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Relative frequency: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on P3 Relative frequency, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q7

    November 2024 · Paper 2H

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    November 2024 Paper 2H, question 7: Beth and Lynn each spin the same biased coin a number of times. The table shows information about the results. Beth Lynn Number of spins 125 80 Relative frequen
  2. Q7

    June 2024 · Paper 2H

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    June 2024 Paper 2H, question 7: Archie flips a biased coin 200 times. Here is some information about the outcomes after each 50 flips. Total number of flips 50 100 150 200 Number of heads 10 2
  3. Q16

    June 2024 · Paper 3H

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    June 2024 Paper 3H, question 16: Jing rolls a fair six-sided dice 72 times. 1 2 3 4 5 6 Frequency 16 11 10 8 14 13 Is the relative frequency of rolling a 5 greater than the theoretical probabil
  4. Q15

    November 2023 · Paper 2H

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    November 2023 Paper 2H, question 15: A bag contains discs. The trial is carried out 100 times. The table shows the relative frequency of a blue disc after every 25 trials. Total number of trials 25
  5. Q12

    June 2023 · Paper 3H

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    June 2023 Paper 3H, question 12: Here is a biased spinner. 12 (a) Ali, Ben and Cary want to know the probability of spinning red on the biased spinner. They each spin it and count how many time
  6. Q10

    November 2022 · Paper 3H

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    November 2022 Paper 3H, question 10: Here are the results after 250 spins of a coin. Heads 128 Tails 122 The coin is spun an extra 50 times. After all 300 spins, the relative frequency of Heads is
  7. Q9

    June 2022 · Paper 2H

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    June 2022 Paper 2H, question 9: Rosie makes phone calls to try to sell broadband. Today, she made 120 calls. The table shows the results. Result of call Frequency Not answered 33 Answered but
  8. Q11

    November 2021 · Paper 2H

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    November 2021 Paper 2H, question 11: 250 trains arrived at a station. The number of trains that were late was recorded after every 50 trains. The table shows some information about the results. Tot
  9. Q11

    November 2020 · Paper 3H

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    November 2020 Paper 3H, question 11: A spinner can land on red, blue or green. After 350 spins relative frequency of red = 0.18 relative frequency of blue = 0.62 Work out the number of times the sp
  10. Q1

    November 2019 · Paper 3H

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    November 2019 Paper 3H, question 1: Circle the relative frequency that represents 13 successes out of 50 trials. 0.13 26 13 : 50 0.26
  11. Q12

    June 2019 · Paper 2H

    The whole paper ↗
    June 2019 Paper 2H, question 12: A biased coin is thrown 250 times. The relative frequency of Heads is worked out after every 50 throws. Circle the best estimate of the probability of Heads. To
  12. Q17

    June 2019 · Paper 3H

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    June 2019 Paper 3H, question 17: A factory makes kettles. Four samples of kettles are tested for faults. Each sample has size 200 Here are the relative frequencies of faulty kettles in the samp
  13. Q8

    June 2018 · Paper 1H

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    June 2018 Paper 1H, question 8: A coin is thrown 50 times. It lands on heads 31 times. 8 (a) Write down the relative frequency it lands on heads. Answer 8 (b) Raj says, “The coin is biased tow
  14. Q7

    June 2018 · Paper 2H

    The whole paper ↗
    June 2018 Paper 2H, question 7: On three days, Ali throws darts at a target. Here are his results. Number of throws Number of hits Number of misses Monday 20 15 5 Tuesday 30 22 8 Wednesday 40
  15. Q5

    June 2017 · Paper 3H

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    June 2017 Paper 3H, question 5: A coin lands on Tails 200 times. The relative frequency of Tails is 0.4 Work out the number of times the coin was thrown. Answer
  16. Q7

    Specimen · Paper 2H

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    Specimen Paper 2H, question 7: A coin is rolled onto a grid of squares. It lands randomly on the grid. To win, the coin must land completely within one of the squares. Meera and John each rol
All 16 questions on Relative frequency, as a list
  1. November 2024, Paper 2H, Q7 (3 marks): Beth and Lynn each spin the same biased coin a number of times. The table shows information about the results. Beth Lynn Number of spins 125 80 Relative frequen
  2. June 2024, Paper 2H, Q7 (2 marks): Archie flips a biased coin 200 times. Here is some information about the outcomes after each 50 flips. Total number of flips 50 100 150 200 Number of heads 10 2
  3. June 2024, Paper 3H, Q16 (3 marks): Jing rolls a fair six-sided dice 72 times. 1 2 3 4 5 6 Frequency 16 11 10 8 14 13 Is the relative frequency of rolling a 5 greater than the theoretical probabil
  4. November 2023, Paper 2H, Q15 (3 marks): A bag contains discs. The trial is carried out 100 times. The table shows the relative frequency of a blue disc after every 25 trials. Total number of trials 25
  5. June 2023, Paper 3H, Q12 (4 marks): Here is a biased spinner. 12 (a) Ali, Ben and Cary want to know the probability of spinning red on the biased spinner. They each spin it and count how many time
  6. November 2022, Paper 3H, Q10 (3 marks): Here are the results after 250 spins of a coin. Heads 128 Tails 122 The coin is spun an extra 50 times. After all 300 spins, the relative frequency of Heads is
  7. June 2022, Paper 2H, Q9 (3 marks): Rosie makes phone calls to try to sell broadband. Today, she made 120 calls. The table shows the results. Result of call Frequency Not answered 33 Answered but
  8. November 2021, Paper 2H, Q11 (4 marks): 250 trains arrived at a station. The number of trains that were late was recorded after every 50 trains. The table shows some information about the results. Tot
  9. November 2020, Paper 3H, Q11 (3 marks): A spinner can land on red, blue or green. After 350 spins relative frequency of red = 0.18 relative frequency of blue = 0.62 Work out the number of times the sp
  10. November 2019, Paper 3H, Q1 (1 mark): Circle the relative frequency that represents 13 successes out of 50 trials. 0.13 26 13 : 50 0.26
  11. June 2019, Paper 2H, Q12 (1 mark): A biased coin is thrown 250 times. The relative frequency of Heads is worked out after every 50 throws. Circle the best estimate of the probability of Heads. To
  12. June 2019, Paper 3H, Q17 (3 marks): A factory makes kettles. Four samples of kettles are tested for faults. Each sample has size 200 Here are the relative frequencies of faulty kettles in the samp
  13. June 2018, Paper 1H, Q8 (2 marks): A coin is thrown 50 times. It lands on heads 31 times. 8 (a) Write down the relative frequency it lands on heads. Answer 8 (b) Raj says, “The coin is biased tow
  14. June 2018, Paper 2H, Q7 (3 marks): On three days, Ali throws darts at a target. Here are his results. Number of throws Number of hits Number of misses Monday 20 15 5 Tuesday 30 22 8 Wednesday 40
  15. June 2017, Paper 3H, Q5 (2 marks): A coin lands on Tails 200 times. The relative frequency of Tails is 0.4 Work out the number of times the coin was thrown. Answer
  16. Specimen, Paper 2H, Q7 (3 marks): A coin is rolled onto a grid of squares. It lands randomly on the grid. To win, the coin must land completely within one of the squares. Meera and John each rol

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