modul 1 markah

51
DA@XAB TAKFK@ IKXLIKXCM \^TZ IKZMKB ; HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G ; ; ;I Wzcxl c` `|ilzkf X|fct hkfki k`gmk : ;I 5< 438 - 7 2:< 9 4 ;I Da`ulzx 87 ;>>> c`xa hldcikf 1 X|mkzmk` 87 ;>>> ml~khk ~lz~|f|bk` 1 8 ;I Txkxl xbl `kil ae xbl ~afsga` jlfaw @skxkmk` `kik jl`x|m hc jkwkb . Ecexs xba|tk`h k`h xwl`xs) ea|z Fcik ~|f|b zcj| h|k ~|f|b li~kx

Upload: bengkel-pengajaran-maths-cikguwong

Post on 04-Apr-2018

234 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 1/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;

;

;I

Wzcxl c` `|ilzkfX|fct hkfki k`gmk 

:

;I

5< 438 - 7 2:< 9

4

;I

Da`ulzx87

;>>>

c`xa hldcikf 1

X|mkzmk` 87 

;>>> ml~khk ~lz~|f|bk` 1 

8

;I

Txkxl xbl `kil ae xbl ~afsga` jlfaw@skxkmk` `kik jl`x|m hc jkwkb .

Ecexs xba|tk`h k`h xwl`xs) ea|z

Fcik ~|f|b zcj| h|k ~|f|b li~kx

Page 2: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 2/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:

<.

;I

Hzkw xbl ba|zt k`h ic`|xlt bk`ht xa tbaw 8> ic`|xlt ~ktx 8 c` xbllul`c`g.F|mctmk` okz|i oki hk` ic`cx |`x|m il`|`o|mmk` 8> ic`cx tlfl~kt 8.>> ~.i .

5

;I

Txkxl c` wazh@skxkmk` hkfki ~lzmkxkk`.

7

;I

Da`ulzx ;47, c`xa hldcikf.X|mkzmk` ;47, ml~khk ~lz~|f|bk`.

2

;I

Za|`h aee :7 <2: xa xbl `lkzltx b|`hzlht 1J|`hkzmk` :7 <2: ml~khk zkx|t sk`g xlzhlmkx 1 

;:

3

5

4

;:

8<7

2

;>;;

5555.>7.>7.>7.>7

Page 3: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 3/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G4

3

;I

4:5 × ;2 9

;>

;I

Hckgzki ;> tbawt k uaf|il ae wkxlz c` k da`xkc`lz.Zkokb ;> il`|`o|mmk` ctc~kh| kcz hkfki tlj|kb jlmkt.

Txkxl xbl uaf|il & c` if & ae wkxlz c` xbl da`xkc`lz@skxkmk` ctc~kh|& hkfki & if& kcz hkfki jlmkt cx|.

;;

;I

Hckgzki ;; tbawt k `|ijlz dkzh.Zkokb ;; il`|`o|mmk` tlml~c`g mkh `aijaz .

Txkxl xbl hcgcx ukf|l eaz ‒7–@skxkmk` `cfkc hcgcx jkgc –7– 

;:

;I

Hckgzki ;4 tbawt k ~afsga`.Zkokb ;4 il`|`o|mmk` t|kx| jl`x|m.

Wbkx ct xbl `kil ae xbl ~afsga`1

@skxkmk` `kik jl`x|m hc kxkt.

<>> if

;>>> if

Hckgzki ;>! Zkokb ;>  

55557 <387 <387 <387 <38 Hckgzki ;; !Zkokb ;; 

Hckgzki ;4! Zkokb ;4  

Page 4: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 4/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G8

;4

;I

45 488 ÷ 7 9

;8

;I

Da`ulzx;4<

c`xa icrlh `|ijlz 1

X|mkzmk` ;4 < 

ml~khk `aijaz jlzdki~|z1 

;<.

;I

Hckgzki ;< tbawt k iktt ae k jar.Zkokb ;< il`|`o|mmk` jlzkx tlj|kb maxkm.

Wbkx ct xbl iktt& c` mg& xbl jar 1Jlzk~kmkb jlzkx& hkfki mg& maxkm cx|1 

;5

;I

Wzcxl xbl ukf|l c` wazht.X|fctmk` `cfkc hc jkwkb hkfki ~lzmkxkk`.

Hckgzki ;< Zkokb ;<  

48484848 3><3><3><3><

>

;

:4

8

<

mg

Page 5: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 5/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G<

;7

;I

7 4:3 × 2 9

;2

;I

Hckgzki ;2 tbawt xbl dczdfl bkh jll` d|x l{|kffs c`xa tlulzkf ~kzxt.Zkokb ;2 il`|`o|mmk` tlj|kb j|fkxk` sk`g hc~axa`g ml~khk jljlzk~k jkbkgck` sk`g tkik jltkz.

Txkxl xbl ezkdxca` ae xbl wbafl hckgzki ct tbkhlh@skxkmk` ~ldkbk` mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb.

;3

;I

Da`ulzx >.;7 c`xa ~lzdl`xkglt 1

X|mkzmk` >.;7 ml~khk ~lzkx|t1 

:>

;I

Hckgzki :> tbawt k d|jach.Zkokb :> il`|`o|mmk` tlj|kb m|jach .

Ec`h xbl `|ijlz ae t{|kzl ekdlt .Dkzcmk` jcfk`gk` ~lzi|mkk` jlzjl`x|m tlgcli~kx tkik.

Hckgzki ;2! Zkokb ;2  

< di

< di

5di

Hckgzki :> Zkokb : >

Page 6: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 6/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G5

:;

;I

:2 88< - 4 :<5 9

::

;I

Txkxl xbl hcgcx ukf|l ae 3 kx xbl `|ijlz jlfaw.@skxkmk` `cfkc hcgcx ‒3– ~khk `aijaz hc jkwkb.

:4

;I

Da`ulzx 5.>87 c`xa icrlh `|ijlz 1X|mkzmk` 5.>87 ml~khk `aijaz jlzdki~|z1 

:8

;I

Za|`h aee 8< 458 xa xbl `lkzltx xba|tk`ht.J|`hkzmk` 8< 458 ml~khk zcj| sk`g xlzhlmkx .

52 .;38

Page 7: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 7/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G7

:<.

