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OG12 OG15 OG16 OG17	Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 144 grams of water?
OG12 OG15 OG16 OG17	If x(2x+1)=0 and $$(x+\frac1 2)(2x-3)=0$$,then x =
OG16 OG17 OG18 OG19 OG20 OG2022	Figures X and Y above show how eight identical triangular pieces of cardboard were used to form a square and a rectangle, respectively. What is the ratio of the perimeter of X to the perimeter of Y?
OG12 OG15 OG16 OG17	On a scale that measures the intensity of a certain phenomenon, a reading of n + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
OG17 OG18 OG19 OG20 OG2022	A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median
OG16 OG17 OG18 OG19 OG20 OG2022	The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?
OG12 OG15 OG16 OG17	If T = $$\frac{5}{9}$$(K - 32), and if T = 290, then K =
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the smallest integer n for which $${25}^{n} >{5}^{12}$$ ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Each year for 4 years, a farmer increased the number of trees in a certain orchard by $$\frac{1}{4}$$ of the number of trees in the orchard the preceding year. If all of the trees thrived and there were 6,250 trees in the orchard at the end of the 4-year period, how many trees were in the orchard at the beginning of the 4-year period?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000,inclusive?
OG15 OG16 OG17	For the positive integers a, b, and k, $${a}^{k}$$ \|\| b means that $${a}^{k}$$ is a divisor of b, but $${a}^{k+1}$$ is not a divisor of b. If k is a positive integer and $${2}^{k}$$ \|\| 72, then k is equal to
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
OG16 OG17 OG18 OG19 OG20 OG2022	Four extra-large sandwiches of exactly the same size were ordered for m students, where m>4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
OG17 OG18 OG19 OG20 OG2022	Which of the following equations has 1 + $$\sqrt{2}$$ as one of its roots?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
OG16 OG17 OG18 OG19 OG20 OG2022	In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
OG17	At a certain food stand, the price of each apple is ￠ 40 and the price of each orange is ￠ 60. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is ￠ 56. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is￠52?