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Equations reduced by substitution: Edexcel A‑Level Further Maths questions

Edexcel A-Level Further Maths past-paper questions on 3.2 Equations reduced by substitution, 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. Q7

    June 2025 · Further Pure 1

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All 6 questions on Equations reduced by substitution, as a list
  1. June 2025, Further Pure 1, Q7 (11 marks): The concentration, P mg m –3, of a pollutant in a reservoir, t days after the pollutant entered the reservoir, is modelled by the differential equation 1 4 1 2
  2. June 2024, Further Pure 1, Q10 (12 marks): The motion of a particle P along the x-axis is modelled by the differential equation t x t t t x t t x t t 2 2 2 3 2 1 2 1 8 d d d d e  (I) where P has displac
  3. June 2023, Further Pure 1, Q2 (16 marks): The vertical height, h m, above horizontal ground, of a passenger on a fairground ride, t seconds after the ride starts, where t  5, is modelled by the differe
  4. June 2022, Further Pure 1, Q9 (13 marks): A particle P moves along a straight line. At time t minutes, the displacement, x metres, of P from a fixed point O on the line is modelled by the differential e
  5. November 2021, Further Pure 1, Q8 (17 marks): A community is concerned about the rising level of pollutant in its local pond and applies a chemical treatment to stop the increase of pollutant. The concentra
  6. June 2019, Further Pure 1, Q6 (17 marks): The concentration of a drug in the bloodstream of a patient, t hours after the drug has been administered, where t - 6, is modelled by the differential equation

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