plumiDifferential equations: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 8.9 Differential equations, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
All papers
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 11 questions on Differential equations, as a list
- June 2025, Pure 2, Q10 (9 marks): Water flows at a constant rate into a large container. There is a tap at the bottom of the container. At time t hours after the tap was opened • the volume of w
- June 2024, Pure 1, Q7 (8 marks): Diagram not drawn to scale. L 1.5 m H m Figure 2 Figure 2 shows a cylindrical tank of height 1.5 m. Initially the tank is full of water. The water starts to lea
- June 2024, Pure 1, Q14 (9 marks): A balloon is being inflated. In a simple model, • the balloon is modelled as a sphere • the rate of increase of the radius of the balloon is inversely proportio
- June 2024, Pure 2, Q12 (12 marks): (a) Express 1 25 V V in partial fractions. (2) The volume, V microlitres, of a plant cell t hours after the plant is watered is modelled by the differential equ
- June 2023, Pure 2, Q11 (10 marks): h m 10 m 20 m 5 m Figure 1 A tank in the shape of a cuboid is being filled with water. The base of the tank measures 20 m by 10 m and the height of the tank is
- June 2022, Pure 2, Q14 (10 marks): (a) Express 3 2 1 1 ( )( ) x x − + in partial fractions. (3) When chemical A and chemical B are mixed, oxygen is produced. A scientist mixed these two chemicals
- November 2021, Pure 2, Q14 (12 marks): 8 m 3 m h m 5 m T Figure 5 Water flows at a constant rate into a large tank. The tank is a cuboid, with all sides of negligible thickness. The base of the tank
- November 2020, Pure 1, Q14 (10 marks): A large spherical balloon is deflating. At time t seconds the balloon has radius r cm and volume V cm3 The volume of the balloon is modelled as decreasing at a
- June 2019, Pure 2, Q14 (15 marks): (a) Use the substitution u í h to show that dh h 4 − íOQ|í h |í h + k where k is a constant (6) A team of scientists is studying a species of
- June 2018, Pure 1, Q10 (8 marks): The height above ground, H metres, of a passenger on a roller coaster can be modelled by the differential equation d d H t H t = cos( . ) 0 25 40 where t is the
- June 2018, Pure 2, Q10 (8 marks): A spherical mint of radius 5 mm is placed in the mouth and sucked. Four minutes later, the radius of the mint is 3 mm. In a simple model, the rate of decrease o
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Edexcel A-Level Maths past papers, or our free Edexcel-style practice pack.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.