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OG12 OG15 OG16
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If x, y, and z are positive integers, is x - y odd?(1)$$x = z^2$$(2)$$y = (z-1)^2$$
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OG12 OG15 OG16
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 If arc PQR above is a semicircle, what is the length of diameter $$\overline{PR}$$ ?(1)a = 4(2)b = 1
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OG12
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What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular Box X ?(1)When Box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer.(2)The inside dimensions of Box X are 60 centimeters by 30 centimeters by 20 centimeters.
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OG12 OG15 OG16 OG17 OG18
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Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?(1)Her gross weekly pay is currently $225.00.(2)An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.
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OG12 OG15 OG16 OG17
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d = 0.43t7If t denotes the thousandths digit in the decimal representation of d above, what digit is t ?(1)If d were rounded to the nearest hundredth, the result would be 0.44.(2)If d were rounded to the nearest thousandth, the result would be 0.436.
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OG12 OG15 OG16 OG17 OG18
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In a random sample of 80 adults, how many are college graduates?(1)In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates.(2)In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.
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OG12
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 The figure above shows the circular cross section of a concrete water pipe. If the inside radius of the pipe is r feet and the outside radius of the pipe is t feet, what is the value of r ?(1)The ratio of t - r to r is 0.15 and t - r is equal to 0.3 foot.(2)The area of the concrete in the cross section is 1.29π square feet.
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OG12 OG15 OG16 OG17
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Robots X, Y, and Z each assemble components at their respective constant rates. If $${r}_{x}$$ is the ratio of Robot X's constant rate to Robot Z's constant rate and $${r}_{y}$$ is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?(1)$${r}_{x}<{r}_{y}$$(2)$${r}_{y}< 1$$
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OG12
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(n-x)+(n-y)+(n-z)+(n-k)What is the value of the expression above?(1)The average (arithmetic mean) of x, y, z, and k is n.(2)x, y, z, and k are consecutive integers.
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OG12 OG15 OG16 OG17 OG18
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If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ?(1)There are 10,000 more students in School District M than there are in School District P.(2)The ratio of the number of teachers to the number of students in School District M is 1 to 20.
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OG12 OG15 OG16 OG17
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Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?(1)Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes.(2)Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.
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OG19-数学分册
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The sequence $${a}_{1}$$, $${a}_{2}$$, $${a}_{n}$$, such that $${a}_{n}={2a}_{n-1}-{x}$$ for all positive integers $$n \ge 2$$ and for certain number x. If $${a}_{5}={99}$$ and $${a}_{3}={27}$$, what is the value of x?
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If $${x}≠{0}$$, then $$({x}+\frac1 x)^{2}-({x}-\frac1 x)^{2}=$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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The sum of all the integers k such that -26 < k < 24 is
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A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet?
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应用题
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150, 200, 250, n. Which of the following could be the median of the 4 integers listed above?I.175II.215III.235
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In 1995 a certain store had 1,800 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $40 each and the remaining 800 were sold in 1996 for $50 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
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A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long. If the weight of each piece is proportional to its length, how many meters long is the other piece of wire?
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OG17
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If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
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$${99},{999}^{2}-{1}^{2}=$$
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