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OG17 OG18 OG19 OG20 OG2022
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A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
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PREP07 Test 1
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A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
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PREP07 Test 2
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A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
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191222
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There are ten cards marked with the numbers from 1 to 10 respectively. Draw two out of ten cards and never put them back. What's the probability that the sum of the two numbers on the two cards drawn is less than the average of the ten cards?
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Magoosh
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If$${(\frac{1}{x}+x)}^{2}=16$$,then $${{1}\over{x^{2}}}+x^{2}=$$
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181215
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How many solutions does the equation $$\frac{x^{2}-1}{x-1}$$=0 have?
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190215
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How many solutions to equation (x + 1) (x-2) + (x + 1) (x-4) = 0?
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OG19-数学分册
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As shown in the diagram above, a lever resting on a fulcrum has weights of $$w_{1}$$ pounds and $$w_{2}$$ pounds, located $$d_{1}$$ feet and $$d_{2}$$ feet from the fulcrum. The lever is balanced and $$w_{1}$$ $$d_{1}$$ = $$w_{2}$$ $$d_{2}$$• Suppose $$w_{1}$$ is 50 pounds and $$w_{2}$$ is 30 pounds. If $$d_{1}$$ is 4 feet less than $$d_{2}$$, what is $$d_{2}$$, in feet?
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Ready4
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If  , is  ?
(1) 
(2) 
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What is the value of u?1.$$\frac{7}{u}-{4}={10}$$2.$$\frac{32}{16}=\frac{1}{u}$$
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190215
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Is $$x^{4}$$ < $$x^{2}y^{2}$$ ?
1：$$x^{2}$$ < $$\frac{1}{4}$$
2：$$x^{2}$$ < $$\frac{x}{4}$$
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Magoosh
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What is the value of k?(1)$$ k^4 = \frac{1}{625}$$(2)$${ k^3} < k^2$$
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If ab = 1, what is the value of (axb)(ayb)?(1)ax = by = 2(2)2xy = 4
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OG15 OG16 OG17 OG18
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Is $${4}^{x+y}={8}^{10}$$ ?(1) x-y= 9(2) $$\frac{y}{x}=\frac{1}{4}$$
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PREP07 Test 1
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What is the value of $$5x^2 + 4x - 1$$ ?(1) x(x + 2) = 0(2) x = 0
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PREP07 Test 2
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A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray's surface is not covered by the cloth?
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PREP07 Test 2
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If the probability that event S will not occur is 1 - y, then the probability that event S will occur is
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190310
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Eight apples and three peaches cost twice as much as three apples and four peaches. What is the ratio of the price of a peach to that of an apple?
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191222
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If two dice are flipped at the same time, what is the probability that “6” shows up at least once ?
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190215
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xy is the square of an integer. Is x the square of an integer?
1: $$y^{\frac{1}{4}}$$ is an integer.
2: $$(xy)^{\frac{1}{4}}$$ is an integer.
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