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Sample spaces: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on P7 Sample spaces, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q1

    June 2025 · Paper 6

    The whole paper ↗
    June 2025 Paper 6, question 1: A fair four-sided dice is numbered 3, 4, 5 and 6. The dice is rolled twice and the two scores are multiplied together. (a) Complete the table to show all the po
  2. Q17

    November 2024 · Paper 4

    The whole paper ↗
    November 2024 Paper 4, question 17: An app’s passcode consists of three digits. Each of the digits is a number from 0 to 9. A digit can be used more than once. Find the fraction of the possible pa
  3. Q1

    November 2024 · Paper 6

    The whole paper ↗
    November 2024 Paper 6, question 1: Sasha has these two sets of number cards. 1 2 3 4 8 9 10 Set A: Set B: One card is taken at random from each set. Sasha adds the numbers on the two cards to get
  4. Q2

    June 2024 · Paper 5

    The whole paper ↗
    June 2024 Paper 5, question 2: Kai has these four number cards. 0 2 5 9 Kai takes two of the cards at random without replacement and finds the positive difference between the two numbers. (a)
  5. Q2

    November 2023 · Paper 6

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    November 2023 Paper 6, question 2: A restaurant menu has 4 main courses and 3 side dishes. For their meal, each customer chooses 1 main course and 1 side dish. Main course Side dish Beef burger £
  6. Q3

    November 2022 · Paper 5

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    November 2022 Paper 5, question 3: Azmi has a fair spinner numbered 2, 5 and 8. 5 2 8 Azmi spins the spinner twice and adds the two scores to get a total. (a) Complete the table to show all of th
  7. Q1

    June 2022 · Paper 6

    The whole paper ↗
    June 2022 Paper 6, question 1: A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4. They add the two scores together. (a) Complete the sample space diagram to show the possib
  8. Q4

    November 2021 · Paper 4

    The whole paper ↗
    November 2021 Paper 4, question 4: Li throws two fair four-sided dice, each numbered 1, 2, 3 and 4. Li multiplies together the two numbers that the dice land on to produce a score. Find the proba
  9. Q4

    November 2020 · Paper 5

    The whole paper ↗
    November 2020 Paper 5, question 4: Dora has the following number cards. 2 2 3 5 6 She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two cards
  10. Q12

    November 2020 · Paper 6

    The whole paper ↗
    November 2020 Paper 6, question 12: Students are asked to choose one subject from Option A and one subject from Option B. Option A Option B Economics Art Geography Drama History Engineering Media
  11. Q6

    November 2019 · Paper 6

    The whole paper ↗
    November 2019 Paper 6, question 6: The table shows the children nominated to win the subject prize in Mathematics and the subject prize in English. Mathematics English Alice Alice Ben Claire Emma
  12. Q12

    June 2019 · Paper 6

    The whole paper ↗
    June 2019 Paper 6, question 12: Antonio rolls two fair six-sided dice and calculates the difference between the scores. For example, if the two scores are 2 and 5 or 5 and 2 then the differenc
  13. Q3

    November 2018 · Paper 5

    The whole paper ↗
    November 2018 Paper 5, question 3: Geoff has two fair spinners. 1 7 2 3 9 5 4 Spinner A Spinner B He spins both spinners and multiplies the numbers on each spinner. (a) Complete the table. Spinne
  14. Q8

    June 2018 · Paper 5

    The whole paper ↗
    June 2018 Paper 5, question 8: Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice. (a) Give a reason why a tree diagram is not the best method to use. (b) (i
  15. Q7

    June 2018 · Paper 6

    The whole paper ↗
    June 2018 Paper 6, question 7: Edsel has four number cards. 3 9 12 8 Sharon has three number cards. u represents a number that Sharon knows. 11 6 u Edsel and Sharon each pick one of their car
  16. Q8

