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OG18-定量推理
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$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
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TPA
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Consider a right circular cylinder for which the following quantities are all numerically equal:the height, in meter; one-fourth of the volume, in cubic meters; the area of the circular base, in square meters.In the table, select a value for the diameter of the circular base and a value for the height, where both are measured in meters, so that the two values are jointly consistent with the information provided. Make only two selections, one in each column.
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排列组合
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A coin that is tossed will land heads or tails, and each outcome has equal probability. What is the probability that the coin will land heads at least once on two tosses?
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If a certain toy store's revenue in November was $$\frac{2}{5}$$ of its revenue in December and its revenue in January was $$\frac{1}{4}$$ of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
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KMFPS
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A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
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OG12 OG15 OG16
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A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
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OG12 OG15 OG16 OG17 OG18
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At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?
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OG12 OG15
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lf x+5>2 and x-3<7, the value of x must be between which of the following pairs of numbers?
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OG12 OG15
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$$\sqrt{16\times20+8\times32}$$ =
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OG12
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In a certain population, there are 3 times as many people aged 21 or under as there are people over 21. The ratio of those 21 or under to the total population is
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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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OG18
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The quotient when a certain number is divide by $$\frac{2}{3} is \frac{9}{2}$$. What is the number?
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OG16 OG17 OG18 OG19 OG20 OG2022
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If 2x + y = 7 and x + 2y = 5, then $$\frac{x+y}{3}=$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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 Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
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OG19 OG20 OG2022
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The quotient when a certain number is divided by $$\frac{2}{3}$$ is $$\frac{9}{2}$$ . What is the number ?
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OG16 OG17 OG18 OG19 OG20 OG2022
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 In the figure above, what is the ratio of the measure of angle B to the measure of angle A?
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191031
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A square is inscribed with two same circles whose radii are all r. If r=$$\sqrt{2}$$, what is the length of the diagonal of this square?
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190321
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Is $$x^4
1:$$x^4
2.$$x^3 < y^4$$
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What is the value of x if $$\frac{{x}^{6}+{4}{x}^{5}-{x}-{4}}{{x}+{4}}=-{244}$$?
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300难题 OG20
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If n > 4, what is the value of the integer n ?
1. $$\frac{n!}{(n-3)!}$$ =$$\frac{3!n!}{4!(n-4)!}$$
2. $$\frac{n!}{3!(n-3)!}$$ +$$\frac{n!}{4!(n-4)!}$$ =$$\frac{(n+1)!}{4!(n-3)!}$$
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