Skip to content

Systematic listing and the product rule: AQA GCSE Maths questions

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

Find questions1,304
Exam
All years
Calculator

1,304 questions

  1. Q15

    June 2025 · Paper 3H

    The whole paper ↗
    June 2025 Paper 3H, question 15: Amy and Becky each make integers using three single digits. In any integer, digits may be repeated. • Amy makes even integers with a first digit greater than 7
  2. Q22

    June 2024 · Paper 3H

    The whole paper ↗
    June 2024 Paper 3H, question 22: Fatima is choosing a 4-digit code. Each digit is a whole number from 0 to 9 She decides all her digits will be odd numbers no digits will be repeated. How many
  3. Q29

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 29: A code is three letters, each of which is in the word LOGIC Vinny assumes that letters in the code may be used more than once. He works out how many possible co
  4. Q19

    June 2023 · Paper 1H

    The whole paper ↗
    June 2023 Paper 1H, question 19: Work out how many 5-digit odd numbers can be made using these digits once each. 2 4 6 7 9 Do not list them. Answer
  5. June 2022 Paper 3H, question 17: In a video game, players make their own character. They choose one of each from 8 faces 4 bodies 5 hairstyles. 17 (a) How many different characters can be made?
  6. November 2020 Paper 2H, question 16: On a restaurant menu there are 22 main dishes, of which 11 4 are gluten-free 7 rice dishes, which are all gluten-free 5 naan breads, of which 40% are gluten-fre
  7. Q16

    November 2019 · Paper 3H

    The whole paper ↗
    November 2019 Paper 3H, question 16: A building company employs 2 labourers 14 joiners 9 electricians 8 plumbers. For a job, the company needs one of each type of worker. 16 (a) In how many ways ca
  8. Q14

    June 2019 · Paper 2H

    The whole paper ↗
    June 2019 Paper 2H, question 14: Ali and Mel are making 3-digit codes. The digit 0 is not used. Ali only uses odd digits. Mel only uses even digits. 14 (a) Ali can make x more codes than Mel. A
  9. Q19

    November 2018 · Paper 2H

    The whole paper ↗
    November 2018 Paper 2H, question 19: There are four starters and ten main courses to choose from. Two of the starters and three of the main courses are suitable for vegans. What percentage of the p
  10. Q17

    June 2018 · Paper 3H

    The whole paper ↗
    June 2018 Paper 3H, question 17: Here are two methods to make a 4-digit code. Codes can have repeated digits. Which method gives the greater number of possible codes? You must show your working
  11. Q15

    November 2017 · Paper 1H

    The whole paper ↗
    November 2017 Paper 1H, question 15: There are 7 different sandwiches 5 different drinks and 3 different snacks. 15 (a) How many different Meal Deal combinations are there? Meal Deal Choose one san
  12. June 2017 Paper 2H, question 5: A code has 4 digits. Each digit is a number from 0 to 9 Digits may be repeated. The code starts 5 4 1 5 4 1 5 (a) Amy knows the last digit is odd but not 7 She
  13. Q15

    Specimen · Paper 2H

    The whole paper ↗
    Specimen Paper 2H, question 15: Ann picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5 How many different 4-digit numbers could she pick? Answer
All 13 questions on Systematic listing and the product rule, as a list
  1. June 2025, Paper 3H, Q15 (3 marks): Amy and Becky each make integers using three single digits. In any integer, digits may be repeated. • Amy makes even integers with a first digit greater than 7
  2. June 2024, Paper 3H, Q22 (2 marks): Fatima is choosing a 4-digit code. Each digit is a whole number from 0 to 9 She decides all her digits will be odd numbers no digits will be repeated. How many
  3. November 2023, Paper 2H, Q29 (2 marks): A code is three letters, each of which is in the word LOGIC Vinny assumes that letters in the code may be used more than once. He works out how many possible co
  4. June 2023, Paper 1H, Q19 (2 marks): Work out how many 5-digit odd numbers can be made using these digits once each. 2 4 6 7 9 Do not list them. Answer
  5. June 2022, Paper 3H, Q17 (3 marks): In a video game, players make their own character. They choose one of each from 8 faces 4 bodies 5 hairstyles. 17 (a) How many different characters can be made?
  6. November 2020, Paper 2H, Q16 (3 marks): On a restaurant menu there are 22 main dishes, of which 11 4 are gluten-free 7 rice dishes, which are all gluten-free 5 naan breads, of which 40% are gluten-fre
  7. November 2019, Paper 3H, Q16 (4 marks): A building company employs 2 labourers 14 joiners 9 electricians 8 plumbers. For a job, the company needs one of each type of worker. 16 (a) In how many ways ca
  8. June 2019, Paper 2H, Q14 (4 marks): Ali and Mel are making 3-digit codes. The digit 0 is not used. Ali only uses odd digits. Mel only uses even digits. 14 (a) Ali can make x more codes than Mel. A
  9. November 2018, Paper 2H, Q19 (3 marks): There are four starters and ten main courses to choose from. Two of the starters and three of the main courses are suitable for vegans. What percentage of the p
  10. June 2018, Paper 3H, Q17 (3 marks): Here are two methods to make a 4-digit code. Codes can have repeated digits. Which method gives the greater number of possible codes? You must show your working
  11. November 2017, Paper 1H, Q15 (4 marks): There are 7 different sandwiches 5 different drinks and 3 different snacks. 15 (a) How many different Meal Deal combinations are there? Meal Deal Choose one san
  12. June 2017, Paper 2H, Q5 (3 marks): A code has 4 digits. Each digit is a number from 0 to 9 Digits may be repeated. The code starts 5 4 1 5 4 1 5 (a) Amy knows the last digit is odd but not 7 She
  13. Specimen, Paper 2H, Q15 (3 marks): Ann picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5 How many different 4-digit numbers could she pick? Answer

Questions, mark schemes and examiner’s reports are © AQA, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every AQA GCSE Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.