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Isomorphism: Edexcel A‑Level Further Maths questions

Edexcel 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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  1. Q1

    June 2025 · Further Pure 2

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  2. Q7

    June 2024 · Further Pure 2

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  3. Q6

    November 2020 · Further Pure 2

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  4. Q6

    June 2019 · Further Pure 2

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All 4 questions on Isomorphism, as a list
  1. June 2025, Further Pure 2, Q1 (7 marks): The set S = {1, 3, 5, 9, 11, 13} forms the group G, under the operation multiplication modulo 14 (a) Complete the Cayley table below for the group G ×14 1 3 5 9
  2. June 2024, Further Pure 2, Q7 (10 marks): The set of matrices G = {I, A, B, C, D, E} where I A B C D          1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1   E 0 1 1 1 with the operation Ä2
  3. November 2020, Further Pure 2, Q6 (10 marks): 1 2 3 4 5 6 Figure 3 Figure 3 shows a plane shape made up of a regular hexagon with an equilateral triangle joined to each edge and with alternate equilateral t
  4. June 2019, Further Pure 2, Q6 (12 marks): (i) A binary operation * is defined on positive real numbers by a * b = a + b + ab Prove that the operation * is associative. (4) (ii) The set G ^

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