题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
101	If xy + z = x(y + z), which of the following must be true?
102	If -3 is 6 more than x, what is the value of $$\frac{x}{3}$$
103	A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x ?
104	If the average (arithmetic mean) of the 4 numbers n+2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?
105	Two water pumps, working simultaneously at their respective constant rates, took exactly 4 hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
106	If a certain sample of data has a mean of 20.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
107	In the figure above, equilateral triangle ABC is inscribed in the circle. If the length of arc ABC is 24, what is the approximate diameter of the circle?
108	In the arithmetic sequence $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$,..., $${t}_{1}= 23$$ and $${t}_{n} = {t}_{n-1}- 3$$ for each $$n > 1$$. What is the value of n when $${t}_{n}=-4$$ ?
109	Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 18,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
110	The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
111	If n is a positive integer less than 200 and$$\frac{14n}{60}$$is an integer, then n has how many different positive prime factors?
112	What is the sum of the integers in the table above?
113	For all positive integers of m, [m]=3m when m is odd, and $$\frac{1}{2}$$m when m is even. Which of the following is equal to [9]*[6]?
114	If 0 < x < 1, what is the median of the values x, $${x}^{-1}$$, $${x}^{2}$$, $$\sqrt{x}$$, and $${x}^{3}$$?
115	A used-car dealer sold one car at a profit of 25 percent of the dealer's purchase price for that car and sold another car at a loss of 20 percent of the dealer's purchase price for that car. If the dealer sold each car for $20,000, what was the dealer's total profit or loss, in dollars, for the two transactions combined?
116	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?
117	. A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors:blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
118	. For a certain examination, a score of 58 was 2 standard deviations below the mean,and a score of 98 was 3 standard deviations above the mean. What was the mean score for the examination?
119	The figure shows seven train stations and the distances, in miles, along the railways that connect these stations. Beginning at one of the stations, a train takes 25 hours to travel directly to station W at an average rate of 50 miles per hour. At which of the stations did the train begin?
120	Which of the following is closest to the value of $${999}\over{100+{\frac{1}{999}}}$$?

序号

题目内容

101

If xy + z = x(y + z), which of the following must be true?

102

If -3 is 6 more than x, what is the value of $$\frac{x}{3}$$

103

A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x ?

104

If the average (arithmetic mean) of the 4 numbers n+2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?

105

Two water pumps, working simultaneously at their respective constant rates, took exactly 4 hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?