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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
2、 lengths of 8 and 3? 一个长方形的边长为 8 和 3 ，它的周长是多少？ a. 6 b. 11 c, 16 d. 22 e. 25 2 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. One b. Two c. Three d. Fo
3、ur e. Infinite 4 Two cars 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
4、候，它需要多久才可以追上甲车？ a. 1 b. 2 c. 3 d. 4 e. 5 5 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
5、个连续整数的总和是 217.那么这个序列中第六个数是几？ a. 13 b. 14 c. 15 d. 16 e. 17 7 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. 15 b. 20 c. 30 d. 40 e.
6、 45 8 The base angles of an isosceles triangle are: Perpendicular Congruent Complimentary Supplementary Parallel 9 If A $ B = A * B - ( A + B), what is 3 $ (2 $ 1)? A. -5 B. -3 C. 0 D. 1 E. 4 10 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 + 1
7、B. x + 1/3 C. 3x + 1 D. 3x + 1/3 E. 3x + 3 1/3 11 In a classroom of 35 students, 14 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 tha
8、t 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. 3 B. 6 C. 8 D. 10 E. unknown 13 If Jeff and Jimmy have 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？ 12 n 14 川16 A. I o
9、nly B. III only C. I & III. D. I & II E. Neither I, II, nor III is correct. 14 Stephanie drove at an average 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
10、? 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 mph B. 60 mph C. 65 mph D. 70 mph E. 75 mph 15 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. 6 B. 12 C. 36 D. 72 E. 108 16 At Joes Steakhouse
11、the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher 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
12、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. $5.95 B. $4.25 C. $5.10 D. $3.25 E. $3.40 17 A florist buys roses at $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，
13、那么他要卖多少枝玫瑰才可以赚到 300 美元？ A. 100 B. 150 C. 200 D. 300 E. 600 18 A certain pump can drain a full 375-gallon tank in 15 minutes. 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. 9 B. 15 C. 18 D. 24 E. 25 19 L
14、ennys 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. 92 B. 93 C. 94 D. 95 E. 96 20 If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following? 如
15、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. 12 B. 18 C. 24 D. 36 E. 54 21 A certain machine can make 3 widgets every 2 seconds. At this rate, how 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. 90 B. 110 C. 150 D. 180 E. 220 22 What is the average of the first 50 positive
16、integers? 前 50 个正整数的平均值是多少？ A. 25 B. 25.5 C. 26 D. 26.5 E. 27 23 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-a B. a-b C. a2b D. ab2 E. a2b2 24 In a certain set of numbers, the ratio of integers to nonintegers is 1:4. What percent of the numbers in the set
17、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 number 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. 42 B. 82 C. 22 D. 62 E. 122 26 Which is greater? 哪一个更大？ Column A (A
18、栏) Column B ( B 栏) 3-5+6-8-4+7 -2 A. the quantity in Column B is greater B. the relationship cannot be determined from the information given C. the quantity in Column A is greater D. the two quantities are equal 27 If a die is tossed twice， the probability of getting a 3 on both tosses is: 一骰子被掷两次，被
19、掷到 3 的比例是多少？ A. 1/4 B. 1/36 C. 1/12 D. 1/6 E. 1/25 28 An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $3
20、06. 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. $325 B. $375 C. $400 D. $408 E. $425 29 If y(x-1)=z then x= A. y-z B. z/y + 1 C. y(z-1) D. z(y-1) E. 1-zy 30 Which of the following values is NOT equal to 34(58+9)? 下面那个值不等于 34(
21、58+9 ) A. 34x67 B. 58(34+9) C. 34 x 58 + 34 x 9 D. 1,972 + 306 E. (9 + 58) 34 31 Two angles of a triangle measure 15 and 85 What is the measure for the third 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. 50 B. 55 C. 60 D. 80 E. 90 32 If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is e
22、qual to how many grams? 若5盎司等于140个，2磅绞肉等于多少克？ A. 863 B. 878 C. 896 D. 915 E. 932 33 Which year did the most children take swimming lessons? 哪一年上游泳课的孩子最多? I I聲聲 乐雲 I I E呂L I I科亘 1 1? ? I I舅丁 ?暹Lpd0-r工 A. 1990 B. 1991 C. 1992 D. 1994 E. 1995 34 Between which year did the largest decrease in children t
23、aking swimming lessons occur? 在那几年之间上游泳课的孩子降幅最大？ A. 1990-1991 B. 1991-1992 C. 1992-1993 D. 1993-1994 E. 1994-1995 35 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. 250 B. 308 C. 385 D. 450 E. 1,850 -2 36 Which of the following is equal
24、 to 5.93 x 10 ? 下面哪个等于 5.93 x 10-2? A. 0.0593 B. 0.00593 C. 593 D. 5930 E. 59300 37 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 miles B. 84 miles C. 124
25、 miles D. 138 miles E. 145 miles 38 How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed? A. 18 B. 24 C. 32 D. 36 E. 43 39 Sarah is twice as old as her younge
26、st brother. If the difference between their ages 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. 10 B. 15 C. 20 D. 25 E. 30 40 Which of the following fractions is equal to 5/6? 下列哪一个分数等于 5 / 6 ？ A. 20/30 B. 15/24 C. 25/30 D. 40/54 E. 2/7 41 What will i
27、t cost to tile a kitchen floor that is 12 feet wide by 20 feet long if 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. $224.51 B. $237.60 C. $246.55 D. $271.38 E. $282.32 42 In a writing competition, the first place winner receives ? of the prize m
28、oney. The second runner up receives ? of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000? 在写作比赛中，第一名可以得到一半的奖金。季军可以得到冠军奖金的四分之一。若冠军得 到 6000 美元，那么总奖金额是多少？ A. $6,000 B. $8,500 C. $12,000 D. $15,000 E. $18,500 43 You are lying 120 ft away from a tre
29、e that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line? 你躺在离一棵树 120 英尺的地方，树高 50英尺。你看向树的顶部。那么从顶部到你那大约有 多远？ A. 50 feet B. 75 feet C. 120 feet D. 130 feet E. 150 feet 44 A cyclist bikes x distance at 10 miles per hour a
30、nd returns over the same path at 8 miles per hour. What is the cyclist s average rate for the round trip in miles per hour? 一个人以每小时每小时 10英里的速度骑自行车 X 英里，然后以在 8英里每小时返回相同的路 径。那么这个人往返的平均速度是多少？ A. 8.1 B. 8.3 C. 8.6 D. 8.9 E. 9.0 45 If edging cost $2.32 per 12-inch stone, and you want a double layer of ed
31、ging your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost? 如果磨边的成本是 2.32 元每 12寸，你想有一个 1 码乘 6码双层磨边花坛。 那么磨边花坛需要 多少成本？ A. $32.48 B. $64.96 C. $97.44 D. $129.92 E. $194.88 46 If 3x=6x-15 then x + 8= A. 5 B. 10 C. 11 D. 12 E. 13 47 The number of milliliters in 1 liter is 1 升是多少毫升 ? A. 10,000 B. 1,000 C. 0.1 D. 0.01 E. 0.001