plumiExponential growth and decay models: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 6.5 Exponential growth and decay models, 2010–2025, 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 22 questions on Exponential growth and decay models, as a list
- June 2025, Pure 1, Q11 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The value of a car, £V, is mo
- June 2025, Pure 2, Q9 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A new type of car is released
- June 2025, AS Pure, Q13 (12 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The growth of a particular tr
- June 2024, Pure 2, Q13 (9 marks): The world human population, P billions, is modelled by the equation P = ab t where a and b are constants and t is the number of years after 2004 Using the estim
- June 2024, AS Pure, Q7 (5 marks): O x log10 P (0, 3.3) (6, 2.1) Figure 2 A chimney emits smoke particles. On a particular day, the concentration of smoke particles in the air emitted by this chi
- June 2024, AS Pure, Q11 (6 marks): The prices of two precious metals are being monitored. The price per gram of metal A, £ VA , is modelled by the equation VA = 100 + 20e 0.04t where t is the num
- June 2023, Pure 1, Q11 (7 marks): O log10 V (0, 3) (10, 2.79) t Figure 2 The value, V pounds, of a mobile phone, t months after it was bought, is modelled by V = ab t where a and b are constants
- June 2023, Pure 2, Q4 (4 marks): Coffee is poured into a cup. The temperature of the coffee, H °C, t minutes after being poured into the cup is modelled by the equation H = Ae – Bt + 30 where A
- June 2023, AS Pure, Q11 (6 marks): The height, h metres, of a plant, t years after it was first measured, is modelled by the equation Using the model, (a) find the height of the plant when it was
- June 2022, Pure 1, Q10 (8 marks): A scientist is studying the number of bees and the number of wasps on an island. The number of bees, measured in thousands, Nb , is modelled by the equation Nb
- June 2022, AS Pure, Q5 (10 marks): The mass, A kg, of algae in a small pond, is modelled by the equation A = pqt where p and q are constants and t is the number of weeks after the mass of algae w
- June 2022, AS Pure, Q8 (6 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The air pressure, P kg/cm2, i
- November 2021, Pure 1, Q8 (9 marks): A scientist is studying the growth of two different populations of bacteria. The number of bacteria, N, in the first population is modelled by the equation N =
- November 2021, AS Pure, Q11 (6 marks): The owners of a nature reserve decided to increase the area of the reserve covered by trees. Tree planting started on 1st January 2005. The area of the nature r
- November 2020, Pure 1, Q8 (2 marks): A new smartphone was released by a company. The company monitored the total number of phones sold, n, at time t days after the phone was released. The company o
- November 2020, Pure 2, Q9 (6 marks): A quantity of ethanol was heated until it reached boiling point. The temperature of the ethanol, θ °C, at time t seconds after heating began, is modelled by the
- November 2020, AS Pure, Q8 (9 marks): The temperature, θ °C, of a cup of tea t minutes after it was placed on a table in a room, is modelled by the equation θ = 18 + 65e −t 8 t 0 Find, according t
- November 2020, AS Pure, Q12 (7 marks): An advertising agency is monitoring the number of views of an online advert. The equation log10 V = 0.072t + 2.379 1 t 30, t ∈ is used to model the total
- June 2019, Pure 1, Q7 (7 marks): In a simple model, the value, £V, of a car depends on its age, t, in years. The following information is available for car A Ɣ its value when new is £20 000 Ɣ i
- June 2019, AS Pure, Q14 (9 marks): The value of a car, £V, can be modelled by the equation V = 15 700e– 0.25t + 2300 t \, t . 0 where the age of the car is t years. Using the model, (a) find th
- June 2018, Pure 1, Q12 (10 marks): The value, £V, of a vintage car t years after it was first valued on 1st January 2001, is modelled by the equation V = Ap t where A and p are constants Given th
- June 2018, Pure 2, Q14 (10 marks): A scientist is studying a population of mice on an island. The number of mice, N, in the population, t months after the start of the study, is modelled by the e
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