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Last Updated: Sep 04, 2026
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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Introduction to Actuarial Concepts | 10% | - Basic actuarial applications - Overview of actuarial work and risk management |
| Topic 2: Fundamental Mathematics | 30% | - Numerical methods - Sequences and series - Mathematical constants and standard functions - Differential and integral calculus - Algebra, equations and inequalities |
| Topic 3: Financial Mathematics Basics | 20% | - Annuities and perpetuities - Interest rates and discounting - Time value of money - Basic investment and cash flow concepts |
| Topic 4: Probability and Statistics | 40% | - Data presentation and analysis - Statistical inference and hypothesis testing - Measures of location, dispersion and correlation - Discrete and continuous probability distributions - Basic probability theory |
Question 1
Identify which of the following statements is not true about the probability density function of a continuous random variable.
A. It could be greater than 1.
B. Differentiating it gives the cumulative distribution function.
C. It must be non-negative.
D. Integrating it across its domain must produce an answer of 1.
Question 2
Multiplythe following two matrices together.
A)
B)
C)
D)
A. Option C
B. Option B
C. Option D
D. Option A
Question 3
Identify which of the following values is represented by:
A. The total area under the graph of f(x) between A and B.
B. The average gradient off(x) between A and B.
C. The change in the gradient off(x) between A and B.
D. The total increase in the value of f(x) between A and B.
Question 4
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. I only
B. III only
C. I and II only
D. II and IV only
Question 5
Identify which of the following statements is not true.
A. The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
B. The variance is the square of the standard deviation.
C. The skewness is a measure of the asymmetry of a probability distribution about the mean.
D. The coefficient of skewness for a symmetric distribution is 1.
Solutions:
| Question 1 Answer: A | Question 2 Answer: A | Question 3 Answer: A | Question 4 Answer: A | Question 5 Answer: A |
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