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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: Probability and Statistics | 40% | - Statistical inference and hypothesis testing - Basic probability theory - Measures of location, dispersion and correlation - Discrete and continuous probability distributions - Data presentation and analysis |
| Topic 3: Fundamental Mathematics | 30% | - Differential and integral calculus - Mathematical constants and standard functions - Sequences and series - Algebra, equations and inequalities - Numerical methods |
| Topic 4: Financial Mathematics Basics | 20% | - Time value of money - Basic investment and cash flow concepts - Interest rates and discounting - Annuities and perpetuities |
1. Consider the three vectors:
Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude
A) u+v
B) w
C) v
D) v-u
2. Let X be a random variable.
identify which of the following statements is correct.
A)
B)
C)
D)
A) Option A
B) Option C
C) Option D
D) Option B
3. Evaluate
A) 0
B) 
C) 
D) 
4. Calculate
A) 399.68
B) 951.84
C) 58.88
D) 337.84
5. Consider the following definite integral:
Determine for which combination of a and b the integral converges.
A)
B)
C)
D)
A) Option A
B) Option C
C) Option D
D) Option B
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: D | Question # 5 Answer: C |
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