1、SSAT 数学练习题SSAT,全称 Secondary School Admission Test,中文名称为美国中学入学考试,适用于美国、加拿大私立中学的入学,是申请者所必须具备的一个考试成绩。主要测量学生的数学、语文以及阅读理解能力,考察考生的逻辑思维和发展潜力。由 Admission Test Board命题。针对不同年龄的学生,SSAT 考试分为高级(upper level)和低级(lower level),前者针对目前就读 8-11 年级的学生,后者针对目前就读 5-7 年级的学生。1 What is the perimeter of a rectangle with side le
2、ngths of 8 and 3?一个长方形的边长为 8 和 3 ,它的周长是多少?a. 6b. 11c, 16d. 22e. 252 The base angles of an isosceles triangle are:等腰三角形的底角是:Perpendicular Congruent 全等Complimentary 互余Supplementary 互补Parallel 平行3 How many points are necessary to define a line?确定一条直线需要几个点?a. Oneb. Twoc. Threed. Foure. Infinite4 Two car
3、s start from the same place two hours apart. The first car travels at 10 miles per hour and the second travels at 15 miles per hour. How many hours after the second car leaves does it take for the second car to catch up?两辆车从一个地方出发,一个先走两个小时。甲车每小时走十英里,乙车每小时走 15 英里。当乙车开始走的时候,它需要多久才可以追上甲车?a. 1b. 2c. 3d.
4、 4e. 55 What interest rate is necessary to get $1000 in interest over 2 years on a $10000 investment?投资 10000 美元,那么利率为多少的时候,在两年里才可以得到 1000 美元的利息?a. 4%b. 5%c. 6%d. 7%e. 8%6 The sum of 14 consecutive integers is 217. What is the sixth number in the series?14 个连续整数的总和是 217.那么这个序列中第六个数是几?a. 13b. 14c. 15
5、d. 16e. 177 Paul needs to be at a meeting in 20 minutes. If his office is 15 miles away, how fast does he need to drive to get there on time, in miles per hour?保罗需在 20 分钟内赶到一个会议。如果他离公司 15 英里,那么他需要开多快才可以准时参加会议(英里/ 小时)?a. 15b. 20c. 30d. 40e. 458 The base angles of an isosceles triangle are:Perpendicul
6、arCongruentComplimentarySupplementaryParallel9 If A $ B = A * B - ( A + B), what is 3 $ (2 $ 1)?A. -5B. -3C. 0D. 1E. 410 What is the average (arithmetic mean) of 4x + 5, 7x-6,and -8x+2?4x + 5, 7x-6,和 -8x+2 的平均值是多少?A. x + 1B. x + 1/3C. 3x + 1D. 3x + 1/3E. 3x + 3 1/311 In a classroom of 35 students, 1
7、4 are male. What percent of the classroom is male?教室里有 35 个学生,14 个是男生。 那么教室里男生的比例是多少?A. 14%B. 20%C. 30%D. 40%E. 50%12 If the area of a triangle is 24 and its base is 6, what is the length of the altitude to that base?一三角形的面积是 24,其底边是 6,那么底边上的高是多长?A. 3B. 6C. 8D. 10E. unknown13 If Jeff and Jimmy have
8、less than 22 dollars between them, and Jeff has 8 dollars, which of the following could be the number of dollars that Jimmy has?如果 Jeff 和 Jimmy 俩人共有不超过 22 美元,jeff 有 8 美元. 那么下面哪一项可能是jimmy 有的钱?121416A. I onlyB. III onlyC. I & III.D. I & IIE. Neither I, II, nor III is correct.14 Stephanie drove at an a
9、verage rate of 50 miles per hour for two hours and then increased her average rate by 50% for the next 3 hours. Her average rate of speed for the 5 hours was t miles per hour. What is the value of t?Stephanie 以每小时 50 英里的平均速度行驶了 2 小时,后来她把平均速度提高 50%后又开了 3 小时。若她 5 小时的平均速度是 t,那么 t 值是多少?A. 55 mphB. 60 mp
10、hC. 65 mphD. 70 mphE. 75 mph15 If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas?若 1 a= 2 b,1 b = 3 c,几个 a 等于 36 个 c?A. 6B. 12C. 36D. 72E. 10816 At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwashe
11、r is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?在乔德牛排餐厅的厨师的小时工资比一个洗碗工多 20,洗碗工每小时的工资是经理人的每小时工资的一半。如果一个经理的工资是每小时 8.50 美元,那么厨师比经理每小时少赚多少钱?A. $5.95B. $4.25C. $5.10D. $3.25E. $3.4017 A florist buys roses at $
12、0.50 a piece and sells them for $1.00 a piece. If there are no other expenses, how many roses must be sold in order to make a profit of $300?一花匠以每支 0.5 美元的价格买进玫瑰,又以每支 1 美元是价格卖出去。如果没有其他开支,那么他要卖多少枝玫瑰才可以赚到 300 美元?A. 100B. 150C. 200D. 300E. 60018 A certain pump can drain a full 375-gallon tank in 15 min
13、utes. At this rate, how many more minutes would it take to drain a full 600-gallon tank?某水泵可是在 15 分钟内抽干 转着 375 加仑的水的水箱。以这个速度,它抽干一个 600 加仑水的水箱好要多久?A. 9B. 15C. 18D. 24E. 2519 Lennys average score after 3 tests is 88. What score on the 4th test would bring Lennys average up to exactly 90?Lenny 三次考试以后的平
14、均分是 88. 那么第四次考试她需要考多少才可以使其平均分为90?A. 92B. 93C. 94D. 95E. 9620 If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following?如果一个整数可以被 3 和 9 整除,那么下面哪一个也可以被这个整数整除?A. 12B. 18C. 24D. 36E. 5421 A certain machine can make 3 widgets every 2 seconds. At this rate, how
15、 many widgets will be made in 1 minute?某机器可以在 2 秒内造出 3 个零件。那么一分钟此机器可以造出多少零件?A. 90B. 110C. 150D. 180E. 22022 What is the average of the first 50 positive integers?前 50 个正整数的平均值是多少?A. 25B. 25.5C. 26D. 26.5E. 2723 If ab is negative, which of the following CANNOT be negative?若 ab 是负数,下面哪个不可能是负数?A. b-aB.
