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

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Questions # 1:

Determine which of the statements is true about the root(s) of the following equation:

 Question # 1

Options:

A.

There is only one real root which takes a positive value.


B.

There is only one real root which takes a negative value.


C.

There are two real roots, r1 and r2, where r1 is positive and:

r1 = - 0.5 r2


D.

There are two real roots, r1 and r2, where r1 is positive and:

r1 = - 2 r2


Questions # 2:

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 # 3:

Determine which of the following is the Maclaurin expansion (up to the second order term) of: e2x

A)

Question # 3

B)

Question # 3

C)

Question # 3

D)

Question # 3

Options:

A.

Option A


B.

Option B


C.

Option C


D.

Option D


Questions # 4:

Calculate the sum of the following non-terminating progression:

 

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

Options:

A.

0.174


B.

0.266


C.

0.267


D.

0.406


Questions # 5:

Identify which of the following involves weak inequality.

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:

Let A =  Question # 6

Let B =  Question # 6

 

Calculate    Question # 6

Options:

A.

986


B.

1,224


C.

2,056


D.

3,286


Questions # 7:

For -3.14 ≤ x ≤ +3.14, the graph of the function, sin x, is show below.

 Question # 7

Identify the range of this defined function.

 

Options:

A.

[-1,1]


B.

[0,1]


C.

(-1,1)


D.

(-1,1]


Questions # 8:

Calculate the mean, median and mode of the above dataset.

Question # 8

Question # 8

Options:

A.

Option A


B.

Option B


C.

Option C


D.

Option D


Questions # 9:

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.


Questions # 10:

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z,  while the "digit" can be any number from 0 to 9. E.g: Z9835.

 

Calculate the probability of a sea vessel having an identification ending in "007".

Options:

A.

0.001


B.

0.002


C.

0.003


D.

0.504


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