题目列表

序号 题目内容
1 Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?
2 If $$x + y = 2$$ and $$x^{2} + y^{2} = 2$$, what is the value of xy?
3 The sum S of the first n consecutive positive even integers is given by $$S = n(n + 1)$$. For.what value of n is this sum equal to 110 ?
4 A certain harbor has docking stations along its west and south docks, as shown in the figure; any two adjacent docking stations are separated by a uniform distance d. A certain boat left the west dock from docking station #2 and moved in a straight line diagonally until it reached the south dock. If the boat was at one time directly east of docking station #4 and directly north of docking station # 7, at which docking station on the south dock did the boat arrive?
5 6(87.30 + 0.65) - 5(87.30) =
6 Points A, B, C, and D, in that order, lie on a line. If AB= 3 cm, AC= 4 cm, and BD= 6 cm, what is CD, in centimeters?
7 What is the value of$$x^{2}yz - xyz^{2}$$, if x = -2, y =1, and Z= 3?
8 A souvenir vendor purchased 1,000 shirts for a special event at a price of $5 each. The vendor sold 600 of the shirts on the day of the event for $12 each and 300 of the shirts in the week following the event for $4 each. The vendor was unable to sell the remaining shirts. What was the vendor's gross profit on the sale of these shirts?
9 If x > y and y > z, which of the following represents the greatest number?
10 To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order?
11 A rug manufacturer produces rugs at a cost of $75 per rug. What is the manufacturer's gross profit from the sale of 150 rugs if $$\frac{2}{3}$$ of the rugs are sold for $150 per rug and the rest are sold for $200 per rug?
12 The value of Maureen's investment portfolio has decreased by 5.8 percent since her initial investment in the portfolio. If her initial investment was $16,800, what is the current value of the portfolio?
13 Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $10.00 each, what was Company C's gross profit?
14 A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will $$\underline {not}$$ have been assembled by the end of the second hour?
15 The annual profit or loss for the three divisions of Company T for the years 1991 through 1995 are summarized in the table shown, where losses are enclosed in parentheses. For which division and which three consecutive years shown was the division's profit or loss for the three-year period closest to $0 ?
16 Of the following, which is least?
17 The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation $$ R = 1 76 - 0.8x$$ . What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140?
18 If the average (arithmetic mean) of 5 numbers j, j + 5, 2j- l, 4j- 2, and 5j- 1 is 8, what is the value of j?
19 Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and the other is 250 m by 630 m. The combined area of these 2 tracts is how many square meters?
20 There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?

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