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1449/1 &1449/2(PP)
Mathematics
Paper 1/2
JABATAN PENDIDIKAN NEGEI PEAK
M!"KTE#TTINGKATAN $IMA
#IJI$ PE$AJAAN MA$A%#IA
MATEMATI"# 1449/1 & 1449/2
MAKING #"EME
PERATURAN PEMARKAHAN
Mar's %100)
140
21( ×+ Paper Paper
This Marking Scheme consist of 14 printed pages
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SULIT 14491! 14492
MATEMATI"# PAPE 1
1 A 11 " 21 D 1 A
2 " 12 B 22 D 2 "
" 1 B 2 D A
4 B 14 " 24 B 4 A
* B 1* A 2* B * D
+ D 1+ A 2+ A + A
, D 1, B 2, D , B
- D 1- B 2- B - D
9 " 19 A 29 " 9 B
1. " 2. " . D 4. D
MATEMATI"# PAPE 2
"#$% $&'*M+,T&ST2 201- SULIT
2
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#ecti0 A
%o. Marking Scheme Marks
1.a)
/)
%ote
(U') correct3shaded a5ard 1 mark.
1
2
2
x 6 y 7 -- or e8i:aent or ; x 6 2 y 7 14- or e8i:aent
; x 6 ; y 7 1<- or e8i:aent
+'
x 7 -- – yor e8i:aent (1)
+'
y
x
7 );(1)2(1
1
−
−
−1;
12
14-
--
(2)
x 7 ;- y 7 20
1
1
11 4
;. 0=<2 =−+ x x
( ) ( ) 01= =−+ x x
1
11
"#$% $&'*M+,T&ST2 201- SULIT
P
Q
R
Q
RP
;
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T
U
'
$
S
>
12 cm
1< cm
- cm
SULIT 14491! 14492
x 7 ?= x 7 14=d
1
4
4.
a)
/) tan @ 1;
A
@ 7 B;<;1C<1.;1 00
1
1
1
-. a)
/)
0 D 2 y D 1A 7 0
y 7 E 9
%ote
ccept ans5er 5ithot 5orking a5ard 2 marks.
m PN 7 2
1
(from e8ation) orm PN 7 01A
)9(0
−−−
7 2
1
= 7 2
1
(4) 6 c
y 7 2
1
x 6 -
1
1
1
1
1 *
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< a)
/)
c)
1
2 F < F 1A
-4
1(9 1-) 1A
2
1-
× + ×
14
2
- or 14.4
14 F t or
1
2 ( t 6 t D < )× 1A
1;.-
1
1
1
1
1
1 +
= a)
/)
c)
(i) False(ii) True
Implication 1: If sin θ =0.5, then θ =0 °
Implication ! : If θ =0 ° , then sin θ = 0.5
360
8 or "5 °
1
1
1
1
1 *
A.
a)
/)
n = #
$ote :1
(6 ) (3 )−(−5 )(−4) % (matri&)seen a'ar1
mar
( 1 1
25 105)( x y) = ( 78
4830)( x y )=
1
(1 ) (105 )− (1 )(25) ( 105 −1
−25 1 )( 78
4830) x = "! , y = *
2
1
1
11 +
"#$% $&'*M+,T&ST2 201- SULIT
-
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9
=
22
×; × ; × =
=
22
×; × ; ×; or 2
1
× ;
4
× =
22
×; × ; ×;
=
22
×; × ; × = G ( =
22
×; × ; ×; 6 2
1
× ;
4
× =
22
×; × ; ×;)
-<.-= or =
;9<
or -< =
4
1
1
1
1 4
10a)
/)
1A0 222 -
;<0 =× × ×
or
<0 222 2.-
;<0 =× × ×
e8i:aent1A0 22 <0 22
2 - 2 2.-
;<0 = ;<0 =
× × × + × × ×6- 6 2.- 6 2.-or e8i:aent
2A.;; or
;;2A
100 or
2A;;
100
21A0 22-
;<0 =× ×
or
2<0 222.-
;<0 =× ×
or e8i:aent
21A0 22-
;<0 =× ×
6
2<0 222.-
;<0 =× ×
1A <
2− × ×
or e8i:aent
1A.-< or 141A2- or
4<42-
1
1
1
1
1
1 +
11.a) +tcome of Ho
Kesudahan Kotak Q
H ,
1 (1,B) (1,C)
2 (2,A) (2,B) (2,C)
; (3,A) (3,B)
2
"#$% $&'*M+,T&ST2 201- SULIT
<
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SULIT 14491! 14492
/)
+ 9
t c o m e o f H o I $
K e s u d a h a n K o t a k P 4 (4,A) (4,B)
%ote1. +ccept ! mistaes for 1 mar.!. +ccept 'ithout racets.
i)
J(1H) (2H) (;H) (4H)K
12
4
or e8i:aent.
ii)
J(1) (1H) (1,) (2,) (;) (;H) (;,) (4,)K
12A
or e8i:aent.
