2015年SSAT模拟题--数学篇

2015年模拟数学试题卷（全卷三个大题，共23小题，共6页；满分120分，考试时间120分钟）参考公式：二次函数y=ax 2+bx+c 的顶点坐标是)4ab 4ac ,2a b (2--．一、选择题（本题有8小题，每小题3分，共24分.请选出各题中唯一的正确选项，不选、多选、错选， 均不给分） 1．﹣3的相反数为（ ）A 、3B 、13C 、﹣3D 、13-2．已知地球上海洋面积约为316 000 000km 2，316 000 000这个数用科学记数法可表示为( ) A ．3.16×109 B ．3.16×108 C ．3.16×107 D ．3.16×106 3．如图所示的是零件三通的立体图，则这个几何体的俯视图是（ ）A B C D4．已知反比例函数1y x-=，下列结论中正确的是（ ）A .图象经过点（1，1）B .图象在第一、三象限C .当1>x 时，10y -<<D .当0<x 时，y 随着x 的增大而减小5．如图，在Rt △ABC 中，90C ∠=︒，4AC =，3BC =，则tan A 的值为（ ） A ．34 B ．43 C ．35 D ．456．已知圆锥的母线长为5，底面半径为3，则圆锥的表面积为（ ） A ．15π B ．24π C ．30π D ．39π7．已知⊙O 1和⊙O 2的半径分别为2cm 和5cm ，两圆的圆心距是3cm ，则两圆的位置关系是（ ）A ．内含B ．外切C ．内切D ．相交8．某班体育委员调查了本班46名同学一周的平均每天体育活动时间，并制作了如图所示的频数分布直方图，从直方图中可以看出，该班同学这一周的平均每天体育活动时间的中位数和众数依次是（ ）A ．40分，40分B ．50分，40分C ．50分，50分D ．40分，50分（第5题图）主视方向（第3题图）6(第16题图）二、填空题（本题有6小题，每小题3分，共18分） 9．计算：23()a ．10．如图，已知//,,35AB CD BC ABE C BEC ∠∠=︒∠平分，则的度数是 ． 11．某校艺术节演出中，5位评委给某个节目打分如下：9分，9.2分，8.9分，8.8分，9.1分，则该节目的平均得分是分．12．阳阳从家到学校的路程为2400米，他早晨8点离开家，要在8点30分到8点40分之间到学校，如果用x 表示他的速度（单位：米/分），则x 的取值范围为 ． 13．如图，在平面直角坐标系xoy 中，直线AB 过点A （－4，0），B （0，4），⊙O 的半径O 为坐标原点），点P 在直线AB 上，过点P 作⊙O 的一条切线PQ ，Q 为切点，则切线长PQ 的 最小值为 ．14．如图，已知直线y ＝2x ＋6交y 轴于点A ，点B 是这条直线上的一点，并且位于第一象限，点P 是直线x=8上的一动点，若△APB 是等腰直角三角形，则点B 的坐标为 ．三、简答题(本题有9小题，共78分)15．（本题10分）（1）计算：101()(2013)3π-+-+ （2）解方程：xx x -=+--23123(第8题图)（第12题图）AD(第15题图)16．（本题6分）如图，图①，图②均为76 的正方形网格，点A ，B ，C 在格点（小正方形的顶点）上．（1）在图①中确定格点D ，并画出一个以A ，B ，C ，D 为顶点的四边形，使其为轴对称图形；（2）在图②中确定格点E ，并画出一个以A ，B ，C ，E 为顶点的四边形，使其为中心对称图形．17．（本题8分）如图，在□ABCD 中，分别延长BA ，DC 到点E ，使得AE=AB ，CH=CD ，连接EH ，分别交AD ，BC 于点F ,G 。

SSAT数学考试真题练习(含答案)SSAT为美国中学入学考试，适用于美国、加拿大私立中学的入学，下面为广大正在备考的考生整理了6道SSAT数学考试真题，并提供了答案，具体详情如下：1.Jamee is five years older than Rachel. In 15 years, their combined ages will be 45. How old is Jamee right now?(A) 5(B) 10(C) 20(D) 25(E) 45答案：B2. If X + = 29，then X =(A) 41(B) 27(C) 17(D)-17(E)-41答案：C3. The paperboy needs to deliver 30 sacks of newspapers to the houses in hisneighborhood. If each sack weighs the same amount, and the total weight ofhis load is 150 pounds when he leaves his house, what is the weight of his loadafter he delivers 15 of the sacks?(A)115 pounds(B)105 pounds(C)75 pounds(D)65 pounds(E)50 pounds答案：C4. The average of five consecutive whole numbers is 18. What is the smallest ofthese numbers?(A) 14(B) 15(C) 16(D) 17(E) 18答案：C5. The least common multiple of 8, 5, and 12 is:A: 100B: 90C: 135D: 120答案：D6. The town of Cedar Hill has 750 television sets. If there are 1.5 television setsfor each person, what is the population of Cedar Hill?A: 1100B: 1125C: 500D: 1000答案：C如何更加快速有效的搞定SSAT数学题目，不妨看看我们整理的SSAT数学解题策略：一、需要明白题目的英文表述。

2015年6月13日SSAT预测2015年6月13日SSAT预测下载地址：/ssat/zt/20150424/xxq-2015n6y13rssatksjj.html?seo=wenku6.069小马老师为了考生能够成功备考2015年6月13日SSAT考试，特发布了2015年6月13日SSAT预测，考生可以进入下载地址免费索取下载使用。

2015年6月13日SSAT预测部分内容：1. Vivian wants to plant a vegetable garden that contains only tomatoes and cucumbers. However, she has a limited amount of space for the garden, and she can only afford to buy a specific number of each vegetable. Vivian has enough space to plant a total of 40 vegetables, and she has a total of $80 to purchase the vegetables. Tomatoes cost $1 per plant and cucumbers cost $3 per plant. Let T represent the number of tomatoes and let C represent the number of cucumbers Vivian will plant in her garden.Which system of linear equations can be used to solve for the number of tomatoes and cucumbers Vivian will plant in her garden?a. T + C = 40 and T + 3C = 80b. T + 3C = 40 and T + C = 80c. T + C = 80 and T + 3C = 40d. 3T + C = 80 and T + C = 40The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryparallelHow many points are necessary to define a line?a. Oneb. Twoc. Threed. Foure. Infinite2015年6月13日SSAT预测下载地址：/ssat/zt/20150424/xxq-2015n6y13rssatksjj.html?seo=wenku6.069。

2015年上海市初中毕业统一学业考试最新数学模拟试卷一、选择题（每小题4分，共24分）A ．155°B ．145°C ．110°D ．35°3.下列标志中，可以看作是轴对称图形的是（ ）（A ） （B ） （C ） （D ） 4.如图，在 平行四边形ABCD 中，点E 是边AD 的中点，EC 交对角线BD 于点F ， 则EF ︰FC 等于（ ）（A ）3︰2 （B ）3︰1 （C ）1︰1 （D ）1︰25.某公司欲招聘一名公关人员，对甲、乙、丙、丁四位候选人进行了面试和笔试，他们的成 绩如下表所示：如果公司认为，作为公关人员面试的成绩应该比笔试的成绩更重要，并分别赋予它们6和4的权. 根据四人各自的平均成绩，公司将录取（A ）甲 （B ）乙 （C ）丙 （D ）丁B6．如图，直线y1=x+b与y2=kx﹣1相交于点P，点P的横坐标为﹣1，则关于x的不等式x+b＞kx﹣1的解集在数轴上表示正确的是（）A．B．C．D．二、填空题（每小题4分，共48分）7．分解因式：2x2﹣8= ．8.在函数中，自变量x的取值范围是_________．9.数学小组五名同学在一次测试中的数学成绩分别为98，96，97，100，99，则该小组五名同学该次测试数学成绩的方差为_________．10.现有一圆心角为120°，半径为9cm的扇形纸片，用它恰好围成一个圆锥的侧面（接缝忽略不计），则围成的圆锥的高为_________cm．11.如图所示，以边长为2的等边△ABO的顶点O为坐标原点，点B在x轴上，则经过点A 的反比例函数的表达式为_________．12．不等式组的解集为________．13．观察下列一组数：，，，，，…，它们是按一定规律排列的，那么这一组数的第n个数是_________．14．如图，在Rt△ABC中，∠ABC=90°，AB=3，AC=5，点E在BC上，将△ABC沿AE折叠，使点B落在AC边上的点B′处，则BE的长为_________．15．从﹣1，1，2这三个数字中，随机抽取一个数，记为a，那么，使关于x的一次函数y=2x+a 的图象与x轴、y轴围成的三角形的面积为，且使关于x的不等式组有解的概率为_________．16．如图，正方形ABCD的边长为6，点O是对角线AC、BD的交点，点E在CD上，且DE=2CE，过点C作CF⊥BE，垂足为F，连接OF，则OF的长为________．17．如图，双曲线y=经过Rt△BOC斜边上的点A，且满足=，与BC交于点D，S△BOD=21，求k= ．18．如图，在第1个△A1BC中，∠B=30°，A1B=CB；在边A1B上任取一点D，延长CA1到A2，使A1A2=A1D，得到第2个△A1A2D；在边A2D上任取一点E，延长A1A2到A3，使A2A3=A2E，得到第3个△A2A3E，…按此做法继续下去，则第n个三角形中以A n为顶点的内角度数是。

2015上半年SAT模拟试题：数学2015上半年SAT模拟试题：数学1. Which of the following could be a value of x, in the diagram above?A. 10B. 20C. 40D. 50E. any of the above2. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?A. 10B. 15C. 20D. 253. Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?A. 5 : 1B. 10 : 5C. 15 : 2D. 20 : 2E. 25 : 24. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?A. 2.5πB. 3πC. 5πD. 4πE. 10π5. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?A. 4C. 8D. 12E. it cannot be determined from the information given.答案：1.Correct Answer: BExplanation:The marked angle, ABC must be more than 90 degrees because it is the external angle of triangle BDC, and must be equal to the sum of angles BDC (90) and DCB. Also ABC is not a straight line and must be less than 180. Therefore 90 5x 180 The only value of x which satisfies this relation is 20.2.Correct Answer: AExplanation:20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.3.Correct Answer: EExplanation:Indian stamps are common to both ratios. Mulltiply both ratios by factors such that the Indian stamps are represented by the same number. US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.Now US : Indian = 25 : 10, and Indian : British = 10 : 2 Hence the two ratios can be combined and US : British = 25 : 24.Correct Answer: CExplanation:Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle, and is therefore, 5. Circumference = π.diameter = 5π5.Correct Answer: DExplanation:If two sets of four consecutive integers have one integer in common, the total in the combined set is 7., and we can write the sets as n + (n + 1) + (n + 2) + (n + 3 ) and (n + 3) + (n + 4) + (n + 5) + (n + 6) Note that each term in the second set is 3 more than the equivalent term in the first set. Since there are four terms the total of the differences will be 4 x 3 = 12更多推荐：| | | | |。

