Mathematics Pure WMA11: Exponentials and logarithms Topical Past Paper Questions
Edexcel A Level Mathematics Pure (WMA11) past-paper questions on Exponentials and logarithms, free. This topic is frequently examined across 14 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
Two populations of insects are being studied over the same period of time. The number of insects $ N_{A} $ in population A, t years after the start of the study, is modelled by the equation $$ N_{A}=8000+900\mathrm{e}^{0.2t} $$ According to the model, (a) find the rate of growth…
The temperature, $ \theta^{\circ}\mathrm{C} $, of a computer processor, $ t $ minutes after the computer is switched off, is modelled by the equation $$ \theta=21+A\mathrm{e}^{-kt} $$ where A and k are positive constants. Given that the temperature of the processor was $ 75^{\cir…
The current, x amps, at time t seconds after a switch is closed in a particular electric circuit is modelled by the equation $$ \frac{\mathrm{d}x}{\mathrm{d}t}=k-3x $$ where k is a constant. Initially there is zero current in the circuit. (a) Solve the differential equation to fi…
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