plumiCoordinate systems and conics: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FP.4 Coordinate systems and conics, 2018–2025, with its mark scheme and examiner’s report.
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All 7 questions on Coordinate systems and conics, as a list
- June 2025, Further Pure with Technology, Q1 (21 marks): A family of curves is given by the cartesian equation 2 2 y x mxy 1 + + = 2 2 a b where a, b and m are real numbers with a and b non-zero. (a) In this part of t
- June 2024, Further Pure with Technology, Q1 (17 marks): A family of curves is given by the equation 2 2 x x a a - + - (*) y = x 1 - where the parameter a is a real number. (a) (i) On the axes in the Printed Answer Bo
- June 2023, Further Pure with Technology, Q1 (21 marks): A family of functions is defined as 2 x f x ( ) ax + , x 1 = + ! - 1 x where the parameter a is a real number. You may find it helpful to use a slider (for a) t
- June 2022, Further Pure with Technology, Q1 (20 marks): (a) A family of curves is given by the equation 2 2 x y 2 axy = (*) 1 + + where the parameter a is a real number. You may find it helpful to use a slider (for a
- November 2021, Further Pure with Technology, Q1 (9 marks): A family of circles is given by the equation 2 2 ( x 2 cos a ) ( y 2 sin a ) = (*) 1 - + - where the parameter a satisfies 0 a 1 2 . G r (a) Use a slider (for a
- November 2021, Further Pure with Technology, Q2 (12 marks): 2 This question is about the family of straight lines which pass through the points (0, a) and ( , 1 a ) where the parameter a is any real number. (a) In terms
- June 2019, Further Pure with Technology, Q1 (20 marks): A family of curves is given by the parametric equations cos (( m 1 ) ) t sin (( m 1 ) ) t + + x t ( ) cos ( ) t and ( ) y t sin ( ) t = - = - m 1 m 1 + + where
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