plumiDistances and shortest distances: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 6.4 Distances and shortest distances, 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 Distances and shortest distances, as a list
- June 2025, Core Pure 2, Q2 (8 marks): An archer shoots an arrow towards a target. In a model • the arrow is a particle • the flight path of the arrow is a straight line • the target is part of a pla
- June 2025, AS Core Pure, Q9 (7 marks): An engineer detects a source of water below the surface of the ground. The engineer models the situation relative to a fixed origin O. In the model • the surfac
- June 2024, AS Core Pure, Q6 (12 marks): The drainage system for a sports field consists of underground pipes. This situation is modelled with respect to a fixed origin O. According to the model, • the
- June 2023, Core Pure 1, Q5 (12 marks): The line l1 has equation x y z 5 1 4 3 3 5 The plane Π1 has equation 2x + 3y – 2z = 6 (a) Find the point of intersection of l1 and Π1 (2) The line l2 is the ref
- June 2022, Core Pure 2, Q8 (13 marks): Two birds are flying towards their nest, which is in a tree. Relative to a fixed origin, the flight path of each bird is modelled by a straight line. In the mod
- November 2021, Core Pure 1, Q7 (8 marks): The plane Π has equation 3 1 2 3 2 0 2 1 1 λ μ − = + + r where λ and μ are scalar parameters. (a) Show that vector 2i +
- November 2020, AS Core Pure, Q4 (13 marks): All units in this question are in metres. A lawn is modelled as a plane that contains the points L (–2, –3, –1), M (6, –2, 0) and N (2, 0, 0), relative to a fix
- June 2018, AS Core Pure, Q4 (11 marks): Part of the mains water system for a housing estate consists of water pipes buried beneath the ground surface. The water pipes are modelled as straight line seg
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