plumiSurfaces and contours: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 10.1 Surfaces and contours, 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 PDF
All 6 questions on Surfaces and contours, as a list
- June 2025, Extra Pure, Q4 (16 marks): 2 2 4 A surface, S, is defined in 3-D by z f ( , ) x y where ( , ) f x y x 12 xy 96 y 30 . = = - + + You are given that the point (0, 0, 30) on S is a stationar
- June 2024, Extra Pure, Q1 (17 marks): A surface, S, is defined in 3-D by z f ( , ) x y where ( , ) f x y 12 x 30 y 6 xy . = = - + (a) Determine the coordinates of any stationary points on the surfac
- June 2022, Extra Pure, Q5 (16 marks): x 2 x y ( 2 2 ) 5 A surface S is defined by z f ( , ), x y where ( , ) f x y y e - + + . = = f 2 (a) (i) Find . [1] x 2 f 2 x 2 x y 2 ( 2 2 ) (ii) Show that ( x
- November 2021, Extra Pure, Q1 (11 marks): In this question you must show detailed reasoning. 3 2 2 A surface S is defined by z f ( , ) x y where ( , ) f x y x x y 2 y . = = + - (a) On the coordinate axe
- November 2020, Extra Pure, Q6 (17 marks): 4 2 2 6 A surface S is defined by z f ( , ) x y 4 x 4 y 17 x y . = = + - (a) (i) Show that there is only one stationary point on S. [5] The value of z at the st
- June 2019, Extra Pure, Q2 (11 marks): 2 2 A surface S is defined by z 4 x 4 y 4 x 8 y 11 . = + - + + (a) Show that the point P (0.5, -1, 6) is the only stationary point on S. [2] (b) (i) On the axes
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR MEI A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.