;I

Hckgzki :< tbawt k da`xkc`lz .Hzkw xbl flulf ae wkxlz xa tbawt 8>> if ae wkxlz.Zkokb :< il`|`o|mmk` tlj|kb jlmkt.F|mctmk` kzkt kcz sk`g il`|`o|mmk` ctc~kh| jlmkt cx| 8>> if.

:5

;I

Za|`h aee 5 878 xa xbl `lkzltx b|`hzlh .

J|`hkzmk` 5 878 ml~khk zkx|t sk`g xlzhlmkx .

:7

;I

<: :48 ) 3 >57 9

:2

;I

Da`ulzx;3

;>>>c`xa hldcikf .

X|mkzmk` ;3 

;>>> ml~khk ~lz~|f|bk` .

<>> if

;>>> if

Hckgzki :<! Zkokb :<  

Page 8: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 8/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

:3

;I

Hckgzki :3 tbaZkokb :3 il`|` 

Txkxl xbl icrlh@skxkmk` hkfki 

4>.

;I

Hckgzki 4> tbaZkokb 4> il`|`o 

Wbkx ct xbl ikttJlzk~kmkb jlzkx&

4;

;I

Txkxl xbl ~fkdl u@skxkmk` `cfkc xl 

4:

;I

Da`ulzx 4;8

c`x

X|mkzmk` 4 ;8 

ml 

Hckg

M \^TZ 

AFLB DCMG\ WA@G

t k tlulzkf t{|kzl wcxb xbl tkil tcl.|mmk` jljlzk~k tlgcil~kx tkik sk`g 

|ijlz ae wbafl hckgzki ct tbkhlh.aijaz jlzdki~|z mkwktk` jlzfazlm.

t xbl iktt ae xbl dkzzaxt.|mmk` jlzkx jljlzk~k jcoc fajkm.

& c` g& xbl dkzzaxt1hkfki g& fajkm cx|1 

f|l ae ‒2– eaz ;2 5<8 1~kx jkgc k`gmk ‒2– ~khk ;2 5<8 1 

ci~za~lz ezkdxca`.

khk ~ldkbk` xkm wkokz.

ki :3 !Zkokb :3  

Hckgzki

2

kik jltkz.

4> Zkokb 4>  

Page 9: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 9/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G3

44

;I

<7 7;: ÷ 2 9

48

;I

Hckgzki 48 tbawt k` kzzaw ~cdx|zl.Zkokb 48 il`|`o|mmk` gkijkz k`km ~k`kb .

Txkxl xbl `|ijlz ae xbl fc`lt ae tsiilxzs ae xbl ~cdx|zl.@skxkmk` jcfk`gk` gkzct tcilxzc sk`g xlzhk~kx ~khk zkokb cx| 1 

4<.

;I

Da`ulzx 2, c`xa hldcikf.X|mkzmk` 2, ml~khk ~lz~|f|bk`.

Hckgzki48! Zkokb 48  

Page 10: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 10/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;>

45

;I

Txkxl xbl ~fkdl ukf|l ae 4 c` `|ijlz jlfaw.@skxkmk` `cfkc xli~kx jkgc k`gmk 4 ~khk `aijaz hc jkwkb.

47

;I

4>38 r 59

42

;I

Txkxl c` `|ilzkf@skxkmk` hkfki k`gmk.

43

;I

Da`ulzx;<7

c`xa icrlh `|ijlz.

X|mkzmk` ;< 7 

ml~khk ̀ aijaz jlzdki~|z .

8>

;I

Hckgzki 8> tbawt k z|flz.Zkokb 8> il`|`o|mmk` tljkxk`g ~lijkzct.

Hzkw k txzkcgbx fc`l xa tbaw 4.2 i ae txzc`g.

F|mctmk` gkzct f|z|t sk`g il`|`o|mmk` ~k`ok`g 4.2 i.

<<<<4 ;>74 ;>74 ;>74 ;>7

Ea|z ~ac`x lza lza `c`lLi~kx ~lz~|f|bk` tcekz tcekz tlijcfk` 

; : 4 8 < 5 7 2 3 ;>  i  ii  i 

Hckgzki 8> !Zkokb 8>  

Page 11: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 11/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;;

 

8;

;I

<.4 — ;.:7 9

8:

;I

Dbk`gl 8;, c`xa hldcikf1X|mkzmk` 8;, ml~khk ~lz~|f|bk` .

84

;I

<: 2:5 - : <;79

88

;I

Hckgzki 88 tbawt k ~cdx|zlt.Zkokb 88 il`|`o|mmk` tlj|kb gkijkz.

Ec`h xbl `|ijlz ae fc`l ae tsiilxzs eaz xbl ~cdx|zl.Dkzcmk` jcfk`gk` gkzctk` tcilxzc ~khk gkijkz cx|.

8<.

;I

Wzcxl 5.<> ki c` :8 ba|zt tstxliX|fctmk` 5.<> ki hkfki tstxli :8 oki 

Hck zki 88!  Zk kb 88 

Page 12: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 12/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;:

 

85

;I

Hckgzki 85 tbawt k `|ijlz dkzh.Zkokb 85 il`|`o|mmk` tlml~c`g mkh `aijaz .

Txkxl xbl hcgcx `|ijlz ae `|ijlz 8.@skxkmk` `cfkc hcgcx jkgc k`gmk ‒8–.

87

;I

Da`ulzx ;.4 c`xa ~lzdl`xkgl.X|mkzmk` ;.4 ml~khk ~lzkx|t.

82

;I

Txkxl 42.78< xa xbl `lkzltx b|`hzlhxb.@skxkmk` 42.78< ml~khk h|k xli~kx ~lz~|f|bk`.

83

;I

Txkxl xbl tci~fltx ezkdxca` eaz8;5

ct

^lzi|hkbmk` 8 

;5 ckfkb 

82 5>;

Hckgzki 85 Zkokb 85  

Page 13: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 13/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;4

 

<>.

;I

47: ÷ 4; 9

<;

;I

Hckgzki <; tbawt k `|ijlz fc`l.Zkokb <; il`|`o|mmk` tkx| gkzct `aijaz.

Ec`h a|x xbl ukf|l ae @ 1Dkzcmk` `cfkc @ 1 

<:

;I

Txkxl 4.;:8 xa xbl a`l hldcikf ~fkdl.@skxkmk` 4.;:8 ml~khk tkx| xli~kx ~lz~|f|bk`. 

