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190415 还原机经选题: 数论&代数
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m,n,k are integers.$$\frac{9}{10}$$ < $$\frac{1}{n}$$+$$\frac{1}{m}$$+$$\frac{1}{k}$$ < 1. Is m+n+k > 11？
1：n=2, m=3
2：k=7
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OG12 OG15
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$${1}-(\frac{1}{2}-\frac{2}{3})=$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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If (1 – 1.25)N = 1, then N =
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190215
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The standard deviation of the five numbers s,t,u,v,w is d. Which of the following series has the same deviation?
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190321
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In a rectangular coordinate system, lines r and h both pass through the point (1,-1). The product of the slope of line r and line h is -1. The x-intercept of line r is 3. What is the vertical intercept of line h?
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190321
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$$\frac{1}{16^x+16^{-x}}$$=?
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200301 还原机经选题: 数论&代数
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If x and y are all real numbers，is x > 1？
1.x*$$\sqrt{y}$$ >1
2.$$\sqrt{x}$$*y < 1
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A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
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Manhattan
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What is the slope of the line represented by the equation x + 2y = 1?
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OG21 OG2022
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If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? （1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams）
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190124
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$$B_n$$=$$A_{n+1}$$-$$A_n$$,$$B_{n+1}$$-$$B_n$$=2.$$A_10$$=?
1：$$A_1$$=1,$$A_3$$=3
2：$$A_2$$=2,$$A_4$$=4
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Magoosh
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If$$\frac{1}{x} = 0.4$$, then $${1}\over{x+2} =$$
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Magoosh
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If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?
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OG19-数学分册
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Of all the students in a certain dormitory, $$\frac{1}{2}$$ are first year students and the rest are second-year students. !f $$\frac{4}{5}$$ of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are· second-year students who have not declared a major?
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Of the following, which is the closest approximation of $$\frac{0.52\times0.49}{1.998}$$
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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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OG12
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Of the following, which is the closest approximation of $${50.2}*\frac{0.49}{199.8}$$
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OG12
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If $$\frac{1}{2}$$ of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes?
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PREP07 Test 1
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At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?
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What is the value of $$({u}-{1})^{3}$$ if $${u}=\frac{6}{7}+\frac{18}{21}-\frac{12}{14}$$
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