    November 2017 · Paper 4

    The whole paper ↗
    November 2017 Paper 4, question 8: Diners choose one starter and one main from the options given in the table below. Vegetarian dishes are indicated with a (v). Starter Main Cheese salad (v) Stea
  17. Q6

    June 2017 · Paper 6

    The whole paper ↗
    June 2017 Paper 6, question 6: (a) This is a fair 5-sided spinner. 1 2 2 4 3 Ciara spins the spinner twice and records the product of the two scores. (i) Complete the table. First spin x 1 2
All 17 questions on Sample spaces, as a list
  1. June 2025, Paper 6, Q1 (3 marks): A fair four-sided dice is numbered 3, 4, 5 and 6. The dice is rolled twice and the two scores are multiplied together. (a) Complete the table to show all the po
  2. November 2024, Paper 4, Q17 (4 marks): An app’s passcode consists of three digits. Each of the digits is a number from 0 to 9. A digit can be used more than once. Find the fraction of the possible pa
  3. November 2024, Paper 6, Q1 (4 marks): Sasha has these two sets of number cards. 1 2 3 4 8 9 10 Set A: Set B: One card is taken at random from each set. Sasha adds the numbers on the two cards to get
  4. June 2024, Paper 5, Q2 (4 marks): Kai has these four number cards. 0 2 5 9 Kai takes two of the cards at random without replacement and finds the positive difference between the two numbers. (a)
  5. November 2023, Paper 6, Q2 (4 marks): A restaurant menu has 4 main courses and 3 side dishes. For their meal, each customer chooses 1 main course and 1 side dish. Main course Side dish Beef burger £
  6. November 2022, Paper 5, Q3 (3 marks): Azmi has a fair spinner numbered 2, 5 and 8. 5 2 8 Azmi spins the spinner twice and adds the two scores to get a total. (a) Complete the table to show all of th
  7. June 2022, Paper 6, Q1 (4 marks): A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4. They add the two scores together. (a) Complete the sample space diagram to show the possib
  8. November 2021, Paper 4, Q4 (4 marks): Li throws two fair four-sided dice, each numbered 1, 2, 3 and 4. Li multiplies together the two numbers that the dice land on to produce a score. Find the proba
  9. November 2020, Paper 5, Q4 (5 marks): Dora has the following number cards. 2 2 3 5 6 She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two cards
  10. November 2020, Paper 6, Q12 (3 marks): Students are asked to choose one subject from Option A and one subject from Option B. Option A Option B Economics Art Geography Drama History Engineering Media
  11. November 2019, Paper 6, Q6 (4 marks): The table shows the children nominated to win the subject prize in Mathematics and the subject prize in English. Mathematics English Alice Alice Ben Claire Emma
  12. June 2019, Paper 6, Q12 (6 marks): Antonio rolls two fair six-sided dice and calculates the difference between the scores. For example, if the two scores are 2 and 5 or 5 and 2 then the differenc
  13. November 2018, Paper 5, Q3 (3 marks): Geoff has two fair spinners. 1 7 2 3 9 5 4 Spinner A Spinner B He spins both spinners and multiplies the numbers on each spinner. (a) Complete the table. Spinne
  14. June 2018, Paper 5, Q8 (5 marks): Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice. (a) Give a reason why a tree diagram is not the best method to use. (b) (i
  15. June 2018, Paper 6, Q7 (4 marks): Edsel has four number cards. 3 9 12 8 Sharon has three number cards. u represents a number that Sharon knows. 11 6 u Edsel and Sharon each pick one of their car
  16. November 2017, Paper 4, Q8 (5 marks): Diners choose one starter and one main from the options given in the table below. Vegetarian dishes are indicated with a (v). Starter Main Cheese salad (v) Stea
  17. June 2017, Paper 6, Q6 (7 marks): (a) This is a fair 5-sided spinner. 1 2 2 4 3 Ciara spins the spinner twice and records the product of the two scores. (i) Complete the table. First spin x 1 2

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