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Simultaneous equations in three unknowns: AQA Level 2 Further Maths questions

Every AQA Level 2 Further Maths exam question on 2.16 Simultaneous equations in three unknowns, 2021–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q17

    June 2025 · Paper 2

    The whole paper ↗
  2. Q18

    June 2023 · Paper 1

    The whole paper ↗
  3. Q17

    June 2022 · Paper 2

    The whole paper ↗
  4. Q14

    November 2021 · Paper 1

    The whole paper ↗
  5. Q17

    Specimen · Paper 1

    The whole paper ↗
All 5 questions on Simultaneous equations in three unknowns, as a list
  1. June 2025, Paper 2, Q17 (5 marks): Solve 2 4 12 3 2 2 5 3 6 a b c a b c a b c + + = − + = − − − = Do not use trial and improvement. You must show your working. a = b = c =
  2. June 2023, Paper 1, Q18 (5 marks): Solve the simultaneous equations 2x + y = 13 x + 3z = 2 z – 2y = –7 Do not use trial and improvement. You must show your working. x = y = z =
  3. June 2022, Paper 2, Q17 (5 marks): Solve the simultaneous equations a + 3b – 2c = 4 4a – 3b + 5c = –5 2a + b + 3c = 9 Do not use trial and improvement. You must show your working. a = b = c =
  4. November 2021, Paper 1, Q14 (5 marks): Solve the simultaneous equations. 4a – b + 3c = 27 3a + 2b – c = 5 2a – 5c = –7 Do not use trial and improvement. You must show your working. a = b = c =
  5. Specimen, Paper 1, Q17 (5 marks): Solve the simultaneous equations 2a + b – c = 8 4a – 3b – 2c = –9 6a + 3b + c = 0 a = b = c =

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