<4

;I

Hckgzki <4 tbawt k tbk~l&Zkokb <4 il`|`o|mmk` tkx| jl`x|m.

Txkxl xbl `kil ae xbl tbk~l

@skxkmk` `kik jl`x|m cx|.

3>> @38>3:> Hckgzki <; !Zkokb <; 

Hckgzki <4!Zkokb <4  

Page 14: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 14/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;8

<8

;I

Da`ulzx 8;8

c`xa ci~za~lz ezkdxca`1

X|mkzmk` 8 ;8 

ml~khk ~ldkbk` xkm wkokz 1 

<<.

;I

Hckgzki << tbawt k z|flz.Zkokb << il`|`o|mmk` tljkxk`g ~lijkzct.

Hzkw k txzkcgbx fc`l xa tbaw xbl fl`gxb 5.7 di.F|mctmk` tkx| gkzctk` f|z|t sk`g il`|`o|mmk` ~k`ok`g 5.7 di.

<5

;I

Za|`h aee 4< 275 xa xbl `lkzltx b|`hzlh.

J|`hkzmk` 4< 275 ml~khk zkx|t sk`g xlzhlmkx .

<7

;I

Da`ulzx 54

;>>>c`xa hldcikf.

X|mkzmk` 5 4 

;>>> ml~khk ~lz~|f|bk`.

<2

;I

Hckgzki <2 da`tctx k tlulzkf t{|kzl wcxb xbl tkil tcl.Zkokb <2 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.

Txkxl xbl icrlh `|ijlz ae xbl wbafl hckgzki ct tbkhlh.@skxkmk` hkfki `aijaz jlzdki~|z mkwktk` jlzfazlm hkzc~khk tlf|z|b 

zkokb.

; : 4 8 < 5 7 2 3 ;>  d  i  d  i  d  i  d  i 

Hckgzki <<! Zkokb <<  

Hckgzki <2! Zkokb <2  

Page 15: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 15/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;<

<3

;I

Hckgzki <3 tbawt k da`l.Zkokb <3 il`|`o|mmk` tlj|kb ma`.

Txkxl xbl `|ijlz ae efkx ekdl ae xbl da`l.@skxkmk` jcfk`gk` ~lzi|mkk` zkxk ma` cx|.

5>

:I

Hckgzki 5> tbawt xbl xcilt Iz Dbk`g jkdm ezai xaw` kx `cgbx.Zkokb 5> il`|`o|mmk` iktk L` Dbk`g jkfcm hkzc~khk jk`hkz ~khk wkmx| ikfki .

Wzcxl xbl xcil c` :8 ba|zt tstxli.@skxkmk` iktk cx| hkfki tctxli :8 oki.

5;

;I

Za|`h aee 2< :2< xa xbl `lkzltx xba|tk`ht.

J|`hkzmk` 2< :2<ml~khk zcj| sk`g xlhlmkx .

5:

;I

8< :<8 — 8 5<3 9

54

;I

Da`ulzx ;.;: xa ~lzdl`xkgl1X|mkzmk` ;.;: ml~khk ~lzkx|t1 

Hckgzki <3!Zkokb <3  

;:

3

5

4

; :

8<7

2

;>;;

Hckgzki 5> !Zkokb 5>  

Page 16: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 16/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;5

58

;I

Hckgzki 58 da`tctxt xbl tlulzkf t{|kzlt wcxb xbl tkil tcl.Zkokb 58 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.

Wbkx ct xbl ezkdxca` ae xbl wbafl hckgzki ct tbkhlh1Jlzk~kmkb ~ldkbk` mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb1 

5<.

;I

Hckgzki 5< tbawt k fl`gxb ae k fc`l.Zkokb 5< il`|`o|mmk` ~k`ok`g gkzctk`.

Txkxl xbl fl`gxb & c` di & xbl fc`l.@skxkmk` ~k`ok`g& hkfki di& gkzctk` cx|.

55

;I

Txkxl xbl ~fkdl ae ukf|l ae > ae `|ijlz <; >43.@skxkmk` `cfkc xli~kx jkgc k`gmk > ~khk `aijaz <; >43 

57

;I

:; :83 - 4875 9

Hckgzki 58 !Zkokb 58  

; : 4 8 < 5 7 2 3 ;>  d  i  d  i  d  i  d  i 

Hckgzki 5< !Zkokb 5<  

Page 17: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 17/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;7

52

;I

Da`ulzx 3, c`xa hldcikf1X|mkzmk` 3, ml~khk ~lz~|f|bk` 

53

;I

Wzcxl c` wazh.X|fctmk` hkfki ~lzmkxkk` .

7>

;I

Hckgzki 7> tbawt xbl iktt ae k` azk`glt.Zkokb 7> il`|`o|mmk` jlzkx tljcoc azl`&

Wbkx ct xbl iktt& c` g& xbl azk`glt1Jlzk~kmkb jlzkx& hkfki g& azl` cx|1 

8.>>58.>>58.>>58.>>5

Hckgzki 7> !Zkokb 7>  

>

:<>7<>

;

mg

g

<>>

Page 18: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 18/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;2

7;

;I

Hckgzki 7; tbawt ecul `|ijlz dkzht.Zkokb 7; il`|`o|mmk` fcik mkh `aijaz.

Da`txz|dx xbl jcggltx < hcgcx ukf|l ezai xbl dkzht.Jc`kmk` `aijaz xlzjltkz < hcgcx hkzc~khk mkh)mkh cx|.

7:

;I

Hckgzki 7: tbawt k `|ijlz fc`l.Zkokb 7: il`|`o|mmk` tkx| gkzct `aijaz.

Ec`h xbl ukf|l ae M 1@cfkc M ckfkb 

74

;I

Da`ulzx 2.>4 xa xbl icrlh `|ijlz.X|mkzmk` 2.>4 ml~khk `aijaz jlzdki~|z.

78

;I

<8 ;52 × 8 9

<<<< >>>> :::: 7777 >>>>

Hckgzki 7; !Zkokb7; 

<

2  M ;

Hckgzki 7: !Zkokb 7:  

Page 19: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 19/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;3

7<

;I

Hckgzki 7< tbawt k` li~xs tdkfl.Zkokb 7< il`|`o|mmk` tkx| hkdc`g xk`~k okz|i.

