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Coupled differential equations: Edexcel A‑Level Further Maths questions

Edexcel A-Level Further Maths past-paper questions on 9.4 Coupled differential equations, 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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789 questions

  1. Q8

    June 2024 · Core Pure 1

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  5. Q8

    June 2019 · Core Pure 1

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All 5 questions on Coupled differential equations, as a list
  1. June 2024, Core Pure 1, Q8 (15 marks): A scientist is studying the effect of introducing a population of type A bacteria into a population of type B bacteria. At time t days, the number of type A bac
  2. June 2023, Core Pure 2, Q9 (14 marks): A patient is treated by administering an antibiotic intravenously at a constant rate for some time. Initially there is none of the antibiotic in the patient. At
  3. November 2021, Further Pure 2, Q8 (17 marks): A = 5 2 5 0 3 6 6 4 − − −         p where p is a constant Given that 2 1 2 −         is an eigenvector for A (a) (i) determine the eigenvalue co
  4. November 2020, Core Pure 1, Q5 (17 marks): Two compounds, X and Y, are involved in a chemical reaction. The amounts in grams of these compounds, t minutes after the reaction starts, are x and y respectiv
  5. June 2019, Core Pure 1, Q8 (18 marks):  $VFLHQWLVWLVVWXG\LQJWKHHIIHFWRILQWURGXFLQJDSRSXODWLRQRIZKLWHFODZHGFUD\ILVKLQWR DSRSXODWLRQRIVLJQDOFUD\ILVK  $WWLPHt\HDUVWKHQXPEHUR

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