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OG12 OG15 OG16 OG17 OG18 OG19 OG19 OG20 OG2022	$$(\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=$$
OG18 OG19 OG20 OG2022	The figure shown above consists of a shaded 9-sided polygon 9 unshaded isosceles triangles. For each isosceles triangle, the longest side is a side of the shaded polygon and the two sides of equal length are extensions of the two adjacent sides of the shaded polygon. What is the value of a?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, £, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If $$\frac{1}{3}$$ of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S ?I.-16II.6III.10
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $$5-\frac{6}{x}=x$$ then x has how many possible values?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of the mixture is X ?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	How many of the integers that satisfy the inequality $${\frac{(x+2)(x+3)}{x-2}}\ge{0}$$ are less than 5 ?
OG18 OG19 OG20 OG2022	Of the 150 houses in a certain development, 60 percent have air - conditioning, 50 percent have a sunporch, and 30 percent have a swimming pool. If 5 of the houses have all three of these amenities and 5 have none of them, how many of the houses have exactly two of these amenities?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The value of $$\frac{({2}^{-14}+{2}^{-15}+{2}^{-16}+{2}^{-17})}{5}$$ is how many times the value of$${2}^{-17}$$?
OG17 OG18 OG19 OG20 OG2022	In the figure above, point D is on $$\overline {AC}$$. What is the degree measure of $$\angle BAC$$?(1)The measure of $$\angle BDC$$ is 60°.(2)The degree measure of $$\angle BAC$$ is less than the degree measure of $$\angle BDC$$.
OG12 OG15 OG16 OG17 OG18	A citrus fruit grower receives $15 for each crate of oranges shipped and $18 for each crate of grapefruit shipped. How many crates of oranges did the grower ship last week?(1)Last week the number of crates of oranges that the grower shipped was 20 more than twice the number of crates of grapefruit shipped.(2)Last week the grower received a total of $38,700 from the crates of oranges and grapefruit shipped.
OG18 OG19 OG20 OG2022	A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint available to make the desired amount of the mixture? (1) Exactly 20 quarts of the mixture are needed. (2) Exactly 10 quarts of the yellow paint are available.
OG12 OG15 OG16 OG17 OG18	If Pat saved $600 of his earnings last month, how much did Pat earn last month?(1)Pat spent $$\frac{1}{2}$$ of his earnings last month for living expenses and saved $$\frac{1}{3}$$ of the remainder.(2)Of his earnings last month, Pat paid twice as much in taxes as he saved.
OG15 OG16 OG17 OG18	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.
OG16 OG17 OG18 OG19 OG20 OG2022	Each of the marbles in a jar is either red or white or blue. If one marble is to be selected at random from the jar, what is the probability that the marble will be blue?(1) There are a total of 24 marbles in the jar, 8 of which are red.(2) The probability that the marble selected will be white is $$\frac{1}{2}$$.
OG18 OG19 OG20 OG2022	In the figure above, what is the value of z? (1) x=y=1 (2)w=2
OG12 OG15 OG16 OG17 OG18	Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?(1)The amount of water initially in the tank is 200 gallons.(2)Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $${2}\frac1 2$$ minutes.
OG16 OG17 OG18 OG19 OG20 OG2022	What is the value of 10 percent of y?(1) 5 percent of y is 60.(2) y is 80 percent of 1,500.
OG15 OG16 OG17 OG18	What is the cube root of w ?(1)The 5th root of w is 64.(2)The 15th root of w is 4.
OG16 OG17 OG18 OG19 OG20 OG2022	If sequence S has 120 terms, what is the 105th term of S?(1) The first term of S is −8.(2) Each term of S after the first term is 10 more than the preceding term.
OG15 OG16 OG17 OG18	The number of seats in the first row of an auditorium is 18 and the number of seats in each row thereafter is 2 more than in the previous row. What is the total number of seats in the rows of the auditorium?(1) The number of rows of seats in the auditorium is 27.(2) The number of seats in the last row is 70.