2015年高考数学模拟金卷（二）（说明：本套试卷满分150分，考试时间120分钟）一、选择题：本大题共12小题，每小题5分，共60分， 1. 设i为虚数单位，复数z1=1+i，z2=2i-1，则复数z1?z2在复平面上对应的点在（）A. 第一象限B. 第二象限C. 第三象限D. 第四象限2. 一名同学先后投掷一枚骰子两次，第一次向上的点数记为x，第二次向上的点数记为y，在直角坐标系xOy中，以（x，y）为坐标的点落在直线2x+y=8上的概率为（）A. B. C. D.3. （理）已知曲线C1：x2+y2-2x=0和曲线C2：y=xcosθ-sinθ（θ为锐角），则C1与C2的位置关系可能为（）A. 相交B. 相切C. 相离D. 以上情况均有（文）若实数x，y满足约束条件x+y≥0，x-y+3≥00≤x≤3，，则z=2x-y 的最大值为（）A. -B. 11C.0D. 94. 2015年某中学派出5名优秀教师去某地区的三所中学进行教学交流，每所中学至少派一名教师，则不同的分配方法有（）A. 80种B. 90种C. 120种D. 150种5. 设数列{an}是以2为首项，1为公差的等差数列，{bn}是以1为首项，2为公比的等比数列，则a +a +…+a 等于（）A. 1033B. 1034C. 2057D. 20586. 不等式 0的解集记为q，已知p是q的充分不必要条件，则实数a 的取值范围是（）A. （-2，-1]B. [-2，-1]C.D. [-2，+∞）7. 下面四个命题：①“直线a∥直线b”的充要条件是“a平行于b所在的平面”；②“直线l⊥平面α内所有直线”的充要条件是“l⊥平面α”；③“直线a，b为异面直线”的充分不必要条件是“直线a，b不相交”；④“平面α∥平面β”的必要不充分条件是“α内存在不共线三点到β的距离相等”.其中正确命题的序号是（）A. ①②B. ②③C. ③④D. ②④8. 椭圆 + =1（a>b>0）的两顶点为A（a，0），B（0，b），且左焦点为F，△FAB是以角B为直角的直角三角形，则椭圆的离心率e为（）A. B. C. D.9. 某品牌香水瓶的三视图如图1（单位：cm），则该几何体的表面积为（）图1A. 95-B. 94-C. 94+D. 95+10. 如图2所示的程序框图输出的结果是（）A. 6B. -6C. 5D. -5图211. △ABC中，∠A=60°，∠A的平分线AD交边BC于D，已知AB=3，且= +λ （λ∈R），则AD的长为（）A. 1B.C. 2D. 312. 已知函数f（x）的定义域为[-1，5]，部分对应值如表1， f（x）的导函数y=f ′（x）的图象如图3所示，下列关于函数f（x）的命题：①函数f（x）的值域为[1，2]；②函数f（x）在[0，2]上是减函数；③如果当x∈[-1，t]时，f（x）的最大值是2，那么t的最大值为4；④当1 A. 4个 B. 3个 C. 2个 D. 1个图3二、填空题：本大题共4小题，每小题5分，共20分，13. （理）某中学200名考生的高考数学成绩近似服从正态分布N（120，100），则此校数学成绩在140分以上的考生人数约为_______.（注：正态总体N（μ，σ2）在区间（μ-2σ，μ+2σ）内取值的概率约为0.954）（文）某校现有高一、高二、高三三个年级共48个教学班，各年级学生数分别是1000，1050，1200，若按分层抽样从全校抽出65名学生，则高二年级比高一年级多抽出_______名学生.14. （理）若锐角α，β满足（1+ tanα）（1+ tanβ）=4，则α+β=_________.（文）函数f（x）=sinx?cosx-sin2x的最小正周期是_________.15. 设a，b均为大于1的正数，且ab+a-b-10=0，若a+b的最小值为m，则m=_________，满足3x2+2y2≤m的整点（x，y）的个数为_________.16. 如图4中的三角形称为希尔宾斯基三角形，在四个三角形中，黑色三角形的个数依次构成数列{an}的前四项，依此着色方案继续对三角形着色，图4（1）黑色三角形的个数的通项公式an=_________；（2）若数列{bn}满足bn= ?an+1，记M=C +C +C ?b1+C ?b2+…+C ?b19，则M的个位数是_________.三、解答题：本大题共6小题，共70分，17. （本小题满分12分）已知单调递增的等比数列{an}满足：a2+a3+a4=28，且a3+2是a2，a4的等差中项.（1）求数列{an}的通项公式；（2）设bn=anlog an，求数列{bn}的前n项和Sn.18. （本小题满分12分）如图5，四棱柱ABCD-A1B1C1D1的底面ABCD 是平行四边形，且AA1⊥底面ABCD，AB=2，AA1=BC=4，∠ABC=60°，点E 为BC中点，点F为B C 中点.（1）求证：平面A1ED⊥平面A1AEF；（2）（理）设二面角A1-ED-A的大小为α，直线AD与平面A1ED所成的角为β，求sin（α+β）的值.（文）求三棱锥E-A1FD的体积.19. （本小题满分12分）某市为“市中学生知识竞赛”进行选拔性测试，且规定：成绩大于或等于90分的有参赛资格，90分以下（不包括90分）的则被淘汰. 若现有500人参加测试，学生成绩的频率分布直方图如图6所示：（1）求获得参赛资格的人数；（2）根据频率直方图，估算这500名学生测试的平均成绩；（3）（理）若知识竞赛分初赛和复赛，在初赛中每人最多有5次选题答题的机会，累计答对3题或答错3题即终止，答对3题者方可参加复赛，已知参赛者甲答对每一个问题的概率都相同，并且相互之间没有影响，已知他连续两次答错的概率为，求甲在初赛中答题个数的分布列及数学期望.（文）若知识竞赛分初赛和复赛，在初赛中每人最多有5次选题答题的机会，累计答对3题或答错3题即终止，答对3题者方可参加复赛，已知参赛者甲答对每一个问题的概率都相同，并且相互之间没有影响，已知他连续两次答错的概率为，求甲在初赛中答题个数为3时的概率.20. （本小题满分12分）如图7，曲线C1是以原点O为中心，F1，F2为焦点的椭圆的一部分，曲线C2是以O为顶点，F2（1，0）为焦点的抛物线的一部分，A ，是曲线C1和C2的交点.（1）求曲线C1和C2所在的椭圆和抛物线的方程.（2）过F2的一条与x轴不垂直的直线，分别与曲线C1，C2依次交于B，C，D，E四点.①求△CDF1面积的取值范围.②（只理科做）若G为CD中点，H为BE中点， ? 是否为定值？若是，求出此定值；若不是；请说明理由.21. （本小题满分12分）（理）函数f（x）=x3+ax2+bx的图象C与x 轴相切于不同于原点的一点，且f（x）的极小值为-4.（1）求函数f（x）的解析式及单调区间；（2）过曲线C上一点P1（x1，y1）（P1不是C的对称中心）作曲线C 的切线，切C于不同于P1（x1，y1）的另一点P2（x2，y2），再过P2（x2，y2）作曲线C的切线，切C于不同于P2（x2，y2）的另一点P3（x3，y3），…，过Pn（xn，yn）作曲线C的切线，切C于不同于Pn（xn，yn）的另一点Pn+1（xn+1，yn+1）. 令x1=-1，求{xn}的通项公式.（文）函数f（x）=x3+ax2+bx的图象与x轴相切于点（-3，0），且函数存在极值.（1）求函数f（x）的解析式及单调区间；（2）过函数y=f（x）图象上一点P1（x1，y1）（P1不是y=f（x）图象的对称中心）作曲线的切线，切于不同于P1（x1，y1）的另一点P2（x2，y2），再过P2（x2，y2）作曲线的切线，切于不同于P2（x2，y2）的另一点P3（x3，y3），…，过Pn（xn，yn）作曲线的切线，切于不同于Pn（xn，yn）的另一点Pn+1（xn+1，yn+1），求xn与xn+1的关系.选做题请考生在第22、23、24三题中任选一题作答，若多做，则按所做的第一题记分.22. （本小题满分10分）选修4-1：几何证明选讲如图8，△ABC内接于⊙O，且AB=AC，过点A的直线交⊙O于点P，交BC的延长线于点D.（1）求证：AC2=AP?AD；（2）若∠ABC=60°，⊙O的半径为1，且P为的中点，求AD的长.23. （本小题满分10分）选修4-4：坐标与参数方程已知直线l经过点P（1，1），且l的一个方向向量v=（，1）.（1）写出直线l的参数方程；（2）设l与圆x2+y2=9相交于两点A，B，求点P到A，B两点间的距离之积.24. （本小题满分10分）选修4-5：不等式选讲已知x-a希望以上资料对你有所帮助，附励志名3条：1、积金遗于子孙，子孙未必能守；积书于子孙，子孙未必能读。

SSAT数学练习题测试讲解SSAT数学练习题1 What is the perimeter of a rectangle with side lengths of 8 and 3?a. 6b. 11 c, 16 d. 22 e. 252 The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryparallel3 How many points are necessary to define a line?a. Oneb. Twoc. Threed. Foure. Infinite4 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?a. 1b. 2c. 3d. 4e. 55 What interest rate is necessary to get $1000 in interest over 2 years on a $__ investment?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? a. 13 b. 14 c. 15 d. 16 e. 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?a. 15b. 20c. 30d. 40e. 458 The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryParallel9 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?A. x + 1B. x + 1/3C. 3x + 1D. 3x + 1/3E. 3x + 3 1/311 In a classroom of 35 students, 14 our male. What percentof the classroom is male?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?A. 3B. 6C. 8D. 10E. unknown13 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?Ⅰ12Ⅱ14Ⅲ16A. I onlyB. III onlyC. I III.D. I IIE. 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?A. 55 mphB. 60 mphC. 65 mphD. 70 mphE. 75 mph15 If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas?A. 6B. 12C. 36D. 72E. 10816 At Joes Steakhouse the hourly wage for a chef is 20% greater than that of adishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage ofa manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?A. $5.95B. $4.25C. $5.10D. $3.25E. $3.4017 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?A. 100B. 150C. 200D. 300E. 60018 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?A. 9B. 15C. 18D. 24E. 2519 Lenny's average score after 3 tests is 88. What score on the 4th test would bring Lenny's average up to exactly 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?A. 12B. 18C. 24D. 36E. 5421 A certain machine can make 3 widgets every 2 seconds. At this rate, how many widgets will be made in 1 minute?A. 90B. 110C. 150D. 180E. 22022 What is the average of the first 50 positive integers?A. 25B. 25.5C. 26D. 26.5E. 2723 If ab is negative, which of the following CANNOT be negative?A. b-aB. 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?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?A. 42B. 82C. 22D. 62E. 12226 Which is greater?Column A Column B3-5+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. the two quantities are equal27 If a die is tossed twice the probability of getting a 3 on both tosses is:A. 1/4B. 1/36C. 1/12D. 1/6E. 1/2528 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 $306. How much did it originally cost?A. $325B. $375C. $400D. $408E. $42529 If y(x-1)=z then x=A. y-zB. z/y + 1C. y(z-1)D. z(y-1)E. 1-zy30 Which of the following values is NOT equal to 34(58+9)?A. 34 x 67B. 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 the third angle?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 equal to how many grams?A. 863B. 878C. 896D. 915E. 93233 Which year did the most children take swimming lessons?A. 1990B. 1991C. 1992D. 1994E. 199534 Between which year did the largest decrease in children taking swimming lessons occur?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?A. 250B. 308C. 385D. 450E. 1,85036 Which of the following is equal to 5.93 x 10-2?A. 0.0593B. 0.00593C. 593D. 5930E. __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?A. 65 milesB. 84 milesC. 124 milesD. 138 milesE. 145 miles38 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. 18B. 24C. 32D. 36E. 4339 Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?A. 10B. 15C. 20D. 25E. 3040 Which of the following fractions is equal to 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?A. $224.51B. $237.60C. $246.55D. $271.38E. $282.3242 In a writing competition, the first place winner receives of the prizemoney. 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?A. $6,000B. $8,500C. $12,000D. $15,000E. $18,50043 You are lying 120 ft away from a tree 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 treein a straight line?A. 50 feetB. 75 feetC. 120 feetD. 130 feetE. 150 feet44 A cyclist bikes x distance at 10 miles per hour and 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?A. 8.1B. 8.3C. 8.6D. 8.9E. 9.045 If edging cost $2.32 per 12-inch stone, and you want a double layer of edging your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?A. $32.48B. $64.96C. $97.44D. $129.92E. $194.8846 If 3x=6x-15 then x + 8=A. 5B. 10C. 11D. 12E. 1347 The number of milliliters in 1 liter is。

2015年初中毕业班学业水平考试暨高中招生模拟测试数学 全卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分.第Ⅰ卷1至2页，第Ⅱ卷3至6页.满分120分，考试时间共120分钟.注意事项：1．答题前，考生务必将自己的姓名、座位号、报名号（考号）写在答题卡上，并将条形码贴在答题卡上对应的虚线框内.同时在答题卡背面第3页顶端用2B 铅笔涂好自己的座位号.2．第Ⅰ卷每小题选出的答案不能答在试卷上，必须用2B 铅笔在答题卡上把对应题目．．．．的答案标号涂黑，如需改动，用橡皮擦擦净后，再选涂其它答案.第Ⅱ卷必须用0.5mm 黑色墨水签字笔书写在答题卡上的指定位置.不在指定区域作答的将无效.3．考试结束，监考人员只将答题卡收回.第Ⅰ卷（选择题 共30分）一、选择题：（每题3分，共30分）1、9的算术平方根是（ ）A ．±3B ．-3C ．3D ．±812、下列各式计算正确的是（ ）A ．222)（x y x y -=- B ．32-x x x = C ．235()x x = D ．54x x x ÷=3、右图是由四个相同的小长方体组成的立体图形，这个立体图形的正视图是（ ）4、下列说法正确的是 （ ）A ．为了了解我市今年夏季冷饮市场冰淇淋的质量，可采用普查的调查方式B ．打开电视机，正在播广告是必然事件C ．销售某种鞋，销售商最感兴趣的是所销售的鞋的尺码的平均数D ．当我市考查人口年龄结构时，符合这一条件的所有资阳市的公民的年龄就是一个样本5、如图1，把一块直角三角板的直角顶点放在直尺的一边上，若∠1=32°，则∠2的度数是（ ）；A ．32°B ．58°C ．68°D ．60° 6、一件商品的原价是100元，经过两次提价后的价格为121元，如果每次提价的百分率都是x ，根据题意，下面列出的方程正确的是（ ）A ．100(1)121x +=B ．100(1)121x -=图数学第1页C ．2100(1)121x +=D ．2100(1)121x -=7、如图2，A 、B 两点在数轴上表示的数分别为a 、b ，下列式子成立的是（ ）A ．ab ＞0B ．a +b ＜0C ．（b ﹣1）（a +1）＞0D ．（b ﹣1）（a ﹣1）＞08、如图3，⊙O 是△ABC 的外接圆，∠BAC =60°，若⊙O 的半径0C 为2，则弦BC 的长为（ ）A ．1 BC ．2 D．9、如图4，△ABD 是等边三角形，以AD 为边向外作△ADE ，使∠AED=30°，且AE =3,DE =2，连接BE ，则BE 的长为（ ）A ．4 BC ．5 D10、如图5，二次函数y=ax 2+bx+c (a ≠0)的图象与x 轴交于A 、B 两点，与y 轴交于C 点，且对称轴为直线x =1，点B 坐标为(－1，0)．则下面的四个结论：①2a +b =0；②8a +c ＜0；③abc ＞0；④当y ＜0时，x ＜－1或x ＞2，⑤对任意实数m ，()m am b a b +≤+.其中正确的结论有（ ）个A ．2B ．3C ．4D ．5第Ⅱ卷（非选择题 共90分）注意事项：1．请用0.5毫米的黑色签字笔在答题卡相应区域作答，超出答案区域的答案无效.2．试卷中标“▲”及方框处是需要你在第Ⅱ卷答题卡上作答的内容或问题.请注意准确理解题意、明确题目要求，规范地表达、工整地书写解题过程或结果.二、填空题：（每题3分，共18分）11、PM2.5是指大气中直径小于或等于0.0000025米的颗粒物，0.0000025米用科学记数图 2 图3法表示应为 米；12、有一组数据：5、2、6、5、4，它们的中位数是 ；13、已知：P A 、PB 与⊙O 相切于A 点、B 点，OA ＝1，P A ＝3，则图6中阴影部分的面积是 （结果保留π）；14、若关于x 的一元二次方程2(1)320m x x -+-=总有两个不相等的实数根，则实数m 的取值范围是 ；15、如图7所示，在三角形ABC 中，点D 、E 分别是边AB 、AC 的中点，DF 过EC 的中点G 并与BC 的延长线交于点F ，BE 与DE 交于点O ．若△ADE 的面积为2，则四边形BOGC 的面积为 ；16、如图8，()111P ,x y ，()222P ,x y ，……()P ,n n n x y 在函数()10y x x =>的图象上，△11POA 、△212P A A 、△323P A A 、……△1n n n P A A -都是等腰直角三角形，斜边1OA 、12A A 、23A A 、，……1n n A A -都在x 轴上（n 是大于或等于2的正整数），则点n P 的坐标是 .（用含n 的式子表示）．三、解答题：（共72分）17、（7分）解方程：11322x x x-+=-- ；18、（8分）某校开展了以“人生观、价值观”为主题的班队活动，活动结束后，初三（2）班数学兴趣小组提出了5个主要观点并在本班50名学生中进行了调查（要求每位同学只选自己最认可的一项观点），并制成了如图9所示的扇形统计图.（1）该班学生选择“和谐”观点的有 人，在扇形统计图中，“和谐”观点所在扇形区域的圆心角是 度.（2）如果该校有1500名初三学生，利用样本估计选择“感恩”观点的初三学生约有 人. 图6 图7 图8 图9（3）如果数学兴趣小组在这5个主要观点中任选两项观点在全校学生中进行调查，求恰好选到“和谐”和“感恩”观点的概率（用树状图或列表法分析解答）19.（8分）关于x 的不等式组23(2)24x a x x -≥-⎧⎨-<⎩ （1）若2a =.求这个不等式组的解集.（2）若这个不等式组的整数解有3个，求a 的取值范围.20、（8分）如图10，在⊙O 中，AB =AC ，BD 为直径，弦AD 与BC 相交于点E ，延长DA 到F ，使∠ABF =∠ABC .（1）求证：BF 是⊙O 的切线；（2）若AD=8，tan ∠ABF =34，求DE 的长．21、（9分）如图11，在平面直角坐标系中，直线l 与x 轴相交于点M （3,0），与y 轴相交于点N （0，-4），反比例函数k y x =（x ＞0）的图象经过线 段MN 的中点A ，（1）求直线l 和反比例函数的解析式；（2）在函数k y x=（x ＞0）的图象上取异于点A 的一点B ， 作BC ⊥x 轴于点C ，连接OB 交直线l 于点P ．若△ONP 的 面积是△OBC 面积的3倍，求点P 的坐标．图10图1122、（9分）如图12，一艘船以每小时60海里的速度自A向正北方向航行，船在A处时，灯塔S在船的北偏东30°，航行1小时后到B处，此时灯塔S在船的北偏东75°，（运算结果保留根号）（1）求船在B处时与灯塔S的距离；（2）若船从B处继续向正北方向航行，问经过多长时间船与灯塔S的距离最近．23、（11分）如图13所示，现有一张边长为4的正方形纸片ABCD，点P为正方形AD 边上的一点（不与点A、点D重合）将正方形纸片折叠，使点B落在P处，点C落在G处，PG交DC于H，折痕为EF，连接BP、BH．（1）求证：∠APB=∠BPH；（2）当点P在边AD上移动时，△PDH的周长是否发生变化？并证明你的结论；（3）设AP为x，四边形EFGP的面积为S，求出S与x的函数关系式，试问S是否存在最小值？若存在，求出这个最小值；若不存在，请说明理由．24、（12分）如图14-1，在直角坐标系中，O是坐标原点，点A在y轴正半轴上，二次函数y=ax2+16x+c的图象F交x轴于B、C两点，交y轴于M点，其中B（﹣3，0），M（0，﹣1）．已知AM=BC．（1）求二次函数的解析式；（2）证明：在抛物线F上存在点D，使A、B、C、D四点连接而成的四边形恰好是平行四边形，并请求出直线BD的解析式；（3）在（2）的条件下，设直线l过D且分别交直线BA、BC于不同的P、Q两点，AC、BD相交于N．①若直线l⊥BD，如图1，试求11BP BQ的值；图12图13②若l为满足条件的任意直线，如图14-2．①中的结论还成立吗？若成立，证明你的猜想；若不成立，请举出反例。

