cover paper1 mt 2013.doc

8/14/2019 cover paper1 MT 2013.doc

1/23

Untuk kegunaan pemeriksa

SoalanJumlah

Markah

Markah

diperolehi

1 2

2 3

3 44 2

5 3

6 3

7 3

8 4

9 3

10 3

11 4

12 4

13 3

14 415 3

16 3

17 3

18 3

19 4

20 3

21 4

22 3

23 3

24 3

25 3TOTL

S U L IT 3472/1

3472/1

Tingkatan !mpat

Matematik Tam"ahan

#ertas 1

Okt 2$13

2 jam

%ama & ''''''(('''''

Tingkatan & '''''''((''

SEKOLAH MENENGAH KEBANGSAAN

PUTRAJAYA PRESNT 11!2"

)!)!*I#S% #+I* T+U% 2$13

MT!MTI# TM,+%

Tingkatan 4

#ertas 1

2 -am

J%.% ,U# #!*TS

SOL% I%I S!+I%.. I

,!*IT+U

1 Tulis namadan tingkatandengan jelasdalam ruangan yang telah disediakan.

2. Kertas ini mengandungi 25 soalan.3. Jawab semuasoalan di soalan kertas

soalan4. Beri hanya satujawapan/penyelesaian

bagi setiap soalan

5. Tunjukkanjalan kerja. a mungkinmembantu untuk dapatkan markah

!. "enarairumusdiberikan dalamhalaman 2 dan 3

7. Anda dibenarkan menggunakan kalkulatorsaintifik yang tidak-diprogramkan

#. Kertas soalan ini haruslah diserahkan

semula selepas tamat peperiksaan(

Disediakan oleh, Disemak oleh, Disahkan oleh

.. . .

(Pn. Siti Hajar Johari) (Pn. orani Ahmad ) (Pn. Abidah Sidek)!uru "atematik #ambahan $etua %idang Sains dan Penonolong $anan $urikulum

"atematik

Kertas soalan ini mengandungi 13 halaman ber$etak


2/23


3/23

S UL IT 3 3472/1

.!OM!T*0

3 A #$%&' (%)%(%&* a +,*m,&' $- a .%&,

1 /%+'a&, (x x )2

+(y y )2

1 2 1 2(x y )=

nx1

+mx2

ny

1+my

2

m +n m +n

2 M%( #$%&'

x +x y +y 4 A,a $- a '%a&*.,

(xy )= 1 2 1 2 1 2 2 (x1y

2+x

2y

3+x

3y

1)(x2y1 +x3y 2 +x1y3 )

2

STTISTIS

x1 x =

N

fx2 x =

4 = f (x x )2 =

ffx 2

fx 2

f 1 N F

5 m = L + 2 C

3

=

(x x )2

=Nx 2

N x2

fm

T*I.O%OM!T*0

1 A .,&*' s =r 2 A,a $- a +,'$ A =1r

22

1 y = uv dy

=udv

+vdu

LULUS

u dyv

duu

dv

d x dxdx dx dx 2 y = =

v dx v2

3dy

=dx

dy

du

du dx


4/23

See oerlea


5/23

For

examiners

use only

S U L IT 4 3472/1

Answer all questions.

1 /%a*am 1 ,#,+,&'+ ', ,.a'%$& ,',,& +,'R a&( +,' S

S

10

8

6

4

2

S'a',

!a" ', a&*,

1 2 3R

/AGRAM 1

!" ', '#, $- ,.a'%$&

1

2

2 marks:

Answer ; !a"


6/23

S U L IT 5 3472/1

F

exam

3 G%),& ', -=&'%$& f !x" =1+3x a&( ', $m#$+%',-=&'%$&

fg !x" =4 +3x 2 -%&(

use

!a" g!x" !" ', )a.=, $-x ,&

f1

!x" =5 4 marks:

Answer ; !a"


7/23

See oerlea

3472/1 S U L IT


8/23

For

examiners

use only

S U L IT 6 3472/1

6 T, ?=a(a'% ,?=a'%$& x2 #x +q =0 a+ $$'+ 3 a&(

1,,# a&( q a,

2$&+'a&'+ @%&( ', )a.=, $-# a&( q.

