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1、2021北京资格英语考试真题卷本卷共分为1大题50小题，作答时间为180分钟，总分100分，60分及格。一、单项选择题（共50题，每题2分。每题的备选项中，只有一个最符合题意） 1.Art，Bob，and Carmen share a prize of$400If Art receives twice as much as Bob，and if Bob receives as much as Carmen，how much does Carmen receive? A. $20 B. $40 C. $80 D. $140 E. $160 2.A timestudy specialist has
2、 set the production rate for each worker on acerta in job at 22 units every 3 hoursAt this rate what is the minimum number of workers that should be put on the job if at least 90 units are to be produced per hour? A. 5 B. 8 C. 12 D. 13 E. 30 3.A certain money market account that had a balance of $48
3、，000 during all of last monthearned$360 in interest for the monthAt what simple annual interest rate did the account earn interest last month? A. 7% B. 7.5% C. 8% D. 8.5% E. 9% 4.To obtain an FHA mortgage for $50，000or more，the home buyer must have adown payment equal to 4 percent of the first $25，0
4、00 of the mortgage amount and5 percent of the portion in excess of$25，000At settlement the buyer pays a mortgage insurance premium equal to 3percent of the mortgage amountWhat is the maximum FHA mortgageif anyA buyer can obtain if the buyer has only$6，000 available for the down payment and insurance
5、 premium? A. $62，500 B. $71，875 C. $78，125 D. $125，000 E. The home buyer cannot obtain an FHA mortgage 5.Working alone，a small pump takes twice as long as a large pump takes to fill an empty tankWorking together at their respective constant rates，the pumps can fill the tank in 6 hoursHow many hours
6、would it take the small pump to fill the tank working alone? A. 8 B. 9 C. 12 D. 15 E. 18 6.A candy assortment consists of seven flavors of chocolatecovered creams packed in twolayered boxes with 27 creams in each layerThe flavors are always packed in rows so that the flavor varies with each piece in
7、 the following order：vanilla，orange，cherry，vanilla raspberry，lime，pecan， cherry，lemon How many chocolatecovered vanilla creams are needed to pack 200 boxes of the assortment? A. 600 B. 1，200 C. 1，800 D. 2，400E. 3，600 7.A research scientist wants to study a certain attribute of dogs It is estimated t
8、hat approximately 5 percent ofall dogs have this attributeIf the scientist wants to study a sample of N dogs having the attribute，approximately how many dogs should be screened in order to abtain the desired sample size? A. B. 5N C. 20N D. 105N E. 120N 8.The illumination E， in foot candles，provided
9、by a light source of intensity I，in candles，at a distance D，in feet，iSgiven by For an illumination of50 foot candles at a distance of 4 feet from a source，the intensity of the source must be A. 50 candles B. 200 candles C. 800 candles D. 1，600 candles E. 2，500 candies 9.The figure above shows a rect
10、angular play area in which one child stands at B while another child runs back and forth along the entire side ADIf 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? 10.A linen shop
11、has a certain tablecloth that is available in 8 sizes and 10 colorsWhat is the maximum possible number of different combinations of size and color available? A. 9 B. 18 C. 40 D. 80 E. 90 11.If one number is chosen at random from the first 1，000 positive integers，what is the probability that the numb
12、er chosen is multiple of both 2 and 8? 12.The numbers 3，10，17，24，31，and 38 are the first six terms of an infinite sequence inwhich each term after the first is 7 greater than the preceding termWhat is the 45thterm of the sequence? A. 308 B. 311 C. 312 D. 315 E. 318 13. k ak pk 1 100 0.10 2 200 0.25
13、3 300 0.20 4 400 0.25 5 500 0.20 If in an experiment the probabilities of obtaining the values a1，a2，a3，a4， and a5are p1，P2，P3，P4 and P5，respectively，then the expected value is defined as a1p1+a2p2+a3p3+a4p4+a5p5For the values and their corresponding probabilities in the table above，what is the expe
