ged math guide

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1

GED MathematicsStudy Guide

byHarold D. Shane, Ph.D.

#VAI-S123Xv1.0


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Pre-GED Mathematics3 discs

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2

GED MathematicsStudy Guide

Introduction

Do you want a high school diploma, but nd it too

difcult to study on your own, too hard to nd time

to attend classes? Getting ahead in life is difcult

enough you dont need your lack of a high school

diploma holding you back. Now you can pick your

own, time, place, and pace to study for the GED/High

School Equivalency Tests.

This comprehensive series from Video Aided Instruction

will guide you toward higher self-esteem, a better job,

and that all-important diploma. A follow-up to our

Pre-GED series that emphasizes basic skills, this series

teaches you what to expect on each of the ve GED

tests and how to best prepare for them. Now, getting

that passing score is easier than ever!

This user-friendly series will prepare you thoroughly

for the GED exams by helping you increase your skillsin a wide variety of areas, including: reading compre-

hension; essay writing; geometry; earth science; U.S.

history; calculator keys and functions; and more. By

the end of these programs, youll feel competent and

confident when you walk into that exam room!

About the Author

Harold D. Shane, Ph.D., is a Professor Emeritus of

Mathematics at Baruch College, City University of

New York, where he taught for over 30 years and

was the Department Chair for 14 years. Dr. Shane isa prolic author of mathematics textbooks, research

articles, and reviews.


3/22

3

Copyright 2004 Video Aided Instruction, Inc. All Rights Reserved

GED Mathematics Study Guid

Directions:Formultiple-choicequestions,choosetheone

best

answerforeachque

stion.Forquestionsrequiringyoutou

sethe

grid,enteryouransweratthetopofthegrid,andblackenthecor-

respondingcircles.

Thefollowingp

roblemsaredesignedtohelpyouthor

oughly

reviewthespecicareasofmathematicsthatyoureexpec

tedto

knowfortheGEDM

athematicsTest.

TheGEDMath

ematicsTestallowsyoutouseyourca

lculator

onlyonPartIofthe

exam;however,youshouldfeelfreetouse

yourcalculatorthroughoutthisentireprogramforpractice

.We

suggestthat,wherev

erappropriate,youdothecalculationstwice:

oncewithoutthecalculator,andthenoncewithit.Thiswillhelp

youimprovebothyourmathskillsandyourcalculatorskills.

PART1:Num

berOperations

1.Mrs.Winstonp

urchasedanewSUV.Shemadea$6,5

00

downpaymentandnancedtheremainder,making48equal

monthlypayme

nts.IfhertotalcostfortheSUVwas$

37,700,

howmuchwas

eachpayment?

(1)$400

(2)

$450

(3)$510

(4)$650

(5)$618

2.Dannyearns$1

8perhourfortherst40hoursworke

dina

week,andtime

andahalfforovertime.Whichexpres

sion

showshowmuchDannywouldearnina54-hourwee

k?

(1)18(14)+10

(4)

(2)18(4)+1

0(14)

(3)18(40)+27

(4)

(4)18(40)+2

7(14)

(5)18(40)+27

(54)

3.In2002,theEasyFitShoeCompanymanufactured28,000

pairsofshoes.Iftheysold840cartonsofshoes,with

30pairs

percarton,how

manypairsremainedunsold?

(1)2,800

(2)6,300

(3)12,600

(4)16,200

(5)25,200

CONTENT

S

PART1:NumberOperations.....................................................3

PART2:Probability,Statistics,andDataAnalysis..................5

PART3:Algebr

a.......................................................................11

PART4:GeometryandCoordinateGeometry......................14

Formulas....................................................................................19

AnswerGrids.............................................................................21


4/22


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5



Questions15and16refertothefollowinginformation.

LeoniaCountyBank

SimpleInterestonCDs

41 2

51 8

63 4

ytiruta

MD

ates

Annua

lRa

te

in%

shtnom

2

4

shtnom

6

3

shtnom

21

7

sraey

2

1

sraey

5

3

7

15.Carlosinves

ted$5,000inacerticateofdepositfor2years.

Howmuchmoneywillhehaveattheendof2years?

