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OG12 OG15 OG16 OG17 OG18	At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?
OG18	The symbol $$\Delta$$denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6$$\Delta3\le3$$, which of the following must be true? I. 2$$\Delta$$2=0II.2$$\Delta$$2=1III. 4$$\Delta$$2=2
OG12 OG15 OG16 OG17 OG18	The average distance between the Sun and a certain planet is approximately 2.3 x $${10}^{14}$$ inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x $${10}^{4}$$ inches.)
OG17 OG18 OG19 OG20 OG2022	If$$ mn \neq 0 $$ and 25 percent of n equals $$37\frac{1}{2}$$ percent of m, what is the value of $$\frac{12n}{m}$$?
OG15 OG16 OG17 OG18	In the coordinate plane, a circle has center (2, -3) and passes through the point (5, 0). What is the area of the circle?
OG17 OG18 OG19 OG20 OG2022	Last year Joe grew 1 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?
OG16 OG17 OG18 OG19 OG20 OG2022	The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula $${c}=\frac{100,000p}{100-p}$$. According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?
OG16 OG17 OG18 OG19 OG20 OG2022	If $${x}{y}≠{0}$$ and $${x}^{2}{y}^{2}-{x}{y}={6}$$, which of the following could be y in terms of x?I.$$\frac1 {2x}$$II.$$-\frac2 x$$III $$\frac3 x$$
OG12 OG16 OG17 OG15 OG18	At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formulaN=$$20L\frac{d}{(600+s^2)}$$where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a $$\frac{1}{2}$$ mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)
OG16 OG17 OG18 OG19 OG20 OG2022	$$\sqrt{{4.8}*{10}^{9}}$$ is closest in value to
OG18 OG19 OG20 OG2022	Three printing presses, R, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take R, working alone at its constant rate, to do the same job?
OG17 OG16 OG18 OG19 OG20 OG2022	For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball?(The volume of a sphere is $$\frac{4}{3}\pi{r}^{3}$$, where r is the radius.)
OG16 OG17 OG18 OG19 OG20 OG2022	The sum of all the integers k such that -26 < k < 24 is
OG16 OG17 OG18 OG19 OG20 OG2022	The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ?
OG17 OG18 OG19 OG20 OG2022	Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 10 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
OG16 OG17 OG18 OG19 OG20 OG2022	A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?
OG15 OG16 OG17 OG18	Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
OG17 OG16 OG18 OG19 OG20 OG2022	Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders, who were not employees?
OG12 OG15 OG16 OG17 OG18	A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
OG18 OG19 OG20 OG2022	The table shows the amount budgeted and the amount spent for each of three accounts in a certain company. For which of these accounts did the amount spent differ from the amount budgeted by more than 6 percent of the amount budgeted?