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PREP07 Test 1
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Peter and Tom shared the driving on a certain trip. If Peter and Tom both drove for the same amount of time, but Peter only drove $$\frac{2}{5}$$ of the total distance, what was the ratio of Peter's average speed to Tom's average speed?
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A shipment of 8 television sets contains 2 black-and-white sets and 6color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
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Every trading day, the price of CF Corp stock either goes up by $1 or goes down by $1 with equal likelihood. At the end of 5 trading days, what is the probability that the price of CF Corp stock is up byexactly $3 from its initial price?
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An integer between 1 and 300, inclusive, is chosen at random. What is the probability that the integer so chosen equals an integer raised to an exponent that is an integer greater than 1?
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PREP07 Test 2
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In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but not married?
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PREP07 Test 2
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Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the larger jar will be filled with water?
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Magoosh
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Each circle has center O. The radius of the smaller circle is 2 and the radius of the larger circle is 6. If a point is selected at random from the larger circular region, what is the probability that the point will lie in the shaded region?
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Magoosh
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In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
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OG18-数学分册
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$${2 + 2\sqrt{6}}\over{2} $$=
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OG18-数学分册
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If $$x \neq 2$$, then $${3x^{2}(x-2)-x+2}\over{x-2}$$=
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190124
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A person bought a packet of candies. He ate $$\frac{1}{3}$$ of all of the candies. Then, he ate $$\frac{1}{3}$$ of the left ones. What's the ratio of the number of candies in the packet after eating to that of all of the candies?
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If 1 < x < y < z, which of the following has the greatest value?
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if $$\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{13}{x}$$,which of the following must be an integer?I. $$\frac{x}{8}$$II. $$\frac{x}{12}$$III. $$\frac{x}{24}$$
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PREP07 Test 1
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Is y between -2 and 1 on the number line?(1) y is to the right of -1 on the number line.(2) y is to the left of 2 on the number line.
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Magoosh
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What is the remainder when positive integer n is divided by 4?(1) When n is divided by 8, the remainder is 1.(2) When n is divided by 2, the remainder is 1.
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Of the animals in a certain zoo, $$\frac{1}{3}$$ are zebras, $$\frac{1}{6}$$ are giraffes, $$\frac{1}{5}$$ are orangutans, and the rest is comprised of 36 hyenas. How many zebras are in the zoo?
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Is $$\frac{1}{p} >\frac{r}{r^2+2}$$?(1)P=r(2)$$r >0$$
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Is $${\frac{x+1}{y}}>{\frac{x}{y}}$$?
(1)0 < x < y
(2)xy>0
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OG18-数学分册
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A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $${R}_{i}$$ $$(1 \leq i \leq 5)$$. The average of the amounts in column j is Cj $$(1 \leq j \leq 4)$$. What is the average of all 20 amounts on the spreadsheet?(1) $${R}_{1}+{R}_{2}+{R}_{3}+{R}_{4}+{R}_{5}={550}$$(2) $${C}_{1}+{C}_{2}+{C}_{3}+{C}_{4}={440}$$
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190310
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The general term of the sequence of equal difference numbers is $$a_{n+1} = a_{n} +7$$.$$ \sum^{20}_{i=1} a_{i} = 1530$$.$$s_4$$=?
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