(1)$337.50

(2)$675.00

(3)$5,337

.50

(4)$5,675.0

0

(5)$5,900.00

16.Mrs.Liuzzi

invested$40,000inacerticateofdeposit.Ifthe

certicateofdeposithada3monthmaturitydate,

howmuch

interestdidsheearn?

(1)$45

(2)$450

(3)$5,400

(4)$40,450

(5)$45,400

17.Acandystoremixes6poundsofpeanutscosting$

1.60per

poundwith12poundsofraisinscosting$2.20per

pound.

Whatisthecostperpoundofthemixture?

(1)$1.60

(2)$1.90

(3)$2.00

(4)$2.20

(5)$3.00

18.AlysondroveonRoute70atanaveragerateof48miles

perhourfor2h

oursand15minutes.Ifhergasmileag

ewas

27milespergallon,andeachgalloncost$1.20,howmuch

moneydidshespendongasolineonthistrip?

(1)$4.00

(2)$4.20

(3)$4.80

(4)$5.75

(5)$6.40

19.Whatisthenex

tterminthesequence3,5,8,12,___

?

(1)13

(2)

14

(3)15

(4)16

(5)17

20.Whatisthenex

tterminthesequence211 2

14

,,

,

,

___?

(1)13

(2)

15

(3)16

(4)17

(5)

1 8

PART2:Prob

ability,Statistics,and

PART2:Data

Analysis

Probability

Questions1and2refertothefollowinginformation.

AshelfattheA

jaxBoxCompanyhas4boxeswithre

d

labels,7boxeswithyellowlabels,and15boxeswith

greenlabels.

1.IfJoepicksone

boxatrandom,whatistheprobabilitythathe

willpickabox

withagreenlabel?

(1)1

(2)4/7

(3)7/15

(4)26/15

(5)15/26

2.IfDenisepicks

oneboxatrandom,whatistheprobab

ility

thatshewillpic

kaboxwithagreenoraredlabel?

(1)4/15

(2)7/15

(3)26/19

(4)19/26

(5)22/26


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7



13.Whatistherangeoftherents?

(1)$28

(2)$30

(3)$40

(4)$100

(5)$140

Questions14and15refertothetablebelow.

Thetable

showsJessicasscoreson8mathquiz

zes.

Qu

iz

eroc

S

1

7

2

8

3

8

4

01

5

9

6

01

7

2

8

01

14.Whatwasth

emodescore?

(1)10

(2)8.5

(3)8

(4)7

(5)2

15.Whatisthedifferencebetweenthemedianandthe

mean

scores?

(1)0.5

(2)1.5

(3)7.5

(4)8.0

(5)9.5

DataAnalysis

Questions1620refertothefollowingdiagram.

Thediagram

belowshowsthepropertyinfrontof

Mr.a

ndMrs.Johnsonstownhouse.

15'

23'

30'

5'

W

ALKW

AY

DECK

PARKING

LAWN

8'

TOWNHOUSE

TOWNHOUSE

16.Ifaagstoneco

vers3squarefeet,howmanyagston

es

wouldbeneede

dtopavethewalkway?

(1)50

(2)

60

(3)75

(4)100

(5)150

17.Howlongwouldafencearoundthelawnbeifnofenceis

neededalongth

esideofthedeckorhouse?

(1)53feet

(2)75feet

(3)85feet

(4)98feet

(5)106feet

18.Whatfractiono

fthetotalareainfrontofthetownhouseis

thelawn?

(1)5/12

(2)1/2

(3)23/43

(4)2/3

(5)3/4

19.Mr.Johnsonisthinkingaboutturningtheparkingareainto

additionallawn

space.Byapproximatelywhatpercentwould

hislawnspacebeincreasedifhedoesso?

(1)10%

(2)

20%

(3)30%

(4)50%

(5)80%


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8



20.Ifitcosts$4

persquarefoottoblacktoptheparkin

gareaand

$6persquar

eyardtosodthelawn,thetotalcostforbothjobs

wouldbe

(1)$460

(2)$850

(3)$1,320

(4)$1,780

(5)$5,460

Questions2128

refertothefollowinggraphs.

