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Pass the IFoA Certified Actuarial Analyst IFoA_CAA_M0 Questions and answers with ExamsMirror

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400 Students Passed

97% Average Score

91% Same Questions
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Questions # 1:

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

Questions # 2:

A cat rescue centre keeps a record of how many kittens are born in each litter over a year.  The bar chart summarises the figures.

 

Consider the mean, mode and median of the number of kittens per litter. 

 

Determine which one of the statements is true.

Options:

A.

{exhibit 3729}

B.

The mean is greater than the mode.

C.

The mode and median are the same.

D.

The median is less than the mean.

The median equals 4.5.

Questions # 3:

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

Questions # 4:

When differentiating the product of two factors, u and v, the Product Rule can be used.

 

State the Product Rule.

A)

Question # 4

B)

Question # 4

C)

Question # 4

D)

Question # 4

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Questions # 5:

Define the partial derivative of f(x, y) with respect to x.

A)

Question # 5

B)

Question # 5

C)

Question # 5

D)

Question # 5

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Questions # 6:

A coin is tossed 7 times.

 

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

Options:

A.

35

B.

42

C.

210

D.

840

Questions # 7:

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

 

If U0 = 0, calculate U2 =  

Options:

A.

3

B.

9

C.

13

D.

21

Questions # 8:

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)

Questions # 9:

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

 Question # 9

 

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.

Questions # 10:

Let A =  Question # 10

Let B =  Question # 10

 

Calculate    Question # 10

Options:

A.

986

B.

1,224

C.

2,056

D.

3,286

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