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Answer Key
Category Number
Category
Question
Answer
Dollar Amount
1
Statistics & Probability
5
A standard deck of cards has 52 cards. What is the probability of drawing a black card?
1/2
$200
A die is rolled 6 times. What is the probability of rolling a 6 at least once?
5/6
$400
What is z- score in statistics
measure of standard deviation
$600
What is the mode of the following set of numbers: 12, 15, 18, 21, 21?
21
$800
What is the median of the following set of numbers: 12, 24, 18, 21, 15?
18
$1,000
2
Logrithms
5
If log(x) = 2, what is x?
x = 100.
$200
What is the value of log(1000)?
log(1000) = 3.
$400
If log(a) = 1 and log(b) = 2, what is log(a^2 * b^3)?
8
$600
If log(a) = 1 and log(b) = 2, what is log(a^3) + log(b^2)?
7
$800
If log(a) = 2 and log(b) = 3, what is log(a^3)?
6
$1,000
3
Equations
5
Format of a quadratic equation
ax^2 +bx + c = 0
$200
Quadratic Formula
(−b ± √(b2 − 4ac)) / 2a
$400
When the Discriminant (b2−4ac) is zero, how many solutions exist
One
$600
(x+y)(x-y)
(x+y)(x-y) = x^2 - y^2
$800
How to find the vertex of a parobola
-b / 2a
$1,000
4
Geometry
5
A square has a side length of 5 cm. What is the area of the square?
25 cm^2
$200
A triangle has a base of 10 cm and a height of 6 cm. What is the area of the triangle?
30 cm^2
$400
A pentagon has a side length of 7 cm. What is the perimeter of the pentagon?
35 cm
$600
A circle has a radius of 3 cm. What is the circumference of the circle?
9.42 cm
$800
A right triangle has a hypotenuse of 10 cm and one leg of 6 cm. What is the length of the other leg?
8 cm
$1,000
5
Conversions
5
What is the temperature in Kelvin if it is 20 degrees Celsius?
293K
$200
What is the temperature in Fahrenheit if it is 0 degrees Celsius?
32 F
$400
How many feet are in 1 mile?
5280 Feet
$600
Convert 25% to a decimal
0.25
$800
Convert 45 degrees Celsius to Fahrenheit
113F
$1,000
6
Exponents
5
What is the value of (2^3)^2?
(2^3)^2 = 2^(3*2) = 2^6 = 64
$200
What is the value of (2^4)/2^2?
(2^4)/2^2 = 2^(4-2) = 2^2 = 4
$400
What is the value of (2^-2)^3?
(2^-2)^3 = 2^(-2*3) = 2^-6 = 1/64
$600
What is the value of 2^0?
2^0 = 1
$800
What is the value of 2^(-1)?
2^(-1) = 1/2
$1,000
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