test 8.docx
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test 8.docx
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test8
MATHEMATICSTEST
60Minutes—60Questions
DIRECTIONS:
Solveeachproblem,choosethecorrectanswer,andthenfillinthecorrespondingovalonyouranswerdocument.
Donotlingeroverproblemsthattaketoomuchtime.Solveasmanyasyoucan;thenretumtotheothersinthetimeyouhaveleftforthistest.
Youarepermittedtouseacalculatoronthistest.Youmayuseyourcalculatorforanyproblemsyouchoose,butsomeoftheproblemsmaybestbedonewithoutusingacalculator.
Note:
Unlessotherwisestated,allofthefollowingshouldbeassumed.
1.lllustrativefiguresareNOTnecessarilydrawntoscale.
2.Geometricfigureslieinaplane.
3.Thewordlineindicatesastraightline.
4.Thewordaverageindicatesarithmeticmean.
1.Onthemapbelow,2parallelstreets,NorthandSouth,intersect2otherparallelstreets,FirstandSecond.TheacuteanglewhichSecondStreetintersectsNorthStreetmeasures55°.WhatisthemeasureoftheacuteangleatwhichFirstStreetintersectsSouthStreet?
A.35°B.55°C.62.5°D.65°E.70°
2.Whichofthefollowingisasimplifiedformoftheexpression4(2+5x)+9-2x?
F.3x+17
G.7x+13
H.18x+17
J.26x+9
K.35x
3.Apointat(-2,8)inthestandard(x,y)coordinateplaneisshiftedright8unitsanddown2units.Whatarethenewcoordinatesofthepoint?
A.(-10,10)
B.(0,0)
C.(6,6)
D.(6,10)
E.(10,10)
数学测试
60分钟—60道题
说明:
解决每个问题,选择正确的答案,然后将答案填写在相应的框内。
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.你可以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.
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.在下面的地图上,两条平行的街道,北和南,相交于其他两条平行的街道,第一和第二.第二街与北街相交的锐角为55°.第一街与南街相交的锐角是多少?
A.35°B.55°C.62.5°D.65°E.70°
2.下面哪个是表达式4(2+5x)+9-2x的简化形式?
F.3x+17
G.7x+13
H.18x+17
J.26x+9
K.35x
3..标准(x,y)坐标平面上(-2,8)的点向右移动8个单位,向下移动2个单位.这个点的新坐标是什么?
A.(-10,10)
B.(0,0)
C.(6,6)
D.(6,10)
E.(10,10)
4.Toattendanannualbanquet,memberspay$17perticketwhilenonmemberspay$20perticket.Whatisthetotalamount,indollars,fromthesaleof70memberticketsandnnonmemberticket?
F.n+70
G.(20+17)n
H.20(n+17)
J.20(n+70)
K.20n+17(70)
5.Acoatoriginallypricedat$80isdiscountedto$60.Whatisthepercentofdiscountonthiscoat?
A.13%B.20%C.25%D.30%E.33
%
6.In△ABC,∠Aand∠Carecongruent,andthemeasureof∠Bis114°,Whatisthemeasureof∠A?
F.33°G.57°H.60°J.66°K.114°
7.Bellawillpick1jellybeanatrandomoutofabagcontaining28jellybeansthatareinthecolorsandquantitiesshowninthetablebelow.Eachofthejellybeansis1coloronly.
Color
Quantity
Green
Black
Red
Orange
Yellow
Blue
6
3
5
2
4
8
WhatistheprobabilitythatBellawillpickablueoryellowjellybean?
A.
B.
C.
D.
E.
8.Whatisanautomobile’saveragespeed,inmilesperhour,ifittravels60milesin
houes?
F.30G.40H.60J.90K.120
9.Todetermineastudent’soveralltestscoreforthesemester,Ms.Ackermandeletesthelowesttestscoreandcalculatestheaverageoftheremainingtestscores.Nielstookall5testaandearnedthefollowingtestscoresinMs.Ackerman’sclassthissemester:
62,78,83,86,and93.WhatoveralltestscoredidNielsearninMs.Ackerman’sclassthissemester?
A.77.5B.80.4C.83.0D.85.0E.85.5
4.参加年度宴会,会员每张票支付17美元,非会员每张票支付20美元.出售70张会员票和n张非会员票,以美元计的总额是多少?
F.n+70
G.(20+17)n
H.20(n+17)
J.20(n+70)
K.20n+17(70)
5.一件原价80美元的外套打折到60美元.这件外套的折扣率是多少?
A.13%B.20%C.25%D.30%E.33
%
6.△ABC中,∠A和∠C是全等的,∠B的度数是114°,∠A的度数是多少?