WhereTheGovernmentOfCountryX

CollectsMoneyFrom(Receipts)AndHow

It

SpendsTheMoney(Outlays)

36

7

3

5

Individual

IncomeTax

30

Social

Security

19

Borrowing

Corporate

IncomeTax

ExciseTax

Other

43

12

6

5

Dir

ect

Ben

efit

Payme

ntsTo

Individuals

20

National

Defense

14

NetInterest

GrantsTo

StatesAnd

Localities

CostOfThrift

IndustryBailout

Other

WhereT

heTaxDollar

Com

esFrom

TotalReceipts:

$800Billion

WhereTheTaxD

ollar

IsSpent

TotalOutlays:

$900Billion

21.Fromwhich

sectordoesthegovernmentgetitsgre

atestrev-

enues?

(1)ExciseTax

(2)CorporateIncomeTax

(3)Borrowing

(4)SocialSecurity

(5)IndividualIncomeTax

22.Whatpercen

tiscollectedbythegovernmentfrom

Excise

Tax?

(1)3%

(2)4%

(3)19%

(4)30%

(5)37%

23.Inbillionsofdollars,whatistherevenuereceived

fromEx-

ciseTaxes?

(1)3

(2)8

(3)24

(4)240

(5)300

24.Whatfractiono

ftheoutlayisspentonNationalDefense?

(1)1/2

(2)

1/3

(3)1/4

(4)1/5

(5)1/6

25.HowmanymorebillionsofdollarsarespentonNetInterest

thanonGrantstoStatesandLocalities?

(1)12

(2)

18

(3)108

(4)126

(5)234

26.Incomefromwhichofthefollowingsourceswasmos

tnearly

equaltotheCostoftheThriftIndustryBailout?

(1)SocialSecurity

(2)Borrowing

(3)CorporateIncomeTax

(4)ExciseTax

(5)Other

27.Tothenearestp

ercent,whatpercentistheamountrec

eived

byBorrowingg

reaterthantheamountspentonNetIn

terest?

(1)1/5%

(2)

5%

(3)21%

(4)25%

(5)32%

28.Whatistheang

leatthecenterofthesectorforSocial

Se-

curity?

(1)180

(2)

108

(3)100

(4)30

(5)12


9/22

9



Questions2936

refertothefollowinggraphs.

60

50

40

30

20

10

A

2002

2032(projected)

B

CNation

Number

D

E

RetiredPeoplePer100Workers

90

80

70

60

50

40

A

Men

Women B

CNation

Years

D

E

LifeExpectancy

29.Whichnatio

nhas25retiredpeopleper100in2002?

(1)A

(2)B

(3)C

(4)D

(5)E

30.Forwhichtw

onationsisthelifeexpectancyformengreater

than75?

(1)BandD

(2)AandC

(3)Aand

E

(4)CandD

(5)CandE

31.Forwhichnatio

nisthenumberofretireesper100pro

jected

tohavetheleas

tincreaseoverthe30yearsbetween2002and

2032?

(1)A

(2)

B

(3)C

(4)D

(5)E

32.Whatisthemediannumberofretireesper100workersforthe

venationsin2

002?

(1)38

(2)

37

(3)28

(4)26

(5)25

33.Whatisthemeannumberofretireesper100workers

forthe

venationsin2

002?

(1)18

(2)

24

(3)26

(4)26.4

(5)47.4

34.Ifthereare1.5millionworkersinnationBin2002,w

hichof

thefollowingexpressionsgivesthenumberofpeople

inna-

tionBretiredin

2002?

(1)0.181.5

(2)181.5

(3)0.181

5,000

(4)0.0181,500,000

(5)0.181,500,000

35.Forthenationw

iththeleastnumberofprojectedretir

eesper

100workersin

2032,whatisthedifferenceinyearsb

etween

maleandfemalelifeexpectancies?

(1)4

(2)

5

(3)6

(4)7

(5)8

36.Forthenationw

iththeleastdifferenceinmale-femalelife

expectancy,whatnumbermostcloselyapproximatestheratio

ofprojectedretireesper100workersin2032tothenumberof

retireesper100

workersin2002?

(1)214

(2)1

45

(3)11 2

(4)1

(5)

25


10/22

1



Questions3741

refertothefollowinggraph.

