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Two identical squares with sides of length $$s$$ are oriented as shown in the figure so that all the shaded triangular regions have the same area. If the sum of the areas of the shaded regions is $$A$$, what is the area of the unshaded region, in terms of $$s$$ and $$A$$?
Passwords for a certain computer consist of 5 symbols typed on a computer keyboard. Each password consists of one @ symbol, two # symbols, and two $ symbols, typed in any order. For example, @#$$# and $#$#@ are two different passwords for the computer.

Quantity A

The total number of different passwords for the computer

Quantity B

30


This morning Tom visited 6 Internet sites, and Andrew visited 8 Internet sites. The table shows the time, in minutes, spent visiting each site.

Quantity A

The standard deviation of the 6 times shown for Tom

Quantity B

The standard deviation of the 8 times shown for Andrew
At a certain dealership, $$\frac{2}{5}$$ of the trucks have four-wheel drive, and $$\frac{1}{3}$$ of the vehicles that have four-wheel drive are trucks. Of the vehicles that are trucks or have four-wheel drive, what fraction are trucks that have four-wheel drive?
On a bookshelf, Pat arranges 7 different books: 2 history books, 3 philosophy books, and 2 science books. If Pat arranges the books so that the history books are next to each other, the science books are next to each other, and the philosophy books are next to each other, how many different arrangements are possible?
S={1, 2, 3, 4, 5}

T={6, 7, 8, 9, 10}

Quantity A

The number of different values that can be obtained by adding a member of set S to a member of set T

Quantity B

9
Four toys-a stuffed animal, a ball, a toy car, and a doll—are to be distributed among three children—Jasmine, Katey, and Leah. If the toys are to be distributed in such a way that each child receives at least one toy, how many such distributions are possible?
How many ways can the integers 3, 4, 6, 7, and 8 be arranged using each digit only once to form a five-digit integer such that the middle digit is odd?
When $$3^{64}$$ is divided by $$8$$, what is the remainder?
If $$p$$ is an prime number greater than $$5$$, and if $$5$$ is a factor of $$p+p^{2}$$,which of the following might be the remainder when $$p$$ is divided by $$5$$?
The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip $$x$$ inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip $$x$$ inches wide is removed. For what value of $$x$$ will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)
A team of two students from an art school is to be selected to represent the school at a national event. The two students will be selected from the students in three classes that have no students in common. The three classes have 10 students, 8 students, and 7 students. If the two students must be selected from different classes, how many teams are possible?
If $$\frac{1}{2}$$ of the revenue from the sale of jazz recordings was from the sale of vocal jazz recordings, then revenue from vocal jazz recordings was approximately what fraction of revenue from all vocal recordings?
The graphs shown are drawn to scale. Which of the following is closest to the degree measure of the central angle of the sector that represents the category labeled "Other"?
If in 1995 revenue from the sale of classical music recordings was $$\frac{1}{2}$$ of its 1994 value while revenue from the sale of all other recordings shown was the same as in 1994, approximately what percent of the total 1995 revenue was from the sale of classical music recordings?
Four toys—a stuffed animal, a ball, a toy car, and a doll—are to be distributed among three children—Jasmine, Katey, and Leah. If the toys are to be distributed in such a way that each child receives at least one toy, how many such distributions are possible?
The perimeter of a certain parallelogram is 28. If the four sides of the parallelogram have equal length and if the height of the parallelogram is 2, what is the area of the region enclosed by the parallelogram?
If $$-1 \lt y \lt 0$$, which of the following must be true?
Points R, S, and T have rectangular coordinates (1, 1), (4, 5), and (5, 0), respectively.

Quantity A

RT

Quantity B

ST

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