 marks): Information was collected about accidents on the Seapron bypass. It was found that the number of accidents per month could be modelled by a Poisson distribution
  22. June 2019, AS Further Statistics 1, Q1 (6 marks): A leisure club offers a choice of one of three activities to its 150 members on a Tuesday evening. The manager believes that there may be an association between
  23. June 2019, AS Further Statistics 1, Q2 (7 marks): A spinner used for a game is designed to give scores with the following probabilities Score 1 2 3 4 6 Probability 3 10 1 10 1 10 2 5 1 10 The spinner is spun 80
  24. June 2018, AS Further Statistics 1, Q1 (10 marks): A researcher is investigating the distribution of orchids in a field. He believes that the Poisson distribution with a mean of 1.75 may be a good model for the
  25. June 2018, AS Further Statistics 1, Q4 (7 marks): Abram carried out a survey of two treatments for a plant fungus. The contingency table below shows the results of a survey of a random sample of 125 plants with

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