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CAA Global Entry exam of the Certified Actuarial Analyst qualification Sample Questions:

1. Consider the function

Calculate the anti-derivative of f(x).
A)

B)

C)

D)

A) Option C
B) Option A
C) Option D
D) Option B

2. Calculate the scalar product of the vectors A and B. where A = (5,10, 2) and B - (2. 3, 3).

A) 118
B) 136
C) 46
D) (10,30,6)

3. Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.

A) It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
B) It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
C) It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
D) It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.

4. Identify which of the following values is represented by:

A) The total increase in the value of f(x) between A and B.
B) The change in the gradient off(x) between A and B.
C) The total area under the graph of f(x) between A and B.
D) The average gradient off(x) between A and B.

5. A set of 17 observed values is being studied.
Identify which of the following statements is/are true.
I The median must be equalto one of the observed values.
II. The mean could be different from all of the observed values.
Ill If the observations are positively skewed, then the mean is less than the median IV. More than one mode is not possible.

A) III only
B) II and IV only
C) I and II only
D) I only

Solutions: