test 2 MATHEMATICS TEST

1、MATHEMATICS TEST60 Minutes60 QuestionsDIRECTIONS：Solve each problem,choose the correct answer,and then fill in the corresponding oval on your answer document.Do not linger over problems that take too much time.Solve as many as you can;then retum to the others in the time you have left for this test.

2、You are permitted to use a calculator on this test.You may use your calculator for any problems you choose,but some of the problems may best be done without using a calculator.Note：Unless otherwise stated,all of the following should be assumed.1. lllustrative figures are NOT necessarily drawn to sca

3、le.2. Geometric figures lie in a plane.3. The word line indicates a straight line.4. The word average indicates arithmetic mean.1.Which of the following experssions is equivalent to a(4-a)-5(a+7)=?A.-2a-35B.-2a+7C.-a2-a-35D.-a2-a+7E.-a3-352.Which of the following inequalities orders the numbers 0.2,

4、0.03,and from least to greatest?F. 0.20.03G. 0.030.2H. 0.030.2J. 0.030.2K. 0.20.033.If x2+4=29,then x2-4=? A. 5B. C. 21D. 25E. 33数学测试60 分钟60道题说明：解决每个问题，选择准确的答案，然后将答案填写在相对应的框内。不要纠结于那些花费太多时间的问题.尽可能多地解，然后在剩下的时间里解答其他题.这次考试允许你用计算器.你能够用计算器解决你选择的任何问题，但有些问题最好不用计算器就能解决。注：除非另有说明，否则应假定所有下列情况.1.所有几何图形不一定是按比例绘制的

5、.2.几何图形都在同一个平面内.3.单词“线”表示直线.4.单词“平均值”表示算术平均数.1.以下哪一项等于 a(4-a)-5(a+7)=?A.-2a-35B.-2a+7C.-a2-a-35D.-a2-a+7E.-a3-352.以下哪种不等式表示了数字0.2,0.03, 从最小到最大的大小关系?F. 0.20.03G. 0.030.2H. 0.030.2J. 0.030.2K. 0.22y-4?A. x-4y+2C. x2y+2D. x4y+230.For an angle with measure a in a right triangle. sina= and tana=.What is

6、the value of cosa? F.G.H.J.K.31.The perimeter of rectangle is ABCD 96 cm. The ratio of the side lengths AB:BC is 3:5. What is the length, in centimeters, of AB=? A. 6 B.18 C.30 D.36 E.6032.For ABC shown below,base AC has a length of 16 inches and altitude BD has a length of 8 inches.The area of a ce

7、rtain square is equal to the area of ABC. What is the length,in inches,of a side of the square?F. 6G. 8 H.12J.16K.32Use the following informatino to answer questions 3336.In the figure shown below,ABCD is a rectangle,EFGH is a square,and CD is the diameter of a semicircle.Point K is the midpoint of

8、CD. Point J is the midpoint of both AB and EF. Point E and F lie on AB. The 3 given lengths are in meters.27.在同一标准(x,y)坐标平面上绘制的图形是一个圆和一个抛物线.圆的半径为3和圆心为(0, 0).抛物线上最高的点为(-3,-2).与对称轴垂直的直线通过点(-2,-1).圆和抛物线有多少个交点?A.0 B.1 C.2 D.3 E.428.250的40等于下面哪个数的 60?F.150 G.160 H.166 J.270 K.37529.以下哪种不等式相当于-2x-6y2y-4?A

9、. x-4y+2C. x2y+2D. x4y+230.角a是一个直角三角形的内角. sina= , tana=.则 cosa=? F.G.H.J.K.31.矩形ABCD的周长为96 厘米.两边长的比率为AB:BC=3:5.则AB的长度 (以厘米为单位) 是多少？ A. 6 B.18 C.30 D.36 E.6032.如下图所示的ABC中, 底边AC的长度为16英寸,高BD的长度为8英寸.某正方形的广场的面积等于ABC的面积.这正方形的边长 (以英寸为单位) 是多少？F. 6G. 8H.12J.16K.32使用以下信息回答问题3336.在如下所示的图中， ABCD是一个长方形， EFGH是正方形

10、，且CD是半圆的直径.点K是CD中点.点J是AB和EF的中点.点E和F位于AB上.3个给定的长度以米为单位.33.The length of EH is what percent of the length of AD?A.15.6B.30C.36D.43.2E.5034.What is the length, in meters,of JD?F.13 G.15.6 H.17 J. K.35.What is the length, in meters,of are ?A. 2.5pB. 5pC. 6.25pD. 10pE. 25p36.The figure will be placed in

11、the standard (x,y) coordinate plane so that K is at the origin. AB is paralllel to the x-axis, and 1 meter equals 1 coordinate unit. Which if the following values could be the y-coordinate of H?F.1.8 G.3.6 H.8.4 J.10 K.1237.What is the length.in coordinate units. of the altitude from C to AB in ABC

12、shown in the standard (x,y) coordinate plane below? A.3 B.5 C.6 D. E.38.At a local post office,on average, 3 customers are in line when the post office closes each day. The probability,P,that exactly n customers are in line when the post office closes can be modeled by the equation .Given that ,whic

13、h of the following values is closest to the probability that exactly 2 customers are in line when the post office closes?F.0.08 G.0.11 H.0.15 J.0.23 K.0.4533.EH的长度是AD长度的百分之几?A.15.6B.30C.36D.43.2E.5034.JD的长度 (以米为单位) 是多少？F.13 G.15.6 H.17 J. K.35.的长度 (以米为单位) 是多少？A.2.5pB.5pC.6.25pD.10pE.25p36.该图将放置在标准(x

14、,y)坐标平面中, 以便K位于原点.AB与x轴平行, 1 米等于1个坐标单位.如果以下值可以是点H的纵坐标y ?F.1.8 G.3.6 H.8.4 J.10 K.1237.在标准(x,y)坐标平面下面显示的是ABC中，从顶点C到水平的边AB的高度是什么? A.3 B.5 C.6 D. E.38.在当地的邮局, 邮局每天关门时, 平均有3名顾客排队.当邮局关闭时, 准确的n个客户排队的概率P可以用方程建模.给出, 以下哪个值最接近邮局关门时正好有2个客户排队的概率 ?F.0.08 G.0.11 H.0.15 J.0.23 K.0.4539.What is the amplitude of the

15、 function ?A. B. C. D.2 E.340.A sphere with radius x inches has a volume of 12 cubic inches.What is the value of x?(Note:The volume of a sphere with radius r is .)F. G. H. J. K.41.For 20 quiz scores in a typing class.the table below gives the frequency of the scores in each score interval.Which scor

16、e interval contains the median of the scores?Score intervalFrequency96-10091-9586-9081-8576-8031349A.96-100 B.91-95 C.86-90D.81-85 E.76-8042.The angle of elevation to the top of a tree from a spot on level ground 50 feet from the base of the tree is 40.Which of the following is closest to the height

17、 of the tree,in feet?(Note:sin400.64,cos400.77,tan400.84)F.32 G.38 H.42 J.60 K.6543.After visiting Florida State Universuty during spring break.Francisco rents a car for 2 days to travel around Florida. He has $255 tospend on car rental for the 2 days. Sea Horse Car Rental charges $50 per day and $0

18、.25 per mile.Ocean Blue Car Rental charges $60 per day and $0.20 per mile.Which company,if either, allows him to travel more miles for the 2 days.and how many miles more?(Note:Taxes are already included in the rental charges.)A.Sea Horse, 20B.Ocean Blue, 55C.Ocean Blue, 100D.Sea Horse, 135E.Francisc

19、o would get the same maximum number39.什么是函数的振幅 ?A. B. C. D.2 E.340.半径为x英寸的球体的体积为12立方英寸.x的值是多少？(注: 半径为r的球体的体积为.)F. G. H. J. K.41.对于打字班的20个测验分数, 下表给出了每个得分区间中分数的频率.哪个分数区间包含分数的中值?得分区间频率96-10091-9586-9081-8576-8031349A.96-100 B.91-95 C.86-90D.81-85 E.76-8042.从树底50英尺处的水平地面上的一个点到树顶的仰角是40.以下哪项最接近树的高度(以英尺为单位

