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96数学英语练习题2
MathProblemsinEnglish(2)；Directions:Eachoftheques；41.Anecklaceismadebystri；bead,whitebead,bluebead,；B.68；C.76；D.82；42.Johnwasassignedsomema；schoolheanswered7moreexe；A.36；B.24；C.12；
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.
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
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?
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?
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
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
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
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
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?
and k? A. 572
If x and y are prime integers, which of the following CANNOT be the sum of x and y?
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
英语版数学练习题 第1页 （共4页）
If k is an integer greater than 44 and less than 51, then which of the following could be the product of 11
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%
All of the following have the same number of distinct prime factors EXCEPT
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 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
C. (700x+yn)/100
D. (7x+100yn)/100
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?
If n is a prime number greater than 3, what is the remainder when n is divided by 12?
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
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
What is the twenty-first term of the sequence given by xn = 4n - 3 ?
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?
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?
英语版数学练习题 第2页 （共4页）
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
B. 6 inches
C. 7 inches
D. 8 inches
average of the student’s two lowest scores ? A. 129-2a
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
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
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
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
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 ?
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
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 ?
英语版数学练习题 第3页 （共4页）
If x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is
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
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%
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
C. 26, 000
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
六边形 integer
整数 长度 中数 倍数 分子
remainder sequence side
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
平均数 arithmetic mean
算术平均数 base
底面 圆形 圆周长 立方英尺 连续偶整数
consecutive positive integers
连续正整数
圆柱体 分母
denominator
square inch
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
positive integer prime factor
prime number
probability product
reciprocal rectangle
其他生词和词组
difference
数字 even integer
偶整数 fraction
quadrilateral
rectangular solid
英语版数学练习题 第4页 （共4页）
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