14、cted value? A. 350 B. 320 C. 300 D. 270 E. 250 14.For which of the following sets of numbers is the product of the three numbers less than each member of the set? 15. A square dart board has four dark circular regions of radius 3 inches，as shown in the design aboveEach point on the dart board is equ
15、ally likely to be hit by a dart that hits the boardWhat is the probability that a dart that hits the board will hit one of the circular regions? 16.An experiment has three possible outcomes，I，J，and KThe probabities of the outcomes are 0.25，0.35，and 0.40，respectivelyIf the experiment is to be perform
16、ed twice and the successive outcomes are independent，what is the probability that K will not be an outcome either time? A. 0.36 B. 0.40 C. 0.60 D. 0.64 E. 0.80 17.If a1，a2，a3，anis a sequence such that a1=-2 and an+1 is the reciprocal of the square of an for all n1，what is the value of a4? 18.The odd
17、s that a certain event will occur is the ratio of the probability that the event will occur to the probability that it will not occurIf the odds that Pat will win a prize are 4 to 3，what is the probability that Pat will not win the prize? 19.If the average(arithmetic mean)of x，y，x，5 and 7 is 8，which
18、 of the following must be true? The median of the five numbers cannot be 5 At least one of x，y，and z is greater than 9 The range of the five numbers is 2 or more A. only B. only C. only D. and E. and 20.A gardener wishes to plant 5 bushes in a straight rowEach bush has flowers of a different solid c
19、olor(white，yellow，pink，red，and purple.How many ways can the bushes be arranged so that the middle bush is the one with red flowers? A. 24 B. 30 C. 60 D. 96 E. 120 21.One integer will be randomly selected from the integers 11 to 60，inclusiveWhat is the probability that the selected integer will be a
20、perfect square or a perfect cube? A. 0.1 B. 0.125 C. 0.16 D. 0.5 E. 0.9 22.The odds in favor of winning a game can be found by computing the ratio of the probability of winning to the probability of not winningIf the probability that Pat will win a game is ，what are the oddle that Pat will win the g
21、ame? A. 4 to 5 B. 4 to 9 C. 5 to 4 D. 5 to 9 E.9 to 5 23.What is the total number of different 5-digitnumbers that contain all of the digits 2，3，4，7 and 9 and in which none of the odd digits occur next to each other? A. 12 B. 10 C. 8 D. 6 E. 1 24. If for a given spin，the pointer shown in the figure
22、above is equally likely to stop on any of the numbered sectors，what is the probability that the pointer will stop on an odd-numbered sector?(Assume that the pointer cannot stop on a dividing line between sectors) 25.In a series of races，10 toy cars are raced，2cars at a timeIf each car must race each
23、 of the other cars exactly twice，how many races must be held? A. 40 B. 90 C. 100 D. 180 E. 200 26.RESULTS ON A HISTORY TEST Class Number of StudentsTaking Test Average*Score X 54 70 Y 41 73 Z 32 76 *Arithmetic meanThe average(arithmetic mean)score for allof the students in the 3 classes iS A. less t
24、han 70 B. between 70 and 73 C. exactly 73 D. between 73 and 76 E. greater than 76 27.Three red marbles and 2 white marbles are placed in an empty boxOne marble at a time is to be selected randomly and removed from the box until all 5 marbles have been removed What is the probability that each of the
25、 first 3 marbles removed will be red? 28.What iS the sum of the first 2，003 terms of the sequence 0，2，7，1，0，2，7，l，0，2，7，1，if the pattern 0，2，7，1 is repeated throughout the sequence? A. 503 B. 2，010 C. 2，013 D. 5，009 E. 20，030 29.A total of 40 tourists went on a tripIf 18of the tourists visited site
26、X，18 visited site Yand 8 visited both site X and site Y，how many visited neither site X nor site Y? A. 4 B. 10 C. 12 D. 22 E. 28 30.Nine pieces of paper numbered consecutively from 1 to 9 are put into a hatIf one piece of paper is drawn a trandom from the hat，what is the probability that it will hav
