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The degree measure of each angle of a regular polygon with n sides is between 100 and 130. Which of the following could be the value of n?

Indicate all such integers.
A bag contains 6 blue marbles and 10 red marbles. Two marbles will be selected at random from the bag, one at a time and without replacement. What is the probability that one of the selected marbles will be blue and one of the selected marbles will be red?
Give your answer as a decimal.
k and n are both positive even integers

Quantity A

The remainder when $$k^{2}$$ +n is divided by 2

Quantity B

The remainder when $$k^{n}$$ is divided by 2


What is the units digit of $$2^{2222}$$?
How many integer values of n satisfy the inequality | 3-n | ≤ 4 ?

Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3


Quantity A

$$\frac{111}{1,111}$$

Quantity B

$$\frac{1,111}{11,111}$$



Quantity A

$$x+y$$

Quantity B

$$\sqrt{(x^2+y^2)}$$




The boxplot above summarizes a list of 240 numbers. Which of the following statements must be true?

Indicate all such expressions.
In the distribution of measurements of the variable x, the mean is 56 and the measurement r lies between the 65th and 70th percentiles. In the distribution of measurements of the variable y, the mean is 56 and the measurement t lies between the 75th and 80th percentiles.

Quantity A

r

Quantity B

t




$$0 \lt a \lt b \lt 1$$

$$c$$ and $$d$$ are positive integers such that $$c \lt d$$

Quantity A

$$a^{c-d}$$

Quantity B

$$b^{d-c}$$


n=1234567891011.........499500

The digits of the integer n above are the digits of the integers from 1 to 500 written in consecutive order. How many digits does n have?
a is a positive integer.

x is the remainder when 15a is divided by 6

Quantity A

x

Quantity B

2


x and y are prime numbers

x+y is odd

x < y

Quantity A

x

Quantity B

3


Quantity A

The number of different prime factors of 12

Quantity B

The number of different prime factors of 9


x ≠ -1 and x ≠ 0

Quantity A

$$\frac{1}{1+\frac{1}{x}}$$

Quantity B

$$\frac{x}{x+1}$$


If x and y are positive numbers and the ratio of x to y is 5 to 4, which of the following ratios must be equal to 6 to 5?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

_____hours
On a trip, Marie drove the first half of the distance at an average speed of 30 miles per hour for a total of 13 hours of driving, and Juanita will drive the second half of the trip. They scheduled t hours driving for the entire distance. If they are to arrive exactly on schedule, at what average speed must Juanita drive the second half of the distance?


In the figure above. O is the center of the circle. If minor arc AB has length 2π, what is the area of triangular region AOB?

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