2015届高考模拟试卷数学试题（理科）本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分，第I 卷第1至第2页，第II 卷第3至第4页。

全卷满分150分，考试时间120分钟。

第Ⅰ卷(选择题 共50分)一、选择题：本大题共10小题，每小题5分，共50分．在每小题给出的四个选项中．只有一项是符合题目要求的．1. 若复数z 满足i i z -=+1)1(（i 是虚数单位)，则z 的共轭复数z = A ．i -B ．i 2-C ．iD ．i 22．某几何体的三视图如图所示，其中俯视图是个半圆，则该几何体的表面积为( )A.32π B ．π＋ 3 C.32π＋ 3 D.52π＋ 33.在极坐标系中，过点(2,)6π且垂直于极轴的直线的极坐标方程是( )A.ρθ=B.ρθ=C.sin ρθ=D.cos ρθ=4．图(1)是某高三学生进入高中三年来 的数学考试成绩茎叶图，第1次到第 14次的考试成绩依次记为A 1，A 2，…， A 14.图(2)是统计茎叶图中成绩在一定 范围内考试次数的一个算法流程图． 那么算法流程图输出的结果是( )A ．7B ．8C ．9D ．105．已知“命题p ：∃x ∈R ，使得ax 2＋2x ＋1<0成立”为真命题，则实数a 满足( ) A ．[0,1) B ．(－∞，1) C ．[1，＋∞) D ．(－∞，1]6．若函数f (x )＝(k －1)·a x －a －x (a ＞0且a ≠1) 在R 上既是奇函数，又是减函数， 则g (x )＝log a (x ＋k )的图象是( )7.等比数列{}n a 的首项为1，公比为q ，前n 项和记为S,由原数列各项的倒数组成一个新数列1{}n a ，则1{}na 的前n 项之和'S 是（ ）A.1SB.1n q SC.n q SD. 1n S q -8. 若实数,x y 满足1000x y x y x -+≥⎧⎪+≥⎨⎪≤⎩，则23x yz +=的最小值是（ ）A ．9. 若二项式*(2)()n x n N -∈的展开式中所有项的系数的绝对值之和是a ，所有项的二项式系数之和是b ，则b aa b+的最小值是（ ） A.2 B.136 C.73 D.15610.有7张卡片分别写有数字1，1,1,2,2,3,4，从中任取4张，可排出的四位数有（ ）个A.78B. 102C.114D.120第Ⅱ卷(非选择题共100分)请用0 5毫米黑色墨水签字笔在答题卡上作答，在试题卷上答题无效。

SSAT 数学练习题简介：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。

数学英文练习题的目的：1.让国内中考学生有不一样的体验，在英文情景中做数学题2.让想进入国内高中国际部的学生熟悉数学英文词汇3.让想出国的学生大致了解国外考试情况练习题：1 What is the perimeter of a rectangle with side lengths of 8 and 3?a. 6b. 11 c, 16 d. 22 e. 252 The base angles of an isosceles triangle are:a. Perpendicularb. Congruentc. Complimentaryd. Supplementarye. Parallel3 How many points are necessary to define a line?a. Oneb. Twoc. Threed. Foure. Infinite4 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?a. 1b. 2c. 3d. 4e. 55 What interest rate is necessary to get $1000 in interest over 2 years on a $10000 investment?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?a. 13b. 14c. 15d. 16e. 1717 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?a. 15b. 20c. 30d. 40e. 458 If 3x=6x-15 then x + 8=A. 5B. 10C. 11D. 12E. 139 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?A. x + 1B. x + 1/3C. 3x + 1D. 3x + 1/3E. 3x + 3 1/311 In a classroom of 35 students, 14 are male. What percent of the classroom is male?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?A. 3B. 6C. 8D. 10E. unknown13 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?Ⅰ12Ⅱ14Ⅲ16A. I onlyB. III onlyC. I & III.D. I & IIE. 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?A. 55 mphB. 60 mphC. 65 mphD. 70 mphE. 75 mph15 If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas?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 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?A. $5.95B. $4.25C. $5.10D. $3.25E. $3.4017 A florist buys roses at $0.50 a piece and sells them for $1.00 a piece. If there are noother expenses, how many roses must be sold in order to make a profit of $300?A. 100B. 150C. 200D. 300E. 60018 A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how manymore minutes would it take to drain a full 600-gallon tank?A. 9B. 15C. 18D. 24E. 2519 Lenny's average score after 3 tests is 88. What score on the 4th test would bringLenny's average up to exactly 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?A. 12B. 18C. 24D. 36E. 5421 A certain machine can make 3 widgets every 2 seconds. At this rate, how many widgets will be made in 1 minute?A. 90B. 110C. 150D. 180E. 22022 What is the average of the first 50 positive integers?A. 25B. 25.5C. 26D. 26.5E. 2723 If ab is negative, which of the following CANNOT be negative?A. b-aB. 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?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?A. 42B. 82C. 22D. 62E. 12226 Which is greater?Column A Column B3-5+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.the two quantities are equal27 If a die is tossed twice，the probability of getting a 3 on both tosses is:A. 1/4B. 1/36C. 1/12D. 1/6E. 1/2528 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 $306. How much did it originally cost?A. $325B. $375C. $400D. $408E. $42529 If y(x-1)=z then x=A. y-zB. z/y + 1C. y(z-1)D. z(y-1)E. 1-zy30 Which of the following values is NOT equal to 34(58+9)?A. 34 x 67B. 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 the third angle?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 equal to how many grams?A. 863B. 878C. 896D. 915E. 93233 Which year did the most children take swimming lessons?A. 1990B. 1991C. 1992D. 1994E. 199534 Between which year did the largest decrease in children taking swimming lessons occur?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?A. 250B. 308C. 385D. 450E. 1,85036 Which of the following is equal to 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?A. 65 milesB. 84 milesC. 124 milesD. 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 the difference between theirages is 15 years. How old is her youngest brother?A. 10B. 15C. 20D. 25E. 3040 W hich of the following fractions is equal to 5/6?A. 20/30B. 15/24C. 25/30D. 40/54E. 2/741 W hat 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?A. $224.51B. $237.60C. $246.55D. $271.38E. $282.3242 In a writing competition, the first place winner receives ½ of the prizemoney. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?A. $6,000B. $8,500C. $12,000D. $15,000E. $18,50043 You are lying 120 ft away from a tree that is 50 feet tall. You look up at thetop of the tree. Approximately how far is your hear from the top of the treein a straight line?A. 50 feetB. 75 feetC. 120 feetD. 130 feetE. 150 feet44 A cyclist bikes x distance at 10 miles per hour and 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?A. 8.1B. 8.3C. 8.6D. 8.9E. 9.045 If edging cost $2.32 per 12-inch stone, and you want a double layer of edgingyour flower bed that is 6 yards by 1 yard. How much will edging you flower bedcost?A. $32.48B. $64.96C. $97.44D. $129.92E. $194.8846 The number of milliliters in 1 liter isA. 10,000B. 1,000C. 0.1D. 0.01E. 0.00161 What is the perimeter of a rectangle with side 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. 6b. 11 c, 16d. 22 e. 252 The base angles of an isosceles triangle are:等腰三角形的底角是：a. Perpendicular 垂直b. Congruent 全等c. Complimentary 互余d. Supplementary 互补e. 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 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 takefor the second car to catch up?两辆车从一个地方出发，一个先走两个小时。

