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题目内容

The coordinates $$(x, y)$$ of each point in the shaded region shown in the xy -plane above satisfy which of the following inequalities?
In the xy-plane, which of the following points are in the triangular region with vertices $$(0, 0)$$, $$(3, 0)$$ and $$(3, 2)$$? Indicate all such points
Line segment $$PQ$$ is tangent to the circle at $$P$$.

Quantity A

The distance between $$Q$$ and the center of the circle

Quantity B

The length of line segment $$PQ$$


The measure of angle $$BAC$$ is greater than $$90$$ degrees.

Quantity A

The length of $$BC$$

Quantity B

$$8$$
The length of a line segment joining the midpoints of two sides of equilateral triangle $$T$$ is $$1$$. What is the length of a side of equilateral triangle $$T$$?


Quantity A

$$x$$

Quantity B

$$y$$


In the figure above, $$AD$$ and $$BD$$ are diameters of the larger and smaller circles, respectively. If $$AB=BC=CD$$ what fraction of the area of the larger circular region is shaded?
If the difference in monitor sizes accounts for $$\frac{2}{3}$$ of the difference in price between the Standard and the Deluxe model, how much of the difference in the prices of the two models is not accounted for by the difference in monitor sizes?
The price of the Deluxe Plus model is approximately what percent greater than the price of the Standard model?
In the Standard model, if the ratio of the length to the width of the rectangular monitor screen is $$4$$ to $$3$$, which of the following is closest to the area of the screen, in square inches?
If the average (arithmetic mean) of the integers from $$1$$ to $$n$$, inclusive, is equal to $$17$$, what is the value of $$n$$?
In a company, $$\frac{2}{3}$$ of the employees are women and $$\frac{1}{2}$$ of the employees are college graduates.

Quantity A

The fraction of the employees in the company who are women college graduate

Quantity B

$$\frac{1}{6}$$
Let s be the sum of the first $$500$$ positive integers. What is the value of $$2s+501$$?
If $$90$$ percent of $$x$$ equal $$72$$ percent of $$y$$, then $$y$$ is what percent greater than $$x$$?
$$n$$ is an integer.

Quantity A

$$\frac{1}{2^n}$$

Quantity B

$$\frac{1}{3^n}$$

Quantity A

The sum of the integers from $$29$$ through $$89$$

Quantity B

The sum of the integers from $$32$$ through $$90$$
If $$n$$ is an integer greater than or equal to $$0$$, what is the remainder when $$7^{4n+3}+2$$ is divided by 10?
The length of a diagonal of a certain rectangle is less than $$10$$.

Quantity A

The area of the rectangular region

Quantity B

$$50$$


Quantity A

The length of $$DE$$

Quantity B

$$34$$

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