# IFoA IFoA_CAA_M0 Module 0 - Entry Exam Exam Practice Test

Demo: 9 questions
Total 64 questions

## Module 0 - Entry Exam Questions and Answers

Question 1

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

4x2 - 11x - 3 = 0

#### Options:

A.

-£1.00

B.

-£0.25

C.

£0.75

D.

£3.00

Question 2

Assuming the position of the first quartile of an appropriately ordered dataset is given by

and the position of the third quartile of an appropriately ordered dataset is given by

Calculate the range and interquartile range of the above dataset.

#### Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Question 3

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

Calculate the magnitude of vector U to two decimal places.

#### Options:

A.

2.65

B.

5.92

C.

7.00

D.

9.00

Question 4

The stem and leaf chart below shows the ages of all the pensioners in a small village.

Identify which of the following is not true.

#### Options:

A.

There are 13 pensioners in the village.

B.

The most common age is 63.

C.

The oldest pensioner is 89.

D.

There is a pensioner aged 70.

Question 5

The random variable X has the following probability density function ("PDF"):

Calculate: P(x ≥ 1.5)

#### Options:

A.

0.164

B.

0.250

C.

0.320

D.

0.484

Question 6

X is a random variable with expected value E(X).

Identify which of the following is not a valid method for calculating the variance of X.

#### Options:

A.

E[ X - E(X) ]2

B.

The second moment of X minus the square of the first moment of X.

C.

E( X2 ) - [ E(X) ]2

D.

E( X2 ) - E(X)

Question 7

Calculate the total area enclosed by the x-axis and the function below, between x = 1.5 and x = 2.

f(x) = 2x3

#### Options:

A.

2.734

B.

5.469

C.

8.000

D.

10.938

Question 8

For the following data set, calculate the mean and median.

10, 8, 5, 7, 14, 5, 3, 9, 5, 8

#### Options:

A.

The mean is 7.4 and the median is 7.5.

B.

The mean is 7.4 and the median is 8.0.

C.

The mean is 8.2 and the median is 7.5.

D.

The mean is 8.2 and the median is 8.0.

Question 9

v = f(x, y, z) is a real valued function of 3 variables.

Express the partial derivative of v with respect to z in standard mathematical notation.

A)

B)

C)

D)

#### Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Demo: 9 questions
Total 64 questions