555-605 (Medium)
A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by 1,10fewerofthetowelscouldbeboughtfor120, excluding sales tax. What is the current price of each towel?
555-605 (Medium)
A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Sub 505 (Easy)
How many minutes does it take John to type y words if he types at the rate of x words per minute?
505-555 (Easy)
An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
Sub 505 (Easy)
Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents?
Sub 505 (Easy)
A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
505-555 (Easy)
p, r, s, t, u
An arithmetic sequence is a sequence in which each term after the first term is equal to the sum of the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?
Sub 505 (Easy)
If x = -1, then (x^4 - x^3 + x^2)/(x - 1) =
Sub 505 (Easy)
If 1.5 0.2 + x = 5 , then x =
Sub 505 (Easy)
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
505-555 (Easy)
Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Sub 505 (Easy)
During a certain season, a team won 80 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Sub 505 (Easy)
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?
605-655 (Medium)
If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
Sub 505 (Easy)
What is the 25th digit to the right of the decimal point in the decimal form of 6/11?
705-805 (Hard)
Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x and Y coordinates of P, Q and R are to be integers that satisfy the inequalities -4 ≤ x ≤ 5 and 6 ≤ y ≤ 16. How many different triangles with these properties could be constructed?
Sub 505 (Easy)
If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?
655-705 (Hard)
The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Sub 505 (Easy)
If O is the center of the circle above, what fraction of the circular region is shaded?
605-655 (Medium)
If n = 4p, where p is a prime number greater than 2, how many different positive
even
divisors does n have, including n ?