plumiModelling with differential equations: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on I.5 Modelling with differential equations, 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 5 questions on Modelling with differential equations, as a list
- June 2025, Paper 2, Q17 (15 marks): A sample of biological material is placed in a freezer, and the freezer is then turned on. The initial temperature of the sample is 38 °C The temperature u °C o
- June 2023, Paper 2, Q16 (16 marks): A bungee jumper of mass m kg is attached to an elastic rope. The other end of the rope is attached to a fixed point. The bungee jumper falls vertically from the
- November 2021, Paper 1, Q8 (6 marks): A particle of mass 4 kg moves horizontally in a straight line. At time t seconds the velocity of the particle is v m s−1 The following horizontal forces act on
- November 2021, Paper 2, Q10 (13 marks): In a colony of seabirds, there are y birds at time t years. 10 (a) The rate of reduction in the number of birds due to birds dying or leaving the colony is prop
- June 2019, Paper 2, Q15 (14 marks): A B Two tanks, A and B, each have a capacity of 800 litres. At time t = 0 both tanks are full of pure water. When t > 0 , water flows in the following ways: * W
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