Actuary Certification Financial Mathematics 2 — Questions and Answers
Question 1: What is the greatest common factor of 24 and 36?
- 12 (Correct answer)
- 6
- 8
- 4
Correct answer: 12
Factors of 24: 1,2,3,4,6,8,12,24. Factors of 36: 1,2,3,4,6,9,12,18,36. GCF = 12.
Question 2: What is the value of |−7|?
- 7 (Correct answer)
- -7
- 0
- 14
Correct answer: 7
Absolute value represents distance from zero, which is always positive. |−7| = 7.
Question 3: What type of number is √2?
- Irrational (Correct answer)
- Rational
- Integer
- Whole
Correct answer: Irrational
√2 cannot be expressed as a fraction of integers, making it irrational. Its decimal expansion never terminates or repeats.
Question 4: What is the perimeter of a rectangle with length 8 and width 5?
- 26 (Correct answer)
- 40
- 13
- 80
Correct answer: 26
Perimeter = 2(length + width) = 2(8 + 5) = 2(13) = 26.
Question 5: What is the median of: 3, 7, 2, 9, 5?
- 5 (Correct answer)
- 7
- 3
- 9
Correct answer: 5
Arrange in order: 2, 3, 5, 7, 9. The middle value is 5.
Question 6: If f(x) = x² + 3, what is f(4)?
- 19 (Correct answer)
- 16
- 12
- 7
Correct answer: 19
f(4) = 4² + 3 = 16 + 3 = 19.
Actuary Certification Financial Mathematics 2
What is the greatest common factor of 24 and 36?