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IFoA_CAA_M0 Module 0 - Entry Exam Questions and Answers

Questions 4

The first term of an arithmetic sequence is 12 and the ninth term is 68.

 

Calculate the sum of the first 18 terms.

Options:

A.

1,165

B.

1,287

C.

1,350

D.

1,413

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Questions 5

Consider the function:

 IFoA_CAA_M0 Question 5

Calculate the partial derivative IFoA_CAA_M0 Question 5 .

A)

IFoA_CAA_M0 Question 5

B)

IFoA_CAA_M0 Question 5

C)

IFoA_CAA_M0 Question 5

D)

IFoA_CAA_M0 Question 5

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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Questions 6

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.

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Questions 7

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)

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Questions 8

Calculate

 IFoA_CAA_M0 Question 8

Options:

A.

-245

B.

-95

C.

-55

D.

55

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Questions 9

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

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Exam Code: IFoA_CAA_M0
Exam Name: Module 0 - Entry Exam
Last Update: May 16, 2024
Questions: 64

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