16、 a-bC. a2bD. ab2E. a2b224 In a certain set of numbers, the ratio of integers to nonintegers is 1:4. What percent of the numbers in the set are integers?在某一系列的数中,整数和非整数的比例是 1:4, 那么整数的比例占多少?A. 20%B. 25%C. 40%D. 75%E. 80%25 What is the smallest positive number that leaves a remainder of 2 when the numb
17、er is divided by 3, 4, or 5?当一个整数能被 3,4,5 整除时,这个最小的正整数是多少?A. 42B. 82C. 22D. 62E. 12226 Which is greater?哪一个更大?Column A (A 栏) Column B (B 栏)3-5+6-8-4+7 -2A. the quantity in Column B is greaterB. the relationship cannot be determined from the information givenC. the quantity in Column A is greaterD. t
18、he two quantities are equal27 If a die is tossed twice,the probability of getting a 3 on both tosses is:一骰子被掷两次,被掷到 3 的比例是多少?A. 1/4B. 1/36C. 1/12D. 1/6E. 1/2528 An instrument store gives a 10% discount to all students off the original costof an instrument. During a back to school sale an additional
19、15% is taken offthe discounted price. Julie, a student at the local high school, purchases aflute for $306. How much did it originally cost?一五金店给所有学生每件文具打 9 折。在回校的路上,又在打折价上再打了 8.5 折。Julie,是当地学校的学生,话 306 美元买了一横笛,那么它原价是多少?A. $325B. $375C. $400D. $408E. $42529 If y(x-1)=z then x=A. y-zB. z/y + 1C. y(z-
20、1)D. z(y-1)E. 1-zy30 Which of the following values is NOT equal to 34(58+9)?下面那个值不等于 34(58+9)A. 34 x 67 B. 58(34+9)C. 34 x 58 + 34 x 9D. 1,972 + 306E. (9 + 58) 3431 Two angles of a triangle measure 15 and 85 . What is the measure for thethird angle?一三角形的两底角分别是 15 度和 85 度。那么第三个角的度数是多少?A. 50B. 55C. 60
21、D. 80E. 9032 If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal tohow many grams?若 5 盎司等于 140 个,2 磅绞肉等于多少克?A. 863B. 878C. 896D. 915E. 93233 Which year did the most children take swimming lessons?哪一年上游泳课的孩子最多?A. 1990B. 1991C. 1992D. 1994E. 199534 Between which year did the large
22、st decrease in children taking swimminglessons occur?在那几年之间上游泳课的孩子降幅最大?A. 1990-1991B. 1991-1992C. 1992-1993D. 1993-1994E. 1994-199535 What was the average number of children taking swim lessons from 1990 to 1995?1990 年到 1995 年上游泳课的孩子的平均数是多少?A. 250B. 308C. 385D. 450E. 1,85036 Which of the following i
23、s equal to 5.93 x 10-2?下面哪个等于 5.93 x 10-2?A. 0.0593B. 0.00593C. 593D. 5930E. 5930037 On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6 1/5 inches. How many miles are actually between the two towns?在地图上,一英尺代表 20 英里。两个镇之间的距离是 6.2 英尺,那么两镇之间的实际距离是多少?A. 65 milesB. 84 milesC. 124 mil
24、esD. 138 milesE. 145 miles38 How many cubed pieces of fudge that are 3 inches on an edge can be packed intoa Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high withthe lid still being able to be closed?A. 18B. 24C. 32D. 36E. 4339 Sarah is twice as old as her youngest brother. If
25、the difference between theirages is 15 years. How old is her youngest brother?莎拉是她最小的弟弟的两倍大。如果他们的年龄之间的差异是 15 年。是她最小的弟弟多大年纪?A. 10B. 15C. 20D. 25E. 3040 Which of the following fractions is equal to 5/6?下列哪一个分数等于 5 / 6?A. 20/30B. 15/24C. 25/30D. 40/54E. 2/741 What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet longif the tile cost $8.91 per square yard?给一个宽 12 英尺,长 20 英尺的厨房铺地板瓷砖,如果瓷砖的成本每平方码 8.91 元,那么铺整个厨房的成本是多少?A. $224.51B. $237.60C. $246.55D. $271.38E. $282.32