27、e an even number? 31.The integers between 1 and 100，inclusive，are put in list A if they are divisible by 2and in list B if they are divisible by 3How many integers in list A arenot in list B? A. 11 B. 16 C. 25 D. 33 E. 34 32.What is the sum of the first 1，000 terms of the sequence 0，0，1，2，1，0，0，12，1
28、if the pattern 0，0，1，2，1 is repeated indefinitely? A. 200 B. 400 C. 800 D. 1，000 E. 4，000 33.A certain jar contains 100 jelly beans：50white，30 green，10 yellow，5 red，4purple，and 1 blackIf a jelly bean is to be chosen at random，what is the probability that the jelly bean will be neither purple nor red
29、? A. 0.09 B. 0.11 C. 0.55 D. 0.91 E. 0.96 34.LEAGUE RESULTS Team Ntimber ofGames Won ABCDEX 47922 According to the incomplete table aboveIf each of the 6 teams in the league played each of the other teams exactly twice and there were no tiesHow many games did team X win?(Only 2 teams play in a game)
30、 A. 4 B. 5 C. 6 D. 7 E. 10 35.The 4 beads in a bag are identical except that 2 are red and 2 are blueIf 2 beads are to be simultaneously and randomly selected，what is the probability that they will both be blue? 36.The buyer of a certain mechanical toy must choose 2 of 4 optional motions and 4 of 5o
31、ptional accessoriesHow many different combinations of motions and accessories are available to the buyer? A. 8 B. 11 C. 15 D. 20 E. 30 37.A certain computer program generates a sequence of numbers P1，P2，Pn，by the rules P1=1，P2=1，and for n3，Pn=Pn+1+pn-2，Which of the following equals P5? A. 10 B. 11 C
32、. 14 D. 15 E. 17 38.For which of the following lists of number is the median equal to the average(arithmetic mean)? A. 3，4，7 B. 1，10，19 C. 7，7，10，12 D. 0，1，1，5 E. 0，2，3，4 39.City Y has installed 30 parking meters at15-foot intervals along a straight streetWhat iS the number of feet between the first
33、 meter and the last meter? A. 200 B. 420 C. 435 D. 450 E. 465 40.In a soccer league，if there were 10 teams，and each team played each of the other teams 16 times，how many games did each team play? A. 144 B. 140 C. 134 D. 125 E. 106 41.In a class of 120 students，60 percent can speak French and the res
34、t can speak only EnglishIf 25 percent of those in the class who can speak French can also speak English，how many of the students in the class can speak English? A. 54 B. 60 C. 66 D. 84 E. 90 42.In a graduating class of 236 students。142took algebra and 121 took chemistryWhat is the greatest number of
35、 students that could have taken both algebra and chemistry? A. 21 B. 27 C. 37 D. 121 E. 142 43. In square PQRS aboveT is the midpoint of side RSIf PT=，What is the length of a side of the square? 44. What is the area of the hexagonal region shown in the figure above? 45.If the areas of three of the f
36、aces of a rectangular solid are 6，10 and 15，what is the volume of the solid? A. 30 B. 90 C. 150 D. 300 E. 450 46. In the figure above，if the area of the inscribed rectangular region is 32，then the circumference of the circle is 47.What is the maximum number of nonover-lapping regions into which 3 li
37、nes can divide the interior of a circle? A. 4 B. 6 C. 7 D. 8 E. 9 48. The rectangular rug shown in the figure above has a floral border 1 foot wide on all sidesWhat is the area，in square feet，of that portion of the rug that excludes the border? A. 28 B. 40 C. 45 D. 48 E. 53 49. What are the coordina
38、tes of point B in the xy-plane above? A. (6，12) B. (6，28) C. (8，20) D. (12，20) E. (14，28) 50. If 9 trees are originally planted in a circular pattern as shown above，what is the least number of trees that must be transplanted so that the 9 trees will be in 2 straight rows? A. 4 B. 5 C. 6 D. 7 E. 8第13页 共13页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页