1,5

00

1,0

00

500

0

198

8

1989

1990

1991

1992

1993

1994

1995

Year

Enrollment

Business

(B)

Natura

lScience

(N)

Eng

ineering

(E)

Social

Science

(S)

FallEnrollmentByMajorAt

PrescottUniversityFor19881995

SNBE

37.Whichtwomajorshadatleast500enrolleesin1990?

(1)BandE

(2)BandS

(3)SandN

(4)BandN

(5)SandE

38.Whatwasth

elastyearinwhichEngineeringenrollment

exceededNaturalScienceenrollment?

(1)1990

(2)1991

(3)1992

(4)1993(5)1994

39.ByhowmuchdidEngineeringenrollmentdecreasebetween

1988and19

95?

(1)550

(2)750

(3)950

(4)980

(5)1,000

40.Whichmajo

rdoubleditsenrollmentbetween1992

and1993?

(1)SocialScience

(2)Engineering

(3)NaturalScience

(4)Business

(5)Notenou

ghinformationisgiven.

41.In1990,byapp

roximatelyhowmuchdidtotalenrollm

entin

EngineeringandNaturalScienceexceedtotalenrollm

entin

BusinessandSocialScience?

(1)400

(2)

600

(3)650

(4)700

(5)800

Questions4245refertothefollowingtable.

naJ

be

F

hcra

M

lirp

A

ya

M

enuJ

Ale

do

M

01

12

22

42

03

23

Ble

do

M

04

06

26

86

44

43

Cle

do

M

23

04

04

53

61

8

Dle

do

M

84

02

82

63

03

63

AjaxApplianceCorporation

DishwasherSales,2

001

(inthousands)

42.Inhowmanym

onthswasmodelBthebiggestseller?

(1)1

(2)2

(3)3

(4)4

(5)Notenough

informationisgiven.

43.HowmanymoremodelDsweresoldthanmodelAsforthe

totaloftherst

sixmonths?

(1)4

(2)

6

(3)12

(4)38

(5)59

44.WhatisthemedianmonthlysalesformodelA?

(1)10

(2)

21

(3)23

(4)23.17

(5)32

45.ModelsAandD

sellforthesamepricewhilemodelC

sells

forhalfthatprice.InFebruary,thesalesofwhichofthese

threemodelsbr

oughtinthegreatestrevenues?

(1)A

(2)C

(3)D

(4)Theyeachb

roughtinthesamerevenues.

(5)Notenough

informationisgiven.


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13/22

1



25.Thesumofthesquaresoftwoconsecutiveoddintegersis

290.Ifnrep

resentsthesmalleroddinteger,which

equation

couldbeuse

dtondthesmallerinteger?

(1)n

n

2

2

1

290

+

+

=

(

)

(2)n

n

2

2

3

290

+

+

=

(

)

(3)n

2

2

290

+=

(4)n

n

2

2

2

2

290

+

+

=

(

)

(5)n

n

2

2

2

290

+

+

=

(

)

26.Whichofthefollowingpairssatisestheequation

x

x

2

7

30

=

+

?

(1)5and6

(2)5and6

(3)3and

10

(4)10and

3

(5)5and6

27.Intheequation3

7

2x

x

=

,whatisapossiblevalue

ofx?

(1)

7 3

(2)

3 7

(3)

3 7

(4)1

(5)0

28.If6

96

2c

=

,whatdoescequal?

(1)6only

(2)4only

(3)0only

(4)4or4

(5)6or6

29.If6

60

2c

=

,whatisthepositivevalueofctothenearest

hundredth?

Usethegrid

onpage21foryouranswer.

30.Totheneare

sttenth,whatisthevalueof

3

6+

?

Usethegrid

onpage21foryouranswer.

31.Twentypeopleinafactorydividedupa45million

dollarlot-

teryprize.E

xpressinscienticnotationtheamoun

teachone

received.

(1)2.25106

(2)4.51

06

(3)2.251

05

(4)2.25107

(5)4.51

07

32.Expressinscienticnotationtheresultof0.0220.1

5.

(1)3.31

03

(2)3.31

04

(3)3.31

05

(4)3.3

3

(5)3.31

0

33.Whichsolution

setisrepresentedbythegraph?

0

5

4

3

2

1

1

2

3

4

5

(1)x

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