plumiLoci and conic problems: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 4.3 Loci and conic problems, 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.
Questions from
Paper
All papers
Exam
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 PDF
All 7 questions on Loci and conic problems, as a list
- June 2025, AS Further Pure 1, Q5 (9 marks): The parabola C has equation y 2 = 16x The point P (4t 2 , 8t) lies on C. (a) Show that an equation for the tangent to C at P is yt – x = 4t 2 (3) The line l pas
- June 2023, Further Pure 1, Q4 (12 marks): The ellipse E has equation x y 2 2 16 9 1 (a) Determine the exact value of the eccentricity of E (2) The points P(4 cos θ, 3 sin θ) and Q(4 cos θ, –3 sin θ) lie
- June 2023, AS Further Pure 1, Q3 (5 marks): The rectangular hyperbola H has equation xy = c 2 where c is a positive constant. The line l has equation x – 2y = c The points P and Q are the points of inters
- June 2022, Further Pure 1, Q5 (9 marks): The rectangular hyperbola H has equation xy = 36 (a) Use calculus to show that the equation of the tangent to H at the point P 6 6 t t , is yt 2 + x = 12t (3
- November 2020, Further Pure 1, Q7 (14 marks): The points P(9p2, 18p) and Q(9q2, 18q) , p ≠ q , lie on the parabola C with equation y2 = 36x The line l passes through the points P and Q (a) Show that an equa
- November 2020, AS Further Pure 1, Q4 (7 marks): y P O S x C Figure 2 Figure 2 shows a sketch of the parabola C with equation y2 = 4ax, where a is a positive constant. The point S is the focus of C and the poi
- June 2019, Further Pure 1, Q8 (14 marks): The hyperbola H has equation x y 2 2 16 9 1 − = The line l1 is the tangent to H at the point P(4cosh ș, 3sinh ș). The line l1 meets the x-axis at the point A. T
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 Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.