Hzkw k ~ac`xlz xa tbaw xbl iktt ae d|jach ct 2<> g .F|mctmk` okz|i sk`g il`|`o|mmk` jlzkx m|jach cx| ckfkb 2<>g.

75

;I

Wzcxl xbl `|ijlz c` `|ilzkfX|fct `aijaz hc jkwkb hkfki k`gmk.

77

;I

Da`ulzx ;<, c`xa hldcikfX|mkzmk` ;<, ml~khk ~lz~|f|bk`.

72

;I

Hckgzki 72 tbawt k `|ijlz fc`l.Zkokb 72 il`|`o|mmk` tkx| gkzct `aijaz.

Wbkx ct xbl ukf|l ae M .@cfkc M 9 

>

:<>7<>

;

mg

g

<>>

Hckgzki 7<! Zkokb 7<  

Eazxs xba|tk`h k`h xl`Eazxs xba|tk`h k`h xl`Eazxs xba|tk`h k`h xl`Eazxs xba|tk`h k`h xl`Li~kx ~|f|b zcj| tl~|f|b Li~kx ~|f|b zcj| tl~|f|b Li~kx ~|f|b zcj| tl~|f|b Li~kx ~|f|b zcj| tl~|f|b 

>.:8 >.45 M>.:2 >.4:

Hckgzki 72 !Zkokb 72  

Page 20: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 20/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:>

>

;

:4

8

<

mg

73

;I

5< 827 - 3 275 9

2>.

;I

Hckgzki 2> tbaw xbl iktt ae xbl wkxlzilfa`.Zkokb 2> il`|`o|mmk` jlzkx tljcoc xlijcmkc. 

Wbkx ct xbl iktt& c` mg& xbl wkxlzilfa`1K~kmkb jlzkx& hkfki mg& xlijcmkc cx|1  

2;

;I

Hckgzki 2; tbawt k `|ijlz dkzh.Zkokb 2; il`|`o|mmk` k mkh `aijaz.

Da`xz|dx k`s `|ijlz ea|z hcgcx wcxb 2 zl~zltl`x ukf|l ae b|`hzlhJc`kmk` tljkzk`g `aijaz 8 hcgcx hl`gk` 2 ilwkmcfc `cfkc zkx|t.

2:

;I

Da`ulzx <7, c`xa hldcikf.X|mkzmk` <7, ml~khk ~lz~|f|bk` .

Hckgzki 2>! Zkokb 2>  

5555 8888 >>>> 2222

Hckgzki 2; Zkokb 2; 

Page 21: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 21/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:;

24

;I

Wzcxl c` `|ilzkfX|fctmk` hkfki k`gmk.

28

;I

Hckgzki 28 da`tctx xbl tlulzkf t{|kzlt wcxb xbl tkil tcl.Zkokb 28 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.

Wbkx ct xbl ezkdxca` ae wbafl hckgzki ct tbkhlh.Jlzk~kmkb ~ldkbk` mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb.

2<.

;I

Hckgzki 2< tbawt xbl iktt ae xbl jaam wcxba|x ~ac`xlz.

Zkokb 2< il`|`o|mmk` jlzkx j|m| xk`~k okz|i ~khk ~l`cijk`g.

Hzkw k ~ac`xlz xa tbawt xbl iktt ae xbl jaam ct 4.7 mg.F|mctmk` okz|i |`x|m il`|`o|mmk` jlzkx j|m| cx| ckfkb 4.7 mg .

25

;I

Hckgzki 25 tbawt k ea|z `|ijlz dkzht.Zkokb 25 il`|`o|mmk` li~kx ml~c`g mkh `aijaz.

Kzzk`gl xbl dkzht kddazhc`g ktdl`hc`g azhz.T|t|`mk` il`gcm|x x|z|xk` il`kcm.

Ea|z ~ac`x lza a`l ecul

 Li~kx ~lz~|f|bk` tcekz tkx| fcik

Hckgzki 28 !Zkokb 28  

>

;

:4

8

<

mgHckgzki 2< Zkokb 2<  

: 22< : 2>< : 32< : 2<<

Hckgzki 25 !Zkokb 25  

Page 22: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 22/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G::

27

;I

Da`ulzx;>>>

;7< c`xa hldcikf .

X|mkzmk` ;>>>

;7< ml~khk ~lz~|f|bk`.

22

;I

Txkxl c` `|ilzkf@skxkmk` hkfki k`gmk.

23

;I

Hckgzki 23 da`tctxt k tlulzkf t{|kzl wcxb xbl tkil tcl.Zkokb 23 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.

Txkxl xbl icrlh `|ijlz ae xbl wbafl `|ijlz ct tbkhlh@skxkmk` hkfki `aijaz jlzdki~|z mkwktk` jlzfazlm .

3>

;I

Hckgzki 3> tbawt k hcgcxkf dfadm.Zkokb 3> il`|`o|mmk` tkx| oki hcgcxkf.

Da`ulzx xbl xcil c`xa ;: ba|zt tstxlitX|mkzmk` wkmx| xlztlj|x ml~khk tctxli ;: oki..

Xwa ecexb H|k ~lz fcik

Hckgzki23 ! Zkokb23  

:>:>:>:> ? <>? <>? <>? <> Hckgzki 3> ! Zkokb 3>  

Page 23: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 23/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:4

 3;

;I

Hckgzki 3; tbawt k `|ijlz dkzh.Zkokb 3; il`|`o|mmk` tlml~c`g mkh `aijaz.

Wzcxl xbl `|ijlz c` `|ilzkf.X|fctmk` hkfki k`gmk .

3:

;I

Da`ulzx 4.; c`xa icrlh `|ijlz.X|mkzmk` 4.; ml~khk `aijaz jlzdki~|z.

34

;I

Txkxl 4.8<5 xa xbl `lkzltx xl`xb.@skxkmk` 4.8<5 ml~khk ; xli~kx ~lz~|f|bk`.

38

;I

Hckgzki 38 tbawt k `|ijlz dkzh.Zkokb 38 il`|`o|mk` tkx| mkh `aijaz.

Wzcxl c` `|ijlz c` wazh.X|fctmk` hkfki ~lzmkxkk` k`gmk cx| .

3<.