1
1
1
1
+
"#$% $&'*M+,T&ST2 201- SULIT
=
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12 a)
/)
c)
d)
y 7 11 y 7 ? -
Note
1) if points are correct3 marked on the graph
2) the cr:e passes eact3 throgh the points.
Graph :es are dra5n in the correct direction 5ith niform
scae. in the range E;.- ≤ x ≤ ;.- and −1- ≤ y ≤ 1=.
= points and 2 points are correct3 marked
Smooth cr:e and continos3 in range of
E ;.- ≤ x≤ ;.- 5ith no straight ine part and passing throgh a the correct 9 points.
Note(i)= C Apoints are correct3 potted a5ard 1 mark
(ii)+ther scae sed dedct 1 mark.
(i) -.4 ≤ 3 ≤ -.-
(ii) ;.; ≤ x≤ ;. 4
Straight ine y 7 - x− - correct3 dra5n and meet the
cr:e.
The e8ation y 7 - x− - a5ard 1 mark
The :ae of x ;.2 ≤ x≤ ;.;
0.< ≤ x≤ 0.=
Note
(i) The -alue of x otaine calculation,
no mara'ar.
11
1
2
1
1
1
2
1
1
12
"#$% $&'*M+,T&ST2 201- SULIT
#ecti0 B
A
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"#$% $&'*M+,T&ST2 201- SULIT
9
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2
1*
3 7 - -
;; A y x x= − +
SULIT 14491! 14492
1;
(a)(i)
(ii)
()(i)
(ii)
(1,/)(!,") seen mare a'ar 1
(#5,#5)(#",!) seen mare a'ar 1
P Re2ection in the line = #1Q 3nlar4ement, scale factor = !, centre (0,#/)
x 1*.5 = !!
x x = 1*.5
x = 5.5
!
!
!
!
112
14 (a)
"3ass I0tera3 Mi5pi0t 6re78e0c
I 65 - 69 +, 2
II 70 - 74 ,2
III ,* ,9 ,, *
I> -. -4 -2 9
> -* -9 -, ,
>I 9. 94 92
>II 9* 99 9, 1
,ass inter:a (II to >II) a correct
Midpoint (I to >II) a correct
re8enc3 (I to >II) a correct
%ote - or < fre8enc3 are correct a5ard 1 mark
(/)
;0
)19=();92()=A=()9A2()-==();=2()2<=( ×+×+×+×+×+×+×
or ;0
24--
A1.A; or
-A1
< or
491
<
11
2
2
1
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(c) Nistogram
es dra5n in the correct direction 5ith niform scaes. x?ais is a/eed /3 midpoints cass /ondaries cass
inter:as.
= /ars are correct3 dra5n
,ompete histogram
%ote
- or < /ars are correct3 dra5n a5ard 1 mark.
(d) Moda ,ass 7 A0 D A4
%ote1. +ccept an reasonale information.!. 6o not accept information 'ithout histo4ram.
11
2
1
12
1- (a)P3a0
The shape mst /e right 5ith the rectanges. ines mst /e f3dra5n.
2 cm
) cm
+ cm
Measrement mst /e accrate to ± 0.2 cm and a anges at
rectange :erte 7 90o ± 1
%ote ,orrect shape dra5n a5ard 1 mark on3
;
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%
$
:
#
SULIT 14491! 14492
/) i
/) ii
E3eati0 ;
The shape mst /e right 5ith the haf of a circe. ines mst /ef3 dra5n.
1 cm
2 cm4 cm
1 cm
1 cm; cm
2 cm
- cm
Measrement mst /e accrate to ± 0.2 cm and a anges at
rectange :erte 7 90o ± 1 %ote ,orrect shape dra5n a5ard 1 mark on3
E3eati0 %
The shape mst /e right 5ith the rectanges. ines incded the
dotted ines mst /e sho5n compete3.
1 cm
1 cm
1 cm
2 cm
< cm
%ote ,orrect shape dra5n a5ard 1 mark on3
4
-
12
1<
a)
' (<0° S 1<0°O)
1
1
2
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/)
c) i)
ii)
%ote <0°S or 1<0° O a5ard 1 mark
<0 × <0
;<00
A00 × 4.-
;<00
o<0cos
;<00
%ote Using ,os <0P a5ard 1 mark
<0<0
;<00
Cos× − 20° or 120°− 20°
100°O
1
1
1
1
2
1
1
12
TN& &%Q + M'I%R S,N&M&
"#$% $&'*M+,T&ST2 201- SULIT
1;
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re8enc3
*
1
+
4
2
,
-
.
,, -2 92 9,-,,2+,
9
1.
Marks
SULIT 14491! 14492
%o 14.
"#$% $&'*M+,T&ST2 201- SULIT
14