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OG12 OG15 OG16	Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the difference between the sixth and the fifth terms of the sequence 2,4, 7,... whose $$n^{th}$$ term is $$n + {2}^{n-1}$$?
OG12 OG15	If $$({x}-{1})^{2}$$ = 400, which of the following could be the value of x - 5 ?
OG12 OG15	Which of the following describes all values of x for which $${1}-{x}^{2}\geq{0}$$?
OG12 OG15 OG16	The probability is $$\frac{1}{2}$$ that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
OG12 OG15 OG16	Of the final grades received by the students in acertain math course, $$\frac{1}{5}$$ are A's, $$\frac{1}{4}$$ are B's,$$\frac{1}{2}$$ are C's,and the remaining 10 grades are D's. What is the number of students in the course?
OG12 OG15	As x increases from 165 to 166, which of the following must increase?I 2x-5II $$1-\frac{1}{x}$$III $$\frac{1}{x^2-x}$$
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	From the consecutive integers -10 to 10, inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers?
OG12 OG15	A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store`s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	$${\frac{0.99999999}{1.0001}}-{\frac{0.99999991}{1.0003}}=$$
OG12 OG15 OG16	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?
OG12 OG15	If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
OG12 OG15	In the rectangular coordinate system above, the line y = x is the perpendicular bisector of segment AB (not shown), and the x-axis is the perpendicular bisector of segment BC (not shown). If the coordinates of point A are (2,3), what are the coordinates of point C ?
OG12 OG15 OG16	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, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?
OG12 OG15 OG16	If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
OG12 OG15	John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
OG12 OG15 OG16 OG17	In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R ?
OG12 OG15 OG16 OG17	Car A is 20 miles behind Car B, which is traveling in the same direction along the same route as Car A. Car A is traveling at a constant speed of 58 miles per hour and Car B is traveling at a constant speed of 50 miles per hour. How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 55 units per day, what is the value of n ?