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Log graphs to estimate parameters: Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 6.4 Log graphs to estimate parameters, 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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1,254 questions

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  3. Q11

    June 2023 · Pure 1

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  5. Q10

    November 2021 · Pure 2

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  6. Q13

    November 2021 · AS Pure

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  8. Q9

    June 2019 · Pure 2

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All 9 questions on Log graphs to estimate parameters, as a list
  1. 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
  2. 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
  3. 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
  4. 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
  5. November 2021, Pure 2, Q10 (6 marks): The time, T seconds, that a pendulum takes to complete one swing is modelled by the formula T = al b where l metres is the length of the pendulum and a and b ar
  6. November 2021, AS Pure, Q13 (7 marks): 2.25 log10 h O log10 m Figure 2 The resting heart rate, h, of a mammal, measured in beats per minute, is modelled by the equation h = pm q where p and q are con
  7. 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
  8. June 2019, Pure 2, Q9 (9 marks): A research engineer is testing the effectiveness of the braking system of a car when it is driven in wet conditions. The engineer measures and records the braki
  9. June 2019, Statistics, Q3 (9 marks): Barbara is investigating the relationship between average income (GDP per capita), x US dollars, and average annual carbon dioxide (CO,) emissions, y tonnes, fo

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