数学英语练习题2

2024年1月24日发(作者：海南省成人高考数学试卷)

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 yellow bead. If the necklace design begins with a red bead and ends

with a white bead, then N could equal

A. 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, how many exercises were

assigned?

A. 36 B. 24 C. 12 D. 8

43. 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 remainder is 2, then each of the following could also be an

integer EXCEPT

A. 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 the first year.

What was the scientist’s income the second year?

A. $9,000 B. $13,500 C. $27,000 D. $40,500

46. Salesperson A’s compensation for any week is $360 plus 6% of the proportion of A’s total sales above

$1,000 for that week. Salesperson B’s compensation for any week is 8% of B’s total sales for 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 student’s test of 50 questions by subtracting 2 times the number of incorrect

answers from the number of correct answers. If the student 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

and k?

A. 572

A. 23

B. 550

C. 484

C. 13

D. 440

D. 9

50. If x and y are prime integers, which of the following CANNOT be the sum of x and y?

B. 16

51. To fill a number of vacancies, an employer must hire 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

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B. 1/3 C. 3 D. 13 2/3

49. If k is an integer greater than 44 and less than 51, then which of the following could be the product of 11

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 the $500 investment has a yearly return of 7%, what percent yearly return does the

$1,500 investment have?

A. 9%

A. 20

B. 10%

B. 21

C. 10.5%

C. 24

D. 11%

D. 30

53. All of the following have the same number of distinct prime factors EXCEPT

54. A haberdasher sells neckties for $7 each and shirts for $12 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 following 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 the 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

J57. 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 between

Jack and Sue?

A. 60 yards

C. 90 yards

B. 78 yards

D. 100yards

30P72S

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 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. 4,680

A. 6

B. 4,690

C. 4,710

C. 81

D. 4,732

61. What is the twenty-first term of the sequence given by xn = 4n - 3 ?

B. 72 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 numbers 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. 100

ABC

63. The contents of a certain box consists 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

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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 be a length of the squares?

A. 4 inches

65. What is the sum of the integers in the table?

A. 28 B. 112

C. 336 D. 448

1

-2 4

2

-6

3

-8

4

-5

-10

6

-12

7

-14

3

-4

6

-8

15 0

--6 12

17 4

9

-12

15

-18

21

12

-16

20

-24

28

15

-20

25

-30

35

18

-24

30

-36

42

21

-28

35

-42

49

B. 6 inches C. 7 inches D. 8 inches

66. A student had an average of 86 for three tests. If the student’s highest test score was 2a, what was the

average of the student’s 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, 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 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

71. 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. 16√3 cm2 B. 96 cm2

C. 64√3 cm2

A. 10 B. 13

D. 96√3 cm2

C. 16 D. 18

72. If the product of the integers w, x, y, and z is 770, and if 1﹤w﹤x﹤y﹤z, what is the value of w+z ?

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 digit 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 company, 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

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76. If x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is

A. 33

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. 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. How many different

passwords are possible ?

A. 5,040 B. 18,720 C. 26, 000 D. 37,440

PS B. 40 C. 49 D. 61

80. In the figure, PQRS is a square and each of the four circles has a

radius of r. What fractional part of the area of the square is

unshaded ?

A. (π-4)/2 B. (4-π)/4 C. π/4 D. 4/π

QR

数学术语

angle

角

面积 area

hexagon 六边形

integer

length

median

multiple

整数

长度

中数

倍数

分子

remainder

sequence

side

square

余数

直角三角形

数列

边

正方形

平方英寸

和

项

三角形

体积

宽度

正北

二重唱

领带

使连成一串

平局

三重唱

right triangle

average 平均数

arithmetic mean 算术平均数

base

circle

底面

圆形

圆周长

立方英尺

连续偶整数

consecutive positive integers

连续正整数

cylinder 圆柱体

分母 denominator

numerator square inch

sum

term

odd number 奇数

parallelogram 平行四边形

perimeter

point

周长

点

正整数

质因子

质数

概率

乘积

四边形

半径

倒数

长方形

standard deviation 标准差

circumference

cubic foot

consecutive even integers triangle

volume

width

due north

duo

necktie

string

tie

trio

positive integer

prime factor

prime number

probability

product

radius

reciprocal

rectangle

vertex 顶点

其他生词和词组

difference 差

digit 数字

even integer 偶整数

fraction

height

分数

高度

quadrilateral

rectangular solid 长方体

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