;I

7: 5<> ) 8 348 9

Hckgzki 3; ! Zkokb 3; 

Xbzll b|`hzlh xba|tk`h k`h a`l

Xcgk zkx|t zcj| tkx| 

4.>>74.>>74.>>74.>>7

Hckgzki 38 ! Zkokb 38  

Page 24: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 24/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:8

35

;I

Hckgzki 35 tbaw k dfadm.Zkokb 35 il`|`o|mmk` oki xk`~k okz|i 

Hzkw xbl bk`ht k`h ic`|xlt ba|zt xa tbawt ;> ic`|xlt xa 5 c̀ lul`c`g.F|mctmk` okz|i oki hk` ic`cx |`x|m il`|`o|mmk` ;> ic`cx tljlf|i oki 5.>> ~lxk`g.

37

;I

Txkxl xbl lrxl`hlh `axkxca` ae 4> <>7 .@skxkmk` dlzkmc`k` jkgc 4> <>7.

32

;I

Da`ulzx;44

c`xa icrlh `|ijlz.

X|mkzmk` ;4 

ml~khk `aijaz jlzdki~|z.

33

;I

Da`ulzx 27, c`xa hldcikf.X|mkzmk` 27, ml~khk ~lz~|f|bk`.

;>>

;I

Tci~fltx xbl ezkdxca` ae<;<

ct

^lzi|hkbmk` jkgc < ;< 

ckfkb 

;:

3

5

4

;:

8<7

2

;>;;

Hckgzki 35 ! Zkokb 35  

Page 25: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 25/51

Page 26: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 26/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:5

;>8

;I

Wzcxl xbl ~fkdl ukf|l ae xbl hcgcx 5 c` <5 34<@skxkmk` `cfkc xli~kx jkgc hcgcx 5 hkfki <5 34< 

;><

;I

Hckgzki ;>< da`tctxt ae tlulzkf zldxk`gfl ae l{|kf tcl.Zkokb ;>< xlzhczc hkzc~khk jljlzk~k tlgc li~kx xl~kx sk`g tkik tkc.

Hckgzki ;><

Zkokb ;>< 

Tbkhl4

;ae xbl wbafl hckgzki 1

Fazlm 4

;hkzc~khk tlf|z|b zkokb1 

;>5

;I

Da`ulzx 8.>; xa k icrlh `|ijlz.

X|mkzmk` 8.>; ml~khk `aijaz jlzdki~|z.

;>7

;I

Hckgzki ;>7 tbaw k zldxk`gfl hcuchlh c`xa tlulzkf l{|kf ~kzxt.Zkokb ;>7 il`|`o|mmk` tlj|kb tlgcli~kx xl~kx sk`g hcjkbkgcmk` ml~khk jljlzk~k jkbkgck` sk`g tkik jltkz.

Hckgzki ;>7Zkokb ;>7 

Wzcxl c` wazht xbl ezkdxca` wbcdb zl~zltl`xt xbl dafa|zlh zlgca` ae xblwbafl hckgzki.X|fctmk` hkfki ~lzmkxkk` ~ldkbk` sk`g ilwkmcfc mkwktk` jlzwkz`k 

hkzc~khk tlf|z|b zkokb cx|.

Page 27: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 27/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:7

;>2

;I

Za|`h aee 4.;:< xa xbl `lkzltx b|`hzlhxbt.J|`hkzmk` 4.;:< ml~khk ~lztlzkx|t sk`g xlzhlmkx.

;>3

;I

Hckgzki ;>3 tbawt k dsfc`hlzZkokb ;>3 il|`o|mmk` tlj|kb tcfc`hlz 

Txkxl xbl `|ijlz ae efkx ekdlt1@skxkmk` jcfk`gk` ~lzi|mkk` zkxk1 

;;>

;I

4> 8<; —;<3 9

;;;

;I

Xkjfl ;;; tbawt xbl dbkzkdxlzctxcdt ae k xbzll hcil`tca`kf tbk~l.Okh|kf ;;; il`|`o|mmk` dczzc)dczc tlj|kb jl`x|m xcgk ikxzk .

Xkjfl ;;;!  okh|kf ;;;

@kil xbl xbzll)hcil`xca`kf tbk~l@kikmk` jl`x|m xcgk ikxzk cx|.

@|ijlz ae lhglJcfk`gk` xl~c  >

@|ijlz ae ulzxlrJcfk`gk` j|d|  >

@|ijlz ae d|zul ekdlJcfk`gk` ~lzi|mkk` ilfl`gm|`g 

;

Page 28: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 28/51

Page 29: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 29/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:3

;;7

;I

Hckgzki ;;7 da`tctxt ae tlulzkf xzck`gflt ae l{|kf tcl.

Zkokb ;;7 xlzhczc hkzc~khk jljlzk~k tlgc xcgk sk`g tkik jltkz.

Hckgzki ;;7Zkokb ;;7 

Wbkx ezkdxca` ae xbl wbafl hckgzki ct tbkhlh1

Jlzk~kmkb ~ldkbk` hkzc~khk tlf|z|b zkokb cx| hcfazlmmk` 1

;;2

;I

Hckgzki ;;2 tbawt xbl uaf|il ae wkxlz c` k jlkmlz.

Zkokb ;;2 il`|`o|mmk` ctc ~kh| kcz hkfki tlj|kb jcmkz.

Hckgzki ;;2Zkokb ;;2

Wbkx ct xbl uaf|il ae wkxlz& c` i℔ & c` xbl jlkmlz1

Jlzk~kmkb ctc ~kh| kcz & hkfki i℔ & hkfki jcmkz xlztlj|x 1

;;3

;I

Wzcxl ZI <>>.8> c` wazht.

X|fct ZI <>>.8> hkfki ~lzmkxkk`.

;:>

;I 

Txkxl xbl `|ijlz ae lhglt ae k dsfc`hlz.

@skxkmk` jcfk`gk` xl~c jkgc tlj|kb tcfc`hlz.

; >>> i℔  

Page 30: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 30/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G4>

;:;

;I

Da`ulzx 4 .>3 xa k icrlh `|ijlz.X|mkzmk` 4.>3 ml~khk `aijaz jlzdki~|z 

;::

;I

9327

8 r  

;:4

;I

9√

3

4

3

<:  

;:8

;I

>.7<5 ÷ 7 9

;:<

;I

Da`ulzx;>>>

:3 xa k hldcikf.

