Mathematics B (MEI) H630: EXPONENTIALS AND LOGARITHMS Topical Past Paper Questions

A student records the time a pendulum takes to swing for different lengths of pendulum. The student decides to plot a graph of $ \log_{10} T $ against $ \log_{10} l $ where T is the time in seconds that the pendulum takes to return to its start position and l is the length in met…

Layla invests money in the bank and receives compound interest. The amount £L that she has after t years is given by the equation $ L = 2800 \times 1.023^{t} $. (a) (i) State the amount she invests. [1] (ii) State the annual rate of interest. [1] Amit invests £3000 and receives 2…

In 2019 scientists developed a model for comparing the ages of humans and dogs. According to the model, $$ \boldsymbol{Y}=\boldsymbol{A}\ln\boldsymbol{X}+\boldsymbol{B} $$ where $X = \text{dog age}$ in years and $Y = \text{human age}$ in years. For the model, it is known that whe…