6.Bydrawingadarklineinsidethecorrectnumberedboxesmarkyourfullindexnumber(I.Eschoolcodenumber

K.C.P.ETRIALII2010

MATHEMATICS

TIME:2HOURS

READTHESEINSTRUCTIONSCAREFULLY

1.Youhavebeengiventhisquestionbookletandaseparateanswersheet.Thequestionbookletcontains50questions

2.Doanynecesaryroughworkinthisbooklet

3.Whenyouhavechosenyouranswer,markitontheANSWERSHEET,notinthisquestionbooklet.

HOWTOUSETHEANSWERSHEET

4.Useanordinarypencil.

5.Makesurethatyouhavewrittenontheanswersheet:

YOURINDEXNUMBER

YOURNAME

NAMEOFYOURSCHOOL

6.BydrawingadarklineinsidethecorrectnumberedboxesmarkyourfullIndexNumber(i.eSchoolCodeNumber

andthethree-figureCandidate’sNumber)inthegridnearthetopoftheanswersheet.

7.Donotmakeanymarksoutsidetheboxes.

8.Keepthesheetascleanaspossibleanddonotfoldit.

9.Foreachofthequestions1-50fouranswersaregiven.TheanswersareletteredA,B,C,D.Ineachcaseonly

ONEofthefouranswersiscorrect.Choosethecorrectanswer.

10.Ontheanswersheetthecorrectansweristobeshownbydrawingadarklineinsidetheboxinwhichtheletter

youhavechoseniswritten.

Example

Inthequestionbooklet

16.Whatisthenextnumberinthesequence?

6.7,8.2,9.7,11.2,______

A.11.3B.12.7

C.1.27D.12.2

ThecorrectanswerisD

Ontheanswersheet:

6[A][B][C][D]16[A][B][C][D]26[A][B][C][D] 36[A][B][C][D] 46[A][B][C][D]

Inthesetofboxesnumbered16,theboxwiththeletterDprintedinitismarked.

11.YourdarklineMUSTbewithinthebox.

12.ForeachquestionsONLYONEboxistobemarkedineachsetoffourboxes.

ThisquestionPaperconsistsof6printedpages

TypesetPrintedby:ExcelPressTel.0700299431/020-2380536Nakuru

1.Write5505055inwords.

A.Fivemillion,fiftyfivethousandandfiftyfive

B.Fivemillion,fivehundredthousandandfive

thousandandfiftyfive

C.Fivemillion,fivehundredandfivethousand

andfiftyfive

D.Fivemillion,fivehundredandfiftythousand

andfiftyfive

2.WhatistheHighestCommonFactor(HCF)of

thenumber32,48and56?

A.8B.168

C.672D.86016

3.Whatisthenumber29.34046roundedofftothe

nearestthousandth?

A.29.3B.29.34

C.29.340D.29.341

4.Whatisthesmallestnumberthatcanbedivided

by12,18and27withoutaremainder?

A.108B.36

C.3D.5832

5.Whatisthevolumeofacylinderwhosediameter

is500cmandheight600cm?(Take=22/7and

giveyouranswerincubicmetres)

A.4713/7m3B.1334/7m3

C.1176/7m3D.942/7m3

6.Thetablebelowshowsthenumberof50kgbags

ofcementthatatradersoldintheyears2000to

2004.

Inwhichyearsdidthetraderhavetheleastincrease

8.InthefigurebelowABCisatriangle.PointXis

insidethetriangle.JoinAX,BXandCX.

WhatisthesizeoftheobtuseangleBXC?

A.540B.1140

C.1200D.1260

9.Mwangi’spieceoflandthatheplantskales

measures40mby30m.Hisneighbourhasputa

wallononeofthesidesthatis40m.Hedecidesto

fencethreeremainingsidesoftheplotusingfour

strandsofwire.Whatlengthofthewireis

needed?

A.4800mB.560m

C.400mD.100m

10.Whichofthefollowingstatementsistrueaboutall

quadrilaterals?

A.Oppositesidesareequal

B.Diagonalsbisectatrightangles

C.Sumofinterioranglesis3600

D.Anglesarerightangles

11.Whatisthevalueof

inthenumberofbagssold?

A.Years2003and2004

/3(2x+4y2)+5p-8

B.Years2002and2003

C.Years2001and2002

D.Years2000and2001

whenp=6,x=2pandy=1/2x-1?

A.130B.631/3

C.431/3D.362/3

7.KhalimaborrowedSh.20,000fromabankata

simpleinterestrateof5%permonth.Howmuch

didshepaybackaltogetherattheendofoneyear?

A.Sh.32,000

B.Sh.21,000

C.Sh.20,060

D.Sh.12,000

12.Belowisaspacefigure.Whichoneofthe

followingsolidscanbeformedfromthenet?