○…………外…………○…………装…………○…………订…………○…………线…………○…………学校:___________姓名：___________班级：___________考号：___________○…………内…………○…………装…………○…………订…………○…………线…………○…………2015年高考数学模拟预测试卷（新课标）1．复数1z i =-,则1z z+对应的点所在的象限为（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限2．若集合{}{}22|228,|20x A x Z B x R x x +=∈<≤=∈->,则R C B A （）所含的元素个数为（ ）A ．0B ．1C ．2D ．33．设随机变量ξ服从正态分布2N 1σ（，）,若P 2)0.8ξ<=（,则(01)P ξ<<的值为（ ）A ．0.2B ．0.3C ．0.4D ．0.64．已知双曲线的一个焦点与抛物线220x y =的焦点重合,且其渐近线的方程为340x y ±=,则该双曲线的标准方程为（ ）A ．221916x y -= B ．221169x y -= C ．221916y x -= D ．221169y x -= 5．执行如图所示的程序框图，若输入2x =，则输出y 的值为（ ）A ．2B ．5C ．11D ．236．已知等比数列{}n a ,且224804,a a x dx +=-⎰则62610(2)a a a a ++的值为（ ）A ．2π B ．4 C ．π D ．9π-7．现采用随机模拟的方法估计某运动员射击4次,至少击中3次的概率：先由计算器给出0到9之间取整数值的随机数，指定0，1表示没有击中目标，2，3，4，5，6，7，8，9表示击中目标，以4个随机数为一组,代表射击4次的结果,经随机模拟产生了20组随机数:7527 0293 7140 9857 0347 4373 8636 6947 1417 4698 0371 6233 2616 8045 6011 3661 9597 7424 7610 4281 根据以上数据估计该射击运动员射击4次至少击中3次的概率为（ ） A ．0.852 B ．0.8192 C ．0.8 D ．0.758．已知0a >,,x y 满足约束条件()133x x y y a x ⎧≥⎪+≤⎨⎪≥-⎩,若2z x y =+的最小值为1,则a =（ ） 11开始输入x21y x =+8?x y ->输出y 结束是否x y =○…………外…………○…………装…………○…………订…………○…………线…………○…………※※请※※不※※要※※在※※装※※订※※线※※内※※答※※题※※○…………内…………○…………装…………○…………订…………○…………线…………○…………9．设函数()f x 是定义在R 上的奇函数，当0x >时，()23,x f x x =+-则()f x 的零点个数为（ ）A ．1B ．2C ．3D ．4 10．已知直线,m l ，平面,,αβ且,,m l αβ⊥⊂给出下列命题：①若α∥β，则m l ⊥； ②若αβ⊥，则m ∥l ； ③若m l ⊥，则αβ⊥； ④若m ∥l ，则αβ⊥. 其中正确的命题的个数是（ ） A ．1 B ．2 C ．3 D ．411．三棱锥P ABC -中，PA ⊥平面ABC ，,1,3AC BC AC BC PA ⊥===，则该三棱锥外接球的表面积为（ ）A ．5πB ．2πC ．20πD ．4π12．ABC ∆的外接圆半径为1，圆心为O ，且3450OA OB OC ++=，则OC AB ⋅的值为（ ） A ．15- B ．15 C ．65- D ．65 13．已知0m >,6260126(1),mx a a x a x a x +=++++若12663a a a +++=，则实数m =14．一个几何体的三视图如图所示，则该几何体的体积为15．如图，在ABC ∆中，45,B D ∠=是BC 边上一点，5,7,3AD AC DC ===，则AB 的长为16．已知函数2()43,f x x x =-+集合{}(,)|()()0M x y f x f y =+≤，集合ABCD○…………外…………○…………装…………○…………订…………○…………线…………○…………学校:___________姓名：___________班级：___________考号：___________○…………内…………○…………装…………○…………订…………○…………线…………○…………17．（本小题满分12分）已知公差不为0的等差数列{}n a 的前n 项和为n S ，770,S =且126,,a a a 成等比数列.（1）求数列{}n a 的通项公式； （2）设248,n n S b n+=数列{}n b 的最小项是第几项，并求出该项的值. 18．（本小题满分12分）某市规定，高中学生三年在校期间参加不少于80小时的社区服务才合格．教育部门在全市随机抽取200位学生参加社区服务的数据，按时间段[)75,80，[)80,85，[)85,90，[)90,95，[]95,100（单位：小时）进行统计，其频率分布直方图如图所示．（1）求抽取的200位学生中，参加社区服务时间不少于90小时的学生人数，并估计从全市高中学生中任意选取一人，其参加社区服务时间不少于90小时的概率； （2）从全市高中学生（人数很多）．．．．．．．．．．．．．中任意选取3位学生，记ξ为3位学生中参加社区服务时间不少于90小时的人数．试求随机变量ξ的分布列和数学期望()ξE . 19．（本小题满分12分）如图，在斜三棱柱111C B A ABC -中，O 是AC 的中点，O A 1⊥平面ABC ，︒=∠90BCA ，BC AC AA ==1．（1）求证：11AC B A ⊥；组距频率 0.0050.075 7580859095 0.020 1000.040 0.060 服务时间/小时OA BCO 1A 1B 1C○…………外…………○…………装…………○…………订…………○…………线…………○…………※※请※※不※※要※※在※※装※※订※※线※※内※※答※※题※※○…………内…………○…………装…………○…………订…………○…………线…………○…………（2）求二面角C BB A --1的余弦值.20．（本小题满分12分）已知椭圆2222:1(0)x y C a b a b +=>>的离心率为12，椭圆的短轴端点与双曲线2212y x -=的焦点重合，过点(4,0)P 且不垂直于x 轴的直线l 与椭圆C 相交于,A B 两点.（1）求椭圆C 的方程； （2）求OA OB ⋅的取值范围.21．（本小题满分12分）已知函数()sin xf x e x = （1）求函数()f x 的单调区间； （2）当[0,]2x π∈时，()f x kx ≥，求实数k 的取值范围22．（本小题满分10分）选修4—1，几何证明选讲如图所示，圆O 的两弦AB 和CD 交于点E ，EF ∥CB ，EF 交AD 的延长线于点F ，FG 切圆O 于点G .（1）求证：△DEF ∽△EFA ； （2）如果1FG =，求EF 的长．23．（本小题满分10分）选修4－4：坐标系与参数方程已知曲线C 的参数方程为3cos 2sin x y θθ=⎧⎨=⎩（θ为参数），在同一平面直角坐标系中，将曲线C 上的点按坐标变换1312x x y y ⎧'=⎪⎪⎨⎪'=⎪⎩得到曲线C '．（1）求曲线C '的普通方程； （2）若点A 在曲线C '上，点B (3,0)，当点A 在曲线C '上运动时，求AB 中点P 的轨迹方程． 24．（本小题满分10分）选修4－5：不等式选讲 已知()11f x x x =++-,不等式()4f x <的解集为M . （1）求M ；（2）当,a b M ∈时,证明:24a b ab +<+.参考答案1．D 【解析】 试题分析：()()()i i i ii iz z -++-+=-+-=+11111111223121i i i -=-++=，对应的点⎪⎭⎫⎝⎛-21,23在第四象限，故答案为D. 考点：复数的四则运算. 2．C 【解析】试题分析：由32222≤<+x ，得321≤+<x ，解得11≤<-x ，由于Z x ∈，{}1,0=A ，由022>-x x ，得2>x 或0<x ，因此{}20|≤≤=x x U C R ，因此{}1,0=U C A R 所含两个元素，故答案为C.考点：1、指数不等式的解法；2、一元二次不等式的解法. 3．B 【解析】试题分析：随机变量ξ服从正态分布()2,1σN ，因此()()5.011=<=>ξξP P ，()=<<21ξP ()()12<-<ξξP P 3.05.08.0=-=，()()3.02110=<<=<<ξξP P ，故答案为B.考点：正态分布的应用. 4．C 【解析】试题分析：抛物线的焦点坐标()5,0，设双曲线方程12222=-b x a y ，因此得⎪⎩⎪⎨⎧==+432522b a b a ，解得⎪⎩⎪⎨⎧==16922b a双曲线的方程为116922=-x y ，故答案为C. 考点：1、抛物线的简单几何性质；2、双曲线的标准方程. 5．D 【解析】试题分析：输入2=x ，5122=+⋅=y ，852>-不成立，执行循环体，5=x ，11152=+⋅=y ，8115>-不成立，执行循环体，11=x ，231112=+⋅=y ，82311>-成立，推出循环体，输出23=y ，故答案为D.考点：程序框图的应用. 6．A 【解析】 试题分析：dx x ⎰-224表示以原点为圆心，半径2=r 在第一象限的面积，因此dx x ⎰-224π=，()10666261062622a a a a a a a a a a ⋅+⋅+⋅=++2884242a a a a +⋅+=()2284π=+=a a ，故答案为A.考点：1、定积分的几何意义；2、等比数列的性质. 7．D 【解析】试题分析：由题意模拟射击4次的结果，经随机模拟产生了如下20组随机数，在20组随机数中表示射击4次至少击中3次有：7527,0293,9857,0347,4373,8636,9647,4698,6233,2616,8045,3661,9597,7424,4281，共15组随机数，故所求的概率为75.0=P ，故答案为D. 考点：列举法求随机事件的概率. 8．A 【解析】试题分析：不等式表示的可行域如图所示，把目标函数y x z +=2转化为z x y +-=2表示的是斜率为2-，截距为z 的平行直线系，当截距最小时，z 最小，当直线y x z +=2经过点B 时，z 最小，由⎩⎨⎧=+=121y x x得⎩⎨⎧-==11y x ，因此()311-=-a ，解得21=a ，故答案为A.考点：线性规划的应用. 9．C 【解析】试题分析：由于()x f 是定义在R 上的奇函数，()00=∴f ，图象关于原点对称，当0>x 时，()03121=-+=f ，根据函数的奇偶性得()()011==-f f ，故函数有3个零点，答案为C.考点：函数零点个数的判断. 10．B 【解析】试题分析：若βα//，α⊥m ，则β⊥m ，又因为β⊂l ，l m ⊥∴，①正确；若βα⊥，α⊥m ，β⊂l ，则l m ,可能平行，相交，异面，②错误；若l m //，α⊥m ，α⊥∴l ，又由于β⊂l ，βα⊥∴，③正确， 故答案为B.考点：空间中的点、线、面的位置关系. 11．A 【解析】试题分析：PC 的中点O ，连接OB OA ,，由于⊥PA 平面ABC ，⊂AC 平面ABC ，所以AC PA ⊥，在APC Rt ∆中，PC OA 21=，由于BC PA ⊥，BC AB ⊥，A AB PA = ，⊥∴BC 平面PAB ，PC OB 21=∴，因此点O 是三棱锥ABC P -的外接球的球心，在PCA Rt ∆，2=AC ，3=PA ，5=∴PC ，外接球的半径2521==PC R ，因此外接球的表面积ππ542==R S ，故答案为A.考点：1、空间几何体的结构；2、球的表面积.12．A 【解析】试题分析：由0543=++OC OB OA ，得OC OB OA 543-=+，平方得2222524169OC OB OA OB OA =⋅++，即252425=⋅+OB OA ，得0=⋅OB OA ，由于543OB OA OC +-=，()OA OB OBOA AB OC -⋅+-=⋅∴543()03451345122---=⎪⎭⎫ ⎝⎛⋅---=OB OA OA OB 51-=，故答案为A.考点：平面向量数量积的运算.13．1 【解析】 试题分析：令=x ，得10=a ，令1=x 得()64631162106=+=++++=+a a a a m 62=，因此21=+m得1=m .考点：二项式定理的应用. 14．10 【解析】试题分析：由三视图可知，该几何体是四棱柱，底面积()523221=⋅+=S ，高2=h ，该几何体的体积1052=⋅=⋅=h S V .考点：求几何体的体积. 15．265【解析】试题分析：在ACD ∆中，14112cos 222=⋅-+=CD AC AD CD AC C ，1435cos 1sin 2=-=∴C C ，在ABC ∆中，由正弦定理得C AB B AC sin sin =，得265sin sin =⋅=B C AC AB . 考点：1、正弦定理的应用；2、余弦定理的应用.16．π 【解析】 试题分析：()342+-=x x x f ，()342+-=y y y f ，因此()()()()22222--+-=+y x y f x f ，由()()0≤+y f x f ，得()()22222≤-+-y x ，集合M 表示以()2,2为圆心，2为半径及其圆的内部，()()()y x y x y f x f ---=-422()()4-+-=y x y x ，由()()0≥-y f x f ，得()()04≥-+-y x y x ，N M 表示的区域为两个扇形，其面积为圆的面积的一半，()ππ==2221S .考点：1、不等式表示的区域；2、化简不等式. 17．（1）23-=n a n ；（2）最小项第4项，最小值23.【解析】 试题分析：（1）等差数列基本量的求解是等差数列的一类基本问题，解决这类问题的关键在于熟练掌握等差数列的有关公式并能灵活运用;（2）在求所列函数的最值时，若用基本不等式时，等号取不到时，可利用函数的单调性求解，基本不等式具有将“和式”转化为“积式”和将“积式”转化为“和式”的放缩功能，常常用于比较数的大小或证明不等式，解决问题的关键是分析不等式两边的结构特点，选择好利用基本不等式的切入点.（3）解题时要善于类比要能正确区分等差、等比的性质，不要把两者的性质搞混了. 试题解析：解：（1）设公差为d ，则有1221672170a d a a a +=⎧⎨=⎩，即11211131013()(5)a d a d a d a a d +==⎧⎧⇒⎨⎨=+=+⎩⎩或1100a d =⎧⎨=⎩（舍），32n a n ∴=- （2）23[1(32)]22n n n nS n -=+-=，234848483123123n n n b n n n n n-+∴==+-≥⋅-=，当且仅当483n n=时取=号，即4n =时取=号. 考点：1、等差数列的通项公式；2、等差数列的前n 项和公式；3、基本不等式的应用. 18．（1）52=P ；（2）()56=ξE 【解析】试题分析：（1）解决频率分布直方图的问题，关键在于找出图中数据之间的关系，这些数据中，比较明显的有组距、组距频率，间接的有频率，小长方形的面积，合理使用这些数据，再结合两个等量关系：小长方形的面积等于频率，小长方形的面积之和等于1，因此频率之和为1；（2）求随机变量的分布列的主要步骤：一是明确随机变量的取值，并确定随机变量服从何种概率分布；二是求每一个随机变量取值的概率，三是列成表格；（3）求出分布列后注意运用分布列的两条性质检验所求的分布列是否正确；（4）求解离散随机变量分布列和方差，首先要理解问题的关键，其次要准确无误的找出随机变量的所有可能值，计算出相对应的概率，写成随机变量的分布列，正确运用均值、方差公式进行计算. 试题解析：解：（1）根据题意，参加社区服务时间在时间段[)90,95小时的学生人数为 2000.060560⨯⨯=（人），参加社区服务时间在时间段[]95,100小时的学生人数为2000.020520⨯⨯=（人）．所以抽取的200位学生中，参加社区服务时间不少于90小时的学生人数为80人． 所以从全市高中学生中任意选取一人，其参加社区服务时间不少于90小时的概率估计为6020802.2002005P +===（2）由（Ⅰ）可知，从全市高中生中任意选取1人，其参加社区服务时间不少于90小时的概率为2.5由已知得，随机变量ξ的可能取值为0,1,2,3．所以00332327(0)()()55125P C ξ==⋅=；11232354(1)()()55125P C ξ==⋅=；22132336(2)()()55125P C ξ==⋅=；3303238(3)()()55125P C ξ==⋅=． 随机变量ξ的分布列为 ξ 01 2 3 P27125 54125 36125 8125因为ξ～2(3,)5B ，所以26355E np ξ==⨯=. 考点：1、频率分布直方图的应用；2、离散型随机变量的分布列和数学期望.19．（1）证明见解析；（2）772 【解析】试题分析：（1）解决立体几何的有关问题，空间想象能力是非常重要的，但新旧知识的迁移融合也很重要，在平面几何的基础上，把某些空间问题转化为平面问题来解决，有时很方便，利用已知的线面垂直关系建立空间直角坐标系，准确写出相关点的坐标，从而将几何证明转化为向量运算.其中灵活建系是解题的关键.（2）证明证线线垂直，只需要证明直线的方向向量垂直；（3）把向量夹角的余弦值转化为两平面法向量夹角的余弦值;（4）空间向量将空间位置关系转化为向量运算，应用的核心是要充分认识形体特征，建立恰当的坐标系，实施几何问题代数化.同时注意两点：一是正确写出点、向量的坐标，准确运算；二是空间位置关系中判定定理与性质定理条件要完备.试题解析：解：（1）因为1A O ⊥平面ABC ，所以1AO BC ⊥.又BC AC ⊥，1AO AC A =, 所以BC ⊥平面11A ACC ，所以1AC BC ⊥.因为1AA AC =，所以四边形11A ACC 是菱形，所以11AC AC ⊥，1BC AC C =,所以1AC ⊥平面1A BC ，所以11A B AC ⊥． （1）以12AA =，建立如图所示的空间直角坐标系O xyz -，则1(0,1,0),(2,1,0),(0,1,0),(0,2,3)A B C C -，11(2,2,0),(0,1,3)AB BB CC ===设(,,)m x y z =是面1ABB 的一个法向量，则10m AB m BB ⋅=⋅=， 即22020x y y z +=⎧⎪⎨+=⎪⎩，令1z =，取(3,3,1)m =-. 同理面1CBC 的一个法向量为(0,3,1)n =-． 因为27cos ,7||||m n m n m n ⋅<>==⋅.所以二面角1A BB C --的余弦值277． 考点：直线与直线垂直的判定；2、平面与平面所成的角.20．（1）13422=+y x ；（2）⎪⎭⎫⎢⎣⎡-413,4 【解析】试题分析：（1）设椭圆的方程，若焦点明确，设椭圆的标准方程，结合条件用待定系数法求出22,b a 的值，若不明确，需分焦点在x 轴和y 轴上两种情况讨论；（2）解决直线和椭圆的综合问题时注意：第一步：根据题意设直线方程，有的题设条件已知点，而斜率未知；有的题设条件已知斜率，点不定，可由点斜式设直线方程.第二步：联立方程：把所设直线方程与椭圆的方程联立，消去一个元，得到一个一元二次方程.第三步：求解判别式∆：计算一元二次方程根.第四步：写出根与系数的关系.第五步：根据题设条件求解问题中结论. 试题解析：解：（1）由题意知22222211,24c c a b e e a a a -==∴===， 2243a b =.又双曲线的焦点坐标为(0,3),3b ±=，224,3a b ∴==， ∴椭圆的方程为22143x y +=. （2）若直线l 的倾斜角为0，则(2,0),(2,0),4A B OA OB -⋅=-，当直线l 的倾斜角不为0时，直线l 可设为4x my =+，22224(34)243603412x my m y my x y =+⎧⇒+++=⎨+=⎩，由 2220(24)4(34)3604m m m ∆>⇒-⨯+⨯>⇒>设1122(4,),(4,)A my y B my y ++，1212222436,3434m y y y y m m +=-=++， 21212121212(4)(4)416OA OB my my y y m y y my y y y ⋅=+++=+++2116434m =-+，2134,(4,)4m OA OB >∴⋅∈-，综上所述：范围为13[4,)4-. 考点：1、椭圆的标准方程；2、直线与椭圆的综合问题.21．（1）函数()x f 的单调递增区间⎪⎭⎫ ⎝⎛+-432,42ππππk k Z k ∈，函数()x f 的单调递减区间⎪⎭⎫ ⎝⎛++472,432ππππk k Z k ∈； （2）(]1,∞-【解析】试题分析：（1）函数()x f y =在某个区间内可导，则若()0>'x f ，则()x f 在这个区间内单调递增，若()0<'x f ，则()x f 在这个区间内单调递减；（2）若可导函数()x f 在指定的区间D 上单调递增（减），求参数问题，可转化为()0≥'x f ()()0≤'x f 或恒成立，从而构建不等式，要注意“=”是否可以取到.（3）利用导数方法证明不等式()()x g x f >在区间D 上恒成立的基本方法是构造函数()()()x g x f x h -=，然后根据函数的单调性，或者函数的最值证明函数()0>x h ，其中一个重要的技巧就是找到函数()x h 在什么地方可以等于零，这往往就是解决问题的一个突破口，观察式子的特点，找到特点证明不等式.试题解析：解：（1）()sin cos (sin cos )x x x f x e x e x e x x '=+=+， 令sin cos 2sin(),4y x x x π=+=+当'3(2,2),()0,()44x k k f x f x ππππ∈-+>单调递增， '37(2,2),()0,()44x k k f x f x ππππ∈++<单调递减， 函数()x f 的单调递增区间⎪⎭⎫ ⎝⎛+-432,42ππππk k Z k ∈，函数()x f 的单调递减区间 ⎪⎭⎫ ⎝⎛++472,432ππππk k Z k ∈， （2）令()()sin xg x f x kx e x kx =-=-，即()0g x ≥恒成立，而'()(sin cos )x g x e x x k =+-，令'()(sin cos )()(sin cos )(cos sin )2cos x x x x h x e x x h x e x x e x x e x =+⇒=++-='[0,],()0()2x h x h x π∈≥⇒在[0,]2π上单调递增，21()h x e π≤≤， 当1k ≤时，'()0,()g x g x ≥在[0,]2π上单调递增，()(0)0g x g ≥=，符合题意； 当2k e π≥时，'()0()g x g x ≤⇒在[0,]2π上单调递减，()(0)0g x g ≤=，与题意不合； 当21k e π<<时，'()g x 为一个单调递增的函数，而''2(0)10,()02g k g e k ππ=-<=->， 由零点存在性定理，必存在一个零点0x ，使得'0()0g x =，当0[0,)x x ∈时，'()0,g x ≤从而()g x 在0[0,)x x ∈上单调递减，从而()(0)0g x g ≤=，与题意不合，综上所述：k 的取值范围为(,1]-∞.考点：1、利用导数求函数的单调区间；2、恒成立的问题.22．（1）证明见解析；（2）1=EF【解析】 试题分析：（1）判断三角形相似：一是平行于三角形一边的直线截其它两边所在的直线，截得的三角形与原三角形相似；二是如果一个三角形的两个角与另一个三角形的两个角对应相等, 那么这两个三角形相似；三是如果两个三角形的两组对应边的比相等，并且相应的夹角相等, 那么这两个三角形相似；四是如果两个三角形的三组对应边的比相等，那么这两个三角形相似；五是对应角相等，对应边成比例的两个三角形叫做相似三角；（2）切割线定理：切割线定理，是圆幂定理的一种，从圆外一点引圆的切线和割线，切线长是这点到割线与圆交点的两条线段长的比例中项.试题解析：证明：（1） //EF BC DEF EBC DEF BAD DEF BCD BAD ⇒∠=∠⎫⇒∠=∠⇒∆⎬∠=∠⎭∽EFA ∆ （2）EFA ∆∽2EFD FE FD FA ∆⇒=⋅又因为FG 为切线，则2FG FD FA =⋅所以，1EF FG ==.考点：1、三角形相似的判断；2、求线段的弦长.23．（1）122=+y x ;（2）412322=+⎪⎭⎫ ⎝⎛-y x 【解析】试题分析：（1）将参数方程转化为直角坐标系下的普通方程，需要根据参数方程的结构特征，选取恰当的消参方法，常见的消参方法有：代入消参法、加减消参法、平方消参法；（2）将参数方程转化为普通方程时，要注意两种方程的等价性，不要增解、漏解，若y x ,有范围限制，要标出y x ,的取值范围；（3）直角坐标方程化为极坐标方程，只需把公式θρcos =x 及θρsin =y 直接代入并化简即可；而极坐标方程化为极坐标方程要通过变形，构造形如θρcos ，θρsin ，2ρ的形式，进行整体代换，其中方程的两边同乘以（或同除以）ρ及方程的两边平方是常用的变形方法.试题解析：（1）C :3cos 2sin x y θθ=⎧⎨=⎩ ⇒ 22:194x y C +=， 将1312x x y y ⎧'=⎪⎪⎨⎪'=⎪⎩ ⇒32x x y y '=⎧⎨'=⎩代入C 的普通方程得221x y ''+=，即22:1C x y '+=； （2）设(,),P x y 00(,)A x y ， 则003,22x y x y +== 所以0023,2x x y y =-=，即(23,2)A x y -代入22:1C x y '+=，得22(23)(2)1x y -+=，即2231()24x y -+= AB 中点P 的轨迹方程为2231()24x y -+=. 考点：1、参数方程与普通方程的互化；2、点的轨迹方程.24．（1）()2,2-；（2）证明见解析【解析】试题分析：（1）理解绝对值的几何意义，x 表示的是数轴的上点x 到原点离.（2）对于恒成立的问题，常用到以下两个结论：（1）()x f a ≥恒成立()max x f a ≥⇔，（2）()x f a ≤恒成立()min x f a ≤⇔（3）掌握一般不等式的解法：()()a x a a x ≥⇔>≥01或a x -≤，()()a x a a a x ≤≤-⇔>≤02.试题解析：（1）解不等式：114x x ++-< ；（4）逆向思维是用分析法证题的主要思想，通过反推，逐步寻找使结论成立的充分条件，正确把握转化方向是使问题顺利获解的关键. 124x x ≥⎧⎨<⎩ 或1124x -≤<⎧⎨<⎩ 或124x x <-⎧⎨-<⎩⇒12x ≤<或11x -≤<或21x -<<-，⇒22x -<<⇒()2,2M =-.（2）需证明：22224(2)816a ab b a b ab ++<++，只需证明222244160a b a b --+>，即需证明22(4)(4)0a b -->证明： 2222,(2,2)4,4(4)0,(4)0a b a b a b ∈-⇒<<⇒-<-< ⇒22(4)(4)0a b -->，所以原不等式成立.考点：1、含绝对值不等式的解法；2、证明不等式.。

