plumiFermat's little theorem: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 7.6 Fermat's little theorem, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 3 questions on Fermat's little theorem, as a list
- June 2025, Additional Pure Mathematics, Q1 (4 marks): (a) A student claims that the order of 5 modulo 37 is 5. Without calculation, explain why this student’s claim must be incorrect. [1] (b) Show that the order of
- November 2020, Additional Pure Mathematics, Q7 (10 marks): Throughout this question, n is a positive integer. 5 / (a) Explain why n n (mod 5). [1] 5 / 5 / (b) By proving that n n (mod 2), show that n n (mod 10). [3] 5 -
- June 2019, Additional Pure Mathematics, Q8 (11 marks): In this question you must show detailed reasoning. 2 / p (a) Prove that ( 2 p 2 ) 1 (mod p), where p is an odd prime. [4] - - - 34 15 (b) Find two odd prime fac
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.