Mathematics Form 3 PMR

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  • 8/18/2019 Mathematics Form 3 PMR

    1/16

    SULIT

      ANGKA GILIRAN

      NO. KAD PENGENALAN

    PENILAIAN MENENGAH RENDAH 2009PEPERIKSAAN PERTENGAHAN TAHUN TINGKATAN 3

    mMATHEMATICS 50/2 mKertas2

    Ju

    14

    3 jam Satu !am em"at "u#u$ #%ma m%%t

    mm

    JANGAN &UKA KERTAS S'ALAN

    SEHINGGA DI&ERITAHU

    1. This question paper consists of 20 questions.

    2.  Answer a## questions.

    3.  Answers must be written clearly in the answer 

     space provided .

    4. Show your working .  It may help you to get marks.

    5.  If you wish to change your answer , neatlycross out the  answer . Then write down the

    new answer .

    6. The diagrams in the questions provided are

    not drawn to scale unless stated .

    7. The marks allocated for each question or 

     parts of a question are shown in brackets.

    8.  A list of formulae is provided on pages 2 and 3.

    9. Use of non-programmable scientific calculator is (t a##()e* for this paper .

     ________________________________________________________________________ 

    Kertas sa!a" #"# me"$a"%&"$# 16 'a!ama" (er)eta* 

    +L%$at se,e#a$

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    m

    MATHEMATICS AND SCIENCE TUT'RIAL

     Tutoria

     MAT  &S!I"#!" 

      0  

       

    T(ta#

    20

    -9

    -2

    -3

    -.

    -5

    --

    -1

    1

    9

    -0

    --

    2

    3

    .

    5

    -

     "$aminer  scode

     %or "$aminer  s Use

    &est#" &!!0ar*s

    0ar*sO(ta#"e%

    6

    2

    2

    3

    3

    2

    2

    3

    2

    3

    5

    2

    3

    2

    4

    5

    54

    4

    2

    2

  • 8/18/2019 Mathematics Form 3 PMR

    2/16

    SULIT 2 50/2

    m

    MATHEMATICAL 'RMULAE

    The following formulae may be helpful in answering the questions. The symbols given are

    commonly used .

    RELATI'NS

    1  nmnm

    aaa  +

    2   nmnm aaa   −=÷

    3   ( )   mnnm aa   =

    4 D#sta")e 2122

    12 99   y y $ $   −+−

    5 0#%/#"t

     $, y   

     

     

        ++2,2

    2121 y y $ $

    6 A:era$e s/ee%  ta*e"t#me

     tra:e!!e%%#sta")e

    7 0ea" %ata; "&m(er

    %ata; s&m

    8 P

  • 8/18/2019 Mathematics Form 3 PMR

    3/16

    SULIT 3 50/2

    m

    SHAPES AND SPACE

    1 Area ; re)ta"$!e !e"$t' = >#%t'

    2 Area ; tr#a"$!e 'e#$'t (ase2

    1××

    3 Area ; /ara!!e!$ram (ase = 'e#$'t

    4 Area ; tra/e?#&m 'e#$'ts#%es /ara!!e!; s&m2

    1××

    5 #r)&m;ere")e ; )#r)!e @d   2 @r 

    6 Area ; )#r)!e @r 2

    7 &r:e s&r;a)e area ; )

    11 !&me ; )

    1 @r 2h

    13 !&me ; s/e'er 3

    4 @r 3

    14 !&me ; r#$'t /

  • 8/18/2019 Mathematics Form 3 PMR

    4/16

    SULIT . 50/2

    m

    C6 marks

     Answer  a## questions.

    - a!)&!ate t'e :a!&e ; 43 86 6 = 12. C2 marks

    m

       Answer F

    2  a!)&!ate t'e :a!&e ; 5.44

    327   × 

     

      

     −−  a"% e/ress t'e a"s>er as a %e)#ma!.

    C2 marks

       Answer F

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  s

     use

    -

    2

    2

    2

  • 8/18/2019 Mathematics Form 3 PMR

    5/16

    SULIT 5 50/2

    m

    3 a #"% t'e :a!&e ; .53.

      b a!)&!ate t'e :a!&e ; .18

    12

    3   

      

     −

    C3 marks

       Answer F

      a

      b

    . !:e ea)' ; t'e ;!!>#"$ !#"ear eH&at#"sF

    a  $  3 12

    b 62

    35+=

    + $

     $

    C3 marks

     Answer F

      a

      b

    +L%$at se,e#a$

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm

     %or "$aminer  

     use

    3

    .

    3

    3

  • 8/18/2019 Mathematics Form 3 PMR

    6/16

    SULIT 50/2

    m

    5 D#a$ram 1 s'>s a /e"ta$" &'(ST  a"% (S  a $r#% ; eH&a! sH&ares.  (S  #s t'e #ma$e ; (S  &"%er a rtat#" ; 9 )!)*>#se a(&t /#"t ).

      O" D#a$ram 1 #" t'e a"s>er s/a)e, )m/!ete t'e #ma$e ; /e"ta$" &'(ST .C2 marks

       Answer F

     & 

    '

     (

     T 

     ( S B B

    )

    D#a$ram 1

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  s

     use

      .

    5

    2

  • 8/18/2019 Mathematics Form 3 PMR

    7/16

    SULIT 50/2

    m

      D#a$ram 2 s'>s t> /!

