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Magoosh	In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30?Statement #1: point B has an x-coordinate of 4Statement #2: quadrilateral ABCD is a parallelogram
OG18-定量推理	In the xy-plane shown, the shaded region consists of all points that lie above the graph of $$y = x^{2} - 4x$$ and below the x- axis. Does the point (a,b) (not show ) lie in the shaded region if b < 0?(1) 0 < a < 4(2) $$a^{2} - 4a < b$$
几何	In the figure above, the area of square region PRTV is 81, and the ratio of the area of square region XSTU to the area of square region PQXW is 1 to 4. What is the length of segment RS?
应用题	A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?(1) $$\frac{3}{4}$$ of the people attended both sessions.(2) $$\frac{7}{8}$$ of the people attended the afternoon session.
OG19-定量推理	How many members of a certain legislature voted against the measure to raise their salaries? (1) $$\frac{1}{4}$$of the members of the legislature did not vote on the measure. (2) If 5 additional members of the legislature had voted against the measure, then the fraction of members of the legislature voting against the measure would have been $$\frac{1}{3}$$.
OG12 OG15 OG16 OG17	On a company-sponsored cruise, $$\frac2 3$$ of the passengers were company employees and the remaining passengers were their guests. If $$\frac3 4$$ of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers?(1)There were 690 passengers on the cruise.(2)There were 230 passengers who were guests of the company employees.
OG12	Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?
OG17 OG18 OG19 OG20 OG2022	The table shows the numbers of packages shipped daily by each of five companies during a 4-day period. The standard deviation of the numbers of packages shipped daily during the period was greatest for which of the five companies?
OG20 OG2022	A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid? 1.L, W, and H are in the ratios of 5:3:4. 2.x = 5, y = 10, z = 20
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?(1)The area of square region B is 9.(2)The area of square region C is $$\frac{64}{9}$$
300难题	The figure above shows some of the dimensions of a triangular plaza with an L-shaped walk along two of its edges. If the width of the walk is 4 feet and the total area of the plaza and walk together is 10,800 square feet, what is the value of x ?
	For many years, theoretical economists characterized humans as rational beings relentlessly bent on maximizing purely selfish reward. Results of an experimental economics study appear to contradict this view, however. In the ""Ultimatum Game,"" two subjects, who cannot exchange information, are placed in separate rooms. One is randomly chosen to propose how a sum of money, known to both, should be shared between them; only one offer, which must be accepted or rejected without negotiation, is allowed.If, in fact, people are selfish and rational, then the proposer should offer the smallest possible share, while the responder should accept any offer, no matter how small: after all, even [hl:4][hl:3][hl:2][hl:1]one dollar[/hl:1][/hl:2][/hl:3][/hl:4] is better than nothing. In numerous trials, however, two-thirds of the offers made were between 40 and 50 percent; only 4 percent were less than 20 percent. Among responders, more than half who were offered less than 20 percent rejected the offer. Behavior in the game did not appreciably depend on the players' sex, age, or education. Nor did the amount of money involved play a significant role: for instance, in trials of the game that were conducted in Indonesia, the sum to be shared was as much as three times the subjects' average monthly income, and still responders refused offers that they deemed too small.
OG17 OG18	At XYZ Inc., an employee receives a verbal warning upon accumulating at least 3 unexcused absences within any 365-day period and a written reprimand upon accumulating at least 4 such absences. For any single 8-hour workday, missing between 10 minutes and 2 hours of work counts as one-third of an absence, missing between 2 hours and 4 hours of work counts as half an absence, and missing more than 4 hours counts as a full absence. However, an employee may stay late to make up for up to 1 hour of an unexcused absence on the same day.The table contains descriptions of the unexcused absences of 5 employees of XYZ Inc. Assume that in each case the employee had no other unexcused absences and made up no other time. In the table, select a description of an employee who qualified for a verbal warning but not a written reprimand, and select a description of an employee who qualified for a written reprimand. Make only two selections, one in each column.
Ready4	The weights of all dishes of type $X$ are exactly the same, and the weights of all dishes of type $Y$ are exactly the same. Is the weight of 1 dish of type $X$ less than the weight of 1 dish of type $Y$ ? (1) The total weight of 3 dishes of type $X$ and 2 dishes of type $Y$ is less than the total weight of 2 dishes of type $X$ and 4 dishes of type $Y$ . (2) The total weight of 4 dishes of type $X$ and 3 dishes of type $Y$ is less than the total weight of 3 dishes of type $X$ and 4 dishes of type $Y$ .
200301	There is a rectangular box, with a length of 4, a width of 4, and a height of 1. At present, there are two kinds of small packages: spherical packaging boxes and cylindrical packaging boxes. (1) 16 identical spherical packaging boxes with a diameter of 1 can be contained in this rectangular box. (2) 16 identical cylindrical packaging boxes with a bottom-circle diameter of 1 and a height of 1 can be contained in this rectangular box. Assume that the space ratio of 16 small spherical boxes in this rectangular box is S, and the space ratio of 16 small cylindrical boxes in this rectangular box is C. Which of the following can correctly represent the relationship between S and C?
GI	The graph depicts the per-person dietary intake of foods in 4 categories for the people of Nation X for the years 1909 through 2000. A decline in consumption in all 4 categories strongly suggests an overall food shortage rather than a simple change in dietary pattern.From each drop-down menu, select the option that creates the most accurate statement about food consumption in Nation X based on the information provided.The graph suggests that Nation X most likely experienced a food shortage shortly before the year {0}.For the year that the total dietary intake of carbohydrates was lowest, the per-person intake of carbohydrates was approximately {1} times the per-person intake of dietary fiber.
Ready4	$A=\{2,3,x,y\}$ $B=\{x,y,5,6,7\}$ Two integers will be randomly selected, one integer from set $A$ and one integer from set $B$ . What is the probability that the sum of the two integers will equal $7$ ? (1) $x=3$ (2) $y=<font color='#FE8080'>4</font>$
Ready4	If $2$ different houses are to be selected at random from a group of $12$ houses on a street and if $p$ is the probability that both houses selected will have even address numbers, is $p < \frac{1}{2}$ ? (1) More than $\frac{1}{2}$ of the $12$ houses have even numbers. (2) The probability that both houses selected will have odd numbers is less than $\frac{1}{<font color='#FE8080'>4</font>}$ .
Ready4	In the coordinate plane, point $(x, y)$ lies on a circle with center at the origin. What is the value of $x^{2} + y^{2}$ ? (1) The point $(-<font color='#FE8080'>4</font>,-5)$ lies on the circle. (2) The circle has radius $\sqrt{41}$ .
Ready4	A line in the $xy$ -coordinate plane passes through the points $P(0,2)$ and $Q(8,-6)$ . Does this line pass through point $R$ ? (1) The coordinates of point $R$ are $(<font color='#FE8080'>4</font>,-2)$ (2) Point $R$ is equidistant from points $P$ and $Q$