MATHEMATICS

ARITHMETIC

100

What is the least common multiple (LCM) of 4 and 6?

12

200

What is the value of 3⁴?

81

300

Express 3/8 as a percentage.

37.5%

400

What is the value of 5! (5 factorial)?

120

500

What is the sum of the prime factors of $60$?  

10 

(The prime factors are 2, 3, and 5, and 2 + 3 + 5 = 10)  

ALGEBRA

100

Evaluate 2x - 3 when x = 5.

7

200

What is the slope of the line given by 

y = 3x - 4?

3

300

Expand (x + 3)(x - 3).

x² - 9

400

Solve for x: log₂(x) = 5.

x = 32

500

Factor completely: x² - 5x + 6.

(x - 2)(x - 3)

GEOMETRY

100

How many degrees are in the sum of the interior angles of a triangle?

180^o

200

What is the perimeter of a square with a side length of 6cm?

24cm

300

hat formula is used to calculate the area of a circle with radius "r"?

A = pi r²

400

What is the sum of the interior angles of a regular hexagon?

720^o

500

In trigonometry, what is sin(30^o) as an exact fraction?

1/2

CALCULUS

100

What is the derivative of a constant "c"?

0

200

What is the derivative of x² with respect to x?

2x

300

What is the derivative of sin(x)?

cos(x)

400

What is the derivative of e^3x with respect to x?

3e^3x

500

What fundamental theorem connects differentiation and integration, stating that differentiation and integration are inverse operations?

The Fundamental Theorem of Calculus

PROBABILITY

100

What is the probability of flipping a fair coin and getting heads?

1/2 or 0.5

200

What is the probability of rolling a 4 on a standard 6-sided die?

1/6

300

If a card is drawn from a standard 52-card deck, what is the probability that it is an Ace?

1/13 or 4/52

400

In how many different orders can 4 people sit in a row of 4 chairs?

24 

(4! = 4 x 3 x 2 x 1)

500

What continuous probability distribution follows a symmetric, bell-shaped curve characterized by its mean and standard deviation?

The Normal Distribution