test 3 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.What is the value of x when +16=10?A.-9B.-4C. 4D. 9E.392.A bowl contains 100 jelly beans, of which 42 are red, 36 are blue, and 22 are green. What is the probability that

4、 a jelly bean picked at random from the bowl will NOT be red?F. G. H. J.K.3.For what value of x is the equation 3.6x+7.99=1.03-2.4x true? A.-58B.-5.8C. -1.16D. 1.16E. 5.8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

5、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.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.当 +16=10时，x的值是什么?A.-9B.-4C. 4D. 9E.392.碗里有100个果冻豆, 其中42个是红色的, 36个是蓝色的, 22个是绿色的.从碗里随机采摘的果冻豆不会是红色的概率是多少？F. G. H. J.K.3满足方程3.6x+7.99=1.03-2.4x 的x的值是什么? A.-58B.-5.8C. -1.16D. 1.16E. 5.84.In the figure below,the measu

6、re of XAB is 150. the measure of YCB is 81.and X,A,C, and Y are collinear.What is the measure of B?F. 30G. 51H. 60J. 69K. 775.Which of the following numbers is a solution to x2-16=6x ?A.-8B. 2C. 4D. 4+E. 86.|6-4|-|3-7|=?F. -6G. -2H. 2J. 6K. 207.Dakota bought a pair of shoes that had an original pric

7、e of $70.00.The store offered a 20 discount on the original price of the shoes, and Dakota paid 6 sales tax on the discounted price of the shoes. How much did Dakota pay for the shoes, including tax?A.$51.80B.$52.64C.$59.36D.$60.20E.$79.808.What is the value of x2y3-xy2+x when+ x=-3 and y=2?F. -63G.

8、-57H. 57J. 63K. 819.A toy car travels at a constant rate of 11 inches every 5 seconds. At this rate, which of the following is closest to the number of feet the car travels in 2 minutes?A. 5 B.13 C.22 D.24 E.2810.Dalia is taking inventory of cases of soda cans.There are 24 cans in a full case,and Da

9、lia has 4 partially filled cases:1 case is full, 1 case is full,and 2 cases are each full. How many soda cans are in the 4 partially filled cases?F.48 G.64 H.68 J.80 K.96 4.在下图中,XAB =150.YCB=81.点X,A,C,和Y 共线B=?F. 30G. 51H. 60J. 69K. 775.以下哪一个数字是方程x2-16=6x的解?A.-8B. 2C. 4D. 4+E. 86.|6-4|-|3-7|=?F.-6G.-

10、2H. 2J. 6K.207.达科塔买了一双鞋子, 原价为70.00.该店提供了这双鞋原价2 0%的折扣, 达科塔就这双鞋子的折扣价缴纳了6%的销售税.达科塔买这双鞋花了多少钱, 包括税？A.$51.80B.$52.64C.$59.36D.$60.20E.$79.808.当x=-3 且 y=2时， x2y3-xy2+x =?F. -63G.-57H. 57J. 63K. 819.玩具车每5秒以11英寸的恒定速度行驶.按照这个速度, 以下哪项最接近汽车2分钟内行驶的英尺数?A. 5 B.13 C.22 D.24 E.2810. 达莉亚正在清点成箱的汽水罐.在一个完整的箱子里有24罐, 达莉亚有4

11、箱的汽水罐部分填充的情况下: 1 箱是满的, 1 箱是满的, 2个箱子是满的.4个部分灌装的箱子里有多少个汽水罐?F.48 G.64 H.68 J.80 K.9611.Each side of a square is 3 cm long. One vertex of the square is at (6,4) on a square coordinate grid marked in centimeter nuits. Which of the following points on the grid could be another vertex of the square?A. (9,4

12、)B. (6,3)C. (4,5)D. (1,-5)E. (-3,4)12.Eduar is making a cake with frosting. The recipe calls for teaspoon of vanilla extract for the cake and teaspoon of vanilla extract for the frosting. To make 2 cakes with frosting by doubling this recipe,how many teaspoons of vanilla extract does Eduardo need?F.

13、 G. H. J. K.13.In the standard (x,y) coordinate plane ,what is the midpoint of the line segment with endpoints (1,9) and (7,-3)?A. (-3,-6)B. (-1,8)C. (4,3)D. (5,2)E. (8,6)14.In the plane shown in the figure below,lines m and n are cut by transversal line t. The 8 angles at the intersections of these

14、 lines are labeled. Which of the following statements, when it is true,CANNOT always be used to prove that lines m and n are parallel?F.1=5G.1=7H.1=8J. 2=7K.4=515.The dimensions of the right triangle shown below are in feet,What is the area, in square feet, of the triangle?A. x2+4B. x2+8C. x2+5x+4D.