X|mkzmk` ;>>>

:3 ml~khk ~lz~|f|bk` 

Page 31: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 31/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;:5

;I

5.>3 - ;:.5 9

;:7

;I

Hckgzki ;:7 tbZkokb ;:7 il`| 

Wzcxl xbl xcil c` x@skxkmk` wkmx| 

;:2

;I

Hckgzki ;:2 tbaZkokb ;:2 il`| 

Txkxl xbl `|ijlz@skxkmk` jcfk`gk 

M \^TZ 

AFLB DCMG\ WA@G

w Kwk`–t hc``lz xcil. o|mmk` iktk ikmk` ikfki jkgc Kik` 

 Hckgzki ;:7Zkokb ;:7 

bl :8)ba|z tstxlikfki tstxli :8 oki 

t k t{|kzl. o|mmk` tlj|kb tlgc li~kx tkik.

Hckgzki ;:2Zkokb ;:2 

ae fc`lt ae tsiilxzs ae xbl t{|kzl` gkzct tcilxzc jkgc tlgc li~kx tkik 

4;

.

Page 32: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 32/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;:3

:8;:

<9

 

Wbkx `|ijlz i|K~kmkb ̀ aijaz 

;4>

;I

Hckgzki ;4> tbaZkokb ;4> il`| 

HckgzkiZkokb 

Txkxl xbl `|ijlz@skxkmk` jcfk`gk 

;4;

;I

2: >>> — : 8>5 9

;4:

;I

Txkxl xbl hcgcx ukf@skxkmk` `cfkc hc 

M \^TZ 

AFLB DCMG\ WA@G

tx jl wzcxxl` c` xbl jar1k`g ~lzf| hcx|fct hkfki maxkm1 

t k d|jach. o|mmk` tlj|kb m|jach 

;4>4> 

ae ulzxcdlt` j|d| 

|l ae 8 c` xbl `|ijlz 78 <4>cx jkgc 8 hkfki `aijaz 78 <4> 

4:

Page 33: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 33/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G44

;44

;I

Txkxl >.;7 kt k ezkdxca`.@skxkmk` >.;7 ml~khk `aijaz ~ldkbk` 

;48

;I

;3.8 — 4.:7 9

;4<

;I

Hckgzki ;4< tbawt xbl uaf|il ae wkxlz c` k jlkmlz.Zkokb ;4< il`|`o|mmk` ctc~kh| kcz hkfki tlj|kb jcmkz 

Wbkx ct xbl uaf|il& c` i & ae xbl wkxlz 1Jlzk~kmkb ctc~kh| & hkfki i & kcz cx|1 

Hckgzki ;4<!  Zkokb ;4<

Page 34: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 34/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G48

;45

;I

Hckgzki ;45 tbawt k `|ijlz dkzh.

Zkokb ;45 il`|`o|mmk` tkx| mkh ̀ aijaz.

Da`txz|dx k`s `|ijlz 8 hcgcx wcxb 2 zl~zltl`x ukf|l ae b|`hzlhJc`k tlikzk`g `aijaz 8 hcgcx hl`gk` 2 ilwkmcfc `cfkc zkx|t.

;47

;I

Da`ulzx <3, c`xa hldcikf.X|mkzmk` <3, ml~khk ~lz~|f|bk` . 

;42

;I

Wzcxl c` `|ilzkf.X|fctmk` hkfki k`gmk.

;43

;I

Za|`h aee :3 32: xa xbl `lkzltx xba|tk`h.J|`hkzmk` :3 32: ml~khk zcj| sk`g xlzhlmkx.

3333 <<<< >>>> 2222

Hckgzki ;45

 Zkokb ;45  

Ea|z ~ac`x lza xwa ecul

 Li~kx ~lz~|f|bk` tcekz h|k fcik

Page 35: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 35/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;8>

;I

Wzcxl 48.<5: c` wX|fctmk` 48.<5: 

;8;

;I

Hckgzki ;8; tbaZkokb  ;8; il` ml~khk jljlzk~k 

Wzcxl c` wazht xbwbafl hckgzki.X|fct hkfki ~l hkzc~khk tlf|z|b 

;8:

;I

Hckgzki ;8:tbaZkokb ;8:il`|`o 

Wbkx ct xbl wlcgb

Jlzk~kmkb jlzkx&

M \^TZ 

AFLB DCMG\ WA@G

azhtkfki ~lzmkxkk`.

t k zldxk`gfl hcuchlh c`xa tlulzkf l{|kf`o|mmk` tlj|kb tlgc li~kx xl~kx sk` jkbkgck` sk`g tkik jltkz.

Hckgzki ;8;Zkokb ;8;

l ezkdxca` wbcdb zl~zltl`xt xbl tbkhlh

mkxkk` ~ldkbk` sk`g ilwkmcfc mkw zkokb cx|.

t xbl wlcgbx ae k dli~lhkm.mmk` jlzkx tljcoc dli~lhkm.

x& c` mg& ae xbl dli~lhkm1

hkfki mg& dli~lhkm xlztlj|x1 

Hckgzki ;8:

Zkokb ;8:

4<

~kzxt.hcjkbkgcmk` 

zlgca` ae xbl

tk` jlzfazlm 

Page 36: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 36/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G45

;84

;I

Wzcxl >.>5 icffca` c` wbafl `|ijlz.X|fct >.>5 o|xk hkfki `aijaz j|fkx.

;88

;I

Da`ulzx ;.>7 xa k icrlh `|ijlz.X|mkzmk` ;.>7 ml~khk `aijaz jlzdki~|z. 

;8<

;I

Txkxl xbl hcgcx ukf|l ae 8 c` xbl `|ijlz 58 <4>@skxkmk` `cfkc hcgcx jkgc 8 hkfki `aijaz 58 <4> 

;85

;I

<: >>> — 8 8>5 9

;87

;I

Txkxl >.:7 kt k ezkdxca`.@skxkmk` >.:7 ml~khk `aijaz ~ldkbk` 

Page 37: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 37/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G47

;82

;I

;2.8 — <.:7 9

;83

;I

Wzcxl ‖xbzll k`h ecul tcrxb’ c` `|ilzkft.X|fctmk` ‖ xcgk fcik ~lz l`ki’ hkfki k`gmk 

;<>

;I

< >;2 — 53< 9

;<;

;I

Taful 235 ÷ 2 9 Tlfltkcmk` 235 ÷ 2 9 

Page 38: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 38/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G42

;<:

;I

Wzcxl ‖ eazxs)ecul xba|tk`h xbzll b|`hzlh lcgbx zc`ggcx k`h ecexs tl`’ c``|ilzkft.X|fctmk` ‖ li~kx ~|f|b fcik zcj| xcgk zkx|t fk~k` zc`ggcx hk` fcik ~|f|b tl`’ hkfki `aijaz.

