GCSE Maths
GCSE Maths Prime Factors, HCF and LCM Exam Questions
Free GCSE Maths exam questions on Prime Factors, HCF and LCM, with full model answers. Covers prime factor decomposition, highest common factor and lowest common multiple.
Prime Factors, HCF and LCM exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About GCSE Maths Prime Factors, HCF and LCM
Prime Factors, HCF and LCM is a Grade 4+ GCSE Maths topic, so it mostly comes up on Foundation and Higher tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.
What you need to know
- Factor trees Split into primes and write in index form.
- HCF Multiply common prime factors.
- LCM Multiply the highest power of each prime.
Common mistakes in Prime Factors, HCF and LCM
- Leaving non-primes in the tree.
- Mixing HCF and LCM.
Try two Prime Factors, HCF and LCM exam-style questions
1. Write 72 as a product of primes. (2 marks)
Show the mark scheme answer
2³ x 3²
2. Find the LCM of 12 and 18. (1 mark)
Show the mark scheme answer
36
Prime Factors, HCF and LCM FAQs
Which exam boards include Prime Factors, HCF and LCM?
These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.
What grade is Prime Factors, HCF and LCM in GCSE Maths?
It is a Grade 4+ topic, so it mostly appears on Foundation and Higher tier papers.
How should I use these Prime Factors, HCF and LCM questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
