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The figure above shows two circles with centers O and P. The measure of angle AOB is 60°, and the measure of angle APB is 120°. What is the ratio of the radius OA to the radius PA?
What percent of all the presidents and vice presidents are less than 50 years old?
Two organizations will be selected at random, one at a time and without replacement, from the 30 organizations. Approximately what is the probability that the age of the vice president of at least one of the two organizations will be at least 1 year greater than the age of the corresponding president?
For how many of the organizations does the age of the president exceed the age of the corresponding vice president by 15 years?


The two-sided stem-and-Ieaf plot shows the heights, in centimeters, of 20 players on Team A and 20 players on Team B. Each height is represented by a stem in the center and a leaf in the same row, according to the key. What is the median of the heights, in centimeters, of the 40 players combined?
Committee A is composed of 14 people and committee B is composed of 10 people. At least 6 people are members of both committees.

Quantity A

The greatest possible number of members present if the two committees meet in a joint session

Quantity B

18
$$x+\frac{1}{x}=2$$

Quantity A

$$x^{2}+\frac{1}{x^{2}}$$

Quantity B

2
2z=x+y

Quantity A

The average (arithmetic mean) of x, y and z

Quantity B

z
n is an integer greater than 1.

Quantity A

$$(n)^{-1}(n+1)^{-1}$$

Quantity B

$$(2n+1)^{-1}$$
x ≥ 2

$$\sqrt{x-2}=x-2$$

Quantity A

x

Quantity B

$$\frac{5}{2}$$


Quantity A

x

Quantity B

y+z
Which of the following is the graph of all the values of x such that |2x-1| ≤ 7?

Quantity A

$$x^{2}+(\frac{1}{x})^{2}$$

Quantity B

$$(x+\frac{1}{x})^{2}$$
M, a, and b are positive numbers.

Quantity A

$$\frac{M(a^{2}+b^{2})}{12}$$

Quantity B

$$\frac{M(a+b)^{2}}{12}$$
What is the probability that the product is an even integer when randomly multiplying two different integers from 1 to 25, inclusive?

Give your answer as a fraction.
A restaurant has a total of 18 tables. Each of the tables is occupied by either 1 or 2 people. The number of people occupying the tables is 26.

Quantity A

The number of tables occupied by only 1 person

Quantity B

9
The functions $$f$$ and $$g$$ are defined for all numbers x by $$f(x)=x^{2}$$ and $$g(x)=bx+1$$, where b is a constant and $$0 < b < 2$$. Which of the following could be the graph of $$y=f(x)+g(x)$$ in the xy-plane?
If $$x=(96$$,$$538)(701$$,$$865)$$, then $$x$$ is between?


In the square above, the side is 10, and points, P, Q, O, and R are all midpoints of each side. What is the area of the shaded region?

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