16.Atthechurchservice,1/5oftheattendantswere

boys,whileaquarterweregirls.2/5oftheremainder

weremenandtherestwerewomen.Whatfractionof

thetotalattendantswerewomen?

A.11/20B.11/50

17.Bilshansoldjuicefrom7thJanuaryto7thMarch

2009.Forhowmanydaysaltogetherdidhesell

thejuice?

A.58B.59

C.60D.61

18.Whatis1.5%expressedasaratioinitssimplest

form?

A.Rectangularprism

B.Triangularpyramind

C.Rectangularpyramind

D.Triangularprism

13.Adistanceof9.2kmonthegroundisrepresented

byalengthof4.6cmonamap.Whatisthescale

used?

A.1:200B.1:2000

C.1:20000D.1:200000

14.Whatisthevalueof

0.6-0.4x0.23-0.01

A.0.036B.0.044

C.0.498D.0.518

15.Inthegivenfigure,QRSandQTUarestraightlines.

Thefollowinglinesareequal;QR,RTandTU.

AngleRQT=250

A.3:2B.2:300

C.3:200D.200:3

19.Thefigurebelowrepresentsacurvealongaroad

thatis5mwide.Thediameteroftheoutersideof

theroadwhichislongeris30m.

5m5m

Whatistheperimeterofthesectionoftheroad?

(Takep=22/7)

A.78.50mB.88.50m

C.83.50mD.96.35m

20.Alawnisintheformofarectangleandtwosemi

circles.therectangleis22mlongand6mwide.The

widthsoftherectanglearealsothediametersof

thesemi-circles.Whatistheareaofthelawn

m2?(Takep=22/7)

A.2451/7B.1884/7

C.1602/7D.282/7

21.KiprotichandRopsold5debesofpotatoeseach.

ThetotalearningforRopwasKsh.15lessthan

thatofKiprotich.Theaveragesaleperdebefor

WhatisthemeasureofangleSRU?

A.1300B.750

C.800D.1050

KiprotichwasKsh.65.Whatwasthemeansale

perdebeforRop?

A.50B.65

C.68D.310

22.Whatisthevalueof4.2849

A.0.207B.2.07

C.2.7D.207

23.Theareaofthefigurebelowis120m2.Itsheight

is10m.

10m

A=120m2

Whatisthelengthofitshypotenuse?

A.24mB.26m

C.12mD.34m

24.Whichisthecorrectorderofwritingthefractions

27.InanelectioncandidatesQ,RandScontestedfor

aseat.ThenumberofthosewhovotedforRwas

800whichwasaquarterofthetotalvotes.Outof

theremaningvotesSreceived3%morethanQ.

HowmanymorevotesthanRdidthewinning

candidateget?

A.72B.364

C.436D.448

28.Whatisthevalueofyintheequation

2y-3+2y=6

A.11/8B.57/8

29.Thevolumeofanopenrectangulartankthathasa

squarebaseis24.3m3.Theheightofthetankis

270cm.Whatisthesurfaceareaofthetankinm2?

A.3.24B.4.14

C.5.04D.178.2

/4,7/9,4/5and9/11indescedingorder?

30.Whatisthenextnumberinthepattern

34799743

C.9/11,7/9,3/4,4/5D.9/11,4/5,7/9,3/4

25.Completetheconstructionofaparallelogram

XYZNwherelineXYisadiagonal.

WhatisthelengthoflineZN?

A.6.7cmB.6.7cm

C.3.8cmD.9.1cm

26.Arectangularwatertankwhosebasemeasures

1.2mby80cmcontainswatertoaheightof1.5m.

Howmuchwaterinlitresisinthetank?

A.14.4B.144

C.1440D.14400

1,3,7,15......

A.22B.23

C.25D.31

31.16workerscandigagardeninoneweekandfive

days.Howmanymoreworkersarerequiredsoas

todotheworkinoneweekandoneday?

A.40B.24

C.8D.10

32.Thetablebelowshowsthecommissioncharge

byabankforschoolfeesbanker’scheque.

ValueofbankersCommission

chequein(sh)

Upto-3000Sh.174

3001-5000Sh.209

5001-10000Sh.295

10001-20000Sh.441

20001-30000Sh.617

Aparentwantedtobuytwobankerschequesof

Sh.9400andSh.11800forhistwochildreninthe

sameschool..Hewasadviceditwouldbecheaper

tobuyonecommonchequeforthetwo.Howmuch

morewouldhehavespenthadboughttwo

separatecheques?

A.Sh.119B.Sh.146

C.Sh.736D.Sh.617

33.Thechargesforsendingatelegramwereasfollows

ThefirsttenwordsorlessSh.15

AnyadditionalwordsSh.1.50each

Abbreviationsandpunctuationmarksarecounted

aswords.

