Trial spm terengganu_2013_maths_paper1_paper2_[a]
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SULIT 1449/1
Matematik
Kertas 1
Percubaan SPM
September 20131 jam 15 minit
PENTAKSIRAN SUMATIF 3
SIJIL PELAJARAN MALAYSIA 2013
MATEMATIK (KERTAS 1)Satu jam lima belas minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini adalah dalam dwibahasa.
2. Soalan dalam bahasa Melayu mendahului soalan yang sepadan dalam bahasa Inggeris.
3. Calon dikehendaki membaca maklumat di halaman belakang kertas soalan ini.
1449/1
Kertas soalan ini mengandungi 31 halaman bercetak
TERENGGANU NEGERIANJUNG ILMU
Dibiayai oleh:Kerajaan Negeri Terengganu
Dicetak Oleh:
Percetakan Yayasan Islam Terengganu Sdn. Bhd.Tel: 609-666 8611/6652/8601 Faks: 609-666 0611/0063
[Lihat halaman sebelah
SULIT*http://edu.joshuatly.com/
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SULIT
Matematik
Kertas2
Percubaan SPM
September 20132 jam 30 minit
NAMA
Tingkatan
PENTAKSIRAN SUMATIF 3
SIJIL PELAJARAN MALAYSIA 2013
MATEMATIK (KERTAS 2)Dua jam tiga puluh minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERTTAHU
1. Tuliskan nama dan tingkatan andapada ruangyang disediakan.
2. Kertas soalandwibahasa.
ini adalah dalam
3. Soalan dalam Bahasa Melayumendahului soalan yang sepadan dalamBahasalnggeris.
4. Colon dibenarkan menjawabkeselwuhan atari sebahagian soalansoma ada dalam Bahasa Inggeris atauBahasa Melayu.
5. Colon dikehendaki membaca maklumatdi halaman belakangkertassoalan ini.
Pemeriksa
Bahagian SoalanMarkah
Penuh
Markah
Diperoleh
A
1 3
2 3
3 4
4 4
5 5
6 4
7 6
8 5
9 6
10 6
11 6
B
12 12
13 12
14 12
15 12
Jumlah
Kertas soalan ini mengandungi 36 halaman bercetak
TERENGGANU NEGERIANJUNG ILMU
Dibiayai oleh:Kerajaan Negeri Terengganu
Dicetak Oleh:
Percetakan Yayasan Islam Terengganu Sdn. Bhd.Tel: 609-666 8611/6652/860J Faks: 609-666 0611/0063
1449/2
1449/2 [Lihat halaman sebelah
SULIT*http://edu.joshuatly.com/
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1449/1 & 2
Matematik
Kertas 1/2
2013
JABATAN PELAJARAN TERENGGANU
PENILAIAN SUMATIF 3 TAHUN 2013
SIJIL PELAJARAN MALAYSIA
MATEMATIK 1449/1/2
Kertas 1 & 2
PERATURAN PEMARKAHAN
Markah =Kertas 1 + Kertas 2
140
Peraturan Pemarkahan ini mengandungi 16 halaman bercetak
Disediakan oleh : Guru AKRAM Negeri Terengganu Dibiayai oleh : Kerajaan Negeri Terengganu
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SULIT
SKEMA PERMARKAHANPENILAIAN SUMATIF 3 TAHUN 2013
SIJIL PELAJARAN MALAYSIA
MATEMATIK KERTAS 1
1449/1/2
1 D 11 C 21 B 31 D
2 B 12 c 22 C 32 C
3 A 13 B 23 A 33 D
4 C 14 B 24 B 34 B
5 C 15 D 25 B 35 D
6 C 16 C 26 A 36 C
7 A 17 B 27 C 37 C
8 B 18 A 28 B 38 A
9 D 19 D 29 A 39 B
10 B 20 A 30 A 40 A
1449/1/2 PentaksiranSumatif3 2013 SULIT
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SULIT
No.
Soalan
SKEMA PERMARKAHAN
PENILAIAN SUMATIF 3 TAHUN 2013SIJIL PELAJARAN MALAYSIA
MATEMATIK KERTAS 2Bahagian A
Peraturan Pemarkahan
2y = x + A
Garis lurus y = 3 dilukis dengan betul
Rantau di lorek dengan betul.
