plumiIsomorphism: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on DG.3 Isomorphism, 2019–2025, 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 4 questions on Isomorphism, as a list
- June 2023, Paper 3 Discrete, Q9 (9 marks): The group (C, +4) contains the elements 0, 1, 2 and 3 9 (a) (i) Show that C is a cyclic group. [2 marks] 9 (a) (ii) State the group of symmetries of a regular p
- June 2022, Paper 3 Discrete, Q7 (8 marks): The group G has binary operation * and order p, where p is a prime number. 7 (a) Determine the number of distinct subgroups of G Fully justify your answer. [2 m
- November 2020, Paper 3 Discrete, Q6 (8 marks): The group (G, ~) has the elements e, r, r2, q, qr and qr2, where r2 = r ~r , qr = q ~r , qr2 = q ~r2 and e is the identity element of G. The elements q and r ha
- June 2019, Paper 3 Discrete, Q5 (12 marks): The set S is defined as S = fA, B, C, Dg where A = 1 0 0 1 B = 0 −1 1 0 C = −1 0 0 −1 D = 0 1 −1 0 The group G is formed by S under matrix multiplication. The g
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