;<4

;I

Da`ulzx >.>< xa k ~lzdl`xkgl.X|mkzmk` >.>< ml~khk ~lzkx|t 

;<8

;I

Hckgzki ;<8 tbawt k dfadm ekdl.Zkokb ;<8 il`|`o|mmk` tkx| i|mk oki.

Hckgzki ;<8 ! Zkokb ;<8 

Wzcxl xbl xcil c` xbl ;: —ba|z tstxli.X|fctmk` wkmx| xlztlj|x hkfki tctxli ;: oki 

;<<

;I

<>> r ;> 9

;<5

;I

Lr~zltt;>

;kt k ~lzdl`xkgl.

@skxkmk` ;>

;tljkgkc ~lzkx|t.

:;?<>

Page 39: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 39/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;<7

;I

Hckgzki ;<7 tbaZkokb ;<7 il`| 

Wbkx ct bct blcgbJlzk~kmkb xc`ggc 

;<2

;I

4 f :> if 9 QQQQQ 

;<3

;I

Hckgzki ;<3 tbaZkokb ;<3 il`|  

Wbkx ct xbl uaf|Jlzk~kmkb ctc~k 

;5>

;I

:.2 mg - >.37 m

M \^TZ 

AFLB DCMG\ WA@G

t Kfc–t blcgbx a` k ilkt|zc`g tdkfl. o|mmk` xc`ggc Kfc ~khk t|kx| kfkx ~l`g| 

 

Hckgzki ;<7Zkokb ;<7  

& c` di1Kfc& hkfki di1 

 Q  QQQ if  

t k jlkmlz ecfflh wcxb wkxlz. o|mmk` tlj|kb jcmkz sk`g hcctc hl`gk` k 

Hckgzki ;<3Zkokb ;<3 

l ae xbl wkxlz c` fcxzlt1| kcz hkfki fcxlz1 

g 9

43

m|z.

cz.

Page 40: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 40/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G8>

 

;5;

;I

Hckgzki ;5; tbawt k `|ijlz fc`l.Zkokb ;5; il`|`o|mmk` tkx| gkzct `aijaz.

7

8M ;

Hckgzki ;5;! Zkokb ;5;

Txkxl xbl ukf|l ae M@skxkmk` `cfkc jkgc M 

;5:

;I

74 >:< — 548 9

;54

;I

Lr~zltt<

2kt k icrlh `|ijlzt.

X|mkzmk` <

2ml~khk ̀ aijaz jlzdki~|z. 

Page 41: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 41/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;58

;I

Hckgzki ;58 tbaZkokb ;58 il`| 

Wbkx ct xbl wlcgbJlzk~kmkb jlzkx 

;5<

;I

Txkxl xbl ~fkdl u

@skxkmk` `cfkc xl 

;55

;I

Da`ulzx;>>>

85xa k

X|mkzmk` ;>>>

85m 

M \^TZ 

AFLB DCMG\ WA@G

xbl wlcgbx ae k ~kdmlx ae zcdl. o|mmk` jlzkx tl~lmlx jlzkt. 

Hckgzki ;58Zkokb ;58 

x c` g ae k ~kdmlx ae zcdl1 h kfki g tl~lmlx jlzkt cx|1 

f|l ae xbl `|ilzkf 2 c` 32 >75.

~kx jkgc k`gmk 2 hkfki 32 >75.

hldcikf .

~khk ~lz~|f|bk`.

8;

 

Page 42: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 42/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;57

;I

Hckgzki ;57 tba

Zkokb ;57 il`| 

Txkxl xbl fl`gxb& c

@skxkmk` ~k`ok` 

;52

;I

;2 8>> — 8 4<4

;53

;I

Ec`h xbl ~zah|dxMczk bktcf hkzkj 

;7>

;I

Da`ulzx 87

;>>> 

X|mkzmk` 8 7 

;>>>  

M \^TZ 

AFLB DCMG\ WA@G

t xbl fl`gxb ae k ~l`dcf.

 o|mmk` ~k`ok`g tljkxk`g ~l`tlf.

` di& ae xbl ~l`dcf.

g& hkfki di& ~l`tlf cx|.

9

e 7>> k`h ;>>kgc 7>> hk` ;>>. 

c`xa hldcikf .

ml~khk ~lz~|f|bk` 

Hckgzki ;57

 Zkokb ;57 

8:

 

Page 43: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 43/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G84

;7;

;I

Txkxl c` `|ilzkf@skxkmk` hkfki k`gmk.

;7:

;I

Hckgzki ;7: tbawt t{|kzlt ae l{|kf tcl.

Zkokb ;7: il`|`o|mmk` tlgc li~kx tkik sk`g tkik jltkz.

Hckgzki ;7:

Zkokb ;7: 

Wzcxl c` ezkdxca` wbcdb zl~zltl`xt xbl tbkhlh zlgca`

ae xbl wbafl hckgzkiX|fct hkfki ~ldkbk` sk`g ilwkmcfc mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb cx| 

;74

;I

Hckgzki ;74 tbawt _kc–t jlh xcil.

Zkokb ;74 il`|`o|mmk` wkmx| xch|z _kc.

Hckgzki ;74Zkokb;7 4 

Wzcxl xbl xcil c` xbl :8)ba|z tstxliX|fct wkmx| cx| hkfki tctxli :8 oki 

Xwa ~ac`x ea|z tcr `c`l

H|k ~lz~|f|bk` li~kx l`ki tlijcfk`

Page 44: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 44/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G88

;78

;I

Txkxl xbl hcgcx ukf|l ae < c` xbl `|ijlz <4 >;>@skxkmk` `cfkc hcgcx jkgc < hkfki `aijaz <4 >;>.

;7< .Hckgzki ;7< tbawt k ~szkichZkokb ;7< il`|`o|mmk` tlj|kb ~czkich.

