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$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
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OG18-数学分册
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$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
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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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PREP07 Test 1
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 If m lies between the integers p and s on the number line shown, which of the following is a possible value for m?
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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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$$({\sqrt{{7}+\sqrt{48}}+\sqrt{{7}-\sqrt{48}}})^{2}$$
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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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190407
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$$\frac{4}{(\sqrt{5}-1)(\sqrt{5}+1)}$$=?
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To make a certain type of ale, a brewery must mix enzymes, flax, and barley in the proportion 3:5:7 by volume. What is the largest amount in cubic meters of this mixture the brewery can obtain with one cubic meter of enzymes?
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Manhattan
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If$$ 9^{2x + 1} = 27^{2}$$, then x =
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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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191020
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$$\frac { 1 } { 1 + 2 + 3 + 4 } + \frac { 1 } { 1 + 2 + 3 + 4 + 5 } + \ldots \ldots \frac { 1 } { 1 + 2 + 3 + \ldots + 99 } = ?$$
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190113
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If x+y=u, and x-y=v, xy=?
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 If the area of rectangle ABCD is $$4\sqrt3$$, then what is the area of the square DEFG?
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PREP07 Test 1
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A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
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Manhattan
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Given that a is the average (arithmetic mean) of the first nine positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?
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190321
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In the rectangle ABCD, E,F,G and H are the midpoints of each side, BC=x, CD=y. How to express the shaded area with x and y?
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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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191222
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If 5x-y=59, and y is an integer from 1 to 18, inclusive. What is the probability that x is also an integer?
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$$\sqrt{{2\sqrt{63}}+{\frac2 {8+3\sqrt7}}}$$
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