Whatwasthecostofsendingthefollowing

telegram?

MWALAMUTETIP.O.BOX117KANGUNDO

GOINGTOLODWARAFTERWEDDING

PAUL

A.Sh.25

B.Sh.24

C.28.80

D.Sh.29.00

34.ConstructtriangleABCwithAB=6.2cm,angle

ABC=600andangleCAB=400.Drawa

perpendicularfromCtomeetlineABatH.What

isthemeasureoflineAH?

A.5.4cmB.3.5cm

C.4.1cmD.2.1cm

35.Therectanglebelowhasdimensionsof30mby

20m.

38.Whatisthevalueof

21/8+1/4(13/8-7/8)

C.9/25D.111/25

39.Whichoneofthefollowingexpressionsisthe

simplestformof

4(tq+t)+2(3q-2tq)

2(t+q)+2q

A.2t+3qB.2tq+4t+3q

t+2tqt+3q

C.2tq+t+6qD.2t+3q

2t+3qt+3q

40.Kemboitook1/2hourstocyclefromhometothe

marketatanaveragespeedof5m/s.Afterstaying

atthemarketfor20minuteshecycledbackand

took25minutestoreachhome.Whatwasthe

averagespeedinm/sforthewholejourney?

A.55/11m/sB.4m/s

C.2m/sD.6m/s

41.Thefigurebelowrepresentaquarterofacircle.

20m

30m

Ifeachsideisincreasedby10%.Whatisthe

increaseinitsarea?

A.6m2B.126m2

C.600m2D.726m2

36.Acircularfieldwasfencedbytwoequalstrandsof

wirewhosetotallengthwasfourhundredandforty

metres.Whatwasthediameteroftheplot?

A.171/2mB.35m

7cm

C.70mD.140m

37.Kinywaboughtatrouserandashirtfromashop

whichalloweda10%discountonthemarkedprice

ofeachitem.HepaidatotalofSh.630.Ifhepaid

Sh.270forthetrouser,whatwasthemarkedprice

fortheshirt?

A.Sh.324B.Sh.360

C.Sh.396D.Sh.400

Whatistheareaoftheshadedpart?

A.24.5cm2B.14cm2

42.Mwemabought50kgofsaltwhichhepacked

inpacketsasfollows

Onequarterofthesaltin125gpackets

Onehalfofthesugarin250gpackets

Theremainderin500gpackets

Howmanypacketsaltogetherofsaltdidhe

get?

A.225B.100

C.125D.2250

43.December12thof1999wasaSunday.Whatday

oftheweekwas12thApril2000?

A.MondayB.Tuesday

C.WednesdayD.Thursday

44.Ashopkeeperhad135twohundredshillingnotes

whichshechangedasfollows;

Sh.21,000into1000shillingnotes

Sh.3000into500shillingsnote

Sh.2000into100shillingnotes

andtheremainingamountinto50shillingnotes.

Howmanynotesdidshegetaltogether?

A.67B.54

C.47D.20

45.Ochuodho,OtoyoandOmollosellfruits.Oneday

Omollosold20fruitsmorethanOtoyowhosold

10fruitsmorethanOchuodho.Thetotalnumber

offruitstheysoldthatdaywas140.IfOtoyo

soldXfruits,whichoneofthefollowing

equationscanbeusedtofindthenumberoffruits

soldbyOtoyo?

A.3x+10=140B.3x+30=140

C.3x+20=140D.x+30=140

46.JohnandPetersharedsomemoneysuchthat

Johngotthreequartersofthemoneysharedout.

WhatwastheratioofJohn’ssharetothatof

Peter?

A.4:3B.3:1

C.3:4D.1:3

47.AbusinessmanborrowedSh.50,000fromabank

thatchargedcompoundinterestattherateof25%

p.a.Howmuchshouldhepaythebankattheend

of2years?

A.78,125B.Sh.75,000

C.Sh.62,500D.Sh.28,125

48.Thefigurebelowrepresentsamatmadeupof

rectangleandsemicircles.

Whatistheareaofthefigure?(Takep=22/7)

A.1921/2cm2B.868cm2

C.2901/2cm2D.194cm2

14cm

7cm

49.Thehirepurchasepriceofawallunitwas25%

morethanthemarkedprice.Oyalaboughtthewall

unitonhirepurchaseterms.Hepaidadepositof

Sh.2000andeightmonthlyequalinstalmentsof

Sh.650.Whatwasthemarkedpriceofthewall

unit?

A.Sh.4160B.Sh.5400

C.Sh.5760D.Sh.9000

50.Acyclistrodefor2hoursatanaveragespeedof

twelvekilometresperhour.Herestedforhalfan

hourandcontinuedfor1houratanaveragespeed

of8km/hr.Whichoneofthefollowinggraphs

representsthecyclist’sjouney?