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Ready4	If y and z are integers, what is the value of $y + z$ ? $y + z < 8$ and $y + z > 6$ . $1 < \frac{y}{2} < \frac{z}{2} < 2.5$
Ready4	What is the surface area of a certain rectangular solid? Two adjacent faces of the solid have areas 30 and 45, respectively. The volume of the solid is 270.
Ready4	In the xy-plane, region R consists of all the points (x,y) such that $5 x + 6 y \leq 30$ . Is the point (r,s) in region R? $6 r + 5 s = 30$ $r \leq 6$ and $s \leq 5$ .
Ready4	If k is a positive integer, is ${(\frac{1}{2})}^{k} > 0.125$ ? $k > 3$ ${(\frac{1}{2})}^{k - 1} < 0.25$
Ready4	If $\vec{z}$ denotes the greatest integer less than or equal to z, is $\vec{z} = 1$ ? $8 z - 1 = - 13 + 5 z$ $1 < z < 2$
Ready4	In quadrilateral ABCD above, CD is parallel to and is longer than AB. What is the area of ABCD? $E C = 75$ meters $B C = 30 \sqrt{10}$ meters
Ready4	What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate? The number of hours worked at the normal rate was $\frac{3}{4}$ of the total number of hours the employee worked. The overtime rate was $25 per hour.
Ready4	In a game, blue chips are worth a certain amount of points each, and red chips are worth a certain amount of points each. What is the total point value of 5 red chips and 3 blue chips in the game? The point value of 15 red chips and 9 blue chips is 732. The point value of a red chip is 12 less than the point value of a blue chip.
Ready4	What is the value of $x$ ? $x = 5$ $x = 5 or x = 6.$
Ready4	If the sequence S has 100 terms, what is the 7th term of S? The 93rd term of S is -100, and each term of S after the first is 7 less than the preceding term. The first term of S is 544.
Ready4	The value of an investment increased according to a variable annual rate such that its value in 2006 was 1.43 times its value in 1998. What was the value of the investment in 1998? The value was $373.80 more in 2006 than in 1998. The value of the investment was $1243.11 in 2006.
Ready4	If a certain computer program scans a total of 5,760 files when it runs, how many minutes will it take to complete the scan? The program scans 8 files per second. It takes 3 times as long to run the scan as it takes to upload the output to a server, and it takes a total of 16 minutes to do both.
Ready4	If $r_{1}$ and $r_{2}$ are the roots of the equation $t^{2} + b t + c = 0$ , where b and c are constants, are both $r_{1}$ and $r_{2}$ positive? $b < 0$ $c < 0$
Ready4	Can a circular manhole cover fit exactly into the circular recessed area of the street? The recessed area of street measures 24 inches from one side to the other through its center point. The area of the surface of the manhole cover is $144 π$ inches squared.
Ready4	In 2009, Marcos placed a total of $26,000 in 23 different investments. In 2010, he placed additional funds into two new investments. For all 25 investments, is the average (arithmetic mean) amount of money per investment less than $1,200? Each investment added in 2010 contained more than $1,000. Each investment added in 2010 contained less than $1,500.
Ready4	Women who are married sleep more soundly than women who have never married or lost a partner, according to research from an eight-year study. Furthermore, it is well established that sleeping less than six hours a night makes you 12% more likely to die prematurely than someone who sleeps up to eight hours. Therefore, getting married increases a woman's life expectancy. Which of the following, if true, does NOT strengthen the argument above?
Ready4	Archeologists have discovered ancient coins near Antioch in modern Turkey, minted by a variety of neighboring countries, that date from the time of the Roman Empire. The archaeologists have inferred that, under the rule of the Roman Empire, Antioch was transformed into a major center of trade. Which of the following would, if true, most significantly strengthen the archeologists' inference?
Ready4	Citizen: at our city's airport, we have invested time and money in security checkpoints that are a waste of time. We train and staff security staff for the purpose of searching incoming automobiles, but we search fewer than five percent of those automobiles. We might as well disband the security checkpoints. The cost is wasted, and there is a ninety-five percent chance that an illegal substance would get through the checkpoint anyway. Council member: Even if we granted that those odds didn't justify the costs--which I disagree with--you seem not to recognize that the presence of the checkpoint itself deters some people who would bring in illegal substances from doing so. The council member responds to the citizen's argument by
Ready4	A major car company experienced a drop in sales in the month following the publication of a widely read review of the latest model, which asserted the new model was of low quality. The company also received numerous complaints from consumers who had read the review. The company, nevertheless, insists that negative reactions to the review had nothing to do with the company's subsequent drop in sales. Which of the following, if true, most strongly supports the company's position?
Ready4	Elephants are one of few animal species with intelligence and a capacity for empathy similar to that of humans. They habitually bury their dead by placing sticks and leaves over a member of their herd that has died. They are not known to bury animals other than elephants, but in some cases they have mourned humans with which they had established a relationship, leading to the theory that elephants will bury other animals with which they have had a direct relationship, but only those animals. Surprisingly, however, elephants have been found to visit the burial locations of other elephants they never knew in life. Which of the following, if true, most helps to explain the surprising ﬁnding?