（外语类考证）GRE数学部分真题试卷与答案

1、1、 Each of the following is a valid conclusion from the graphs and the fact that the population of the United States was greater in 1995 than in 1991 EXCEPTA.In 1991, adults whose highest degree was at least a bachelors degree were more than twice as likely to participate in adult educa-tion than th

2、ose whose highest educational attainment was a high school diploma or GED (high school equivalency diploma).B.On a percentage basis, from 1991 to 1995, the greatest increase in the adult education par-ticipation rate was among those adults whose highest educational attainment was grades 9-12, withou

3、t earning a high school diploma.C.In 1995, more people participated in adult edu-cation programs than in 1991.D.From 1991 to !995 the rate of participation in adult education among the groups represented in the graphs increased the least for those who had attained at least a bachelors degree.E.In 19

4、95, more adults with at least a bachelors degree participated in adult education than did adults who attended some college but did not earn a college degree.2、 The buyer of a certain mechanical toy must choose 2 of 4 optional motions and 4 of 5 optional accessories. How many different combinations o

5、f motions and accessories are available to the buyer?A.8B.11C.15D.20E.303、 A square dart board has four dark circular regions of radius 3 inches, as shown in the design above. Each point on the dart board is equally likely to be hit by a dart that hits the board. What is the probability that a dart

6、that hits the board will hit one of the circular regions?A./16B./48C./64D.1/3E.1/44、 RT is a diameter of the circle above. Column A Column BThe measure of RUT The measure of RVTA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the rel

7、ationship cannot be determined from the information given5、 If the sum of five consecutive even integers is 70, what is the value of the greatest of the five integers.A.12B.14C.18D.20E.226、 O is the center of the circle Column A Column Bx 5A.if the quantity in Column A is greaterB.if the quantity in

8、 Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given7、 A buzzer sounds every 15 minutes. If the buzzer sounded at 12:40, which of the following could be a time at which the buzzer sounded?A.4:05B.5:30C.6:45D.7:15E.8:108、 In the rect

9、angular coordinate system above, if P, not shown, is a point on AB and if the x-coordinate of P is 1, what is the y-coordinate of P?A.4/3B.3/2C.7/3D.5/2E.8/39、 If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be ?A.1B.3C.6D.8E.910、 If School X purchased 300 textbooks

10、in 1971 and all of these textbooks either were counted in the inventory or had been discarded before the inventory, what percent of these textbooks had been discarded?A.10%B.20%C.50%D.80%E.100%11、 A rectangular floor 18 feet by 10 feet is to be completely covered with carpeting that costs x dollars

11、per square yard. In terms of x, how many dollars will the carpeting cost? (1 yard = 3 feet)A.20 xB.28xC.60 xD.180 xE.540 x12、(12)13、 Each of the following numbers has two digits blotted out. Which of the numbers could be the number of hours in x days, where x is an integer?A.25,06B.50,26C.56,02D.62,

12、50E.65,2014、 Of the following, which is most nearly equal to 2/3?A.3/4B.5/6C.7/9D.11/15E.15/2115、 Nine pieces of paper numbered consecutively from 1 to 9 are put into a hat. If one piece of paper is drawn at random from the hat, what is the probability that it will have an even number?A.1/9B.2/9C.4/

13、9D.1/2E.5/916、Directions: In the following type of question, two quantities appear, one in Column A and one in Column B. You must compare them. The correct answer to the question is A if the quantity in Column A is greater B if the quantity in Column B is greater C if the two quantities are equal D

14、if it is impossible to determine which quantity is greater Notes: Sometimes information about one or both of the quantities is centered above the two columns. If the same symbol appears in both columns, it represents the same thing each time.(1)17、 Two sides of a right triangle are 5 and Which of th

15、e following could be the length of the third side?A. onlyB. onlyC. and onlyD. and onlyE., , and 18、 NUMBER OF FARMS IN THE UNITED STATES, 18501990 (in millions) The average acreage per farm was approximately 140 in 1910 and 220 in 1950. The ration of the total farmland acreage in 1910 to the total i

16、n 1950 was most nearlyA.3/4B.2/3C.3/5D.1/2E.2/519、 What was the approximate average yearly increase in the cost of wool from 1996 to 2000, inclusive?A.$1,250B.$2,000C.$3,300D.$5,0O0E.$10,00020、(6)21、LAST WEEKS TOTAL HOURS WORKED AND HOURLY WAGES FOR THE CASHIERS AT MARKET XNote: Last week no more th

17、an two cashiers worked at any one time, no cashier worked more than 12 hours on the same day, and on each day each cashier worked continuously.The following 3 question refer to the data above. On Saturday of last week, Market X was open for 15 hours and exactly four cashiers worked. What was the gre

18、atest possible amount that the market could have paid in cashiers wages for that day?A.$132.00B.$157.50C.$161.25D.$163.00E.$165.0022、 Because her test turned out to be more difficult than she intended it to be, a teacher decided to adjust the grades by deducting only half the number of points a stud

19、ent missed. For example, if a student missed 10 points, she received a 95 instead of a 90. Before the grades were adjusted the class average was A. What was the average after the adjustment?23、Directions for Quantitative Comparison Questions: Some of the following questions give you two quantities,

