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题目内容
How many three-digit positive integers are there such that the sum of the digits is 3?


In the figure above, OP = OQ and QS = 4RS. If △OPQ and △QRS have equal area, what are the coordinates of point R?
A certain type of material has a mass of 2.5 grams per cubic centimeter. A bar of this material in the shape of a rectangular solid has a mass of 800 grams. If the bar is 3 centimeters wide and is 3 times as long as it is high, approximately how many centimeters high is the bar?
In a certain town, the median daily noon temperature for a 7-day period was less than 60°F. In the town, which of the following could be the total number of days during the 7-day period on which the daily noon temperature was less than 60°F?

Indicate all such numbers.
Which of the following is an assumption on which the argument depends?


Quantity A

The area of the triangular region

Quantity B

9
The figure shows two concentric circles, each with center O. The larger circle has radius 3r, and the smaller circle has radius 2r.



Quantity A

The area of the smaller circular region

Quantity B

The area of the shaded region


Two shaded square regions, including their edges, are shown above in the xy -plane and are labeled I and II, respectively. P is the set of all possible slopes of line segments ST, where point S is in region I and point T is in region II.

Quantity A

The greatest member of set P

Quantity B

$$\frac{3}{2}$$
The terms $$a_n$$ of a certain sequence are defined by $$a_n=\frac{3}{n(n+1)}$$ for all integers $$n \geq 1$$.

Quantity A

The sum of the first 100,000 terms of the sequence

Quantity B

3
Of the people in a debating club, 42 percent are more than 55 years old and 68 percent are married.

Quantity A

The percent of the people in the club who are both more than 55 years old and married

Quantity B

26%

Quantity A

The number of different positive 4-digit integers in which two of the digits are equal to 5 and the other two digits are equal to 7

Quantity B

6
On each side of a parade route, spectators occupy a sidewalk that is 10 feet wide and 1.5 miles long. The parade organizers estimate that the average amount of sidewalk space occupied per spectator is 6 square feet. Based on this estimate, which of the following is closest to the total number of spectators occupying the two sidewalks? (1 mile = 5,280 feet)
The average (arithmetic mean) of 6 measurements is n. When a statistician discards one of the measurements, the average of the remaining measurements is n-2. What is the value of the discarded measurement, in terms of n?
In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
Three different television models—$$K$$, $$N$$, and $$P$$—are for sale at a local store. The cost of model $$K$$ is $$20$$ percent greater than the cost of model $$N$$, and the cost of model $$N$$ is $$25$$ percent greater than the cost of model $$P$$. The cost of model $$K$$ is what percent greater than the cost of model $$P$$?
If 50 percent of the calls received during the week about subscription cancellations were received on Friday, approximately what percent of the calls received on Friday were calls about subscription cancellations?
During the week shown, what is the least possible number of days on which the business could have received one or more calls about service issues?
If a circle graph is to be drawn to show the distribution of the numbers of calls received per day for the week shown, what will be the degree measure of the central angle of the sector representing Thursday?

Give your answer to the nearest degree.

_____degrees
The function f is defined by $$f(x)=\frac{2}{x-2}+\frac{3}{x+2}$$ for all numbers x, where x ≠ 2 and x ≠ -2. If f(x) = 0, what is the value of x?

Give your answer as a decimal.

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