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$$OM=OA ON=OB$$

Quantity A

The length of line segment $$OC$$

Quantity B

The length of line segment $$OP$$




In order to adequately heat or cool a house, a contractor must determine the number of cubic meters of space inside the house. A floor plan of a house with two sections, $$A$$ and $$B$$, is shown above. Each section of the house has a rectangular floor and is shaped like a rectangular solid. Section $$A$$ is $$1$$ story high, section $$B$$ is $$2$$ stories high, and the distance from the floor to the ceiling for each story is $$2.7$$ meters. Disregarding the dimensions of interior walls and structures, approximately how many cubic meters of space are inside the house?


In the circle shown, point $$O$$ is the center, and the length of arc $$ABC$$ is $$12$$.

Quantity A

The area of the shaded region

Quantity B

$$144π$$


$$n$$ is an integer greater than $$1$$

Quantity A

The number of positive divisors of $$2n$$.

Quantity B

Twice the number of positive divisors of $$n$$




A triangle is inscribed in the circle with center $$O$$ as shown above. If the radius of the circle is $$5$$, what is the area of the shaded region? Give your answer to the nearest integer.
In a certain fire department, Adam works every third day, Branford works every fourth day, and Cathy works every fifth day. If all three work at the fire department today, in how many days will all three again work at the fire department on the same day?
The positive integer $$r$$ is a multiple of $$21$$.

Quantity A

The remainder when the integer $$20r$$ is divided by $$12$$

Quantity B

$$0$$


When integer $$n$$ is divided by $$8$$, the remainder is $$3$$. When integer $$n^2$$ is divided by $$8$$, the remainder is $$R$$.

Quantity A

$$R$$

Quantity B

$$1$$




$$E, F$$, and $$G$$ are midpoints of edges of the cube.

Quantity A

$$\frac{The area of triangular region EFG}{The surface area of the cube}$$

Quantity B

$$\frac{1}{6}$$


In 1995, for resident students attending public colleges in the United States, the average cost of room and board was approximately what percent of the average total cost of attending college?
For 1995, which of the following ratios is closest to the ratio of the average cost of tuition and fees for students in private colleges in the United States to the corresponding average cost for students in public colleges?
In 1995, the average cost for tuition and fees for students attending four-year private colleges in the United States was $$6$$ percent higher than the corresponding average cost in 1994. Which of the following is closest to the 1994 average cost?
Approximately how many of the employees in the 2001 workforce were hired prior to 1994?
Approximately what fraction of the employees in the 2001 workforce was hired in 1998, 1999, or 2000?
Two employees will be randomly selected from the 2001 workforce. Which of the following is closest to the probability that both employees selected will be employees who were hired in 1997?


$$P$$, $$Q$$, and $$R$$ represent Paula, Quincy, and Robert, respectively. The table shows the average annual income for 2004 for different subgroups of these three people. What is the value of $$x$$?
The arithmetic mean and standard deviation of a list of numbers are $$10.8$$ and $$0$$.

Quantity A

The range of the numbers in the list

Quantity B

$$0$$


The random variable $$W$$ is normally distributed with $$P(W\lt k)<0.6$$ and $$P(W \gt n)<0.1$$, where $$k$$ and $$n$$ are constants.

Quantity A

$$P(k\lt W\lt n)$$

Quantity B

$$0.3$$


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