美国SSAT数学考试练习题美国SSAT数学考试练习题想要申请美国高中的同学，对于美国的中考SSAT考试并不陌生。

在SSAT考试中，数学是很重要的一部分内容，因此本文简要介绍美国中学SSAT考试数学习题，希望对想要申请美国高中的同学有所帮助。

1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?A. ZY - VB. Z/V - 3 - YC. Z/3 - V - YD. 3V- Z - YE. V- Z - Y2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?A. 2 hoursB. 4 ? hoursC. 5 ? hoursD. 6 hoursE. 7 ? hours3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ? hours. How quickly can all three fill the pool together?A. 12 minutesB. 15 minutesC. 21 minutesD. 23 minutesE. 28 minutes4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?A. 2x + 5 (x-1) = 9, x = 2B. p - 3(p-5) = 10, p = 2.5C. 4 y + 3 y = 28, y = 4D. 5 w + 6 w - 3w = 64, w = 8E. t - 2t - 3t = 32, t = 85. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?A. 4%B. 5%C. 6%D. 7%E. 8%6. Which of the following is not a rational number?A. -4B. 1/5C. 0.8333333...D. 0.457. A study reported that in a random sampling of 100 women over the age of 35 showed that8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?A. 55B. 150C. 200D. 400E. 6008. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?A. 25 mphB. 37 mphC. 41 mphD. 49 mphE. 56 mph9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?A. 2 minutes and 44 secondsB. 2 minutes and 58 secondsC. 3 minutes and 10 secondsD. 3 minutes and 26 secondsE. 4 minutes and 15 seconds10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysE. 1.97 days11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will workthe best?A. 3 feetB. 3 ? feetC. 3 ? feetD. 3 ? feetE. 2 ? feet12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?A. 58%B. 119%C. 158%D. 175%E. 200%13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?A. 50 milesB. 100 milesC. 500 milesE. 1,000 miles14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?A. 345B. 1,035C. 1,725D. 3,105E. 9,315Answer Key1. D2. B3. B4. E5. B6. E7. D8. E9. A10. B11. C12. A13. C14. E以上是对美国中学SSAT数学考试习题的一个简要介绍，想要申请美国高中并担心美国高中数学的同学可以参考借鉴一下。

