SSAT模拟题数学篇.docx

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SSAT模拟题数学篇

沃邦教育2015年SSAT数学练习题

1Whatistheperimeterofarectanglewithsidelengthsof8and3?

a.6

b.11

c,16

d.22

e.25

 

2Thebaseanglesofanisoscelestriangleare:

Perpendicular

Congruent

Complimentary

Supplementary

parallel

 

3Howmanypointsarenecessarytodefinealine?

a.One

b.Two

c.Three

d.Four

e.Infinite

 

4Twocarsstartfromthesameplacetwohoursapart.Thefirstcartravelsat10milesperhourandthesecondtravelsat15milesperhour.Howmanyhoursafterthesecondcarleavesdoesittakeforthesecondcartocatchup?

a.1

b.2

c.3

d.4

e.5

 

5Whatinterestrateisnecessarytoget$1000ininterestover2yearsona$10000investment?

a.4%

b.5%

c.6%

d.7%

e.8%

 

6Thesumof14consecutiveintegersis217.Whatisthesixthnumberintheseries?

a.13

b.14

c.15

d.16

e.17

 

7Paulneedstobeatameetingin20minutes.Ifhisofficeis15milesaway,howfastdoesheneedtodrivetogetthereontime,inmilesperhour?

a.15

b.20

c.30

d.40

e.45

8Thebaseanglesofanisoscelestriangleare:

Perpendicular

Congruent

Complimentary

Supplementary

Parallel

9IfA$B=A*B-(A+B),whatis3$(2$1)?

A.-5

B.-3

C.0

D.1

E.4

10Whatistheaverage(arithmeticmean)of4x+5,7x-6,and-8x+2?

A.x+1

B.x+1/3

C.3x+1

D.3x+1/3

E.3x+31/3

11Inaclassroomof35students,14ourmale.Whatpercentoftheclassroomismale?

A.14%

B.20%

C.30%

D.40%

E.50%

12Iftheareaofatriangleis24anditsbaseis6,whatisthelengthofthealtitudetothatbase?

A.3

B.6

C.8

D.10

E.unknown

13IfJeffandJimmyhavelessthan22dollarsbetweenthem,andJeffhas8dollars,whichofthefollowingcouldbethenumberofdollarsthatJimmyhas?

Ⅰ12

Ⅱ14

Ⅲ16

A.Ionly

B.IIIonly

C.I&III.

D.I&II

E.NeitherI,II,norIIIiscorrect.

14Stephaniedroveatanaveragerateof50milesperhourfortwohoursandthenincreasedheraveragerateby50%forthenext3hours.Heraveragerateofspeedforthe5hourswastmilesperhour.Whatisthevalueoft?

A.55mph

B.60mph

C.65mph

D.70mph

E.75mph

15If1alpha=2betasand1beta=3gammas,howmanyalphasareequalto36gammas?

A.6

B.12

C.36

D.72

E.108

16AtJoesSteakhousethehourlywageforachefis20%greaterthanthatofadishwasher,andthehourlywageofadishwasherishalfasmuchasthehourlywageofamanager.Ifamanagerswageis$8.50perhour,howmuchlessthanamanagerdoesachefearneachhour?

A.$5.95

B.$4.25

C.$5.10

D.$3.25

E.$3.40

17Afloristbuysrosesat$0.50apieceandsellsthemfor$1.00apiece.Iftherearenootherexpenses,howmanyrosesmustbesoldinordertomakeaprofitof$300?

A.100

B.150

C.200

D.300

E.600

18Acertainpumpcandrainafull375-gallontankin15minutes.Atthisrate,howmanymoreminuteswouldittaketodrainafull600-gallontank?

A.9

B.15

C.18

D.24

E.25

19Lenny'saveragescoreafter3testsis88.Whatscoreonthe4thtestwouldbringLenny'saverageuptoexactly90?

A.92

B.93

C.94

D.95

E.96

20Ifanintegerisdivisibleby6andby9,thentheintegermustbedivisiblebywhichofthefollowing?

A.12

B.18

C.24

D.36

E.54

21Acertainmachinecanmake3widgetsevery2seconds.Atthisrate,howmanywidgetswillbemadein1minute?

A.90

B.110

C.150

D.180

E.220

22Whatistheaverageofthefirst50positiveintegers?

A.25

B.25.5

C.26

D.26.5

E.27

23Ifabisnegative,whichofthefollowingCANNOTbenegative?

A.b-a

B.a-b

C.a2b

D.ab2

E.a2b2

24Inacertainsetofnumbers,theratioofintegerstononintegersis1:

4.Whatpercentofthenumbersinthesetareintegers?

A.20%

B.25%

C.40%

D.75%

E.80%

25Whatisthesmallestpositivenumberthatleavesaremainderof2whenthenumberisdividedby3,4,or5?

