数学英语练习题2

1、Math Problems in English (2)Directions: Each of the questions has four answer choices. For each of these questions, select the best of the answer choices given.41. A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and ye

2、llow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equalA. 54 B. 68 C. 76 D. 82 42. John was assigned some math exercises for homework. He answered half of them in study hall. After school he answered 7 more exercises. If he still has 11 exercises to do

3、, how many exercises were assigned? A. 36 B. 24 C. 12 D. 843. The average of 3 different positive integers is 100 and the largest of these integers is 120, what is the least possible value of the smallest of these integers? A. 1 B. 10 C. 61 D. 71 44. If when a certain integer x is divided by 5 the r

4、emainder is 2, then each of the following could also be an integer EXCEPTA. x/17 B. x/11 C. x/10 D. x/6 45. Over the last three years a scientist had an average yearly income of $45,000. The scientist earned 1.5 times as much the second year as the first year and 2.5 times as much the third year as

5、the first year. What was the scientists income the second year?A. $9,000 B. $13,500 C. $27,000 D. $40,500 46. Salesperson As compensation for any week is $360 plus 6% of the proportion of As total sales above $1,000 for that week. Salesperson Bs compensation for any week is 8% of Bs total sales for

6、that week. For what amount of total weekly sales would both salespeople earn the same compensation? A. $21,000 B. $18,000 C. $15,000 D. $4,500 47. An instructor scored a students test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the st

7、udent answered all the questions and received a sore of 38, how many questions did that student answer correctly?A. 46 B. 47 C. 48 D. 49 48. When you add 5 to a certain number, then subtract -10, multiply by 4, and divide by 6, you get 12. What is the number? A. -33 B. 1/3 C. 3 D. 13 2/349. If k is

8、an integer greater than 44 and less than 51, then which of the following could be the product of 11 and k?A. 572 B. 550 C. 484 D. 440 50. If x and y are prime integers, which of the following CANNOT be the sum of x and y?A. 23 B. 16 C. 13 D. 9 51. To fill a number of vacancies, an employer must hire

9、 3 programmers from among 6 applicants, and 2 managers from among 4 applicants. What is the total number of ways in which she can make her decision?A. 1,940 B. 132 C. 120 D. 60 52. A $500 investment and a $1,500 investment have a combined yearly return of 8.5% of the total of the two investments. If

10、 the $500 investment has a yearly return of 7%, what percent yearly return does the $1,500 investment have?A. 9% B. 10% C. 10.5% D. 11% 53. All of the following have the same number of distinct prime factors EXCEPTA. 20 B. 21 C. 24 D. 30 54. A haberdasher sells neckties for $7 each and shirts for $1

11、2 each. If he sells $95 worth of ties and shirts, what is the least amount of ties he could have sold? A. 3 B. 4 C. 5 D. 6 55. A machine costs x dollars per day to maintain and y cents for each unit it produces. If the machine is operated 7 days a week and produces n units in a week, which of the fo

12、llowing is the total cost, in dollars, of operating the machine for a week?A. 7x+100yn B. 7x+yn C. (700x+yn)/100 D. (7x+100yn)/100 56. Coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of th

13、e remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pocket?A. 7 B. 13 C. 17 D. 22 英语版数学练习题 第4页 （共4页）57. Jack is standing 30 yards due north of point P. Sue is standing 72 yards due east of point P. What is the shortest distance betwe

14、en Jack and Sue? A. 60 yards B. 78 yards C. 90 yards D. 100yards 58. If n is a prime number greater than 3, what is the remainder when n2 is divided by 12? A. 0 B. 1 C. 2 D. 3 59. In each production lot for a certain toy, 25 % of the toys are red and 75% of the toys are blue. Half the toys are size

15、A and half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?A. 15 B. 25 C. 30 D. 35 60. A certain copy machine produces 13 copies every 10 seconds. If the machine operates without interruption, how many copies would it produce in an hour?A. 4,68

16、0 B. 4,690 C. 4,710 D. 4,732 61. What is the twenty-first term of the sequence given by xn= 4n - 3 ?A. 6 B. 72 C. 81 D. 87 62. In a marketing survey for products A, B, and C, 1000 people were asked which of the products, if any, they use. The three circular regions in the diagram represent the numbe

17、rs of people who use products A, B, and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C. How many of the people surveyed use exactly one of the products? A. 325 B. 250 C. 150 D. 10063. The contents of a certain box cons

18、ists of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples? A. 3 B. 6 C. 14 D. 17 64. A rectangle with dimensions 24 inches by 42 inches is to be divided into squares of equal size. Which of the following could

19、be a length of the squares? A. 4 inches B. 6 inches C. 7 inches D. 8 inches 65. What is the sum of the integers in the table? A. 28 B. 112 C. 336 D. 448 1234567-2-4-6-8-10-12-1436912151821-4-8-12-16-20-24-285101520253035-6-12-18-24-30-36-42714212835424966. A student had an average of 86 for three te

20、sts. If the students highest test score was 2a, what was the average of the students two lowest scores ?A. 129-2a B. 258-2a C. 129-a D. 258+2a 67. The lengths of the three sides of a right triangle are given by three consecutive even integers. Find the lengths of the three sides. A. 4, 6, 8 B. 6, 8,

21、 10 C. 8, 10, 12 D. 10, 12, 14 68. A prize of $240 is divided between two persons. If one person receives $180, then what is the difference between the amounts received by the persons ?A. $30 B. $60 C. $120 D.$210 69. A salesman makes a profit of 25% on all sales. How many fax machines will he sell

22、for $375 each to make a total commission of at least $500 ?A. 4 B. 5 C. 6 D. 15 70. Joe works two part-time jobs. One week Joe worked 8 hours at one job, earning $150, and 4.5 hours at other job, earning $90. What were his average hourly earnings for the week ?A. $8.00 B. $9.60 C. $16.00 D. $19.20 7

23、1. The figure is a regular hexagon with center H. The shaded area is a parallelogram that shares three vertices with the hexagon; its fourth vertex is the center of the hexagon. If the length of one side of the hexagon is 8 centimeters, what is the area of the unshaded region ? A. 163 cm2 B. 96 cm2

24、C. 643 cm2 D. 963 cm272. If the product of the integers w, x, y, and z is 770, and if 1wxyz, what is the value of w+z ?A. 10 B. 13 C. 16 D. 18 73. If a three-digit integer is selected at random from the integers 100 through 199, inclusive, what is the probability that the first digit and the last di

25、git of the integer are each equal to one more than the middle digit ?A. 2/225 B. 1/111 C. 1/110 D. 1/100 74. The width of a rectangle is 6 cm less than the length. If the perimeter of the rectangle is 48 cm, what is the length of the rectangle in centimeters ?A. 15 B. 12 C. 9 D. 6 75. In a certain c

26、ompany, the ratio of the number of women employees to the number of men employees is 3 to 2. If the total number of employees is 240, then how many of the employees are men ? A. 40 B. 48 C. 96 D. 144 76. If x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z isA. 3

27、3 B. 40 C. 49 D. 61 77. A number of bricks were purchased to build a fireplace, at a cost of 40 cents each, but only 3/4 of them were needed. If the unused 190 bricks were returned and their cost refunded, what was the cost of the bricks used to make the fireplace ?A. $228 B. $304 C. $414 D. $570 78

28、. If the width of a rectangle is increased by 25% while the length remains constant, the resulting area is what percent of the original area ?A. 25% B. 75% C. 125% D. 225% 79. A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. Ho