SSAT考试数学练习题(1)1. Add 0.98 + 45.102 + 32.3333 + 31 + 0.00009A. 368.573B. 210.536299C. 109.41539D. 99.9975E. 80.87695432. Find 0.12 ÷ 1A. 12B. 1.2C. .12D. .012E. .00123. (9 ÷ 3) x (8 ÷ 4) =A. 1B. 6C. 72D. 576E. 7524. 6 x 0 x 5A. 30B. 11C. 25D. 0E. 275. 7.95 ÷ 1.5A. 2.4B. 5.3C. 6.2D. 7.3E. 7.56. -32 + 7 equals:A. -25B. 25C. -26D. 26E. 277. -37 + -47 equals:A. 64B. -84C. 65D. -75E. -668. 41% equals:A. 4.1B. .41C. .041D. .0041E. .00415答案：1.B 2.C 3.B 4.0 5.B 6.A 7.B 8.B1. Round 907.457 to the nearest tens place.A. 908.0B. 910C. 907.5D. 900E. 907.462. At a certain high school, the respective weights for the following subjects are: Mathematics 3, English 3, History 2, Science 2 and Art 1.What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?A. 85.7B. 87.8C. 88.9D. 89.4E. 90.23. Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?A. $3.19B. $3.75C. $3.90D. $4.08E. $4.234. What is 1230.932567 rounded to the nearest hundredths place?A. 1200B. 1230.9326C. 1230.93D. 1230E. 1230.9335. Subtract the following numbers rounded to the nearest tenths place.134.679-45.548-67.8807A. 21.3B. 21.25C. -58.97D. -59.0E. 16. What is the absolute value of -9?A. -9B. 9C. 0D. -1E. 17. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12A. 6B. 7.5C. 7.8D. 8E. 98. What is the mathematical average of the number of weeks in a year, seasons in a year, and the number of days in January?A. 36B. 33C. 32D. 31E. 299. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?A. 2.59B. 2.86C. 3.08D. 3.33E. 3.6710. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?A. $4.07B. $3.57C. $6.51D. $2.93E. $5.4111. A roast was cooked at 325° F in the oven for 4 hours. The internal temperature rose from 32° F to 145° F. What was the average rise in temperature per hour?A. 20.2° F/hrB. 28.25° F/hrC. 32.03° F/hrD. 37° F/hrE. 37.29° F/hr12. In the number 743.25 which digit represents the tenths space?A. 2B. 3C. 4D. 5E. 6正确答案：1. B 2. C 3. D 4. C 5. A 6. B 7. D 8. E 9. C 10. A 11.B 12. AAnalogies 11. DRIP : GUSHA. cry : laughB. curl : rollC. stream : tributaryD. dent : destroyE. bend : angle2. WALK : LEGSA. blink : eyesB. chew : mouthC. dress : hemD. cover : bookE. grind : nose3. ENFRANCHISE : SLAVERYA. equation : mathematicsB. liberate : confineC. bondage : subjugationD. appeasement : unreasonableE. anatomy : physiology4. UNION JACK : VEXILLOLOGYA. toad : ornithologyB. turtle : microbiologyC. gymnosperms : botanyD. friend : home economicsE. algae : zoology5. TOPAZ : YELLOWA. diamond : caratB. jeweler : clarityC. sapphire : redD. amethyst : purpleE. amber : blue6. LUMEN : BRIGHTNESSA. candle : lightB. density : darknessC. nickel : metalD. inches : lengthE. color : hue7. MACERATION : LIQUIDA. sublimation : gasB. evaporation : humidityC. trail : pathD. erosion : weatherE. decision : distraction8. CLUMSY : BOTCHA. wicked :insinuateB. strict:pamperC. willful:heedD. clever:eradicateE. lazy:shirk9. FUGITIVE : FLEEA. parasite:fosterB. braggart:boastC. sage:stifleD. bystander:procureE. firebrand:quibble10. CHRONOLOGICAL : TIMEA. virtual:truthB. abnormal:valueC. marginal:knowledgeD. ordinal:placeE. coincidental:health11. SOOT : GRIMYA. frost:transparentB. sunshine:fruitlessC. rain:soddenD. pall:gaudyE. dust:radiant12. MORBID : UNFAVORABLEA. reputable:favorableB. maternal:unfavorableC. disputatious:favorableD. vigilant:unfavorableE. lax:favorable13. SULLEN : BROODA. lethargic:cavortB. regal:cringeC. docile: obeyE. despondent:laugh14. AUTHOR : LITERATEA. cynic:guillibleB. hothead:prudentC. saint:notoriousD. judge:impartialE. doctor:fallible15. MASSIVE : BULKA. ultimate:magnitudeB. trival:importanceC. anonymous:lusterD. interminable:legacyE. gigantic:size16. ENTICE : REPELA. germinate:sproutB. flourish:fadeC. officiate:presideD. lubricate:greaseE. implore:entreat17. HUMDRUM : BOREA. grim:amuseB. nutritious:sickenC. stodgy:exciteD. heartrending:moveE. pending:worry18. HOSPITABLE : COURTESYA. morbid:cheerfulnessB. vindictive:spiteC. leisurely:hasteD. infamous:honorE. despondent:glee19. REINFORCE : STRONGERA. abound: lesserB. dismantle: longerC. wilt: higherD. shirk: greaterE. erode: weaker20. BRAGGART : MODESTYA. fledgling:experienceB. embezzler: greedC. wallflower: timidityE. candidate:ambititonAnswer Key1. D2. B3. B4. C5. D6. D7. D8. E9. B10. D11. C12. A13. C14. D15. E16. B17. D18. B19. E20. ASSAT数学练习题(2)Algebra 2 Practice Questions1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?A. ZY - VB. Z/V - 3 - YC. Z/3 - V - YD. 3V- Z - YE. V- Z - Y2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?A. 2 hoursB. 4 ½ hoursC. 5 ¾ hoursD. 6 hoursE. 7 ½ hours3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?A. 12 minutesB. 15 minutesC. 21 minutesD. 23 minutesE. 28 minutes4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?A. 2x + 5 (x-1) = 9, x = 2B. p - 3(p-5) = 10, p = 2.5C. 4 y + 3 y = 28, y = 4D. 5 w + 6 w - 3w = 64, w = 8E. t - 2t - 3t = 32, t = 85. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?A. 4%B. 5%C. 6%D. 7%E. 8%6. Which of the following is not a rational number?A. -4B. 1/5C. 0.8333333...D. 0.45E.7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?A. 55B. 150C. 200D. 400E. 6008. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?A. 25 mphB. 37 mphC. 41 mphD. 49 mphE. 56 mph9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?A. 2 minutes and 44 secondsB. 2 minutes and 58 secondsC. 3 minutes and 10 secondsD. 3 minutes and 26 secondsE. 4 minutes and 15 seconds10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysD. 1.65 daysE. 1.97 days11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but itcannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?A. 3 feetB. 3 ¾ feetC. 3 ½ feetD. 3 ¼ feetE. 2 ½ feet12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?A. 58%B. 119%C. 158%D. 175%E. 200%13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?A. 50 milesB. 100 milesC. 500 milesD. 700 milesE. 1,000 miles14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?A. 345B. 1,035C. 1,725D. 3,105E. 9,315Answer Key1. D2. B3. B4. E5. B6. E7. D8. E9. A10. B11. C12. A14. ESSAT数学练习题(3)SSAT Basic Algebra1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?A. 5/pB. p - 5C. p + 5D. p/5E. 1- p + 52. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?A. 2 hours and 24 minutesB. 3 hours and 12 minutesC. 3 hours and 44 minutesD. 4 hours and 10 minutesE. 4 hours and 33 minutes3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?A. $280.90B. $287C. $292.50D. $306E. $333.894. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?A. $14,310.40B. $14,990.90C. $15,290.70D. $15,737.50E. $16,935.805. Solve the following equation for A : 2A/3 = 8 + 4AA. -2.4B. 2.4C. 1.3D. -1.3E. 06. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?B. 10C. 14D. 19E. 217. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?A. $240B. $480C. $720D. $960E. $1,2008. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?A. $496.30B. $512.40C. $555.40D. $574.90E. $588.209. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?A. 10 centsB. 11 centsC. 15 centsD. 17 centsE. 21 cents10. A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a “B” in the art class, an “A” in the history class, a “C” in the science class, a “B” in the mathematics class, and an “A” in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)A. 2.7B. 2.8C. 3.0D. 3.1E. 3.211. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?A. $120.25B. $160.75C. $173.75D. $180E. $182.5012. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?A. 4B. 8C. 12D. 13E. 1613. If r = 5 z then 15 z = 3 y, then r =A. yB. 2 yC. 5 yD. 10 yE. 15 y14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for50 cents at the same rate?A. 150/xB. 150xC. 6xD. 1500/xE. 600x15. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?A. $57B. $90C. $104D. $112E. $12216. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =A. 12B. 25C. 33D. 47E. 8617. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?A. $5.20B. $7.35C. $13.40D. $19.95E. $21.2518. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?A. $3225B. $4350C. $5375D. $6550E. $639819. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of2 for 12.95. How much will purchasing these products cost?A. $132.85B. $145.75C. $162.90D. $225.25E. $226.7520. If y = 3, then y3(y3-y)=A. 300B. 459C. 648D. 999E. 1099参考答案1. A2. A3. D4. D5. A6. A7. E8. A9. D10. C11. C12. D13. A14. A15. B16. C17. C18. B19. A20. CSSAT模拟题11.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. 18B. 24C. 32D. 36E. 432. Sarah is twice as old as her youngest brother. If the difference between their ages is15 years. How old is her youngest brother?A. 10B. 15C. 20D. 25E. 303. Which of the following fractions is equal to 5/6?A. 20/30B. 15/24C. 25/30D. 40/54E. 2/74. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?A. $224.51B. $237.60C. $246.55D. $271.38E. $282.325. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?A. $6,000B. $8,500C. $12,000D. $15,000E. $18,5006. You are lying 120 ft away from a tree 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?A. 50 feetB. 75 feetC. 120 feetD. 130 feetE. 150 feet7. A cyclist bikes x distance at 10 miles per hour and 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?A. 8.1B. 8.3C. 8.6D. 8.9E. 9.08 If edging cost $2.32 per 12-inch stone, and you want a double layer of edging your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?A. $32.48B. $64.96C. $97.44D. $129.92E. $194.889. If 3x=6x-15 then x + 8=?A. 5B. 10C. 11D. 12E. 1310. The number of milliliters in 1 liter is?A. 10,000B. 1,000C. 0.1D. 0.01E. 0.001Answer Key1. (B)2. (B)3. (C)4. (B)5. (C)6. (D)7. (D)8. (E)9. (E) 10. (B) 11. (D)1. Sue receives a base salary of $90 weekly plus a 12% commission on all sales. Sue had $3,000 in sales this week. How much did she make total?A. $375B. $450C. $480D. $510E. $5252 If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the width?A. 16 feetB. 35 feetC. 37 feetD. 40 feetE. 42 feet3. Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. The boat sold for how much?A. $17,250.00B. $16,540.44C. $16,230.34D. $15,980.55E. $15,870.884. A recent study showed that an increase in body weight by 10 kilograms resulted in a 0.15% increase in heart disease. What fraction is equal to 0.15%?A. 3/2000B. 2/750C. 7/4000D. 5/3462E. 1/5005. 6.334 x 104 =?A. 0.0006334B. 0.06334C. 6334D. 63340E. 6334006. If 3x + 5x = -8, then x + 1 =?A. -2B. -1C. 0D. 1E. 27. Two angle in a triangle equal 120°. What is the measure of the third angle?A. 60°B. 70°C. 80°D. 90°E. 120°8 Which of the following would be an appropriate unit to measure sugar for a cookie recipe?A. litersB. cupsC. quartsD. kilogramsE. poundsAnswer key1. (B)2. (A)3. (A)4. (A)5. (D)6. (C)7. (A)8. (B)1、What is the average (arithmetic mean) of 4x + 5, 7x-6,and -8x+2?A. x + 1B. x + 1/3C. 3x + 1D. 3x + 1/3E. 3x + 3 1/32、In a classroom of 35 students, 14 our male. What percent of the classroom is male?A. 14%B. 20%C. 30%D. 40%E. 50%3、If the area of a triangle is 24 and its base is 6, what is the length of the altitude to that base?A. 3B. 6C. 8D. 10E. unknown4、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?Ⅰ12Ⅱ14Ⅲ16B. III onlyC. I & III.D. I & IIE. Neither I, II, nor III is correct.5、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?A. 55 mphB. 60 mphC. 65 mphD. 70 mphE. 75 mph6、If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas?A. 6B. 12C. 36D. 72E. 108SSAT模拟题21. There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?A. 12 ouncesB. 86 ouncesC. 119 ouncesD. 124 ouncesE. 138 ounces2. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change? XZ YA. increases by halfB. decreases by halfC. triplesD. doublesE. remains the same3. Which of the following fractions is the equivalent of 0.5%B. 1/200C. 1/2000D. 1/5E. 1/5004. Which of these numbers is a factor of 21A. 2B. 5C. 7D. 42E. 445. If the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average?A. 1/3B. 1/5C. 1/7D. 1/9E. 1/106. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?A. 1/3 cupsB. 2/3 cupsC. 1/15 cupsD. 7/15 cupsE.7/16 cups7. ¾ - ½ =A. ¼B. 1/3C. ½D. 2/3E. 2/58. 7 1/2 - 5 3/8 =A. 1 1/2B. 1 2/3C. 2 1/8D. 3 1/4E. 3keys: 1. (D) 2. (E) 3. (B) 4. (C) 5. (B) 6. (D) 7. (A) 8. (C)SSAT模拟题31. What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.A. $166.80B. $175.90C. $184.30D. $189.90E. $192.202. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?A. 10 yardsB. 18 yardsC. 28 feetD. 32 feetE. 36 yards3. What is the volume of the following cylinder?A. 210.91B. 226.20C. 75.36D. 904.32E. 28.264. What is the volume of a cube whose width is 5 inches?A. 15 cubic inchesB. 25 cubic inchesC. 64 cubic inchesD. 100 cubic inchesE. 125 cubic inches5. Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft.8in long. How much material does Sally have?A. 7 yd. 1 ft. 8 in.B. 8 yd. 4 ft. 4 in.C. 8 yd. 11 in.D. 9 yd. 7 in.E. 10 yd.6. A can´s diameter is 3 inches, and its height is 8 inches. What is the volume of the can?A. 50.30B. 56.55C. 75.68D. 113.04E. 226.087. If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?A. 4B. 12C. 16D. 20E. 248. Of the following units which would be more likely used to measure the amount of water in a bathtub?A. kilogramsB. litersC. millilitersD. centigramsE. volts9. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?A. 5 1/16 inch highlighterB. 3 1/8 inch jewelry boxC. 2 3/4 inch lipstickD. 2 3/16 inch staple removerE. 4 1/2 inch calculator10. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?A. 0.9WLB. 0.3WLC. 0.1WLD. 9WLE. 3WLKEYS:1. (A) 2. (A) 3. (B) 4. (E) 5. (D) 6. (B) 7. (C) 8. (B) 9. (D) 10. (A)SSAT模拟题41. What is 1/9 of 9?A. 1/9B. 0C. 1D. 2E. 32. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?A. 3B. 7C. 8D. 9E. 113. Which fraction is equal to 0.20%?A. 1/20B. 1/40C. 1/50D. 1/400E. 1/5004. Find the missing term in the following sequence: 4, 9, 19, __, 79A. 36B. 37C. 38D. 39E. 405. How much money did Jessica´s budget allow for housing in April of 2001?A. $617.80B. $620.92C. $622.50D. $626.38E. $633.206. What was the average amount of money that Jessica´s budget allowed for clothing the first six months of 2001?A. $249.90B. $250.40C. $251.32D. $253.33E. $255.757. If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save?A. $131.10B. $144.30C. $148.32D. $152.22E. $153.338. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time 'will it take them to type the same document?A. 5 minutesB. 10 minutesC. 15 minutesD. 18 minutesE. 20 minutes9. Of the following fractions, which is less than 2/3?A. 7/8B. 5/6C. 3/4D. 3/5E. 5/710. A hockey team won 6 games and lost 8. What is the ratio of wins to number of games?A. 6/8B. 8/6C. 3/7D. 8/14E. 6/7KEY：1. (C) 2. (D) 3. (E) 4. (D) 5. (C) 6. (E) 7. (A) 8. (B) 9. (D) 10. (C)SSAT模拟题51. Sue receives a base salary of $90 weekly plus a 12% commission on all sales. Sue had $3,000 in sales this week. How much did she make total?A. $375B. $450C. $480D. $510E. $5252 If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the width?A. 16 feetB. 35 feetC. 37 feetD. 40 feetE. 42 feet3. Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. The boat sold for how much?A. $17,250.00B. $16,540.44C. $16,230.34D. $15,980.55E. $15,870.884. A recent study showed that an increase in body weight by 10 kilograms resulted ina 0.15% increase in heart disease. What fraction is equal to 0.15%?A. 3/2000B. 2/750C. 7/4000D. 5/3462E. 1/5005. 6.334 x 104 =A. 0.0006334B. 0.06334C. 6334D. 63340E. 6334006. If 3x + 5x = -8, then x + 1 =A. -2B. -1C. 0D. 1E. 27. Two angle in a triangle equal 120°. What is the measure of the third angle?A. 60°B. 70°C. 80°D. 90°E. 120°8 Which of the following would be an appropriate unit to measure sugar for a cookie recipe?A. litersB. cupsC. quartsD. kilogramsE. poundsKEYS：1. (B) 2. (A) 3. (A) 4. (A) 5. (D) 6. (C) 7. (A) 8. (B)。