15、 2x2+8E. 8x216.If f(x)=x2-x+1 ,what is f(-3)=?F. -11G. -5H. 7J. 10K. 1311.正方形的每一边都有3厘米.正方形的一个顶点位于(6, 4)正方形坐标网格上, 标记为厘米, 并以厘米为单位.网格上的以下哪一个点可以是正方形的另一个顶点?A. (9,4)B. (6,3)C. (4,5)D. (1,-5)E. (-3,4)12.爱德华正在用糖霜做蛋糕.该食谱要求为蛋糕提供茶匙香草精, 茶匙香草精提取的糖霜.按照这个食谱做2个蛋糕与加倍的糖霜, 爱德华需要多少茶匙的香草提取物?F. G. H. J. K.13.在标准(x,y)坐标平面

16、中, 具有端点(1, 9)和(7,-3)的线段中点是什么?A. (-3,-6)B. (-1,8)C. (4,3)D. (5,2)E. (8,6)14.在下图所示的平面中, 线m和n由横向线 t切割.标记这些线的交点处的8个角度.以下哪种陈述, 当它是真实的, 不能证明线m和n总是平行的？F.1=5G.1=7H.1=8J. 2=7K.4=515.下面显示的直角三角形的尺寸是英尺, 三角形的面积是多少平方英尺?A. x2+4B. x2+8C. x2+5x+4D. 2x2+8E. 8x216.若 f(x)=x2-x+1 ,则 f(-3)=?F. -11G. -5H. 7J. 10K. 1317.Wh

17、at is the length, in feet, of the side of a square whose area, in square feet,is equal to the area of a 25-foot-by-16-foot rectangle?A. B. C. 9 D. 20 E. 400Use the following informatino to answer questions 1820.The graph below shows the number of ski boats sold each month by Mattins Marine Supply. T

18、he number near each point is the actual number of ski boats sold for the month corresponding with the point. The curve represents a model equation that comes close to fitting the actual numbers sold by month.Mattins Marine SupplySki Boat Sales May 2005-July 200618.One of the following is the value f

19、or September 2005 on the model curve. Which one?F.5 G.20 H.24 J. 27 K.3519.What is the average number of ski boats actually sold per month between and including the months of January 2006 and April 2006?A. B. C. D. E.20.During the period shown in the graph, each ski boat sold for exactly $30,000 bef

20、ore sales tax. On January 1,2006,the sales tax was increased from 6 to 7.How much more was the total sales tax on the actual number of ski boats sold in July 2006 than on the actual number sold in July 2005?F. $3,600 G. $5,400 H. $6,300J. $9,000 K. $9,900 17.一个正方形的面积 (平方英尺) 等于25英尺乘16英尺的矩形面积的正方形一侧的长度

21、是多少？A. B. C. 9 D. 20 E. 400使用以下信息回答问题1820.下图显示了马廷的海洋供应公司每月出售的滑雪船数量.每个点附近的数字是当月实际销售的滑雪船数量, 与点相对应.该曲线表示一个模型方程, 接近于拟合按月销售的实际数字.Mattin的海洋供应 滑雪小船销售20057月2006年18.以下是模型曲线上2005年9月的值之一.哪一个?F.5 G.20 H.24 J. 27 K.3519.2006年1月至2006年4月期间每月实际出售的滑雪船平均数量是多少？A. B. C. D. E.20.在图表所示期间, 每艘滑雪船在销售税前的售价正好为3万元.2006年1月, 销售税

22、从6% 增加到7%.2006年7月实际出售的滑雪船的销售总额比2005年7月实际销售总额高多少?F. $3,600 G. $5,400 H. $6,300J. $9,000 K. $9,900 21.For nonzero real number a,b,and c, the expression is equivalent to:A.B.C.D.E.5a7b10c522.A kikos average heart rate is 70 beats per minute. In scientific notation,how many times would her heart beat in

23、 24 hours?F. 1.44103G. 1.68103H. 4.2103J. 1.008104K. 1.00810523.The lengths of the 3 sides of a triangle are in the ratio 5:6:9. The perimeter of the triangle is 100 inches. What is the length, in inches, of the longest side of the triangle?A.10 B.25 C.30 D.45 E.5024.Given that sinA=, which of the f

24、ollowing values could tanA equal?F. G. H. J. 4 K. 525.Which of the following sets of 3 numbers could be the side lengths,in meters,of a right triangle?A. 1,1,1B. 2,3,5C. 3,4,7D. 4,9,13E. 6,8,1026.When graphed in the standard (x,y) coordinate plane, the line 2x+3y-1=0 has a slope of:F.-2 G. H. J. K.

