A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row.  The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her.  How many such arrangements of the 6 people are possible?

In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively.  What is the volume of the solid?

The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers.  If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?

If f is the function defined for all k by f(k) = ~$\frac{k^{5}}{16}$~ , what is f(2k) in terms of f(k)?

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9?

A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a twenty-day period.  What percent of the original amount of water evaporated during this period?

If –1 < h < 0, which of the following has the greatest value?

If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?

The table above shows the number of days worked by a certain sales representative in each of three months last year.  If the number of sales calls that the representative made each month was proportional to the number of days worked in that month and if the representative made a total of 168 sales calls in the three months shown, how many sales calls did the representative make in August?

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m.  By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?