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IFoA_CAA_M0 Practice Exam Questions and Answers

Module 0 - Entry Exam

Last Update 14 hours ago
Total Questions : 64

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Question # 1

Determine the coefficient of x3 in the binomial expansion of (2 + x)5.

Options:

A.  

10

B.  

40

C.  

64

D.  

80

Discussion 0
Question # 2

One of the two solutions to the equation is   .

 Question # 2

Determine the second solution.

Question # 2

A)

Question # 2

B)

Question # 2

C)

Question # 2

D)

Question # 2

Options:

A.  

Option A

B.  

Option B

C.  

Option C

D.  

Option D

Discussion 0
Question # 3

Calculate which of the following is a simplification of (1 + x)2 - x2 + ln(e3x).

Options:

A.  

1 + 2x

B.  

1 + 3x

C.  

1 + 5x

D.  

1 + 2x + x3

Discussion 0
Question # 4

Define the standard deviation of a finite data set.

Options:

A.  

The standard deviation is the sum of the difference between each data point and its expected value.

B.  

The standard deviation is the product of the difference between each data point and its expected value.

C.  

The standard deviation is the square root of the product of the squared difference between each data point and its expected value.

D.  

The standard deviation is the square root of the average of the squared difference between each data point and its expected value.

Discussion 0
Question # 5

An insurance company sells policies where, for each policy, the policyholder pays the first £50 of the cost of any claim. A claim reported to the insurance company takes some unknown value £x.

 

Identify which of the mathematical expressions below represents the cost in £ to the insurance company of the claim.

Options:

A.  

x - 50

B.  

x

C.  

max(x, 50)

D.  

max(x - 50, 0)

Discussion 0
Question # 6

Calculate the second order derivative of y with respect to x, where:

 

y = 3x2 + ex

Options:

A.  

6 + ex

B.  

6x + ex

C.  

6x + ex-1

D.  

6 + (x - 1)ex-2

Discussion 0
Question # 7

Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2

Options:

A.  

(0,1) and a saddle point

B.  

(0,0) and a minimum

C.  

(0,0) and a maximum

D.  

(0.5,-1) and a maximum

Discussion 0
Question # 8

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.

Options:

A.  

s + 5 < 6

B.  

s + 9 < 6

C.  

s - 6 > 2

D.  

s - 2 > 2

Discussion 0
Question # 9

Identify the condition that fully describes the existence of independence between two events A and

B.  

Options:

A.  

P(A|B) = P(A)/P(B) and P(B|A) = P(B)/P(A)

B.  

P(A|B) = P(A) - P(B) and P(B|A) = P(B) - P(A)

C.  

P(A|B) = P(A) and P(B|A) = P(B)

D.  

P(A|B) = P(A) + P(B) and P(B|A) = P(B) + P(A)

Discussion 0
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