25、221.对于非零实数 a、b 和 c, 表达式等效于：A.B.C.D.E.5a7b10c522.基科的平均心跳率是每分钟70次.在科学上的符号中, 她的心脏会在24小时内跳动多少次？F. 1.44103G. 1.68103H. 4.2103J. 1.008104K. 1.00810523.三角形的3边的长度为5:6:9.三角形的周长是100英寸.三角形最长边的长度 (以英寸为单位) 是多少？A.10 B.25 C.30 D.45 E.5024.给出sinA=，以下哪个值可能与tanA相等?F. G. H. J. 4 K. 525.以下哪组3个数字可以是直角三角形的边长 (以米为单位)?A. 1

26、,1,1B. 2,3,5C. 3,4,7D. 4,9,13E. 6,8,1026.在标准(x,y)坐标平面上绘制图形时, 2x+3y-1=0的斜率为：F.-2 G. H. J. K. 227. Which of the following expressions is equivalent to (2x2+x+3)+(2x+1)+(3x-1)-(2x+2x+2x)?A. 2x2+8x+3B. 2x2+2x+3C. 2x2+3D. 8x+3E. 2x+3Use the following informatino to answer questions 2830.Jason will have a

27、 rectangular concrete patio constructed beside his house,as shown below. The patio will have a length of 18 feet, and the top surface of the patio will have an area of 270 square feet. The patio will be constructed so that one side of the patio is against a side of Jasons house.28.The patio will hav

28、e a thickness of 6 inches. The patio will consist hoe many cubic feet of concrete?F. 45G. 90H.108J.117K.13529.Jason chooses Tullys Concrete Finishing to seal his patio. Tullys Concrete Finishing uses the formula C=3.5A+120 to calculate the charge,C dollars, to seal a patio, where A square feet is th

29、e area of the top surface of the patio. What will be the charge for sealing Jasons patio?A. $ 483B. $ 945C. $1,065D. $1,128E. $1,36530.Jason will plant shrubs along the portion of the perimeter of the patio that is NOT against his house. What is the length,in feet,of that portion？F. 33G.43.5H.48J.51

30、K.6627.以下表达式中的哪一个等效于 (2x2+x+3)+(2x+1)+(3x-1)-(2x+2x+2x)?A.2x2+8x+3B.2x2+2x+3C.2x2+3D.8x+3E.2x+3使用以下信息回答问题2830.杰森将在他的房子旁边建造一个长方形的混凝土天井, 如下图所示.天井的长为 1 8 英尺, 天井的顶部表面将有 2 7 0 平方英尺的面积.天井将被建造, 使天井的一侧倚靠杰森家的一侧.28.天井的厚度为6英寸.天井将包括多少立方英尺的混凝土?H. 45I. 90H.108J.117K.13529.杰森选择了图利的混凝土完成密封他的天井.图利的混凝土表面处理使用公式 C=3.5A

31、+120计算费用,C美元, 以密封天井, 其中A平方英尺是天井顶部表面的面积.封堵杰森天井的费用是多少？A. $ 483B. $ 945C. $1,065D. $1,128E. $1,36530.杰森将在天井周边不倚靠他的房子的部分种植灌木.那部分的长度是多少(以英尺为单位)？F. 33G.43.5H.48J.51K.6631. An airplane taking off from an airport climbs at a constant angle of ascent so that it will reach an altitude of 10,000 feet when the

32、airplane has flown 8 miles,as illustrated in the figure below. Which of the following expression gives the angle of ascent? A. ArcsinB. ArctanC. ArcsinD. ArccosE. Arctan32.Which of the following inequalities orders the 4 numbers from largest to smallest ?F. G. H. J. K. 33.What is the 7th term of the