A.42

B.82

C.22

D.62

E.122

 

26Whichisgreater?

ColumnA            ColumnB

3-5+6-8-4+7        -2

A.thequantityinColumnBisgreater

B.therelationshipcannotbedeterminedfromtheinformationgiven

C.thequantityinColumnAisgreater

D.thetwoquantitiesareequal

 

27Ifadieistossedtwicetheprobabilityofgettinga3onbothtossesis:

A.1/4

B.1/36

C.1/12

D.1/6

E.1/25

28Aninstrumentstoregivesa10%discounttoallstudentsofftheoriginalcost

   ofan instrument.Duringabacktoschoolsaleanadditional15%istakenoff

   thediscounted price.Julie,astudentatthelocalhighschool,purchasesa

   flutefor$306.Howmuchdid it originallycost?

   A.$325

   B.$375

   C.$400

   D.$408

   E.$425

 

29Ify(x-1)=zthenx=

   A.y-z

   B.z/y+1

   C.y(z-1)

   D.z(y-1)

   E.1-zy

 

30WhichofthefollowingvaluesisNOTequalto34(58+9)?

   A.34x67 

   B.58(34+9)

   C.34x58+34x9

   D.1,972+306

   E.(9+58)34

 

31Twoanglesofatrianglemeasure15°and85°.Whatisthemeasureforthe

   thirdangle?

   A.50°

   B.55°

   C.60°

   D.80°

   E.90°

 

32If5ouncesisequalto140grams,then2poundsofgroundmeatisequalto

   howmanygrams?

   A.863

   B.878

   C.896

   D.915

   E.932

 

33Whichyeardidthemostchildrentakeswimminglessons?

 

   A.1990

   B.1991

   C.1992

   D.1994

   E.1995

 

34Betweenwhichyeardidthelargestdecreaseinchildrentakingswimming

   lessonsoccur?

   A.1990-1991

   B.1991-1992

   C.1992-1993

   D.1993-1994

   E.1994-1995

 

35Whatwastheaveragenumberofchildrentakingswimlessonsfrom1990to1995?

   A.250

   B.308

   C.385

   D.450

   E.1,850

 

36Whichofthefollowingisequalto5.93x10-2?

   A.0.0593

   B.0.00593

   C.593

   D.5930

   E.59300

 

37OnaMap,1inchrepresents20miles.Thedistancebetween2townsis61/5 

    inches.How many milesareactuallybetweenthetwotowns?

A.65miles

    B.84miles

    C.124miles

    D.138miles

    E.145miles

38Howmanycubedpiecesoffudgethatare3inchesonanedgecanbepackedinto

  aChristmastinthatis9inchesdeepby12incheswideby8incheshighwith

  thelidstillbeingabletobeclosed?

  A.18

  B.24

  C.32

  D.36

  E.43

39Sarahistwiceasoldasheryoungestbrother.Ifthedifferencebetweentheir

   agesis15years.Howoldisheryoungestbrother?

   A.10

   B.15

   C.20

   D.25

   E.30

40Whichofthefollowingfractionsisequalto5/6?

   A.20/30

   B.15/24

   C.25/30

   D.40/54

   E.2/7

41Whatwillitcosttotileakitchenfloorthatis12feetwideby20feetlong

   ifthetilecost$8.91persquareyard?

   A.$224.51

   B.$237.60

   C.$246.55

   D.$271.38

   E.$282.32

42Inawritingcompetition,thefirstplacewinnerreceives½oftheprize

   money.Thesecondrunnerupreceives¼ofwhatthewinnerwon.Whatwasthe

   totalamountofprizemoneydistributedifthewinnerreceives$6,000?

    A.$6,000

    B.$8,500

    C.$12,000

    D.$15,000

    E.$18,500

43Youarelying120ftawayfromatreethatis50feettall.Youlookupatthe

   topofthetree.Approximatelyhowfarisyourhearfromthetopofthetree

   inastraightline?

 

   A.50feet 

   B.75feet

   C.120feet 

   D.130feet

   E.150feet

44Acyclistbikesxdistanceat10milesperhourandreturnsoverthesamepathat8milesperhour.Whatisthecyclist’saverageratefortheroundtripinmilesperhour?

A.8.1

B.8.3

C.8.6

D.8.9

E.9.0

45Ifedgingcost$2.32per12-inchstone,andyouwantadoublelayerofedging

  yourflowerbedthatis6yardsby1yard.Howmuchwilledgingyouflowerbed 

  cost?

  A.$32.48

  B.$64.96 

  C.$97.44

  D.$129.92

  E.$194.88

46If3x=6x-15thenx+8=

   A.5

   B.10

   C.11

   D.12

   E.13

47Thenumberofmillilitersin1literis 

   A.10,000 

   B.1,000 

   C.0.1

   D.0.01

   E.0.001

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