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OG15 OG16 OG17 OG18
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 In the xy-plane above, is angle QPR a right angle?(1) Points P and Q have the same x-coordinate.(2) Points P and R have the same y-coordinate.
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OG15 OG16 OG17 OG18
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If the sequence S has 300 terms, what is the 293rd term of S?(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.(2) The first term of S is -22.
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OG15 OG16 OG17
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At a certain company, a test was given to a group of men and women seeking promotions. lf the average (arithmetic mean) score for the group was 80, was the average score for the women greater than 85 ?(1) The average score for the men was less than 75.(2) The group consisted of more men than women.
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OG15 OG16 OG17 OG18 OG19 OG20
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Is the positive two-digit integer N less than 40 ?(1) The units digit of N is 6 more than the tens digit(2) N is 4 less than 4 times the units digit.
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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 In the figure above, is the area of triangular region ABC equal to the area of triangular region DBA ?(1) $$({A}{C})^{2}={2}({A}{D})^{2}$$(2)$$ \Delta $$ ABC is isosceles
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If x and y are integers, what is the value of x + y ?(1) $$3<{\frac{x+y}{2}}<4$$(2) $$2<{x}<{y}<5$$
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If x and y are integers, is x > y?(1) x+y >0(2) $${y}^{x}$$ < 0
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If r and s are the roots of the equation $${x}^{2}+{b}{x}+{c}={0}$$, where b and c are constants, is rs < 0 ?(1) b < 0(2) c < 0
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The range of the numbers in set S is x, and the range of the numbers in set Tis y. If all of the numbers in set Tare also in set S, is x greater than y ?(1) Set S consists of 7 numbers(2) Set T consists of 6 numbers
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 In the figure above, what is the value of b?(1) a + c + d = 225(2) d-a = 55
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PREP07 Test 1
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If n is an integer between 10 and 99, is n < 80 ?(1) The sum of the two digits of n is a prime number.(2) Each of the two digits of n is a prime number.
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For what percent of those tested for a certain infection was the test accurate; that is, positive for those who had the infection and negative for those who did not have the infection?(1) Of those who tested positive for the infection, $$\frac{1}{8}$$ did not have the infection.(2) Of those tested for the infection, 90 percent tested negative.
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If $$x \neq 0$$, what is the value of $$\frac{\mid{x}\mid}{x}$$?(1)$$x > 0$$(2) x = 5
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OG15 OG16 OG17 OG18 OG19
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Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?(1) The tabletop is 36 inches wide by 60 inches long.(2) The area of one side of the sheet of glass is 2,400 square inches.
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Is t greater than v ?(1) t is greater than 3.(2) v is less than 5.
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PREP07 Test 2
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Of the people who attended a workshop, 60 percent were teachers and some of the teachers were teachers of language arts. What percent of the people who attended the workshop were teachers of language arts?(1) 200 people attended the workshop.(2) 72 of the teachers who attended the workshop were not teachers of language arts.
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数论
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If p, s, and t are positive prime numbers, what is the value of $${p}^{3}{s}^{3}{t}^{3}$$ ?(1) $${p}^{3}{s}{t}={728}$$(2) t = 13
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If x and y are integers, what is the value of $${2}{x}^{6y}-{4}$$ ?(1) $${x}^{2y}={16}$$(2) xy = 4
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Is x < 0 ? (1) $${x}^{3}<{x}^{2}$$ (2) $${x}^{3}<{x}^{4}$$
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Machine M processes a certain chemical product at a constant rate. Does machine M process the product at a rate that is greater than 25 grams per second? (1 kilogram = 1,000 grams)(1) Machine M processes the product at a rate that is greater than 92 kilograms per hour.(2) Machine M processes the product at a rate that is less than 95 kilograms per hour.
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