Hckgzki ;7<Zkokb ;7< 

Txkxl xbl `|ijlz ae ulzxcdlt@skxkmk` jcfk`gk` j|d|.

;75

;I

Lr~zltt <75 kt k` ci~za~lz ezkdxca`.

@skxkmk` < 7

5tljkgkc ~ldkbk` xkm wkokz.

;77

;I

Txkxl;>>

54kt k ~lzdl`xkgl.

@skxkmk` ;>>

54tljkgkc ~lzkx|t.

Page 45: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 45/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G8<

;>> if  

:>> if  

;72

;I

:7.>8 mi 9 ............ i

;73

;I

Wzcxl ‖xwa k`h a`l ecexb’ c` `|ilzkf.X|fctmk` ’h|k tkx| ~lz fcik’ hkfki k`gmk 

;2>

;I

<27 - 4 48< 9

;2;

;I

Hckgzki ;2; tbawt xbl uaf|il ae wkxlz c` k jlkmlz.

Zkokb ;2; il`|`o|mmk` ctc~kh| kcz hc hkfki tlj|kb jcmkz.

Wbkx ct xbl uaf|il& c` if& ae xbl wkxlz1

Jlzk~kmkb ctc~kh|& hkfki if& kcz xlztlj|x1 

Hckgzki ;2;

 Zkokb ;2; 

Page 46: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 46/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G85

;2:

;I

Txkxl xbl ~fkdl ukf|l ae < c` xbl hldcikf 2:.<88@skxkmk` `cfkc xli~kx jkgc < hkfki `aijaz ~lz~|f|bk` 2:.<88

;24

;I

Za|`h ae ;7 <85 xa xbl ̀ lkzltx xba|tk`h.J|`hkzmk` ;7 <85 ml~khk zcj| sk`g xlzhlmkx.

;28

;I

Hckgzki ;28 tbawt k `|ijlz fc`l.

Zkokb ;28 il`|`o|mmk` tkx| gkzct ̀ aijaz. 

^2

7;

Hckgzki ;28Zkokb ;28 

Txkxl xbl ukf|l ae ^@skxkmk` `cfkc ^. 

Page 47: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 47/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G87

;2<

;I

Txkxl xbl `|ijlz ae ulzxcdlt ae dsfc`hlz

@skxkmk` jcfk`gk` j|d| jkgc tlj|kb tcfc`hlz. 

;25

;I

Ec`h xbl xaxkf ae 425 k`h ;: 3>7.

Dkzc o|ifkb 425 hk` ;: 3>7.

;27

;I

Txkxl xbl ~fkdl ukf|l ae xbl `|ilzkf 8 c` xbl `|ijlz 84 :<5

@skxkmk` `cfkc xli~kx jkgc k`gmk 8 hkfki `aijaz 84 :<5.

;22

5> r ;<7 9

Page 48: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 48/51

DA@XAB TAKFK@ IKXLIKXCM \^TZ 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G82

;23 Wzcxl ‖ xbzll b|`hzlh ea|z xba|tk`h k`h tcrxll`’ c` `|ilzkft.

X|fct ‖ xcgk zkx|t li~kx zcj| l`ki jlfkt’ hkfki k`gmk.

;3>

;I

Da`ulzx 8.>7 xa k icrlh `|ijlz

X|mkzmk` 8.>7 ml~khk `aijaz jlzdki~|z.

;3;

;I

Lr~zltt:>

;5c` cxt tci~fltx eazi

X|mkzmk` :>

;5hkfki jl`x|m xlzi|hkb.

;3:

;I

Za|`h aee 7:.8<2 xa : hldcikf ~fkdlt

J|`hkzmk` 7:.8<2 ml~khk : xli~kx ~lz~|f|bk`.

Page 49: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 49/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;34

;I

Hckgzki ;34 da`

Zkokb ;34 xlzhczc 

jltkz.

A` xbl hckgzki&

F|mctmk` tlj|kb 

;38

;I

Wzcxl >.5< icffca`

X|fctmk` >.5< o|x 

;3<

;I

>.;45 ÷ 8 9

M \^TZ 

AFLB DCMG\ WA@G

ctxt ae tlulzkf t{|kzlt ae l{|kf tcl.

kzc~khk ~lxkm)~lxkm tlgcli~kx tkik s 

Hckgzki ;34! Zkokb ;34 

zkw k` ctatdlflt xzck`gfl.

tlgcxcgk mkmc tkik hkfki zkokb xlztlj|x.

c` `|ilzkft

hkfki k`gmk 

83

`g tkik 

Page 50: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 50/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

HCXKC^ HK@ HCMLIKTMC@C

;35

;I

Da`ulzx ;27, xa

X|mkzmk` ;27 , 

;37

;I

Txkxl 7:, kt k h@skxkmk`  7: , 

;32

;I

Hckgzki ;32 da`A` xbl hckgzki&

Zkokb ;32 xlzhczc 

jltkz. ^khk zkok 

M \^TZ 

AFLB DCMG\ WA@G

k icrlh `|ijlz

l~khk `aijaz jlzdki~|z.

dcikftljkgkc `aijaz ~lz~|f|bk` .

ctxt ae tlulzkf t{|kzlt ae l{|kf tcl.zkw k zcgbx)k`gflh xzck`gfl.

kzc~khk jljlzk~k ~lxkm tlgc li~kx tk 

cx|& f|mctmk` tlj|kb tlgc xcgk jlzt|h|x 

Hckgzki ;32 ! Zkokb ;32 

<>

k sk`g tkik 

xlgkm.

Page 51: Modul 1 markah

7/30/2019 Modul 1 markah

http://slidepdf.com/reader/full/modul-1-markah 51/51

DA@XAB TAKFK@ IKXLIKX 

IKZMKB ;

;33

;I

:8 235 - ;24 ;

:>>

;I

Hckgzki :>> tbaZkokb :>> il`| 

Wzcxl xbl xcil c`

X|fctmk` wkmx| cx 

M \^TZ 

>8 9

t xbl xcil Kbikh zlkdblt bail ezai t o|mmk` wkmx| Kbikh xcjk hc z|ikb hkzc 

Hckgzki :>>Zkokb :>> 

: ba|z tstxli

hkfki tstxli ;: oki 

XKIKX TAKFK@

TLFKIKX JLZOKSK

dbaaf .lmafkb`sk.