3 marks:

6Answer ;# 0 1 5

/AGRAM 3

!" # 4 marks:

Answer ; !a" q


9/23

3472/1 S U L IT


10/23

S U L IT 7 3472/1Fo

examinuse o

8 /%a*am 4 +$+ ', *a# $- ', -=&'%$& f !x" =4x2 !4k 12"x +15 5k %&,.a'%$& '$ ',xa>%+ @%&( ', a&*, $- )a.=,+ $- k

f%x& 3 marks:

x

/AGRAM 4

8

Answer ; k


11/23

k

For

xaminers

use only

S U L IT 3472/1

12 S$.), ', ,?=a'%$& .$*2!x 2" =1 +2 .$*

4!4 x"

4 marks:

12

Answer ;


12/23

S U L IT 8 3472/1

15 @%&( ', ,?=a'%$& $- ', .$=+ $- ', m$)%&* #$%&', += 'a' %'+ (%+'a&,+ -$m ',

Foexamin

use o

#$%&'+ A !2 3" a&( * !5 2" a, %& ', a'%$ $- 1 ; 2 3 marks:

15

Answer ;

16 A +,' $- -%), &=m,+ a+ a m,a& $- 9 F,& q %+ a((,( '$ ', (a'a ', &, m,a& %+

10 @%&( ', )a.=, $- q

3 marks:

1

Answer ; q

17 Ta., 1 +$+ ', -,?=,& (%+'%='%$& $- ', ma++,+ $- 40 +'=(,&'+

Ma++ !C*" 4650 5155 5660 6165 6670

@,?=,& 7 10 12 8 3

TABLE 1

F%'$=' (a%&* a& $*%), -%&( ', m,(%a& 3 marks:

17

Answer ;


13/23

For

examinersS U L IT 1$ 3472/1

use only1 @$ a +,' $- -$= &=m,+ %' %+ *%),& 'a' ', +=m $- a.. ', &=m,+

', +'a&(a( (,)%a'%$& %+ 2 3 @%&( ', )a.=, $- x2

x %+ 28 a&(

3 marks:

1

Answer ;


14/23

S U L IT 11 3472/1

2$ /%a*am 7 +$+ +,'$ +A* %' ,&', + a&( a(%=+ $- 5#

A

Fo

examuse

05 a(

+ C *

/AGRAM 7

P$%&' C %+ $& +* += 'a' +C ; C* 3 ; 2 G%),& 'a' ', #,%m,', $- ', +a(,(

,*%$& %+ 34 m a.=.a', ', )a.=, $-#!U+, 3142"

3 marks:

2$

Answer ;


15/23

For

xaminers

use only

S U L IT 12 3472/1

n2 +n2

22 /,',m%&, ', )a.=, $-

22

3

.%mn1 n1

3 marks:

Answer ;


16/23

S U L IT 13 3472/1

Fexam

use25 G%),& 'a' y =!3x 2" 4 a&(x (,,a+,+ a' ', a', $- 4 =&%' #, +,$&( -%&( ', a',

a' % y a&*,+ ,&x =1

.3

3 marks:

Answer ;


17/23

SULIT

3472/1

dditional

Mathemati;s

)aper 1

O;to"er

2$$6

S!#OL+ ,!*S*M )!%U+

#!M!%T!*I% )!LJ*% ML0SI

)!)!*I#S% #+I* T+U%

TI%.#T% 4

2$$6

ITIO%L MT+!MTIS

Pa#, 1

M*#I%. S+!M!

T%+ maC%&* +,m, $&+%+'+ $- 7 #%&',( #a*,+

3472I1 2006 D$#%*' SBP S,'$ M%&%+' $- E(=a'%$& Ma.a+%a

S U L IT


18/23

2

N=m, S$.='%$& a&( maC%&* +,m,S=

MaC+

@=..