F.33°G.57°H.60°J.66°K.114°
7.贝拉将从一个装有28颗果冻豆的袋子中随机抽取1颗果冻豆,颜色和数量如下表所示.每个糖豆只有一种颜色.
颜色
数量
绿色
黑色
红色
橙色
黄色
蓝色
6
3
5
2
4
8
贝拉选择蓝色或黄色果冻豆的概率是多少?
A.
B.
C.
D.
E.
8.如果一辆汽车在
个小时内行驶60英里,那么它的平均速度是多少,单位是英里每小时?
F.30G.40H.60J.90K.120
9.为了确定一名学生本学期的总体考试成绩,阿克曼删除了最低的考试成绩,并计算了其余考试成绩的平均值.尼尔斯参加了全部5项测试,并在阿克曼这学期的课程中取得了以下成绩:
62、78、83、86和93.尼尔斯这学期在阿克曼老师的课上得了多少分?
A.77.5B.80.4C.83.0D.85.0E.85.5
10.Fortheequation5y+n=m,whichofthefollowingexpressionsgivesyintermsofmandn?
F.
G.
H.
J.10
K.m-n-5
11.If5+2x=19,then3x=?
A.7B.12C.15D.21E.36
12.Theperimeterofasquareis24feet.Whatistheareaofthesquare,insquarefeet?
F.6G.12H.36J.72K.576
13.Whatis7%of4.58×106?
A.32,060,000
B.3,206,000
C.320,600
D.763.33
E.76.33
14.Whichofthefollowingexpressionsisafactoroftheexpressionx2-6x+8?
F.x-3G.x-4H.x-5J.x-6K.x-8
15.Givenrealnumbersa,b,c,d,andesuchthatc
A.aB.bC.cD.dE.e
16.Anewoperation,♦,isdefinedonpairsoforderedpairsofintegersasfollows:
(a,b)♦(c,d)=
.Whatisthevalueof(2,1)♦(4,6)?
F.
G.
H.
J.7K.14
17.Ahighschoolbandneedstomake3sizesofflags-small,medium,andlarge-foranupcominghalftimeshow.The3sizesofflagsaremadebycombining1-footsquaresofmaterialthatcomein2colors.Fourbandmembershaveagreedtomaketheflags.Theinformationtheywillneedisgiventotheminthetablesbelow.Thetablewithcolorstellshowmany1-footsquaresofeachcolorareneededforeachsizeflag,andthetablewithnamestellshowmanyflagsofeachsizethateachpersonistomake.
Redblue
Small22
Medium53
Large105
Smallmediumlarge
Jalinda062
Lance033
Hamako260
Dakota800
Howmany1-footsquaresofbluematerialdoesLanceneedtomakehisflags?
A.42B.24C.20D.15E.14
10.对于方程5y+n=m,下列哪个表达式给出了用m和n表示的y?
F.
G.
H.
J.10
K.m-n-5
11.如果5+2x=19,那么3x=?
A.7B.12C.15D.21E.36
12.正方形的周长是24英尺.这个正方形的面积是多少,以平方英尺为单位?
F.6G.12H.36J.72K.576
13.4.58×106的7%是多少?
A.32,060,000
B.3,206,000
C.320,600
D.763.33
E.76.33
14.下面哪个表达式是x2-6x+8的因数?
F.x-3G.x-4H.x-5J.x-6K.x-8
15.给定实数a,b,c,d,和e使得c
A.aB.bC.cD.dE.e
16.一个新的操作,♦,定义在有序整数对上,其定义如下:
(a,b)♦(c,d)=
.
(2,1)♦(4,6)=?
F.
G.
H.
J.7K.14
17.一支高中乐队需要制作三种大小的旗子——小号、中号和大号——来为即将到来的中场表演做准备.三种尺寸的旗子是由两种颜色的1英尺见方的材料组合而成的.四名乐队成员同意制作国旗.他们将需要的资料在下表中提供给他们.带有颜色的表表示每种颜色对应每种大小标志需要多少个1英尺的正方形,带有名称的表表示每个人要制作多少种大小的标志.
红蓝
小22
中53
大105
小中大
Jalinda062
Lance033
Hamako260
Dakota800
兰斯需要多少平方英尺的蓝色材料来制作他的旗子?
A.42B.24C.20D.15E.14
18.Whatistheleastcommonmultipleof80,70,and30?
F.60
G.168
H.180
J.1,680
K.168,000
19.ThefigurebelowshowsMark’s,Cal’s,andLakecia’shousesatthe3verticesoftherighttriangleformedby3roads.Thedistancesgiveninthefigureareinmiles.MarkandLakeciaeachmakeatripfromMark’shousetoLakecia’shouse.MarktakesGrapevineRoad.LakeciatakesHarborRoadtopickupCal.AndthentakesLottRoad.HowmanymilesshorterisMark’stripthanLakecia’strip?
