plumiEquations of lines: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 6.1 Equations of lines, 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 9 questions on Equations of lines, 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, Core Pure 1, Q7 (10 marks): The line l1 has equation r = i – 2j + 3k + λ(2i + j – 4k) and the line l2 has equation r = 5i + pj – 7k + μ(6i + j + 8k) where λ and μ are scalar parameters and
- June 2024, Further Pure 1, Q9 (10 marks): (i) The line l1 has equation 2 3 3 4 1 1 r λ The line l2 has equation 13 1 5 2 8 5 r μ where λ and μ are scalar parameters. The li
- 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, AS Core Pure, Q6 (11 marks): The line l1 has equation 2 3 2 0 0 1 λ r where λ is a scalar parameter. The line l2 is parallel to 1 2 3 (a) Show that l1 and l
- 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 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 2019, Core Pure 1, Q7 (7 marks): The line lKDVHTXDWLRQ x y z − = + − = − 1 2 1 1 4 3 The line l2KDVHTXDWLRQ r = i + 3k + t(i − j + 2k where tLVDVFDODUSDUDPHWHU D 6KRZWKDWl an
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