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OG21 OG2022
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In the figure above, ABCD is a parallelogram and E is the midpoint of side AD. The area of triangular region ABE is what fraction of the area of quadrilateral region BCDE?
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190407
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f(m,n)=$$(-1)^{m}$$$$\frac{n}{2m+n}$$,g(n)=min{f(1,n),f(2,n),f(3,n)}.当n = 1,2,3时，g(n)的最大值是多少？
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KMFDS
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If (y+3)(y-1) - (y-2)(y-1) = r(y-1), what is the value of y?(1) $${r}^{2}={25}$$(2) r = 5
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Magoosh
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If k is an integer, what is the value of k?(1) $$\frac{1}{5}$$$$\lt$$$${1}\over{k-1}$$$$\lt$$$$\frac{1}{2}$$(2) 3$$\lt$$$${k+3}\over{2}$$$$\lt$$5
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190215
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$$\frac{2\sqrt{3}-2}{\sqrt{3}-2}$$=?
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OG18-数学分册
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2x + 2y = -44x + y = 1 In the system of equations above, what is the value of x?
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Ready4
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A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to truck sales in 1996?
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OG18-数学分册
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A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
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PREP07 Test 1
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A certain junior class has 1,000 students and a certain senior class has 800 students.Among these students, there are 60 sibling pairs, each consisting of 1 junior and 1 senior.If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
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190310
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A, B is independent of each other. The probability of occurrence of event A is 1/3, and that of event B is 1/2. What is the probability that only A or B will happen?
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200301
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The cone has 4 sides (similar to 4-sided dice). The numbers on it are 1, 2, 3, 4 and now toss it twice. What is the probability that the sum of the two numbers is a multiple of 3?
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The sequence $${a}_{1}$$, $${a}_{2}$$, ..., $${a}_{n}$$, ... is such that $${a}_{n}=4a_{n-1}-{3}$$ for all integers $$n > 1$$. If $${a}_{3}={x}$$, then $${a}_{1}$$ =
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If $$x >1$$ and $$y >1$$, is $$x<{y}$$?(1)$$\frac{x^2}{xy+x}<{1}$$(2) $$\frac{xy}{y^2-y}<{1}$$
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Magoosh
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If wxyz ≠$$\neq$$0, does wxyz = 1?(1) w = $$\frac{1}{x}$$ , y = $$\frac{1}{z}$$(2) w$$x^2$$ = $$1\over{xyz}$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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if $$\frac{1}{x}-\frac{1}{x+1}=\frac{1}{x+4}$$ then x could be
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PREP07 Test 2
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Is x + y < 1 ?(1) x <$$\frac{8}{9}$$(2) y < $$\frac{1}{8}$$
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PREP07 Test 2
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 On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the least possible distance between any two of the tick marks?
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OG18-数学分册
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Stephan has $$2\frac{1}{4} $$ cups of milk on hand and makes 2 batches of cookies, using $$\frac{2}{3}$$ cup of milk for each batch of cookies. Which of the following describes the amount of milk remaining after she makes the cookies?
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 The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has the probability $$\frac1 2$$ of passing through the opening immediately to the left of that peg and probability $$\frac1 2$$ of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end in Cell 2?
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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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