Mathematics 7357: Exponentials and Logarithms Topical Past Paper Questions
AQA A Level Mathematics (7357) past-paper questions on Exponentials and Logarithms, free. This topic is frequently examined across 7 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
The temperature $ \theta $ °C of an oven $ t $ minutes after it is switched on can be modelled by the equation $$ \theta=20(11-10\mathrm{e}^{-kt}) $$ where k is a positive constant. Initially the oven is at room temperature. The maximum temperature of the oven is $ T^{\circ}C $ T…
Victoria, a market researcher, believes the average weekly value, £V million, of online grocery sales in the UK has grown exponentially since 2009. Victoria models the incomplete data, shown in the table, using the formula $$ V=a\times b^{N} $$ where N is the number of years sinc…
A planet takes T days to complete one orbit of the Sun. T is known to be related to the planet's average distance d, in millions of kilometres, from the Sun. A graph of $ \log_{10} T $ against $ \log_{10} d $ is shown with data for Mercury and Uranus labelled. (a) (i) Find the eq…
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