plumiIsomorphism: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 7.3 Isomorphism, 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.
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All 7 questions on Isomorphism, as a list
- June 2024, Additional Pure Mathematics, Q8 (15 marks): The group G is cyclic and of order 12. (a) (i) State the possible orders of all the proper subgroups of G. You must justify your [2] answers. (ii) List all the
- June 2023, Additional Pure Mathematics, Q5 (10 marks): = " , under 5 (a) The group G consists of the set S 1 9 17 25 , , , , the operation of multiplication # 32 modulo 32. (i) Complete the Cayley table for G given
- June 2022, AS Additional Pure Mathematics, Q7 (13 marks): The diagram below shows an equilateral triangle ABC. The three lines of reflection symmetry of ABC (the lines a, b and c) are shown as broken lines. The point o
- November 2021, Additional Pure Mathematics, Q2 (5 marks): The following Cayley table is for G, a group of order 6. The identity element is e and the group is generated by the elements a and b. a2 2 G e a b ab a b a2 2
- November 2020, Additional Pure Mathematics, Q6 (10 marks): The group G consists of the set {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36} under , the operation # 39 of multiplication modulo 39. (a) List the possible orde
- June 2019, Additional Pure Mathematics, Q5 (11 marks): The group G consists of a set S together with , the operation of multiplication modulo 80. It is # 80 given that S is the smallest set which contains the elemen
- June 2019, AS Additional Pure Mathematics, Q7 (12 marks): You are given the set S = {1, 5, 7, 11, 13, 17} together with , the operation of multiplication # 18 modulo 18. (a) Complete the Cayley table for (S, ) given in
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