20、one in Column A and one in Column B, Compare the two quantities and choose one of the following answer choices: Aif the quantity in Column A is greater; Bif the quantity in column B is greater; Cif the two quantities are equal; Dif you cannot determine the relationship based on the given information

21、 (10)24、 If in 1900 the water use in Country K was the same as that in Country X, but increased at the constant rate of 3 billion gallons every year, then the two countries would again have had the same water use in approximately what year?A.1910B.1920C.1930D.1940E.195025、(3)26、(7)27、(11)28、 Between

22、 which two consecutive two-year periods was there the greatest percent increase in the Democratic receipts?A.1981-82 to 1983-84B.1985-86 to 1987-88C.1989-90 to 1991-92D.1991-92 to 1993-94E.1993-94 to 1995-9629、 If the mean score for the juniors were known, which of the following could be calculated

23、from the information given?I The range of the scores for the seniorsII The median score for the juniorsIII The mean score for the seniorsA.NoneB.I onlyC.III onlyD.I and IIE.II and III30、 City Y has installed 30 parking meters at 15-foot intervals along a straight street. What is the number of feet b

24、etween the first meter and the last meter?A.200B.420C.435D.450E.46531、 An experiment has three possible outcomes, I, J, and K. The probabilities of the outcomes are 0.25, 0.35, and 0.40, respectively . If the experiment is to be performed twice and the successive outcomes are independent, what is th

25、e probability that K will not be an outcome either time?A.0.36B.0.4C.0.6D.0.64E.0.832、 A rectangular label is attached to a right circular cylinder with radius r. The label, which encircles the cylinder without overlap, has width w and an area equal to the area of the base of the cylinder. Column A

26、Column Bw rA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given33、(4)34、 If it were discovered that the import dollar amount shown for 1978 was incorrect and should have be

27、en $ 5. 3 billion instead, then the average ( arithmetic mean) import dollar amount per year for the 17 years would be how much less?A.$100 millionB.$53 millionC.$47 millionD.$17 millionE.$7 million35、 A number x is chosen at random from the set of positive integers less than What is the probability

28、 that?36、 The sum of each pair of numbers in diametrically opposite positions is equal to the number in the center.Column A Column Ba bA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the in

29、formation given37、 The boundaries of regions X and Y are parallelograms.Column A Column BThe area of X if its sides have lengths 6 and 10 The area of Y if its sides have lengths 5 and 12A.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.i

30、f the relationship cannot be determined from the information given38、 The integer n is a multiple of both 5 and Which of the following is (are) true? I. n is odd. II. n=III. n is a multiple of 15.A.III onlyB.I and II onlyC.I and III onlyD.II and III onlyE.I, II, and III39、 Column A Column BThe area

31、of rectangular region RSTU (TV)(SU)A.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given40、(13)41、 1113171923A decrease of 1 in which of the factors above would result in th

32、e greatest decrease in the product?A.11B.13C.17D.19E.2342、(2)43、(11)44、 JULY ELECTRICITY USAGE FOR THE SMYTHE HOUSEHOLDThe electricity used by the water heater was measured separately and its cost per kilowatt-hour was one-half the cost per kilowatt-hour of the rest of the electricity used. The cost

33、 of the electricity used by the water heater was most nearly what fraction of the total cost of all the electricity used?A.1/11B.1/9C.1/8D.1/5E.It cannot be determined from the information given.45、 What is the volume of a cube whose total surface area is 54?A.9B.27C.54D.81E.72946、 One month Mary us

34、ed 1/6 of her monthly salary for a car payment and 1/4 more than the car payment for rent. What fraction of her monthly salary did Mary use that month for the car payment and rent combined?A.5/24B.3/8C.5/12D.1/2E.7/1247、 If y is a two-digit number with tens digit t and units digit u and the table ab

35、ove is a multiplication table for t and u ( for example, tu = b), then y2 =?A.a + 2b+10cB.10a + 20b+cC.10 (a + 2b+c)D.100 (a + 2b+c)E.100a + 20b+c48、 Which of the following equals the reciprocal of, where does not equal 0?49、 The figure above shows a rectangular play area in which one child stands a

36、t B while another child runs back and forth along the entire side AD. If the running child is in a position randomly located along side AD at a given time, what is the probability that the two children are at most 50 feet apart at that time?A.1/5B.2/5C.3/5D.4/5E.150、EXISTING AND NEW ONE-FAMILY HOMES

37、* SOLD IN THE UNITED STATES FROM 1970 TO 1982 AND THE MEDIAN SALE PRICE FOR SELECTED YEARS* All references to homes in the data and test questions should be interpreted as one-family homes.Note: Graphs drawn to scale.The following 3 question refer to the data above. For which of the following years

38、was there an increase over the previous year in the number of existing homes sold, but a decrease in the number of new homes sold?A.1972B.1973C.1974D.1977E.197951、PERCENT RETURN ON SHAREHOLDERS EQUITY MANUFACTURER X VERSUS ALL UNITED STATES MANUFACTURERSThe following 2 question refer to the data abo

