cover paper1 mt 2013.doc
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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
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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
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See oerlea
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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"
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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.=, $-x ,&
f1
!x" =5 4 marks:
Answer ; !a"
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8/14/2019 cover paper1 MT 2013.doc
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See oerlea
3472/1 S U L IT
-
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8/23
For
examiners
use only
S U L IT 6 3472/1
6 T, ?=a(a'% ,?=a'%$& 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
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3472/1 S U L IT
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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
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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 ;
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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 ;
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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 ;
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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 ;
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For
xaminers
use only
S U L IT 12 3472/1
n2 +n2
22 /,',m%&, ', )a.=, $-
22
3
.%mn1 n1
3 marks:
Answer ;
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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 ;
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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
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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
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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
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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
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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
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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
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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
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