33、 geometric sequence 1,-2,4,-8,？A. -32 B. -10 C. 16 D. 56 E. 6434.The hypotenuse of POM is PM. Which of the following statements could be true about POM?F. MO=OPG. MP=OPH. O is a right angle.J. The 3 sides of POM are congruent.K.The 3 interior angles of POM are congruent.31.从机场起飞的飞机以恒定的上升角度爬坡, 这样当飞机飞

34、行8英里时, 它将达到10, 000英尺的高度, 如下图所示.下面哪一个表达式给出了上升的角度? A. ArcsinB. ArctanC. ArcsinD. ArccosE. Arctan32.以下哪一个不等式决定了从最大到最小的4个数字?F. G. H. J. K. 33.几何序列1,-2,4,-8,的第七项是什么？A. -32 B. -10 C. 16 D. 56 E. 6434.直角POM的斜边是PM.下面哪个陈述可能是真正的POM呢?F. MO=OPG. MP=OPH. O 是一个直角.J. POM 的3条边相等.K. POM 的3个内角相等. 35.Let ABC and DEF b

35、e similar triangles such that the scale factor of ABC to DEF is .The perimeter of ABC is 20 inches. What is the perimeter of DEF, in inches？A.13B.25C.30D.40E.4536.Planters Greenhouse estimates its profit by subtracting its overhead costs from 40 of its net sales.Which of the following equations repr

36、esents this relationship between estimated profit (P),net sales (S), and overhead costs (C) of Planters Greenhouse?F.G.H.J.K.37. In right triangle PQR shown below,QR is 450 feet long and the measure of R is 35. What is the length,in feet,of PQ?A. 450sin35 B. 450tan35 C. D. E. 38.Which of the followi

37、ng is equivalent to ?F. x0 G. x H. x1 J. x3 K. x635.若ABC和DEF是相似的三角形.这样ABC对DEF的相似比是.周长ABC是20英寸.什么是DEF的周长(以英寸为单位)？A.13B.25C.30D.40E.4536.种植的温室通过从40%的净销售额中减去其开销成本来估算利润.下列哪个方程表示种植者温室的估计利润(P)、净销售额(S)和开销成本(C)之间的关系?F.G.H.J.K.37.在直角PQR中，如下图，QR为450英尺长，R=35. PQ的长度（单位：英尺）是多少？A. 450sin35 B. 450tan35 C. D. E.38.

38、以下哪项等同于 ?F. x0 G. x H. x1 J. x3 K. x639.Sofia and Lance are contributing a total of $ 2,500 per year to help their nephew pay for college.Each year, Lance contributes times the amount Sofia contributes.What is the amount, in dillars Lance will contribute over a period of 4 years?A. $ 1,250B. $ 1,875

39、C. $4,000D. $5,000E. $6,00040.Which of the following is the least common denominator for ?F. (x-2)G. 4(x+2)H. (x-2)(x+2)J. 4(x-2)(x+2)K. 4(x-2)2(x+2)41.The circle shown below has a diameter of 6 cm. What is the area,in square centimeters,of the circle?A. 3p B. 4p C. 9pD. 12p E. 36p42.Which of the fo

40、llowing is an equation of the line that passes through (10,-2) and (-2,-5) in the standard (x,y) coordinate plane?A. y=x-B. y=x-C. y=x-2D. y=-x-E. y=-x+43.A health club surveyed 175 members about which types of equipment they had used in the past month. Ofthe 175 members, 117 had used treadmills, 89

41、 had used stationary bikes,and 53 had used both types of equipment.Some members had used neither type of equipment. Of the 175 members how many had used treadmills, stationary bikes, or both? A.53 B.81 C.122 D.134 E.15339.索菲亚和兰斯每年总共出资$ 2,500帮助侄子支付大学学费.每年, 兰斯的捐款是索非亚的倍.兰斯在4年的时间里, 将贡献的金额是多少？A. $ 1,250B

42、. $ 1,875C. $4,000D. $5,000E. $6,00040.下面哪个是的最小公分母 ?F. (x-2)G. 4(x+2)H. (x-2)(x+2)J. 4(x-2)(x+2)K. 4(x-2)2(x+2)41.下面显示的圆的直径为6厘米.圆圈的面积是多少, 以平方厘米为单位？A. 3pB. 4p C. 9pD.12p E. 36p42.以下哪一项是标准(x,y)坐标平面中通过 (10,-2) 和 (-2,-5) 的直线的方程?A. y=x-B. y=x-C. y=x-2D. y=-x-E. y=-x+43.一家健身俱乐部对175名成员进行了调查, 了解他们在过去一个月中使用了

