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.
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All 13 questions on Systematic listing and the product rule, as a list
- 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
- 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
- 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
- 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
- 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?
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
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