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Systematic listing and the product rule: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on N5 Systematic listing and the product rule, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q18

    June 2025 · Paper 6

    4 marksN5 Systematic listing and the product rule
    The whole paper ↗
    June 2025 Paper 6, question 18: Sasha creates a four-digit passcode. They use four digits from 0 to 9. They do not use any digit more than once. Work out how many of the possible four-digit pa

  2. Q17

    November 2024 · Paper 4

    4 marksP7 Sample spacesN5 Systematic listing and the product rule
    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. Q14

    June 2023 · Paper 4

    5 marksN5 Systematic listing and the product rule
    The whole paper ↗
    June 2023 Paper 4, question 14: A college offers 41 different subjects including 9 different languages. Students are asked to choose one subject from Option A, one subject from Option B and on

  4. Q20

    November 2022 · Paper 4

    3 marksN5 Systematic listing and the product rule
    The whole paper ↗
    November 2022 Paper 4, question 20: Mrs Sweet has 8 different milk chocolates and 9 different plain chocolates. Her daughter chooses one of the milk chocolates. Her son then chooses one of the pla

  5. Q13

    June 2022 · Paper 4

    4 marksN5 Systematic listing and the product rule
    The whole paper ↗
    June 2022 Paper 4, question 13: Here is a restaurant’s menu. Starter Main Dessert Prawn Cocktail Hunter’s Chicken Trifle Duck Spring Rolls Beef Curry Ice Cream Lamb Meatballs Steak Cheesecake

  6. Q13

    June 2022 · Paper 6

    4 marksN5 Systematic listing and the product rule
    The whole paper ↗
    June 2022 Paper 6, question 13: A car registration plate has two letters, a number from 10–99 and three letters. For example: AB56 CDE The letters I and O are not used, leaving 24 possible let

  7. Q12

    November 2020 · Paper 6

    3 marksP7 Sample spacesN5 Systematic listing and the product rule
    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

  8. Q13

    November 2019 · Paper 4

    6 marksG19 Similar shapesN5 Systematic listing and the product rule
    The whole paper ↗
    November 2019 Paper 4, question 13: (a) A transport lorry consists of a cab and a trailer. The trailer has a volume of 90 m3. Alfie makes a model of this lorry using a scale of 1 : 72. Work out th

  9. Q13

    June 2018 · Paper 4

    5 marksN5 Systematic listing and the product rule
    The whole paper ↗
    June 2018 Paper 4, question 13: A menu has • 6 starters • 10 main dishes • 7 desserts. (a) A three-course meal consists of a starter, a main dish and a dessert. How many different three-course

  10. Q8

    November 2017 · Paper 4

    5 marksN5 Systematic listing and the product ruleP7 Sample spaces
    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

  11. Q14

    June 2017 · Paper 5

    4 marksN5 Systematic listing and the product rule
    The whole paper ↗
    June 2017 Paper 5, question 14: John has • 8 different shirts • 6 different hats • 4 different scarves. (a) On Monday, he picks a shirt, a hat and a scarf. Show that there are 192 different co
All 11 questions on Systematic listing and the product rule, as a list
  1. June 2025, Paper 6, Q18 (4 marks): Sasha creates a four-digit passcode. They use four digits from 0 to 9. They do not use any digit more than once. Work out how many of the possible four-digit pa
  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. June 2023, Paper 4, Q14 (5 marks): A college offers 41 different subjects including 9 different languages. Students are asked to choose one subject from Option A, one subject from Option B and on
  4. November 2022, Paper 4, Q20 (3 marks): Mrs Sweet has 8 different milk chocolates and 9 different plain chocolates. Her daughter chooses one of the milk chocolates. Her son then chooses one of the pla
  5. June 2022, Paper 4, Q13 (4 marks): Here is a restaurant’s menu. Starter Main Dessert Prawn Cocktail Hunter’s Chicken Trifle Duck Spring Rolls Beef Curry Ice Cream Lamb Meatballs Steak Cheesecake
  6. June 2022, Paper 6, Q13 (4 marks): A car registration plate has two letters, a number from 10–99 and three letters. For example: AB56 CDE The letters I and O are not used, leaving 24 possible let
  7. 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
  8. November 2019, Paper 4, Q13 (6 marks): (a) A transport lorry consists of a cab and a trailer. The trailer has a volume of 90 m3. Alfie makes a model of this lorry using a scale of 1 : 72. Work out th
  9. June 2018, Paper 4, Q13 (5 marks): A menu has • 6 starters • 10 main dishes • 7 desserts. (a) A three-course meal consists of a starter, a main dish and a dessert. How many different three-course
  10. 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
  11. June 2017, Paper 5, Q14 (4 marks): John has • 8 different shirts • 6 different hats • 4 different scarves. (a) On Monday, he picks a shirt, a hat and a scarf. Show that there are 192 different co

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