沃邦教育2015年SSAT数学练习题1 What is the perimeter of a rectangle with side lengths of 8 and 3?a. 6b. 11c, 16d. 22e. 252 The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryparallel3 How many points are necessary to define a line?a. Oneb. Twoc. Threed. Foure. Infinite4 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?a. 1b. 2c. 3d. 4e. 55 What interest rate is necessary to get $1000 in interest over 2 years on a $10000 investment?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?a. 13b. 14c. 15d. 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?a. 15b. 20c. 30d. 40e. 458 The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryParallel9 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?A. x + 1B. x + 1/3C. 3x + 1D. 3x + 1/3E. 3x + 3 1/311 In a classroom of 35 students, 14 our male. What percent of the classroom is male?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?A. 3B. 6C. 8D. 10E. unknown13 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?Ⅰ12Ⅱ14Ⅲ16A. I onlyB. III onlyC. I & III.D. I & IIE. 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?A. 55 mphB. 60 mphC. 65 mphD. 70 mphE. 75 mph15 If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas?A. 6C. 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 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?A. $5.95B. $4.25C. $5.10D. $3.25E. $3.4017 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?A. 100B. 150C. 200D. 300E. 60018 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?A. 9B. 15C. 18D. 24E. 2519 Lenny's average score after 3 tests is 88. What score on the 4th test would bring Lenny's average up to exactly 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?B. 18C. 24D. 36E. 5421 A certain machine can make 3 widgets every 2 seconds. At this rate, how many widgets will be made in 1 minute?A. 90B. 110C. 150D. 180E. 22022 What is the average of the first 50 positive integers?A. 25B. 25.5C. 26D. 26.5E. 2723 If ab is negative, which of the following CANNOT be negative?A. b-aB. 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?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?A. 42B. 82C. 22D. 6226 Which is greater?Column A Column B3-5+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. the two quantities are equal27 If a die is tossed twice the probability of getting a 3 on both tosses is:A. 1/4B. 1/36C. 1/12D. 1/6E. 1/2528 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 aflute for $306. How much did it originally cost?A. $325B. $375C. $400D. $408E. $42529 If y(x-1)=z then x=A. y-zB. z/y + 1C. y(z-1)D. z(y-1)E. 1-zy30 Which of the following values is NOT equal to 34(58+9)?A. 34 x 67B. 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 the third angle?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 equal to how many grams?A. 863B. 878C. 896D. 915E. 93233 Which year did the most children take swimming lessons?A. 1990B. 1991C. 1992D. 1994E. 199534 Between which year did the largest decrease in children taking swimming lessons occur?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?A. 250B. 308C. 385D. 450E. 1,85036 Which of the following is equal to 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 1/5inches. How many miles are actually between the two towns?A. 65 milesB. 84 milesC. 124 milesD. 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 the difference between theirages is 15 years. How old is her youngest brother?A. 10B. 15C. 20E. 3040 Which of the following fractions is equal to 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?A. $224.51B. $237.60C. $246.55D. $271.38E. $282.3242 In a writing competition, the first place winner receives ½ of the prizemoney. The second runner up receives ¼ of what the winner won. What was thetotal amount of prize money distributed if the winner receives $6,000?A. $6,000B. $8,500C. $12,000D. $15,000E. $18,50043 You are lying 120 ft away from a tree that is 50 feet tall. You look up at thetop of the tree. Approximately how far is your hear from the top of the treein a straight line?A. 50 feetB. 75 feetC. 120 feetD. 130 feetE. 150 feet44 A cyclist bikes x distance at 10 miles per hour and 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?A. 8.1B. 8.3C. 8.6E. 9.045 If edging cost $2.32 per 12-inch stone, and you want a double layer of edging your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?A. $32.48B. $64.96C. $97.44D. $129.92E. $194.8846 If 3x=6x-15 then x + 8=A. 5B. 10C. 11D. 12E. 1347 The number of milliliters in 1 liter isA. 10,000B. 1,000C. 0.1D. 0.01E. 0.001。

SSAT 数学题库SSAT 数学专项练习1. Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9A. Descending arithmetic sequenceB. Ascending arithmetic sequenceC. Descending geometric sequenceD. Ascending geometric sequenceE. Miscellaneous sequence2. Which of the following is not a whole number followed by its square?A. 1, 1B. 6, 36C. 8, 64D. 10, 100E. 11, 1443. A nurse has to record her temperatures in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7°F. What is the temperature in °C?A. 32° CB. 36.5° CC. 38.2° CD. 213.3° CE. 223.7° C4. Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket?A. 27B. 29C. 31D. 33E. 355. There are 12 more apples than oranges in a basket of 36 apples and oranges. How many apples are in the basket?A. 12B. 15C. 24D. 28E. 366. Which of the following correctly identifies 4 consecutive odd integers where the sum of the middle two integers is equal to 24?A. 5, 7, 9, 11B. 7, 9, 11, 13C. 9, 11, 13, 15D. 11, 13, 15, 17E. 13, 15, 17, 197. What is the next number in the sequence? 6, 12, 24, 48, ___A. 72B. 96C. 108D. 112E. 1248. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?A. 0B. 1C. 2.33D. -3E. none of the above9. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___A. 1/10B. 1/12C. 1/14D. 1/15E. 1/1610. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookiesA. degrees CelsiusB. millilitersC. quartsD. kilogramsE. cupsSSAT 数学题库SSAT 数学综合练习题1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?A. 2 yearsB. 3 yearsC. 4 yearsD. 5 yearsE. 6 years2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?A. 4B. 8C. 12D. 13E. 163. If r = 5 z then 15 z = 3 y, then r =A. yB. 2 yC. 5 yD. 10 yE. 15 y4. What is 35% of a number if 12 is 15% of a number?A. 5B. 12C. 28D. 33E. 625. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?A. $1800B. $1900C. $2000D. $2100E. $22006. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?A. $29,250B. $31,200C. $32,500D. $33,800E. $33,9997. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?A. $24,200B. $28,900C. $35,600D. $37,300E. $39,2008. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysD. 1.65 daysE. 1.97 days9. Find 0.12 ÷ 12A. 100B. 10C. 1D. 0.01E. 0.00110. Divide x5 by x2A. x25B. x10C. x7D. x3E. x2.511. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?A. 0B. 1C. 2.33D. -3E. none of the above12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8A. 2B. 3C. 4D. 5E. 613. In the fraction 3/x, x may not be substituted by which of the following sets?A. {1, 2, 4}B. {-2,-3,-4}C. {1, 3, 7}D. {0, 10, 20}E. {1.8, 4.3}14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?A. She has enough sugar.B. She needs 1/8 of a cup of sugar.C. She needs 3/80 of a cup of sugar.D. She needs 4/19 of a cup of sugar.E. She needs 1/9 of a cup of sugar.15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?A. 10.5%B. 16.7%C. 25%D. 32.3%E. 38%16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student made a“C”in Trigonometry, a“B”in American History, an“A”in Botany, and a“B”in Microbiology?A. 2.59B. 2.86C. 3.08D. 3.33E. 3.6717. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs?A. 12 ouncesB. 86 ouncesC. 119 ouncesD. 124 ouncesE. 138 ounces18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?A. increases by halfB. decreases by halfC. triplesD. doublesE. remains the same19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___A. 1/10B. 1/12C. 1/14D. 1/15E. 1/1620. Of the following units which would be more likely used to measure the amount of water in a bathtub?A. kilogramsB. litersC. millilitersD. centigramsE. volts21. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?A. 5 1/16 inch highlighterB. 3 1/8 inch jewelry boxC. 2 3/4 inch lipstickD. 2 3/16 inch staple removerE. 4 1/2 inch calculator22. Which of the following fractions is the equivalent of 0.5%?A. 1/20B. 1/200C. 1/2000D. 1/5E. 1/50023. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?A. (17, -2)B. (10, 6)C. (6, 8)D. (-10, 3)E. (-2, -17)24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day? A. $4.07 B. $3.57 C. $6.51 D. $2.93 E. $5.4125. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?A. degrees CelsiusB. millilitersC. quartsD. kilogramsE. cups26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer sothat the ends will not show from under his shirt. Which of the following pieces of string will work the best?A. 3 4/5 feetB. 3 2/3 feetC. 3 3/8 feetD. 3 1/4 feetE. 2 1/2 feet27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?A. $800.30B. $833.60C. $842.35D. $862.50E. $970.2528. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?A. 150/xB. 150xC. 6xD. x/6E. 1500x29. If 6 is 24% of a number, what is 40% of the same number?A. 8B. 10C. 15D. 20E. 2530. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?A. $57B. $90C. $104D. $112E. $12231. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?A. 58%B. 119%C. 158%D. 175%E. 200%32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =A. 12B. 25C. 33D. 47E. 8633. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? A. 50 miles B. 100 miles C. 500 miles D. 700 miles E. 1,000 miles34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?A. 0.9WLB. 0.3WLC. 0.1WLD. 9WLE. 3WL35. Find 8.23 x 109A. 0.00000000823B. 0.000000823C. 8.23D. 8230000000E. 82300000000036. During a 5-day festival, the number of visitors tripled each day. If the festival opened ona Thursday with 345 visitors, what was the attendance on that Sunday?A. 345B. 1,035C. 1,725D. 3,105E. 9,31537. Which of the following has the least value?A. 0.27B. 1/4C. 3/8D. 2/11E. 11%SSAT 数学题库(一)SSAT 数学综合练习题1 What is the perimeter of a rectangle with side lengths of 8 and 3?a. 6b. 11 c, 16 d. 22 e. 252 The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryparallel3 How many points are necessary to define a line?a. Oneb. Twoc. Threed. Foure. Infinite4Two 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?a. 1b. 2c. 3d. 4e. 55 What interest rate is necessary to get $1000 in interest over 2 years on a $10000 investment?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?a. 13b. 14c. 15d. 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?a. 15b. 20c. 30d. 40e. 458 The base angles of an isosceles triangle are:PerpendicularCongruentComplimentarySupplementaryParallel9 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?A. x + 1 C. 3x + 1B. x + 1/3 D. 3x + 1/3E. 3x + 3 1/311 In a classroom of 35 students, 14 our male. What percent of the classroom is male?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?A. 3B. 6C. 8D. 10E. unknown13 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?Ⅰ12Ⅱ14Ⅲ16A. I onlyB. III onlyC. I & III.D. I & IIE. 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?A. 55 mphB. 60 mphC. 65 mphD. 70 mphE. 75 mph15 If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas?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 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?A. $5.95B. $4.25C. $5.10D. $3.25E. $3.4017 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?A. 100B. 150C. 200D. 300E. 60018 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?A. 9B. 15C. 18D. 24E. 2519 Lenny's average score after 3 tests is 88. What score on the 4th test would bring Lenny's average up to exactly 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 thefollowing?A. 12B. 18C. 24D. 36E. 5421 A certain machine can make 3 widgets every 2 seconds. At this rate, how many widgets will be made in 1 minute?A. 90B. 110C. 150D. 180E. 22022 What is the average of the first 50 positive integers?A. 25B. 25.5C. 26D. 26.5E. 2723 If ab is negative, which of the following CANNOT be negative?A. b-aB. 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?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?A. 42B. 82C. 22D. 62E. 12226 Which is greater?Column A 3-5+6-8-4+7Column B -2A. the quantity in Column B is greaterB. the relationship cannot be determined from the information givenC. the quantity in Column A is greaterD. the two quantities are equal27 If a die is tossed twice the probability of getting a 3 on both tosses is: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 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?A. $325B. $375C. $400D. $408E. $42529 If y(x-1)=z then x=A. y-zB. z/y + 1C. y(z-1)D. z(y-1)E. 1-zy30 Which of the following values is NOT equal to 34(58+9)?A. 34 x 67B. 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?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 equal tohow many grams?A. 863B. 878C. 896D. 915E. 93233 Which year did the most children take swimming lessons?A. 1990B. 1991C. 1992D. 1994E. 199534 Between which year did the largest decrease in children taking swimming lessons occur?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?A. 250B. 308C. 385D. 450E. 1,85036 Which of the following is equal to 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?A. 65 milesB. 84 milesC. 124 milesD. 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 with the lid still being able to be closed?A. 18B. 24C. 32D. 36E. 4339 Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?A. 10B. 15C. 20D. 25E. 3040 Which of the following fractions is equal to 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?A. $224.51B. $237.60C. $246.55D. $271.38E. $282.3242 In a writing competition, the first place winner receives of the prize½money. The second runner up receives of what the winner won. What was the ¼total amount of prize money distributed if the winner receives $6,000?A. $6,000B. $8,500C. $12,000D. $15,000E. $18,50043 You are lying 120 ft away from a tree 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?A. 50 feetB. 75 feetC. 120 feetD. 130 feetE. 150 feet44 A cyclist bikes x distance at 10 miles per hour and 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?A. 8.1B. 8.3C. 8.6D. 8.9E. 9.045 If edging cost $2.32 per 12-inch stone, and you want a double layer of edgingyour flower bed that is 6 yards by 1 yard. How much will edging you flower bedcost?A. $32.48B. $64.96C. $97.44D. $129.92E. $194.8846 If 3x=6x-15 then x + 8=A. 5B. 10C. 11D. 12E. 1347 The number of milliliters in 1 liter isA. 10,000B. 1,000C. 0.1D. 0.01E. 0.001SSAT 数学题库SSAT 数学专项训练1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?A. ZY - VB. Z/V - 3 - YC. Z/3 - V - YD. 3V- Z - YE. V- Z - Y2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?A. 2 hoursB. 4 ½ hoursC. 5 ¾ hoursD. 6 hoursE. 7 ½hours3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?A. 12 minutesB. 15 minutesC. 21 minutesD. 23 minutesE. 28 minutes4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?A. 2x + 5 (x-1) = 9, x = 2B. p - 3(p-5) = 10, p = 2.5C. 4 y + 3 y = 28, y = 4D. 5 w + 6 w - 3w = 64, w = 8E. t - 2t - 3t = 32, t = 85. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?A. 4%B. 5%C. 6%D. 7%E. 8%6. Which of the following is not a rational number?A. -4B. 1/5C. 0.8333333...D. 0.45E.7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?A. 55B. 150C. 200D. 400E. 6008. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?A. 25 mphB. 37 mphC. 41 mphD. 49 mphE. 56 mph9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?A. 2 minutes and 44 seconds D. 3 minutes and 26 secondsB. 2 minutes and 58 secondsE. 4 minutes and 15 secondsC. 3 minutes and 10 seconds10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysD. 1.65 daysE. 1.97 days11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string willwork the best? A. 3 feet B. 3 ¾ feet C. 3 ½feet D. 3 ¼ feet E. 2 ½feet12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increasein sales from the last week of the previous month compared to the first week of the next month?A. 58%B. 119%C. 158%D. 175%E. 200%13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? A. 50 miles B. 100 miles C. 500 miles D. 700 miles E. 1,000 miles14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?A. 345B. 1,035C. 1,725D. 3,105E. 9,315SSAT 数学题库SSAT 数学专项练习题1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?A. 5/pB. p - 5C. p + 5D. p/5E. 1- p + 52. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?A. 2 hours and 24 minutesB. 3 hours and 12 minutesC. 3 hours and 44 minutesD. 4 hours and 10 minutesE. 4 hours and 33 minutes3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?A. $280.90B. $287C. $292.50D. $306E. $333.894. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?A. $14,310.40B. $14,990.90C. $15,290.70D. $15,737.50E. $16,935.805. Solve the following equation for A : 2A/3 = 8 + 4AA. -2.4B. 2.4C. 1.3D. - 1.3E. 06. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?A. 8B. 10C. 14D. 19E. 217. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?A. $240B. $480C. $720D. $960E. $1,2008. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?A. $496.30B. $512.40C. $555.40D. $574.90E. $588.209. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?A. 10 centsB. 11 centsC. 15 centsD. 17 centsE. 21 cents10. A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a B in the art class, an B in the history class, a C in the science class, a A in the mathematics class, and an A in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)A. 2.7B. 2.8C. 3.0D. 3.1E. 3.211. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?A. $120.25B. $160.75C. $173.75D. $180E. $182.5013. If r = 5 z then 15 z = 3 y, then r =12. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?A. 4B. 8C. 12D. 13E. 1613. If r = 5 z then 15 z = 3 y, then r =A. yB. 2 yC. 5 yD. 10 yE. 15 y14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?A. 150/xB. 150xC. 6xD. 1500/xE. 600x15. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?A. $57B. $90C. $104D. $112E. $12216. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =A. 12B. 25C. 33D. 47E. 8617. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?A. $5.20B. $7.35C. $13.40D. $19.95E. $21.2518. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?A. $3225B. $4350C. $5375D. $6550E. $639819. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?A. $132.85B. $145.75C. $162.90D. $225.25E. $226.7520. If y = 3, then y3(y3-y)=A. 300B. 459C. 648D. 999E. 1099SSAT 数学题库(五)SSAT 数学专项练习题答案1. A2. A3. D4. D5. A6. A7. E8. A9. D 10. C 11. C 12. D 13. A 14. A 15.B 16.C 17. C 18. B 19. A 20. CSSAT 数学题库SSAT 数学专项练习题1. 104 is not equal to which of the following?A. 100,000B. 0.1 x 105C. 10 x 10 x 10 x 10D. 102 x 102E. 10,0002. Multiply 104 by 102A. 108B. 102C. 106D. 10-2E. 1033. Divide x5 by x2A. x7B. x4C. x10D. x3E. x2.54. Find 8.23 x 109A. 0.00000000823B. 0.000000823C. 8.23D. 8230000000E. 8230000000005. 83,000 equals:A. 83.0 x 104B. 8.3 x 104C. 8.3 x 103D. 83.0 x 105E. 83.0 x 1026. .00875 equals:A. 8.75 x 10-2B. 8.75 x 10-3C. 8.75 x 10-4D. 87.5 x 10-3E. 875 x 10-4SSAT 数学题库(六)SSAT 数学专项练习题答案1. A2. C3. D4. D5. B6. BSSAT 数学题库(七)SSAT 数学专项练习题1. If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk?A. $145B. $160C. $180D. $210E. $2152. A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?A. $9.765.45B. $10,876.90C. $12,359.55D. $14,345.48E. $15,745.453. How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?A. 1 yearB. 2 yearsC. 3 yearsD. 4 yearsE. 5 years4. Sabrina's boss states that she will increase Sabrina's salary from $12,000 to $14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?A. 15%B. 16.7%C. 17.2%D. 85%E. 117%5. 35% of what number is 70?A. 100B. 110C. 150D. 175E. 200E. 250。

