Practice Free IFoA_CAA_M0 Module 0 - Entry Exam Exam Questions Answers With Explanation

A recurrence relation is given by: Un = 2Un - 1 + 3

If U0 = 0, calculate U2 =  

The variable s can take values between 2 and 6.

Identify which of the inequalities shown can be satisfied by at least one value of s.

Consider the function:

Calculate the partial derivative .

A)

B)

C)

D)

A function f(x) is known for two values:

f(2) = 8 and f(5) = 14.

Using linear interpolation estimate f(3).

A)

B)

C)

D)

Using simple iteration, based on trial and improvement, the cubic equation below can be solved:

2x3 + 5x2 +7x - 12 = 0 

Solve for x to 6 decimal places.

Calculate the sum of the following non-terminating progression:

2/10, 2/40, 2/160, 2/640,...

A biased coin has the following probability distribution function:

P(heads) = 0.80

P(tails) = 0.20

The biased coin is tossed twice in succession.  

Calculate the probability of tossing at least one tail.

The table below shows the distribution of the number of people in each household in a village.

Determine which of the following inequalities is true for the number of people living in a house.

An individual purchases a share in a company at a price of £45. Six months later he sells the share for £39.

Calculate the percentage change in the value of the share over the six month period, correct to one decimal place.

Determine which of the following statements are not true.

I. In a histogram the height of each rectangle equals the frequency of the interval

II. A box-plot chart is constructed to show the following values: Mean, Median, Upper Quartile, Minimum and Maximum

III. The set of data 2,2,5,7,8,8,9,10,11,12,14,16, 20 can be represented by the following frequency table:

Identify which of the following involves weak inequality.

A)

B)

C)

D)

A weekly pet insurance premium is given by a solution of the following equation:

 4x2 - 11x - 3 = 0

Calculate the premium.

Let A = 

Let B = 

Calculate   

Consider the vector U = (3, -1, 5).

Calculate the magnitude of vector U to two decimal places.