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If $${2}{x}^{2}-{y}^{2}={2}{x}{y}$$, then $$({x}+{y})^{2}=$$
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PREP07 Test 2
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For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members finished in nth place, where $$1\le n \le 5$$. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?
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OG17
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At a certain food stand, the price of each apple is ￠ 40 and the price of each orange is ￠ 60. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is ￠ 56. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is￠52?
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If |d - 9| = 2d, then d =
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排列组合
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When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?
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In a certain English class, $$\frac1 4$$ of the number of girls is equal to $$\frac1 6$$ of the total number of students. What is the ratio of the number of boys to the number of girls in the class?
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If the volume of a small container is 14,520 cubic millimeters, what is the volume of the container in cubic centimeters? (1 millimeter = 0.1 centimeter)
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 The table above gives the coffee consumption in 1994 for five countries. If the total coffee consumption of these countries was 40 percent of the world's coffee consumption, what was the world's coffee consumption, in millions of kilograms, in 1994?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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When positive integer x is divided by positive integer y, the remainder is 9. If $$\frac x y=96.12$$, what is the value of y?
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$${C}{n \choose m}=\frac{m!}{[(m-n)!n!]}$$ for nonnegative integers m and n, $$m \ge n$$. If $${C}{3 \choose 5}={C}{x \choose 5}$$ and $$x \neq 3$$, what is the value of x?
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If w, x, y, and z are integers such that 1 < w < x < y < z and wxyz = 462, then z =?
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The sum of three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?
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OG18-数学分册
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On a certain transatlantic crossing, 20 percent of a ship`s passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship`s passengers held round-trip tickets?
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If x is an integer, which of the following must be an odd integer?
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OG12
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 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.?
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How much is 20 percent of a certain number?(1)10 percent of the number is 5.(2)40 percent of twice the number is 40.
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Is it true that a > b?(1)2a>2b(2)a + c> b + c
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OG12 OG15
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In a certain class, one student is to be selected at random to read. What is the probability that a boy will read?(1)Two-thirds of the students in the class are boys.(2)Ten of the students in the class are girls.
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Is the integer k a prime number?(1)2k=6(2)$$1\lt k\lt 6$$
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OG12 OG15 OG16
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If n is an integer, is n + 1 odd?(1)n + 2 is an even integer.(2)n - 1 is an odd integer.
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