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题目内容
a ≠ 0

Quantity A

$$a^{2}-a$$

Quantity B

$$a-a^{2}$$
$$\frac{1}{x}-\frac{1}{y}=\frac{1}{xy}$$ and xy ≠ 0.

Quantity A

x

Quantity B

y
A number is to be chosen at random from the integers from 1 to 100, inclusive. What is the probability that the number chosen will be an even integer greater than 90?
What is the y-intercept of the line in the xy-plane that passes through the point (1, 2) and is parallel to the line y+2x=1?
How many whole numbers between 10 and 43 have a remainder of 5 when divided by 7?
Starting from rest, a certain car travels a distance of Q meters in t seconds, where $$Q=4t^{2}$$ and 0≤ Q ≤ 64. In how many seconds does the car travel 64 meters, starting from rest?

_____seconds
If the annual commercial energy usage for lighting is $$w$$ units of energy, which of the following is closest to the annual commercial energy usage for refrigeration, in the same units of energy?
The ratio of the total annual residential energy usage to the total annual commercial energy usage is $$x$$ to $$y$$. Which of the following represents the fraction of the total annual energy usage, both residential and commercial, that is for lighting?
The annual commercial energy usage for space cooling is approximately what percent less than the annual commercial energy usage for space heating?
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 ≥ 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%

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