A.1
B.4
C.5
D.7
E.8
20.Whichofthefollowingisequivalentto(a8)24?
F.192aG.32aH.8a24J.a32K.a192
21.Forthefunctionh(x)=4x2-3x,whatisthevalueofh(-3)?
A.-99B.-15C.27D.45E.153
22.TheCarouselClothesShopisadvertisingasalefeaturing30%offthemarkedpriceonanyitem.Whichofthefollowinggivesthesaleprice,indollars,ofanitemwithamarkedpriceofpdollars?
F.0.3pG.p-30pH.p-0.3J.p+0.3pK.p-0.3p
23.Astoreadvertisespacksofchewinggumat5for$1.29.Atthisadvertisedprice,howmuchwouldtheatorechargefor2packsofgum?
A.$0.65B.$0.52C.$0.50D.$0.26E.$0.25
24.Johnnyissellinglemonade.Hepaid$5.00forhissuppliesandcharges$0.50perglassoflemonade.Johnny’sprofitisfoundbysubtractinghisexpensesfromhisincome.Whichofthefollowinggraphsrepresentshisprofitasafunctionofthenumberofglassesoflemonadehesells?
18.80,70,30的最小公倍数是多少?
F.60
G.168
H.180
J.1,680
K.168,000
19.下图显示了Mark's,Cal's和Lakecia的房子,它们位于由三条路组成的直角三角形的三个顶点上.图中给出的距离是以英里为单位的.马克和莱克西亚各自从马克的家到莱克西亚的家.马克走的是葡萄藤路.莱克西亚先走港湾路去接卡尔,然后再走洛特路.马克的旅程比莱克西亚的短多少英里?
A.1
B.4
C.5
D.7
E.8
20.下列哪项等于(a8)24?
F.192aG.32aH.8a24J.a32K.a192
21.对于函数h(x)=4x2-3x,h(-3)的值是多少?
A.-99B.-15C.27D.45E.153
22.旋转木马服装店正在为出售广告,其价格比任何商品的标价都低30%.下列哪个选项给出了标有p美元价格的商品的以美元为单位的售价?
F.0.3pG.p-30pH.p-0.3J.p+0.3pK.p-0.3p
23.一家商店做广告,5包口香糖,售价1.29美元.按这个广告上的价格,两包口香糖要多少钱?
A.$0.65B.$0.52C.$0.50D.$0.26E.$0.25
24.约翰尼在卖柠檬水.他花了5美元购买他的补给品,每杯柠檬水收费0.5美元.约翰尼的利润是由他的收入减去他的开支得来的.下面哪个图表代表了他的利润作为他销售的柠檬水的数量的函数?
K.
25.Thepositiveintegern!
isdefinedastheproductofallthepositiveintegerslesssthanorequalton.Forexample,3!
=1
(2)(3)=6.Whatisthevalueoftheexpression
?
A.1B.3C.6D.60E.120
26.Ms.Johnsonpurchased1,000prizesfortheschoolcarnivalfor$90.Eachprizecostseither$0.05or$0.25.Howmanyofthelessexpensiveprizesdidshebuy?
F.200G.360H.500J.640K.800
27.Acirclewitharadiusof1inchisinscribedinasquareasshownbelow.
Whatistheareaoftheshadedregion,insquareinches?
A.πB.8-πC.4-πD.2-πE.1-π
28.Thelengthsofthecorrespondingsidesof2similarrighttrianglesareintheratioof4:
7.Thehypotenuseofthesmallertriangleis20incheslong.Howmanyincheslongisthehypotenuseofthelargertriangle?
F.11G.23H.28J.31K.35
29.Forthepolygonbelow,whichofthefollowingrepresentsthelength,inmeters,ofAE?
A.
20
B.30
C.
D.
E.tan50°
30.Theperimeterofaparallelogramis76inches,and1sidemeasures14inches.Ifitcanbedetermined,whatarethelengths,ininches,oftheother3sides?
F.14,14,34
G.14,17,17
H.14,24,24
J.14,31,31
K.Cannotbedeterminedfromthegiveninformation
31.Whichofthefollowingisasolutionstatementfortheinequality3x-7<5+9x?
A.-2 25.正整数n! 定义为小于或等于n的所有正整数的乘积.例如,3! =1 (2)(3)=6.表达式 的值是多少? A.1B.3C.6D.60E.120 26.约翰逊女士花了90美元为学校嘉年华购买了1000个奖品.每个奖品的价格为0.05美元或0.25
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