  • 8/18/2019 Mathematics Form 3 PMR

    8/16

    SULIT 1 50/2

    m

    1 #m/!#;< 3 $  12  7 $  4. C2 marks m Answer F

    9  a #"% t'e :a!&e ; .264 31

    ×

    b #m/!#;<( )

    .2

    1633

    5

    −k 

    C3 marks

     Answer F

      a

      b

    -0  #m/!#;< ( ) .84 54223   −− ÷   nmnm   C2 marksm

     Answer F

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm

     %or "$aminer  s

     use

    1

    2

    -0

    9

    2

    3

  • 8/18/2019 Mathematics Form 3 PMR

    9/16

    SULIT 9 50/2

    m

    --  a(!e 1 s'>s t'e :e'#)!es &se% (< 12 st&%e"ts ; 0K . 0ar< t $ t s)'!.

    T4"es ( 6e$%7#es Num,er ( stu*ets

    J#)s a" #")m/!ete /#e )'art.

      m/!ete t'e /#e )'art t re/rese"t a!! t'e #";rmat#" #" a(!e 1.

    C5 marks

     Answer F

    a

    b

    J&s

     9I

    D#a$ram 3

    +L%$at se,e#a$

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm

     %or "$aminer  

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    --

    5

  • 8/18/2019 Mathematics Form 3 PMR

    10/16

    SULIT -0 50/2

    m

    -2 a(!e 2 s'>s t'e res&!ts )"%&)te% (< a )m/&ter )m/a"< re$ar%#"$ t'e "&m(er ; )m/&ters >"e% (< 3 ;am#!#es.

    Num,er ( 7(m"uters 1 2 3 4

    Num,er ( am%#%es 3 1 6 6 5

    a(!e 2

      a tate t'e m%e.

    b #"% t'e mea" "&m(er ; )m/&ters >"e%.C3 marks

     Answer F

      a

      b

    -3  G#:e" t'at ( )( )212 333   $ $ =− , )a!)&!ate t'e :a!&e ; $. C2 marksm

       Answer F

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  s

     use

    -2

    3

    -3

    2

  • 8/18/2019 Mathematics Form 3 PMR

    11/16

    SULIT -- 50/2

    m

    -.  D#a$ram 4 )"s#sts ; t> tr#a"$!es, &'(, (ST  a"% a sH&are &'TU .

      & 

    ' (

    6 )m

    8 )m

    18 )m

    5 )m

    D#a$ram 4

    a!)&!ate t'e /er#meter, #" )m, ; t'e s'a%e% re$#". C4 marks

    m

     Answer F

    +L%$at se,e#a$

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  

     use

    -.

    4

  • 8/18/2019 Mathematics Form 3 PMR

    12/16

    SULIT -2 50/2

    m

    -5 D#a$ram 5 #" t'e a"s>er s/a)e s'>s t> sH&ares &'TU  a"% '(ST .  + , ,  a"%   are t'ree m:#"$ /#"ts #" %#a$ram.

      a +   #s a m:#"$ /#"t #" t'e %#a$ram s&)' t'at #t #s a!>a

      # t'e !)&s ;  ,  s&)' t'at #t #s eH%#sta"t ;rm ;rm t'e stra#$'t !#"es &'a"% &U ,

      ## t'e !)&s ;   s&)' t'at T   'T .

      c -e")e, mar* >#t' t'e s

  • 8/18/2019 Mathematics Form 3 PMR

    13/16

    SULIT -3 50/2

    m

    - Set squares and protractors are not allowed for this question.

      D#a$ram 6 s'>s tr#a"$!e ./M .

    D#a$ram 6

      a s#"$ "!< a r&!er a"% a /a#r ; )m/asses, )"str&)t tr#a"$!e  ./M  &s#"$ t'emeas&reme"ts $#:e", (e$#""#"$ ;rm t'e stra#$'t !#"e  .M   /r:#%e% #" t'e

    a"s>er s/a)e.

    b Jase% " t'e %#a$ram )"str&)te% #" -  a, meas&re t'e %#sta")e, #" )m,

     (et>ee" /#"t .  a"% /. C5 marks

       Answer F

      a

      . M 

    b  ./  . )m

    +L%$at se,e#a$

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  

     use

     . 

      /

      M 

     

    3

    2.5 )m

    -

    5

  • 8/18/2019 Mathematics Form 3 PMR

    14/16

    SULIT -. 50/2

    m

    - D#a$ram 7 s'>s t> tr#a"$!es &'T a"% '(S .

     & ' (

     $ )m

     y )m

    1 )m

    6 )m 12 )m

    8 )m

    D#a$ram 7

    #"% t'e :a!&e ; $  y. C4  marksm

     Answer F

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  s

     use

    -

    4

  • 8/18/2019 Mathematics Form 3 PMR

    15/16

    SULIT -5 50/2

    m

    -1  a(!e 1 s'>s t'ree a)t#:#t#es /art#)#/ate% (< a $r&/ ; 5 st&%e"ts.

    A7t%6%t%es Num,er ( stu*ets

    'ess 24

    -)*e<  y

    '#r 18

    a(!e 1

      a #"% t'e :a!&e ; y.

    b -e")e, re/rese"t a!! t'e %ata ;rm t'e ta(!e (< %ra>#"$ a (ar )'art #" t'e a"s>er 

    s/a)e.

    C4 marks

     Answer F

     N&m(er ; st&%e"ts

    A)t#:#t#es

    'ess -)*e< '#r  )

    4

    8

    12

    16

    2,

    24

    28

    +L%$at se,e#a$

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT

    mm

     %or "$aminer  

     use

    -1

    4

  • 8/18/2019 Mathematics Form 3 PMR

    16/16

    SULIT - 50/2

    m

    -9  #m/!#;< ( ) .492 2 q pqq p   −+−   C2 marksm

     Answer F

    20 #"% t'e :a!&e  .22   312

    22

    1

    nmnm−÷  

     

      

       C2 marks

    m Answer F

    END ' 8UESTI'N PAPER 

    50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm

     %or "$aminer  s

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    20

    -9

    2

    2