plumiModelling with differential equations: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 9.5 Modelling with 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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All 8 questions on Modelling with differential equations, as a list
- June 2025, Core Pure 1, Q8 (12 marks): A rambler starts a walk at the bottom of a hill at 10 am. The rambler walks all the way to the top of the hill and then turns around and walks back down to the
- June 2024, Core Pure 1, Q5 (9 marks): A raindrop falls from rest from a cloud. The velocity, v m s –1 vertically downwards, of the raindrop, t seconds after the raindrop starts to fall, is modelled
- June 2024, Core Pure 2, Q6 (14 marks): The motion of a particle P along the x-axis is modelled by the differential equation 2 5 2 4 12 2 2 d d d d x t x t x t where P is x metres from the origin O at
- June 2023, Core Pure 1, Q6 (12 marks): Water is flowing into and out of a large tank. Initially the tank contains 10 litres of water. The rate of flow of the water is modelled so that • there are V l
- November 2021, Core Pure 1, Q8 (9 marks): Two different colours of paint are being mixed together in a container. The paint is stirred continuously so that each colour is instantly dispersed evenly thro
- November 2020, Core Pure 1, Q7 (11 marks): A sample of bacteria in a sealed container is being studied. The number of bacteria, P, in thousands, is modelled by the differential equation ( ) ( ) 1 1 1 2 +
- November 2020, Core Pure 2, Q3 (14 marks): A scientist is investigating the concentration of antibodies in the bloodstream of a patient following a vaccination. The concentration of antibodies, x, measur
- June 2019, Core Pure 1, Q5 (13 marks): $WDQNDWDFKHPLFDOSODQWKDVDFDSDFLW\RIOLWUHV7KHWDQNLQLWLDOO\FRQWDLQV OLWUHVRISXUHZDWHU 6DOWZDWHUHQWHUVWKHWDQNDWDUDWHRI
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