IFoA_CAA_M0 Module 0 - Entry Exam Questions and Answers

The particular solution of the second-order difference equation

yn+2 - 6yn+1 + 8yn = 0                                       n ≥ 2

subject to the initial conditions y0 = 3 and y1 = 2 may be written in the form

yn = A(2n) + B(4n)                                             n ≥ 0.

Determine the values of (A, B).

Identify which of the following best describes the nature of a stationary point.

Determine which of the statements is true about the root(s) of the following equation:

A coin is tossed 7 times.

Calculate the number of possible combinations that gives 4 heads and 3 tails.

A and B are the stationary points of f(x).  

f(x) = 2x3 - x2 - 8x + 8

A = (-1,13)

B = (4/3,8/27)

Determine whether each stationary point is a maximum, minimum or point of inflexion.

Calculate the mean, median and mode of the above dataset.