SSATLower Level Math Practice Test 1SECTION1Time – 30 Minutes25 QuestionsEach problem in this section contains five suggested answers. Work out the problem in your head or in the space provided at the right side of the page. Then choose the best answer.Sample Question:300 –550 =(B)(C) (D)(E) (A) 250350850-250-850ANSWER: D1. 10 + 15 – 24 = USE THIS SPACE FOR FIGURING .(A) 0(B) 1(C) 2(D) 3(E) 42. What is the perimeter of the square shown in Figure 1? (D) 8(E) 12Figure 1Ivy Globalhttp://www.ivyglobal.ca EDUCATION CONSULTINGSSATLower Level Math Practice Test 23. How many odd numbers are there between the USE THIS SPACE FOR FIGURING .numbers 0 and 10?(A) 3(B) 4(C) 5(D) 6(E) 74. Which of the following sets of numbers is in theright order, from smallest to largest?(A) 1, 2, 2.5, 3, -5(B) 1, 3.1, 2, 4, 5(C) -1, 0, 4, -6, 8(D) 1, 2, 0.3, 0.4, 0.5(E) 3, 5, 7, 9, 9.15. Sam had 3 van models, 4 truck models, and 6 racecarmodels. Today, his father gave him one model of eachtype. How many models does he have in his collectionnow?(A) 16(B) 17(C) 18(D) 196. If the polygon in Figure 2 is equal-sided and its perimeteris 24, what is the length of each side?(A) 3(B) 3.5(C) 4(D) 4.5(E) 5Ivy Global EDUCATION CONSULTING Figure 2http://www.ivyglobal.caSSATLower Level Math Practice Test 37 . According to the graph in Figure 3, howmany more TV’s did Jack sell in 2005than in 2003?(A) 0(B) 3(C) 5(D) 7(E) 20USE THIS SPACE FOR FIGURING .2181614121Jack's Annual TV Sales2002 2003 2004 2005 2006 2007Figure 38 . If a number is subtracted by 5, the difference is 1.If the same number is divided by 2, the answer is?(A) 0(B) 1(C) 2(D) 3(E) 49 . Sarah divides her $8 snack money to be spent equallybetween candies, chocolates, and potato chips. About how much will she spend on potato chips?(A) $1.00Ivy Global(B) $1.50(C) $2.30(D) $2.50(E) $2.70 Ivy GlobalSSATLower Level Math Practice Test 41+3 +5 +710. = USE THIS SPACE FOR FIGURING.10−5−3−1(A) 9(B) 16(C) 17(D) 18(E) 2011. What is the value of x, shown in Figure 4?(A) 45o(B) 50o(C) 55o(D) 60o(E) 65 oFigure 4112. Which of the following fractions is closest to ?2(A)(B)(C) (D)XIvy Global3 6 5 8919202 (E) 13Ivy GlobalSSATLower Level Math Practice Test 513. If 20 + 15 – ! = 40, then ! =(A) 0(B) 5(C) -5(D) 10(E) - 10USE THIS SPACE FOR FIGURING .14. Which number comes next in the sequence of1, 4, 9, 16?(A) 17(B) 19(C) 23(D) 24(E) 25Questions 15 – 17 refer to the graph in Figure 5.15. What is the average amount the baseball teamraised per quarter?(A) $30(B) $40(E) $6016. How much did all threeteams raise for the 4thquarter in total?(A) $75(D) $100(E) $150Ivy Global EDUCATION CONSULTINGValley HighFundraising1st Qtr2nd Qtr3rd Qtr4th Qtr20 40 60DollarsRaisedFigure 5http://www.ivyglobal.caBaseballH ockeyBasketbal80 100SSAT Lower Level Math Practice Test 617. During which quarter did the teams raised the most USE THIS SPACE FOR FIGURING . funds together?(A) First(B) Second(C) Third(D) Fourth(E) Not enough information givenA + B18 . If A♠B = , then ♠6 =A −B 5(A) 5(B) - 1(C) 0(D) 11(E) - 1 119. Which of the following figures CANNOT be drawnwithout lifting the pencil or retracing?(A) (B)Ivy Global(C) (D)(E) None of the aboveIvy GlobalSSATLower Level Math Practice Test 7USE THIS SPACE FOR FIGURING20. If (M + N) × 4 = 28 and both M and N are non-zero whole numbers, then M could NOT be(A) 1(B) 3(C) 5(D) 7(E) Not enough information given21. What is the eighth term in the sequence0, 1, 1, 2, 3, 5, …?(A) 13(B) 21(C) 34(D) 55(E) 8922. At the Fantastic Zoo, the ratio of tigers to leopardsis 5 to 1. Which of the following could NOT bethe total number of tigers and leopards at the zoo?(A) 6(B) 16(C) 18(D) 36Ivy Global(E) 60Ivy GlobalSSATLower Level Math Practice Test 8USE THIS SPACE FOR FIGURING .5A3× 10152, 82323. In the multiplication problem above, A representswhich digit?(A) 0(B) 1(C) 2(D) 4(E) 624. To which of the following is 1.23 closest?(A) 12.0(B) 120(C) 1.2(D) 1.25(E) 1.2225. Two people can paint two houses in three days.How many people are needed to paint three housesin three days?Ivy Global(A) 1.5(B) 2(C) 2.5(D) 3(E) 4STOPIF YOU FINISH BEFORE THE ALLOTED TIMEYOU MAY CHECK YOUR ANSWERS ONLY FOR THIS SECTIONDO NOT TURN TO OTHER SECTIONS OF THIS TEST Ivy GlobalSSAT Lower Level Math Practice Test 9SECTION2Time – 30 Minutes25 QuestionsEach problem in this section contains five suggested answers. Work out the problem in your head or in the space provided at the right side of the page. Then choose the best answer.Sample Question:25 × 8 ÷10 = (B)(C)(D)(E) (A) 2025301902000ANSWER: A1. If 2000 + 5000 + ♦ = 7,040, then ♦ = USE THIS SPACE FOR FIGURING .(A) 4(B) 40(C) 400(D) 6740(E) 70302. Which of the following is an odd integer that liesbetween 51 and 56?(B) 51(C) 52(D) 53(E) 54Ivy Globalhttp://www.ivyglobal.ca EDUCATION CONSULTINGSSAT Lower Level Math Practice Test 10 3. Each person contributed to the sameamount towards a lottery ticket. If theticket cost $100, what cannot be theamount that each gave?(A) $5(B) $10(C) $15(D) $20(E) $25USE THIS SPACE FOR FIGURING .4. What is the area of the triangle shown in Figure1?(A) 3.5(B) 7(C) 9(D) 14(E) 28 72 Figure 15. (110 – 90) ÷ 4 =(A) 2.5(B) 4(C) 5(D) 20(E) 24Ivy Global6. The perimeter of a square with an area of 64 is(A) 80(B) 64(C) 48(D) 40(E) 32Ivy GlobalSSAT Lower Level Math Practice Test 117. An airplane with a capacity of 200 passengers has68 percent of its seats filled. What is the numberof passengers?(A) 34(B) 68(C) 106(D) 136(E) 168USE THIS SPACE FOR FIGURING .8. What is the next number in the sequence of1, 3, 5, 7, …?(A) 2(B) 4(C) 5(D) 6(E) 99 . According to the graph in Figure 2, how muchdid the drama club spend on costumes?(A) $20(B) $25(C) $35(D) $45(E) $504321HOW THE DRAMA CLUB SPENT ITSBUDGETCostumesAudioVi plieDecorations10. If K = 17, then 1 less than 3 × K is equal to(A) 50(B) 47(C) 33(D) 19(E) 16Ivy Globalhttp://www.ivyglobal.ca EDUCATION CONSULTINGSSAT Lower Level Math Practice Test 1211. Which of the following statements is NOT true?(A) 10 < 15 and 1.2 < 1.25(B) 0.3 < 0.333 and 51 > 0.511(C) 0.25 = 1 ÷ 4 and 3.1 < 30(D) - 12 < 1 and -45 > -56(E) None of the aboveUSE THIS SPACE FOR FIGURING .12. 20 percent of $100 is equal to(A) 15% of $150(B) 25% of $90(C) 30% of $60(D) 40% of $50(E) 50% of $35Questions 13 – 15 refers to Figure 313. How many different paths are there from A to B,that takes on a distance of 7.5?(A) 1(B) 2(C) 3(D) 4(E) 5 14.Harryisinahurry. He wants to travel a path fromA toB that is shorter than 7.5.How many choicesdoes he have?AIvy GlobalIvy GlobalFigure 3B(A) 4 (B) 3 (C) 2 (D) 1 (E) 04433.564SSAT Lower Level Math Practice Test 13USE THIS SPACE FOR FIGURING .15. John wants to start from A, travel all thepaths exactly once, then come back to A.How much distance will he need to travel?(A) 29(B) 30.5(C) 32(D) Not enough information isgiven. (E) It is impossible to do.16. Cindy bought a dress at 50% discount off the saleprice, which is already $20 off the regular price.She paid $35. How much was the regular price ofthe dress?(A) $30(B) $50(C) $70(D) $90(E) $11017. If an empty wine glass is placed up-side down, as(C) (D)shown in Figure 4, which of the following describesall the points where the glass touches the table?(A) (B)(E)Ivy GlobalEDUCATION CONSULTINGFigure 4http://www.ivyglobal.caSSAT Lower Level Math Practice Test 14USE THIS SPACE FOR FIGURING .18. If x ♫y = x × (x ÷ y), then 3 ♫ 2 =(A) 2.5(B) 3(C) 4.5(D) 5(E) 6.519. Of the following, 33% of $9.95 is closest to(A) $3.15(B) $3.30(C) $3.45(D) $3.50(E) $3.6020. A polygon has perimeter of 84 and the average lengthis 7. How many sides does the polygon have?(A) 1 1(B) 12(C) 13(D) 91(E) 588Ivy Global21. A person started at point A. He traveled 2km north,2km east, 2km south, and 3km west. How far is he from where he started?(A) 1km north(B) 3km west(C) 2km south(D) 1km east(E) 1km westIvy GlobalSSAT Lower Level Math Practice Test 1522. Cities X and Y are separated by a distance of20km. Jim left City X and biked the first half ofthis distance at a speed of 10km/hour, then hewalked the rest of the distance. If Jim took 3hours to travel from X to Y, how fast does hewalk?(A) 3.3km/hour(B) 5km/hour(C) 6.7km/hour(D) 10km/hour(E) Not enough information givenUSE THIS SPACE FOR FIGURING .23. In Figure 5, what is the area of theUNSHADED region, ifDFGH is a square?(A) 8(B) 12(C) 16(D) 24(E) 28 444 4Figure 524. If f+ g is divisible by 9, which of the following mustalso be divisible by 9?(A) (7 × f) + (7 × g)(B) 9 + (f × g)Ivy Global(C) f+ g ÷ 9(D) 8 × (f+ g) + 1(E) (f+ g) ÷ 9 Ivy GlobalSSATLower Level Math Practice Test 1625. How many numbers can be found between thenumbers 1 and 100 that contains the digit 3? USE THIS SPACE FOR FIGURING .(A) 10(B) 1 1(C) 19(D) 20(E) 21Ivy GlobalSTOPIF YOU FINISH BEFORE THE ALLOTED TIMEYOU MAY CHECK YOUR ANSWERS ONLY FOR THIS SECTIONDO NOT TURN TO OTHER SECTIONS OF THIS TEST Ivy Global。