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题目内容
$$P$$ and $$Q$$ are regular polygons with $$n$$ sides and $$n+1$$ sides, respectively.

Quantity A

The median of the $$2n+1$$ measures of the interior angles of $$P$$ and $$Q$$

Quantity B

$$(\frac{n-1}{n+1})180°$$
$$x=(a+b)^2$$

$$y=(a-b)^2$$

$$z=a^2+b^2$$

If $$a < 0$$ and $$b > 0$$, which of the following must be true?
Line l passes through point (3, 1) and (6, 4). Line m is parallel to line l and has an x-intercept of -2.

Quantity A

The y-intercept of line m

Quantity B

The y-intercept of line l
The standard deviation of $$x$$, $$y$$, and $$z$$ is $$d$$.

Quantity A

The standard deviation of $$x+1$$, $$y+1$$, and $$z+1$$

Quantity B

$$d+1$$
If $$k$$ is an integer greater than 3, then $$\frac{k!}{(k-3)!}$$=
What percent of all the integers between 1 and 2,000, inclusive, are squares of an integer?


In the xy-plane shown, the x-axis represents an east-west road, the y -axis represents a north-south road, and the origin represents the intersection of the two roads. Point A and point B represent the centers of Town A and Town B, respectively, and the center of Town A is 5 kilometers north of the intersection. If the line through the origin and point B has slope $$\frac{3}{4}$$, which of the following is closest to the distance, in kilometers, between the centers of Town A and Town B?


PQRS is a parallelogram.

Quantity A

The area of the shaded triangular region

Quantity B

The sum of the areas of the two unshaded triangular regions
Integer x is the least of three consecutive integers x, y, and z. What is the sum of y and z in terms of x?
$$a_1, a_2, a_3,...............a_n,....................$$

The sequence shown is defined by $$a_{1}=10$$, $$a_{2}=100$$, and $$a_{n+1}=(a_{n})(a_{n-1})$$ for each positive integer $$n$$ greater than $$1$$. What is the least value of $$n$$ for which $$a_{n}$$ has at least 100 digits?
$$n$$ is an integer greater than 1,000.

Quantity A

The number of prime numbers that are greater than n and less than $$n+15$$

Quantity B

6
$$\sqrt{y^2}=8$$

Quantity A

$$3^{2y}$$

Quantity B

$$3^{-2y}$$
$$c < 0$$ and $$d > 0$$

Quantity A

$$|\frac{c}{d}|$$

Quantity B

$$(\frac{c}{d})^2$$
If $$4y+6 \lt -18$$, which of the following is a possible value of $$y$$?
A certain flat plot of land is in the shape of a circle. The plot consists of a circular flower garden surrounded by a grassy lawn. The total area of the plot is 113.1 square feet, and the area of the grassy lawn is 74.6 square feet. Approximately what is the diameter, in feet, of the flower garden?
In a certain experiment, the probability that event E will occur is 0.6, which is greater than than the probability that event F will occur.

Quantity A

The probability that neither E nor F will occur

Quantity B

0.5
In 2009, the price of a certain stock increased by 25 percent from May 1 to June 1 and decreased by $$n$$ percent from June 1 to July 1. If the price of the stock on July 1 was greater than the price of the stock on May 1, which of the following could be the value of $$n$$?

Indicate all such values.
Which of the following is closest to the ratio of the land area of the Earth to the water area of the Earth?
The South China Sea occupies 2,974,600 square kilometers of water area of the Pacific Ocean. Approximately what percent of the water area of the Pacific Ocean is occupied by the South China Sea?

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