39、ve. For the year shown, other than 1987, in which the percent return on shareholders equity for Manufacturer X was most nearly equal to that for 1987, what was the percent return for all United States manufacturers?A.8%B.12.5%C.15.5%D.17%E.17.5%52、 The areas of the two shaded regions of the circle a

40、re equal.Column A Column BThe area of unshaded region A of the circle The area of unshaded region B of the circleA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given53、 For

41、 all real numbers p and r, pr= pr- p+r.Column A Column B(-4)5 5(-4)A.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given54、 If the lengths of two of the sides of a triangle

42、are 9 and 10, which of the following could be the length of the third side? . 1 . 11 . 21A.NoneB. onlyC. onlyD. and onlyE., , and 55、(12)56、 If the value of the expression above is to be halved by doubling exactly one of the five numbers a, b, c, d, or e, which should be doubled?A.aB.bC.cD.dE.e57、 O

43、n a certain number line, if -7 is a distance 4 from n and 7 is a distance of 18 from n then n =?A.25B.11C.3D.-3E.-1158、 In a series of races, 10 toy cars are raced, 2 cars at a time. If each car must race each of the other cars exactly twice, how many races must be held?A.40B.90C.100D.180E.20059、 In

44、 the figure above, the diameter of the circle is 20 and the area of the shaded region is 80. What is the value of a + b + c + d?A.144B.216C.240D.270E.28860、(13)61、 When integer n is divided by 9, the remainder is 2.Column A Column BThe remainder when 2n is divided by 3A.if the quantity in Column A i

45、s greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given62、 In 1995 the number of students enrolled in public institutions of higher education was approximately how many times the number of students enrolled

46、 in private institutions of higher education?A.2B.2.5C.3D.3.5E.463、 Column A Column BThe number of different prime factors of 48 The number of different prime factors of 72A.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relation

47、ship cannot be determined from the information given64、 In a new housing development, one house sold for $140,000, and all the rest sold for $100,000 each.Column A Column BThe average (arithmetic mean) selling price of all the houses sold in the new development $102,000A.if the quantity in Column A

48、is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given65、 xz yz Column A Column Bx+y zA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if th

49、e relationship cannot be determined from the information given66、 According to the graphs, which of the following is the best estimate of the total number of employees in 1990?A.75,OOOB.62,000C.57,000D.50,000E.48,00067、(6)68、 O is the center of the circle. The area of the shaded region is 3 .Column

50、A Column BThe degree measure of AOB 120A.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given69、 Assume that in 1990 there were 3,000,000 fourth-graders in the United States.

51、 How many fewer of those 3,000,000 students used a computer in school at least once a week in 1994 than in 1990?A.100,000B.250,000C.500,000D.600,000E.750,00070、 To the nearest million, how many more students were enrolled in schoolboth public and private, prek-12in 1970 than in 1988?A.3,000,000B.6,0

52、00,000C.10,000,000D.44,000,000E.51,000,00071、 -4x4 -8y-4Column A Column BThe greatest possible value of 25x-12.5y 200A.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given72、

53、 To obtain an FHA mortgage for $50,000 or more, the home buyer must have a down payment equal to 4 percent of the first $25,000 of the mortgage amount and 5 percent of the portion in excess of $25,000. At settlement the buyer pays a mortgage insurance premium equal to 3 percent of the mortgage amoun

54、t. What is the maximum FHA mortgage, if any, a buyer can obtain if the buyer has only $6,000 available for the down payment and insurance premium?A.$62500B.$71875C.$78125D.$125000E.The home buyer cannot obtain an FHA mortgage.73、 Which of the following statements can be inferred from the graph?I Sch

55、ool X has a smaller enrollment than School Y.II If the age of a book is the number of years since purchase, then the average (arithmetic mean) age of a book in the School Y inventory is less than that of a book in the School X inventory.III According to the inventory, School X and School Y purchased

56、 the same number of textbooks in 1976.A.NoneB.I onlyC.II onlyD.I and IIE.II and III74、 Approximately what percent of the proceeds that went to the states General fund would have to be given to the senior citizen programs so that the proceeds for the senior citizen programs and the Cities would be eq

57、ual?A.0.9%B.9%C.31%D.48%E.69%75、(14)76、 A purchase plan for a stereo receiver requires 20 percent of the total cost as a down payment and monthly payments of $30.Column A Column BThe total cost of the stereo receiver $450A.if the quantity in Column A is greaterB.if the quantity in Column B is greate

58、rC.if the two quantity are equalD.if the relationship cannot be determined from the information given77、 2x +5y = 24 lx3 Column A Column Bx yA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from

59、the information given78、(11)79、 Column A Column BA.if the quantity in Column A is greaterB.if the quantity in Column B is greaterC.if the two quantity are equalD.if the relationship cannot be determined from the information given80、(7)81、 In a set of measurements, the range is defined as the greates

60、t measurement minus the least measurement. According to the table above, during the first four days of which month was the range of temperatures at noon the greatest?A.JanuaryB.AprilC.JuneD.AugustE.November82、 Which of the following statements can be inferred from the data? I. The greatest increase