Nota:
y = 3 dilukis dengan garis putus-putus , diberi Kl PI
(a) ZGFK@ZKFG
(b) ianZGFK= —v ) 13
21°2'@21.04
y = 3
1449/1/2 PentaksiranSumatif3 20I3
1449/1/2
Markah
Kl
P2
PI
Kl
N'
SULIT
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SULIT
3x+ 2y=S or x = 2y or any equivalent
4x - 8 or any equivalent
OR
0>>
1
(|)(-2)-(l)(l)
1
-2 -1
-i l2)
'-2 -0
3
(4\
Note: (_3)(_2)_(1)(1)-1-
-12y
or
'3
2'x^ (41
\yj0) give Kl
^ •J
x = 2
y=l
Note: Answer '21
3x2+x-4 = 0
(3x +4)(x-l) =0
x= 1 ,x = - -
give N1
1449/1/2 Pentaksiran Sumatif 3 2013
K2
1449/1/2
Kl
Kl
Nl
Nl
Kl
Kl
N1N1
SULIT
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SULIT
(a) (i) Bukan pemyataan / non-statement(ii) Pemyataan / statement
(b) Sebilangan/some
(c) 2n3 + 5
n= 1,2,3,4
16xl6x/
22
7x7x7x/
2216xl6xr x7x7x/=816
7
(a) mFO=-
2 = -(4) + c2
v=-x-4' 2
1(b) m0R=--
3 = —(6) + c2
c = 6
1449/1/2 Pentaksiran Sumatif 3 2013
1449/1/2
PI
PI
PI
Kl
Nl
Kl
Kl
Kl
Nl
PI
Kl
Nl
PI
Kl
Nl
SULIT
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SULIT
(a) 60
(b) (i) 12.40pm @1240
(ii) 20 min
(c)160km I60km(60)
180 min \80jam
1= 53.33 = 53
3
120 _ 22 %.(a) x2x — xl4
360 7
90 . 22or x 2 x — x 7~" 360 7
7+Mx2x^xl4+~*°-x2x^x7+7 +14360 7 360 7
168- atau 68.33
3
or
90 22x — x7'
360 7
90 22 _,x7"
/1% 120 22 f.a(b) x — xl4
360 7
120 22 1/l2x — xl4 -
360 7 360 7
166- atau 166.836
NOTE:
1. Accept n for K mark.
2. Accept correct value from incomplete substitution for K mark.
3. Correct answer from incomplete working, award Kk2.
1449/1/2 PentaksiranSumatif3 2013
1449/1/2
PI
PI
PI
Kl
Nl
Kl
Kl
Nl
Kl
Kl
Nl
SULIT
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SULIT
10
11
(a) (5,5) (5,P) (5,N) (5, T)(P,J) (P,P) (P,N) (P,T)(2, J) (2,P) (2,N) (2,T)(M,J) (M,P) (M,N) (M,T)
Nota : Terima betul 14 atau 15 untuk PI
(b)(i) (P,J) (P,P) (P,N) (P,T)(M,J) (M,P) (M,N) (M,T)
8 * l— atau —16 2
(ii) (5, J) (5,P) (5,N) (5,T) (P,T)(2,J) (2,P) (2,N) (2,T) (M,T)
10 + 5— atau —16 8
Nota: Terima tanpa kerja atau tanpa ringkasan
(a)1
2(4)-5(-l)
'4 5
v-1 2-
< 4 5^1 (4 5>
atau 13 13
13 ^ 2, 1
v~32
3,
r2 -5V^ ri6^(b)
V
vJV
Nota: Jika
1 4 >•v^/
1
2(4)-5(-l)
x= 3
y=-2
V"5y
'4 5Vl6^
-1 2 v-5,
K-hsahaja dapat Nl
1449/1/2 PentaksiranSumatif3 2013
1449/1/2
P2
Kl
Nl
PI
Nl
Kl
Nl
Kl
Kl
Nl
Nl
SULIT
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SULIT
12 (a) 12.5-16.7
(b) Graph:Axes drawn in the correct direction with uniform scales.for - 4 < x < 4 and -25 < y < 25.
All 7 points and 2 points* are plotted correctly or the curvepasses through these points.Note:
7 @ 8 points are correctly plotted, Kl
A smooth and continuous curve in range of- 4 < x < 4 with no straight line part andpasses through all 9 correct points using thegiven scales.
(c) (i) - 1.9 < x < -1.7 and •> The graph isf drawn
(ii) - 9.0 < y < - 7.0
(d)
Note:
Identify equation y - -4x - 5Straight line y = -4x - 5 correctly drawn and meet thecurve.
The values ofx : 1.8 <x< 2.0-3.2 < x < -3.0
(i) Allow N mark if thevalues ofx are shown onthegraph,
(ii) The values of x obtained by calculation, give NO
1449/1/2 Pentaksiran Sumatif 3 2013
1449/1/2
Kl
Kl
PI
K2
Nl
PI
PI
Kl
Kl
Nl
Nl
12
SULIT
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6 r
sO •u 4k
.
