plumiForming differential equations: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 7.9 Forming 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.
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All 6 questions on Forming 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, 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 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
- 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 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
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