MaC+

1 !a" -$ $ /$ !0

!" ma& '$ ma&

1

1

2

2 !a" C 1

2!2" C 5

!" 5

2

B1

1

3

3 !a" *!>" >2

1

!4+3x2"1

3

- 1

!>" x 1

3

!" > 16

3

B2

B1

1

4

4 >2 8> 6 0

!>3"!2> 4" 6>

2

B1

2

5 & 16

SOR 4 n

and POR 3 2 =122

SOR 4 n

or POR 32 =122

3

B2

B1

3


19/23

3

N=m, S$.='%$& a&( maC%&* +,m,S=

MaC+

@=..

MaC+

6?

3

2

# 5

2

SOR 3 +1

or POR 31

2 2

1

2

B1

3

7x 1 x

3

2

!2x3"!x +1" 0

2!>2

4" > 11

3

B2

B1

3

8 !a" ? 3

2

!" # 1

2

4 #!1 3" 2 2 or 4 #!5 3" 2 2

1

1

2

B1

4

9 2 C 3

!C 2"!C 3" 0

!12 4C"2 4!4"!15 5C" 0

3

B2

B1

3

10 > 1

2 !3> 3" x +3

2

x+3

5 25

3!x1" = x+35

2 or 5 3!x1" ! 5 2 " =5 2

3

B2

B1

3


20/23

4

N=m, S$.='%$& a&( maC%&* +,m,S=

MaC+

@=..

MaC+

11 3# 2 2m

3 .$* 5 7 2 .$* 5 5 2.$* 5 2

.$* 5 343 .$* 5 100

.$*343

5100

4

B3

B2

B1

4

12>

10

3

x 2= 24 x

.$*x 2

124x

.$* !4 x" .$* 2 ! > 2 " 1 2

2

.$* 2 4

4

B3

B2

B1

4

13 & 2

3 +1 n 6 =1

10 +6

7 5

3 +1 n 6 m S or m PR

10 +6 7 5

3

B2

B1

3

14 C 3

14 2C 20 and 14 2C 20

14 2C 20 or 14 2C 20

114 +2k =10

2

4

B3

B2

B1

4


21/23

5

N=m, S$.='%$& a&( maC%&* +,m,S=

MaC+

@=..

MaC+

15 3>2

32 6> 28 23 0

2 !x2"2+!y +3"

2

= !x 5"

2+!y 2"

2

!x2"2+!y +3"

2or !x5"

2+!y 2"

2

3

B2

B1

3

16 ? 15

45 +q=10

6

x =45

3

B2

B1

3

17 M,(%a& 5675

1!40" 17

555 + 2 5

12

L 555

3

B2

B1

3

18 x2 =244

2x!7"2 =2 3

4

x 7

3

B2

B1

3

19 S P 1171 m

S P 5 ! 2342 "

'+( =3142 08 = 2342 rad

(+R =4

radian5

4

B3

B2

B1

4


22/23

6

N=m, S$.='%$& a&( maC%&* +,m,S=

MaC+

@=..

MaC+

20 # 4

25# 2# 4# 34

S AB 5# !05"

3

B2

B1

3

21 8224 '$ 8233 m2

1(20)

2

80

3142

1(20 )

2+%&80

2

180

2

1

(20)

2

80

3142

and

1

(20 )

2

+%&80

2 180 2

1(20)

2

80

3142 or

1(20 )

2+%&80

2

180

2

4

B3

B2

B1

4

22 3

.%m ! n +2 "n1

(n +2)(n 1)

3

B2

B1

3

23 7

4(1)3(1)+432(1)2 1

93(1)+4:2

4x [3x +4]3 2x2 1

3x +4

3

B2

B1

3


23/23

N=m, S$.='%$& a&( maC%&* +,m,S=

MaC+

@=..

MaC+

24 4> 2

2 4 !1" ory 2

=4x 1

dy 6> 2 or

dy=4

dx dx

3

B2

B1

3

25 dy= 48

dt

dy= 12

3

1 2

34dt

3

dy 4 !3> 2"

3!3"

dx

3

B2

B1

3

cover paper1 mt 2013.doc

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