plumiExponential functions and graphs: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 6.1 Exponential functions and graphs, 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 Exponential functions and graphs, as a list
- June 2025, AS Paper 2, Q15 (7 marks): 3x 15 (a) On the axes in the Printed Answer Booklet, sketch the graph of y [2] . = 3x (b) Determine the exact coordinates of the points of intersection of the c
- June 2024, Paper 1, Q5 (5 marks): (a) Make y the subject of the formula log ( y k ) x log 2 , where k is a positive constant. [2] - = 10 10 (b) Sketch the graph of y against x. [3]
- June 2022, Paper 2, Q3 (6 marks): 4x 3 (a) On the axes in the Printed Answer Booklet, sketch the curve with equation y 3 . . [3] = # x (b) Given that 3 0 4 . 0 8 . , determine the value of x cor
- November 2021, Paper 3, Q5 (8 marks): x 5 (a) The diagram shows the curve y e . = y x O On the axes in the Printed Answer Booklet, sketch graphs of y against x, d (i) [1] x d y against y. d (ii) [2]
- November 2021, AS Paper 1, Q11 (10 marks): On the day that a new consumer product went on sale (day zero), a call centre received 1 call about it. On the 2nd day after day zero the call centre received 3
- November 2020, Paper 3, Q11 (2 marks): Show that ex is an increasing function for all values of x, as stated in line 39. [2]
- November 2020, AS Paper 2, Q11 (10 marks): - . 11 A car is travelling along a stretch of road at a steady speed of 11ms 1 The driver accelerates, and t seconds after starting to accelerate the speed of t
- June 2018, Paper 2, Q5 (3 marks): (i) (A) Sketch the graph of y = 3x. 5 [1] (B) Give the coordinates of any intercepts. [1] The curve y = f(x) is the reflection of the curve y = 3x in the line y
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