20、)?(Note:sin400.64,cos400.77,tan400.84)F.32 G.38 H.42 J.60 K.6543.春假期间参观佛罗里达州立大学.弗朗西斯科租了一辆汽车, 2天时间在佛罗里达各地旅行.他有255美元租车, 为期2天.海马租车费用为每天50美元, 每英里0.25 美元.海蓝汽车租赁费用每天60美元, 每英里0.20美元. 哪一家公司，如果其中任何一个，让他在2 天内可以旅行更多的里程,有多少英里以上？（附注：税已包括在租用费）A.海马, 20B.海蓝, 55C.海蓝, 100D.海马, 135E.弗朗西斯科将得到比上述的更大数字44.The table below

21、gives experimental data values for variables x and y. Theory predicts that y varies directly with x. Based on the bxperimental data.which of the following values is closest to the constant of variation?(Note:The variable y varies directly with the variable x provided that y=kx for some nonzero const

22、ant k. called the constant of variation.)xy2.758.5014.7516.7521.000.1400.4250.7500.8501.050F. -2.61 G.0.05 H.3.61 J.15.90 K.20.0045.During a snowstorm,the relationship between the depth of accumulated snow,y inches,and the elapsed time. x hours,was modeled by the equation 2x-5y=-5. One of the follow

23、ing graphs in the standard (x,y) coordinate plane models the equation for positive values of x and y. Which one?44.下表给出了变量x和y的实验数据值. 理论预测y随x的变化而直接变化. 根据实验数据, 以下哪一个值最接近变化常数？(注：变量y随变量x的变化而变化，在y=kx条件下(某一非零常数k叫变化常数.)xy2.758.5014.7516.7521.000.1400.4250.7500.8501.050F.-2.61 G.0.05 H.3.61 J.15.90 K.20.004

24、5.在暴风雪中, 积雪的深度y（英寸）和经过的时间x（小时）之间的关系由方程2x-5y=-5建模.标准(x,y)坐标平面中,以下图形之一对 x和y的正值的方程进行建模.哪一个? A46.Diana is baking bread.and the original recipe calls for teaspoons of yeast and cups of flour.Diana will use the entire contents of a packet that contains teaspoons of yeast and will use the same ratio of ing

25、redients called for in the original recipe. How many cups of flour will Diana use? F.1 G.3 H.3 J.3 K.447.For all nonzero values of x,=?A.4x3-3xB.4x3-3C.4x4-9x2D.4x4-3xE.4x4-348. Four matrices are given below.Which of the following matrix products is undefined?F.WX G.WY H.YZ J.XW K.XZ49.A circle, 2 c

26、hords,and some lengths,in centimeters, are shown in the figure below.which is not drawn to to scale.What is the value of x?(Note:When two chords intersect,the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.)A.10B.13.5C.14D.17.

27、5E.1946.戴安娜正在烤面包, 原来的食谱要求茶匙的酵母和杯面粉.戴安娜将使用包含茶匙的酵母包的全部内容, 并将按原始配方中要求的相同比例的成分.戴安娜将用多少杯面粉？? F.1 G.3 H.3 J.3 K.447.对于x的所有非零值,=?A.4x3-3xB.4x3-3C.4x4-9x2D.4x4-3xE.4x4-348.下面给出了四个矩阵：未定义是哪些以下矩阵积？F.WX G.WY H.YZ J.XW K.XZ49.一个圆, 2条弦, 和一些长度, 以厘米为单位, 显示在下面的图中, 不绘制到刻度. x的值是多少？(注意: 当两个和弦相交时, 一条弦上的线段长度的乘积等于另一条弦上的线段

28、长度的乘积.)A.10B.13.5C.14D.17.5E.1950.If the area of KLMN in the figure below is 12 square centimeters. What is the length,in centimeters,of LM ?F. G. H. J. K.51.A teacher assigns each of her 18 students a different integer from 1 through 18. The teacher forms pairs of study partners by using the rule t

29、hat the sum of the pair of numbers is a perfect square. Assuming the 9 pairs of students following this rule,the student assigned which number must be paired with the student assigned the number 1 ？A.16B.15C. 9C. 8E. 352.Given that (x+2) and (x-1) are factors of the quadratic expression below,what are the values of a and b ? x2+(a+2)x+a+b a bF.-4 5G.-3 1H