Algebra & Functions
The solution set of 2x + 3 = 11
x = 4
The probability of flipping a fair coin and getting heads.
1/2
The type of insurance you're using when you go to the dentist.
Dental/health insurance
What does P&C stand for?
Property and Casualty
What is the next prime number after 7?
11
The sum of the roots of x2 - 7x + 12?
3 + 4 = 7
A die is rolled. Probability of getting a number greater than 4.
1/3
If you get into a car accident, this type of actuary helped price your premium.
P&C actuary
The SOA is the professional body for many actuaries in North America. What does SOA stand for?
Society of Actuaries
What is the smallest positive integer divisible by both 6 and 8?
24
If f(x) = 2x2 + 3x - 5, find f(-2).
- 7
A box has 3 red marbles and 2 blue marbles. One marble is picked. What is the probability that it is blue?
2/5
This type of actuary helps companies design and manage retirement plans.
Pension actuary
What does IFRS stand for?
International Financial Reporting Standards
A two-digit number is 4 times the sum of its digits. If you reverse the digits, it increases by 27. What is the number?
210
Simplify (x2-9)/(x2+6x+9)
(x-3)/(x+3)
Two dice are rolled. Probability the sum is 9.
4/36 = 1/9
If a hurricane strikes, this type of estimates the potential financial losses.
A catastrophe actuary
MCV, used in valuation, stands for this.
Minimum Capital Validation
What is the sum of the first 20 positive integers?
210
If f(x) = x2 + 2x, find the inverse function f-1(x).
f-1(x) = -1 ± (x + 1)1/2
A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads.
(5C3)/32 = 10/32 = 5/16
In health insurance, actuaries often use this type of table to model how long people are expected to live.
Mortality table (or life table)
What does AAA stand for?
American Academy of Actuaries
You invest $100 at 10% compound interest annually. After 3 years, how much is in the account?
$133.10