s1_1st_term_2012-13

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ST.CATHARINESSCHOOLFORGIRLS,KWUNTONG

FIRSTTERMEXAMINATION(20122013)F.1MATHEMATICS

Name:

Class: ( )

Timeallowed:1hour 15minutes Date:41220121. ThispaperconsistsofSection A,BandC.2. AnswerALLquestionsinthisquestionanswerpaper.3. Unlessotherwisespecified,allworkingmustbeclearlyshown.4. Unlessotherwisespecified,numericalanswersshouldbeexact.5. Thediagramsinthispaperarenotnecessarilydrawn toscale.6. UseofcalculatorsisNOTallowed.

SectionA MultipleChoiceQuestions(40marks)

Answerthequestionsintheboxesprovidedattheendofthissection.

1. Whentwonumbersaremultiplied,theresultiscalledthe

2. Onacertainday,Maryspent12

ofthetimeinsleepingand16

ofthetimeinstudying.

Howmanyhoursareleft?

3. WhatarethenumbersrepresentedbyRandS?

A. 4,1 = - = SRB. 6,1 = - = SRC. 4,2 = - = SRD. 6,2 = - = SR

4. [ ] = + - - + - )8()21(12(

A.41 B.1 C.+17 D.+25

5. Whichofthefollowinggive(s)apositiveresult?I. )4()3( - -II. )5()1( - - -

III.)2()12(

- - +

A.Ionly B.IandIIIonly C. Allofthem D.Noneofthem

6. bb 423 canbesimplifiedas

A.83

2 - . B.85

1 . C. 26b . D. 283b .

A.sum. B.difference. C. product. D.quotient.

A.4hours B.8hours C. 12hours D.16hours

Marks:

100

0 2

R S

Page 2

cmx

2

cmx )3( -

cm8

7. UseanalgebraicexpressiontorepresentDivideqby5andthenaddthequotienttothe

productof3andp.

A.5

3q

p + B.q

p5

3 + C. qp

53

+ D.53qp

+

8. Itisgiventhatxy

xyF

- =33

.When 2 =x and 6 - =y ,F =

A.59. B.

59

- . C.49. D.

49

- .

9. Solvetheliteralequation bc

bax =

-forx.

A.babbc

x - -

= B.bca

bx

- = C.

bac

bx -

+ = D.a

bbcx

+ =

10. Ifthegeneraltermofasequenceis )2( +nn ,findthesumofthe5thtermandthe10thtermof

thesequence.

A.15 B.35 C.120 D.155

11. Findthe6thtermofthesequence27,

45,63,81,

101

- ,

A.121

B.121

- C.41

D.41

-

12. Iftheareaofthefollowingtrapeziumis108cm2,findthelengthofitsupperbase.

A.6cm B.10cm C.18cm D.20cm

13. Arrangethenumbers74,57%and0.572indescendingorder.

A.0.572,57%,74

B.57%,74,0.572

C.0.572,74,57%

D.57%,0.572,74

14. Themembershipofasportsclubhaschangedfrom1500to1 125.Whatisthepercentage

changeinthemembershipoftheclub?

A.+25% B.1

33 %3

- C. -25% D. %31

33 +

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15. Refertothefigureontheright.Whatpercentageofthefigureisshaded?A.44%B.48%C.52%D.56%

16. Inatoyshop,acustomercangetafreetoycarifhebuys4toycars.Findthediscountpercent.

A.10% B.20% C.25% D.30%

17. ThemeasureofaroundangleisA.twicethemeasureofanacuteangle.B.fourtimesthemeasureofastraightangle.C.fourtimesthemeasureofanobtuseangle.D.twicethemeasureofastraightangle.

18. From2:30p.m.to9:30p.m.,whatanglehasthehourhandofaclockturned?A.180 B.210 C.240 D.270

19. WhichofthefollowingisthecrosssectionobtainedbycuttingthesolidalongABC?

A. B.

C. D.

20. Howmanyvertices,edgesandfacesdoesapentagonalprismhave?

No.ofvertices No.ofedges No.offacesA. 6 10 5B. 6 10 7C. 10 15 5D. 10 15 7

Answer

1. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 12. 13. 14. 15.

16. 17. 18. 19. 20.

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SectionB ShortQuestions(30marks)

1. Calculatethevalueofeachofthefollowing.

(a)139

71

531

7 - (3marks)

(b) 83)]17()25[()50( - - - - - - (3marks)

Solution:

2. Solvethefollowingequations.

(a) 11x+6x41 8x =5 (2marks)(b) [ ] 964)1(33 = + - aa (3marks)

Solution:

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3. Thecost$C ofateapartyisgivenby C=200+30(n10),wherenisthenumberofguests.

(a) Findthecostoftheteapartyifthereare25guests. (2marks)

(b) Findthenumberofguestsifthecostis$1160. (3marks)

Solution:

4. Forthesequence6,12,18,24,

(a) writedownthe5th andthe6th terms, (2marks)

(b) writedownthegeneralterm, (1mark)

(c) usetheresultin(b)tofindthe14th term. (1mark)

Solution:

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5. Mayisnowxyearsold.Rebeccasageis3 timesMaysage.

(a) Expressthefollowingsintermsof x,

(i) Maysage9yearslater, (1mark)

(ii) Rebeccasage9yearslater. (1mark)

(b) Nineyearslater,Rebeccasagewillbe2timesMaysage.FindMaysagenow.

(3marks)

Solution:

6. Tomearns$8000amonthandspends60%ofhissalaryonrent.

(a) Howmuchdoeshespendonrent? (2marks)

(b) Iftherentisincreasedby$600,whatpercentageofhissalaryisspentonrent?

(3marks)

Solution:

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SectionC LongQuestions(30 marks)

7. Thereare45multiplechoicequestionsinatest.Themarksaregivenaccordingtothe

followingguidelines:

4markswillbeawardedforeachcorrectanswer

2markswillbedeductedforeachwronganswer

1markwillbedeductedforeachunansweredquestion.

(a) Jasonattemptedthetestandanswered42questions.Hegot36 correctanswers.What

isJasonsscoreinthetest? (4marks)

(b) Mary attemptedthetestandansweredallthequestions.Shegot126marks.Findthe

numberofcorrectanswersthatshegot. (4marks)

(c) WhatpercentageofMarysansweriswrong? (2marks)

Solution:

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8. (a) Solvetheequation28

7241 xx

= -

- . (4marks)

(b) $1000issharedamongTom,DickandFlora.Tomgets$200morethantwicethe

amountDickgetsandFloragets$100lessthan3timestheamountDickgets.How

muchdoesTomget? (6marks)

Solution:

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9. Themarkedpriceof1dozenapplepiesis$180.Theshopoffersadiscountof20%after

8p.m.Charlottebuys1dozen applepiesat6p.m.and4dozen applepiesat9p.m.

(a) HowmuchdoesCharlottepayfortheapplepies? (2marks)

(b) Findtheoveralldiscountpercent. (3marks)

(c) Iftheshopmakesalossof10%,findthecostpriceofeachapplepie. (5marks)

Solution:

~EndofPaper~