43、哪些类型的设备.在175名成员中, 117人使用了跑步机, 89人使用了固定自行车, 53人使用了这两种设备.一些成员没有使用这两类设备.在175名成员中, 有多少人使用过跑步机、固定自行车, 或者两者兼而有之? A.53 B.81 C.122 D.134 E.15344.What is the largest 2-digit integer that is divisible by 7 and is a multiple of 3?F. 21G. 42H. 84J. 98K. 10545.In the standard (x,y) coordinate plane. The line y=x

44、+6 is perpendicular to the line:A. y=-4x+6B. y= 4x+6C. y=-x+6D. y=x-6E. y=x46.An emergency helicopter is located 2 miles north and 4 miles east of City Center. There is an emergency 22 miles south and 6 miles west of City Center. Which of the following is the distance,in miles, between the helicopte

45、r and the emergency?F. 20G. 22H. 24J. 26K. 3447.The 3 statements given below are all true about certain positive integers x,y,and z. 1. x is an even prime number2. 6y93. z is a perfect square such that 10z20Which of the following integers could be the value of ?A. 4 B. 32C. 48D. 56E. 7244.最大的2位整数是什么

46、, 可被7整除, 是3的倍数?F. 21G. 42H. 84J. 98K. 10545.在标准(x,y)坐标平面中.直线y=x+6与直线垂直:A. y=-4x+6B. y= 4x+6C. y=-x+6D. y=x-6E. y=x46.一架紧急直升机位于市中心以北2英里和以东4英里处.在市中心以南22英里、以西6英里处有紧急情况.以下哪项是直升机和紧急情况之间的距离, 以英里为计?F. 20G. 22H. 24J. 26K. 3447.下面给出的3个语句对于某些正整数x、y和z都是正确的. 1. x是一个是偶数素数2. 6 y 93. z是一个完全平方数，且10z20以下哪项可以是整数的值？A.

47、 4 B. 32C.48D. 56E. 7248.The shaded region in the standard (x,y) coordinate plane below is bounded by a parabola and a line. The shaded region and its boundary is the solution set of which of the following systems of inequalities?F.G.H.J.K.49.What is the value of y in the solution of the system of e

48、quations below? x+y=-a x-y= bA.-B. b-aC. D. a+bE. 48.下面的标准(x,y)坐标平面中的阴影区域由抛物线和直线限定.阴影区域及其边界是以下不等式组中哪一个的解集合?F.G.H.J.K.49.在下面的方程组解中, y 的值是多少？ x+y=-a x-y= bA.-B. b-aC. D. a+bE. 50.In the circle shown below, central angle AOB measures 45,and are is p centimeters long. Hoe many centimeters long is the ci

49、rcles radius? F.2G.4H.8J.16K.451.The solution to ax=b is x=3. The solution to ax-2=b is x=8. What is the calue of a？A.B.C.D.E.52.Consider the equation x2-6x+k=0. When solved for x,this equation will have exactly one real solution for which of the following values of k?F.-9 G.-3 H. 6 J. 9 K.3653.In t

50、he distance that Molly pushed the wheelbarrow shown below,the wheel rotated radians. The distance that Molly pushed the wheelbarrow is what fraction of the circumference of the wheel?A.B.C.D.E.50.在下面显示的圆中, 中心角AOB=45,的长为p厘米.圆的半径是多少厘米长？F.2G.4H.8J.16K.451.对ax=b的解答是x=3.对ax-2=b的解答是x=8.什么是a的值 ？A.B.C.D.E.5

51、2.考虑方程x2-6x+k=0.当求解为x时, 这个方程将有一个真正的解, 对于以下k的值?F.-9 G.-3 H. 6 J. 9 K.3653.在莫莉推手推车的距离内, 车轮旋转弧度.莫莉推手推车的距离是车轮周长的一小部分?A.B.C.D.E.54.The domain of the function f(x)= contains all real values of x EXCEPT:F. 0G. 0 and 100H. 0 and J. -and K. -100 and 10055.In the figure below,E lies of the way from B to C on rectangle ABCD. The area of AED is what fraction of the area of rectangle ABCD?A. B. C. D. E. 56.A right square pyramid with equilateral triangular faces is shown in the figure below. The slant height of the pyramid is inches. What is the total length,in inches,of all 8 edges of the pyramid?F.12