plumiExponential functions and graphs: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.06.1 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 5 questions on Exponential functions and graphs, as a list
- June 2024, AS Paper 2, Q5 (7 marks): e x 3 5 At the point P on the curve y 21 x - the gradient of the tangent is 3. 8 = - (a) Determine the x-coordinate of P. Give your answer in the form ln a, whe
- June 2023, AS Paper 1, Q4 (4 marks): x 4 A curve has equation y e . = (a) Determine the value of x when y 10 . [2] = (b) Determine the gradient of the tangent to the curve at the point where x 2 .
- June 2022, Paper 1, Q8 (9 marks): (a) Substance A is decaying exponentially such that its mass is m grams at time t minutes. Find the missing values of m and t in the following table. t 0 10 50
- June 2019, AS Paper 1, Q7 (11 marks): ekx 7 (a) Write down an expression for the gradient of the curve y . [1] = 1 e x (b) The line L is a tangent to the curve y at the point where x 2 . = = 2 Show
- June 2018, AS Paper 2, Q6 (9 marks): A pan of water is heated until it reaches 100 °C. Once the water reaches 100 °C, the heat is switched off and the temperature T °C of the water decreases. The t
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