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SULIT
13
to
(a) (i) (-5.8)
(ii) (3, 16)
Note : (5, 13)marked on diagram, award PI
(b) (i) V - Rotation of 180° about the centre (-1,10)
Note :1. Acceptwithout direction for P3 mark.2. P2 : Rotation of 180° or Rotation about the centre
(-1, 10)3. PI : Rotation
(ii) W- Enlargement centre L// (-6, 7) with scale factor3
Note :
1. P2 : Enlargement centre L // (-6, 7) orEnlargement with scale factor 3
2. PI : Enlargement
(c) 26.5 x(3)2
26.5 x(3)2-26.5
212
1449/1/2 Pentaksiran Sumatif 3 2013
1449/1/2
PI
P2
P3
P3
Kl
Kl
Nl 12
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SULIT
14(a)
(b)
W
id)
II 1449/1/2
Jisim badan
/?oi/v mass
36-40
41-45
46-50
51-55
56-60
61-65
66-70
71-75
76-80
Sempadan AtasUpper Boundary
40.5
45.5
50.5
55.5
60.5
65.5
70.5
75.5
80.5
KekerapanFrequency
5
8
10
11
9
4
KekerapanLonggokanCumulative
Frequency
0
15
25
36
45
49
50
Sempadan atas semua betulKekerapan semua betulKekerapan longgokan semua betul
Nota : 7 atau 8 kekerapan betul beri PI
OgifPaksi dilukis mengikut arah yang betul.Skala seragam digunakan dan paksi x dilabel dengan sempadan atasSemua titik ditanda dengan betul.
Nota: 7 atau 8 titik ditanda dengan betul dapat Kl
Ogif dilukis dengan betuldan licin.
(43 x2) +(48x 5) +(53 x8) +(58 x10) +(63 x11) +(68x 9) +(73 x4) +(78 x1)
3005
50
- 60.1 atau601
10
50
3005Nota: Jika dilunjukkan tanpa kiraan danjavvapan yang betul dapat Kk2
50
Median = 60.5 ±0.5
PI
P2
PI
PI
K2
Nl
K2
Nl
Kl
1449/1/2 Pentaksiran Sumatif 3 2013 SULIT
12
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SULIT 12 1449/1/2
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SULIT
15(a)
13
G
B
Bcntuk kelihatan betul, semua garis penuh
FG = GK<AF=BK<AB
Ukuran betul sehingga ± 0.2 cm (sehala) dan sudut di semua bucu
A dan B = 90° ± 1°
1449/1/2 Pentaksiran Sumatif 3 2013
1449/1/2
Kl
Kl BgtKl
Nl
BgtKl
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SULIT
b(i)
14
w —./>
T Q
HR
FG K
Bentuk kelihatan betul dengan segiempat tepat PQTW, QRST,FGHS dan GHRK.
Semua garis penuh
SF = FG = GK = KR, WT= TS= PQ = QR< SF
Ukuran betul sehingga ± 0.2 cm (sehala) dan sudut di semua bucu
segiempat tepat = 90° ± 1°
1449/1/2 PentaksiranSumatif3 2013
1449/1/:
Kl
Kl
BgtKl
N2
BgtKlKl
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SULIT 15 1449/1/2
b(ii)R Q
\
K J\
G H \
B C P
Bentuk kelihatan betul dengan segiempat tepat BCJK dan trapeziumCPQR.Semua garis penuh
Kl
Nota :
(i) Abaikan garis G clan //disambung dengan garisputus-putus membentuk segiempat tepat BCGH. Kl Bgt.Kl
(ii) QR<RKBC = CP<JC, RG<GB
Ukuran betul sehingga ± 0.2 cm (sehala) dan sudut di semua bucuKl
segiempat tepat = 90° ± 1° Bgt.Kl Kl
N2
Bgt.Kl KlKl
5
12
1449/1/2 PentaksiranSumatif3 2013 SULIT
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SULIT
16.(a)
(b)
16 1449/1/2
100° B P2
Nota: 100° atau 0°B dapat PI
(i) (35°t7, 100° 5) P1P1
(ii) (180-35-35)x60 Kl
6600 Nl
(c) (i) 180°x60xfaM35° K2
8846.84 Nl
Nota : Penggunaan kos 35° dapat Kl
(ii) 70 x 60 Kl
8846.84 + 70x60 Kl
850
15.35Nl
12
END OF MARKING SCHEME
SKEMA PEMARKAHAN TAMAT
1449/1/2 Pentaksiran Sumatif 3 2013 SULIT
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