plumiPrimes, factors and multiples: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on N4 Primes, factors and multiples, 2017–2025, with its mark scheme and examiner’s report.
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All 25 questions on Primes, factors and multiples, as a list
- June 2025, Paper 5, Q6 (6 marks): Sara and Tom both make a sequence of numbers. The first term in both sequences is 10. The term-to-term rule for Sara’s sequence is add 14. The term-to-term rule
- June 2025, Paper 6, Q14 (3 marks): 16 807 = 7 Write 16 807 000 000 as a product of its prime factors.
- November 2024, Paper 4, Q3 (4 marks): (a) N is a number such that: • N 3 5 k , where k is a prime number = # # • N is greater than 400. Find the smallest possible value of N. (a) N = (b) a and b are
- November 2024, Paper 6, Q8 (5 marks): (a) 198 and 495 are written below as the product of their prime factors. 2 # 2 198 2 3 11 495 3 5 11 = # # = # Work out the highest common factor (HCF) of 198 a
- June 2024, Paper 6, Q6 (4 marks): (a) Two numbers, A and B, are written as the product of their prime factors. 2 A 2 3 7 = # # 3 # B 2 7 = Find the lowest common multiple (LCM) of A and B. Give
- November 2023, Paper 4, Q2 (3 marks): A prime number is a whole number that has exactly two factors. (a) Explain why 1 is not a prime number. (b) a and b are prime numbers. 2 . Write down the 6 fact
- November 2023, Paper 4, Q11 (5 marks): Riley and Sam are conducting surveys. They are both given the same list of 12 463 people from which to select their sample. Riley selects every 56th person. Sam
- November 2023, Paper 5, Q1 (2 marks): Write 60 as a product of its prime factors.
- June 2023, Paper 6, Q10 (5 marks): (a) Show that 95 is not a prime number. (b) (i) 2000 and 8750 are written below as the product of their prime factors. 4 3 2000 2 5 = # 4 8750 2 5 7 = # # Find
- November 2022, Paper 4, Q2 (4 marks): In 2019, comet A and comet B were both seen from Earth. Comet A is seen from Earth every 84 years. Comet B is seen from Earth every 105 years. Find the next yea
- November 2022, Paper 6, Q10 (3 marks): The highest common factor (HCF) of two numbers is 14. The lowest common multiple (LCM) of the same two numbers is 210. The two numbers are not 14 and 210. Find
- June 2022, Paper 6, Q17 (5 marks): Blake is asked to write 15 552 000 000 as a product of prime factors in index form. Blake writes 7 6 5 15552000000 2 5 6 . = # # (a) Explain Blake’s mistake. (b
- November 2021, Paper 4, Q5 (8 marks): (a) Fountain A squirts water every 24 minutes. Fountain B squirts water every 42 minutes. They squirt water together at 15:19. Find the next time they squirt wa
- November 2021, Paper 5, Q2 (2 marks): (a) Azmi is given this question. Write 40 as a product of prime factors. Give your answer in index form. Azmi’s answer is 2 2 2 5 . # # # Is Azmi correct? Expla
- November 2020, Paper 5, Q1 (2 marks): Write 75 as a product of its prime factors.
- November 2020, Paper 5, Q6 (5 marks): A clock chimes every 20 minutes. A light flashes every 8 minutes. The clock chimes and the light flashes together at 08:00. How many times between 08:01 and 12:
- November 2019, Paper 4, Q3 (4 marks): At a railway station, trains are either eastbound or westbound. An eastbound train leaves the station every 25 minutes. A westbound train leaves the station eve
- November 2019, Paper 5, Q2 (3 marks): Given that 168 2 3 7 , find the lowest common multiple (LCM) of 168 and 30. = #
- June 2019, Paper 4, Q4 (5 marks): A bus timetable shows the following information. • A bus following route T leaves for the train station every 20 minutes. • A bus following route A leaves for t
- June 2019, Paper 6, Q11 (8 marks): You are given that 3 # 11 270 3 2 5 and 177147 3 = = # (a) (i) Find the lowest common multiple (LCM) of 270 and 177 147. Give your answer using power notation a
- November 2018, Paper 4, Q8 (10 marks): (a) Two numbers, P and Q, are written as products of their prime factors. 5 2 3 4 4 P 2 3 5 11 Q 2 3 5 7 = # # # = # # # (i) Find the lowest common multiple (LC
- June 2018, Paper 4, Q3 (7 marks): (a) (i) Write 120 as a product of its prime factors. (a)(i) (ii) The lowest common multiple (LCM) of x and 120 is 360. Find the smallest possible value of x. (i
- November 2017, Paper 5, Q3 (4 marks): Andrew is thinking of a number. • It is between 1 and 150. • It is one more than a square number. • It is three less than a cube number. • It is not a prime num
- November 2017, Paper 6, Q2 (3 marks): Carla runs every 3 days. She swims every Thursday. On Thursday 9 November, Carla both runs and swims. What will be the next date on which she both runs and swim
- June 2017, Paper 4, Q3 (5 marks): (a) Write 504 as the product of its prime factors. (a) (b) Find the lowest common multiple (LCM) of 180 and 504. (b)
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