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Last Updated: Sep 05, 2026
No. of Questions: 57 Questions & Answers with Testing Engine
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| Section | Weight | Objectives |
|---|---|---|
| Probability and Statistics | 40% | - Basic probability theory - Discrete and continuous probability distributions - Statistical inference and hypothesis testing - Measures of location, dispersion and correlation - Data presentation and analysis |
| Fundamental Mathematics | 30% | - Sequences and series - Numerical methods - Differential and integral calculus - Algebra, equations and inequalities - Mathematical constants and standard functions |
| Introduction to Actuarial Concepts | 10% | - Overview of actuarial work and risk management - Basic actuarial applications |
| Financial Mathematics Basics | 20% | - Annuities and perpetuities - Time value of money - Interest rates and discounting - Basic investment and cash flow concepts |
Question 1
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.
Question 2
Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula
Apply the iteration formula to determine the value of the root.
A. 4.40
B. 0.54
C. 5.53
D. 1.54
Question 3
Identify which of the following statements are true.
I.Skewness measures how peaked a set of data is
II.Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode IV. The value of a measure of skewness can be positive, zero or negative.
A. I and II only
B. I and III only
C. II, III and IV only
D. II and IV only
Question 4
The distribution of test scores from a recent clinical drug study have been tabulated below.
Determine i) whether the distribution of test scores are symmetric positively skewed or negatively skewed, and ii) the sample median value.
A. i) Symmetric, ii) 4
B. i) Positively skewed, ii)
C. i) Positively skewed, ii) 3
D. i) Negatively skewed, ii) 3
Question 5
Identify which of the following statements is correct.
A continuous random variable is one that:
A. can take one of a finite number of values
B. must be approximated using a discrete random variable.
C. can take one of an infinite number of values.
D. can only take positive values.
Solutions:
| Question 1 Answer: A | Question 2 Answer: A | Question 3 Answer: D | Question 4 Answer: C | Question 5 Answer: B |
Phyllis
Sylvia
Abel
Baldwin
Buck
Dean
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