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Page 1 ST. CATHARINE’S SCHOOL FOR GIRLS, KWUN TONG FIRST TERM EXAMINATION (20122013) F.1 MATHEMATICS Name: Class: ( ) Time allowed: 1 hour 15 minutes Date: 4122012 1. This paper consists of Section A, B and C. 2. Answer ALL questions in this questionanswer paper. 3. Unless otherwise specified, all working must be clearly shown. 4. Unless otherwise specified, numerical answers should be exact. 5. The diagrams in this paper are not necessarily drawn to scale. 6. Use of calculators is NOT allowed. Section A Multiple Choice Questions (40 marks) Answer the questions in the boxes provided at the end of this section. 1. When two numbers are multiplied, the result is called the 2. On a certain day, Mary spent 1 2 of the time in sleeping and 1 6 of the time in studying. How many hours are left? 3. What are the numbers represented by R and S? A. 4 , 1 = - = S R B. 6 , 1 = - = S R C. 4 , 2 = - = S R D. 6 , 2 = - = S R 4. [ ] = + - - + - ) 8 ( ) 21 ( 12 ( A. –41 B. –1 C. +17 D. +25 5. Which of the following give(s) a positive result? I. ) 4 ( ) 3 ( - · - II. ) 5 ( ) 1 ( - - - III. ) 2 ( ) 12 ( - - + A. I only B. I and III only C. All of them D. None of them 6. b b 4 2 3 · ‚ can be simplified as A. 8 3 2 - . B. 8 5 1 . C. 2 6b . D. 2 8 3 b . A. sum. B. difference. C. product. D. quotient. A. 4 hours B. 8 hours C. 12 hours D. 16 hours Marks: 100 0 2 R S

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  • Page 1

    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 +

  • Page 3

    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.

  • Page 4

    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:

  • Page 5

    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:

  • Page 6

    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:

  • Page 7

    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:

  • Page 8

    8. (a) Solvetheequation28

    7241 xx

    = -

    - . (4marks)

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

    amountDickgetsandFloragets$100lessthan3timestheamountDickgets.How

    muchdoesTomget? (6marks)

    Solution:

  • Page 9

    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~


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