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How many positive three-digit odd integers less than 800 have a tens digit equal to 2?
Given 14 consecutive integers, if the sum of the first 7 integers is S, what is the sum of the other 7 integers, in terms of S?


The frequency distribution above shows the number of colleges visited by a sample of students. If the median of the numbers of colleges visited is 3, which of the following could be the value of x?

Indicate all such values.


An experiment has five possible outcomes -- A, B, C, D, and E. The table shows the probabilities of three of the five outcomes. The probability of outcome C is twice the probability of outcome E.

Quantity A

The probability of outcome E

Quantity B

$$\frac{1}{9}$$


The five points (0, 2), (2, 3), (4, 2), (3, 4), and (5, 0) lie on the graph of the function y=f(x) in the xy -plane. What is the value of 3f(2)+1?
Today is Willy and Jake's birthday. Willy is 6 years older than Jake. On their birthday 4 years from today, Willy's age will be twice Jake's age. What will Jake's age be on his birthday 4 years from today?


Three circles with radii of the same length have centers B, C, and D, respectively. The cirlces with centers B and D are tangent to each other at C.

Quantity A

The area of the shaded region

Quantity B

The sum of the areas of the unshaded regions inside the circle


The length and width of rectangle R are x and y, respectively, and the diagonal of R has length 12.

Quantity A

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

Quantity B

144




If the responses summarized in the table represent an 80 percent return from the total number of departments receiving the survey questionnaire, how many departments received the survey questionnaire?
Evelyn owns two different properties with areas of 1.5 acres and 0.5 acre, respectively. What is the total area, in square feet, of the two properties combined? (1 acre = 4,840 square yards, 1 yard = 3 feet)
x ≠ 0

Quantity A

The average (arithmetic mean) of the numbers x, -x, and |x|

Quantity B

x





It can be inferred from the passage that the Chinese emperor and the bureaucracy differed with respect to the

Quantity A

The length of the fourth side of a quadrilateral if the length of each of the other three sides is 3

Quantity B

3


$$x$$, $$y$$, and $$z$$ are positive integers and $$x+y=z$$.

Quantity A

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

Quantity B

$$\frac{z}{2}$$




S equals the area of a square region (not shown) with sides of length 2x.

Quantity A

The area of the region enclosed by the pentagon shown

Quantity B

$$\frac{7}{2}S$$


In a poll of 200 people who answered either yes or no to each of two questions, 170 people answered yes to the first question and 10 people answered yes to the second question. Which of the following could be the number of people polled who answered no to both questions?

Indicate all such numbers.
In the xy-plane, the point $$(t, t-1)$$ lies on the line with equation $$y=-\frac{1}{2} x +\frac{1}{3}$$. What is the value of $$t$$?

Give your answer as a fraction.
An alumnus contributed $50,000 to a university for research. The university deposited the money in a new account at an annual interest rate of 10 percent, compounded annually, for 2 years. If 60 percent of the interest earned from this account was then withdrawn, what was the total amount left in the account?
The area of a circle with radius $$c$$ is less than the area of a square with sides of length $$kc$$. Which of the following could be the value of $$k$$?

Indicate all such values.


Of the employees in the 2001 workforce who were hired in 1997, 40 percent were hired to fill positions in a new subdivision of Company I. Approximately how many of the employees in the 2001 workforce were hired in 1997 to fill positions in the new subdivision?

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