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SULIT
SULIT
1449/1
SMK PUTERI AMPANGJALAN AMPANG55000 KUALA LUMPUR
MATEMATIK Satu jam tiga puluh minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU1. Kertas soalan ini adalah dalam dwibahasa.2. Soalan dalam bahasa Melayu mendahului soalan yang sepadan dalam bahasa Inggeris.
3. Kertas soalan ini mengandungi 2 bahagian:Bahagian A 20 soalan objektif (20 markah)
Bahagian B 4 soalan subjektif ( 30 markah)4. Jawab semua soalan. 5. Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.6. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogramkan.Disediakan oleh : Disemak oleh:
-------------------------------------- ----------------------------------------
Cik Noraisha Binti Mhd Yusof Pn. Norrani Bt JamalGuru Matematik Tingkatan 5 Ketua Panitia MatematikKertas soalan ini mengandungi 8 halaman bercetakMATHEMATICAL FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.RELATIONS
1
2
3
4
5
6
7
8Midpoint,
9Average speed =
10Min =
11Mean =
12Pythagoras Theorem
13
14m =
SHAPES AND SPACE1Area of trapezium = ( sum of parallel sides ( height2Circumference of circle =
3Area of circle =
4Curved area of cylinder =
5Surface area of sphere =
6Volume of right prism = cross sectional area ( length
7Volume of cylinder =
8Volume of cone =
9Volume of sphere =
10Volume of right pyramid = base area ( height11Sum of interior angles of a polygon = ( n 2 ) ( 180
12
13
14Scale factor, k =
EMBED Equation.3 15Area of image = k2 ( area of objectAnswer all questions.
Jawab semua soalan.
1Find the value of ( 7 + 1.65 ) 0.16 and round off the answer correct to three significant figures.
Cari nilai ( 7 + 1.65 ) 0.16 dan bundarkan jawapan betul kepada tiga angka bererti .
A1.38
B7.23
C1.384
D7.264
2Express 5630000 in standard form.
Ungkapkan 5630000 dalam bentuk piawai .
A5.63 ( 10 6
B5.63 ( 10 ( 4
C5.63 ( 10 4
D5.63 ( 10 63
A
B
C
D
4
A1.4 x 10 8
B1.4 x 10 8
C1.4 x 10 2
D1.4 x 10 25State the value of the digit 3 in the number , in base ten.Nyatakan nilai digit 3 bagi nombor , dalam asas sepuluh.A25
B30
C45
D75
6
+
A10110112
B11011012
C11011102
D111001127Diagram 7 shows PQRSTU and KLMUP are regular polygons.
Rajah 7 menunjukkan PQRSTU dan KLMUP ialah poligon sekata.Find the value of x.
Cari nilai x.
A108
B120
C132
D228
8In Diagram 8, PQU is an equilateral triangle and PQR is a straight line.
Dalam Rajah 8, PQU ialah segi tiga sama sisi dan PQR ialah garis lurus.Calculate the value of x + y.
Hitung nilai x + y.
A95
B105
C135
D2509In Diagram 9 , PQR is a tangent to the circle at point Q. QST is an isosceles triangle.
Dalam Rajah 9, PQR ialah tangen kepada bulatan di titik Q. QST ialah segi tiga sama kaki.
Find the value of x.
Cari nilai x.A51
B57
C60
D61
10Diagram 10, shows five pentagons drawn on square grids.
Rajah 10, menunjukkan lima pentagon di lukis pada grid segi empat sama.
Which of the pentagon A , B , C or D , is an image of pentagon P under a translation ?
Antara pentagon A , B , C atau D ,yang manakah imej bagi pentagon P di bawah translasi ?11Diagram 11 shows parallelogram P and Q drawn on a Cartesian plane. Q is the image of P under an enlargement.
Rajah 11 menunjukkan dua segi empat selari P dan Q dilukis di atas satah Cartesan. Q adalah imej bagi P di bawah suatu pembesaran.
Find the centre and the scale factor of the enlargement.
Cari pusat pembesaran dan faktor skala pembesaran itu.
Centre of enlargement
Pusat pembesaranScale factor
Faktor skala
A( 1 , 2 )2
B( 1 , 2 )
C( 2 , 1 )2
D( 2 , 1 )
12In Diagram 12, PQRSTU is a regular hexagon and PQV is a straight line.
Dalam Rajah 12, PQRSTU ialah sebuah heksagon sekata dan PQV ialah satu garis lurus.
Given
, find the value of .
Diberi , cari nilai bagi .
A
B
C
D
13Which graph represent y = sin xo for ?
Graf manakah yang mewakili y = sin xo bagi ?
A
B
C
D
14Diagram 14 shows a prism with horizontal square base HJKL. Trapezium EFLK is the uniform cross-section of the prism. DEKJ is vertical and GFLH is inclined. Rajah 14 menunjukkan sebuah prisma dengan tapak segi empat HJKL sebagai tapak mengufuk. Trapezium EFKL adalah keratan rentas seragam prisma itu. DEKJ adalah satah menegak dan GFLH adalah satah condong.
Name the angle between the plane DLH and the base HJKL.Namakan sudut di antara satah DLH dan tapak HJKL.
A( DLKB( DHJ
C( GHJ
D( GHD
15In Diagram 15, PQ and RS are two vertical poles on a horizontal plane.
Dalam Rajah 15, PQ dan RS adalah dua batang tiang yang terletak pada permukaan mengufuk.The angle of elevation of P from S is 30o. Calculate the angle of elevation of R from P.Sudut dongak puncak P dari S ialah 30o. Hitungkan sudut dongak puncak R dari P.A30oB33o 55'C51o 20'D60o16P, Q and R are three points on the horizontal ground. S is a point on vertical pole. The angle of depression of P from S is m and the angle of depression of Q from S is n.
Which diagram represents the situation?
P, Q and R ialah tiga titik pada tanah mengufuk.S ialah satu titik pada tiang tegak. Sudut tunduk P dari S ialah m dan sudut tunduk Q dari S ialah n.
Rajah manakah yang mewakili situasi tersebut?
A
B
C
D
17Diagram 17 shows the position of point P and point Q.
Rajah 17 menunjukkan kedudukan titik P dan titik Q.
Find the bearing of P from Q.Carikan bearing P dari Q.A 045oB 135oC 225oD 315o18In Diagram 18, N is the North Pole, S is the South Pole and PQ is the diameter of the earth.
Dalam Rajah 18, N ialah Kutub Utara, S ialah Kutub Selatan, dan PQ ialah diameter bumi.
Find the location of Q.Cari kedudukan titik Q.A( 70o S , 50oW )
B( 70o S , 50o E )
C( 70o S , 130oW )
D( 70o S , 130oE )
19( 3m + 2 )( 1 n ) ( 5 m )( n 3) =
A6m 4mn 7n 13
B6m 2mn 7n + 17
C17 2mn 7n
D17 2mn + 7n
20Express as a single fraction in its simplest form.
Nyatakan sebagai pecahan tunggal dalam sebutan terendah.
A
B
C
D
21Given , express m in terms of k.
Diberi , ungkapkan m dalam sebutan k.A
B
C
D
22Given , calculate the value of x.
Diberi , hitung nilai x.
A
B
C 2D
23
=
A
B
C
D
24
=
A
B
C
D
25
Which of the following simultaneous linear inequalities satisfy the number line in Diagram 11?
Ketaksamaan linear serentak manakah yang memenuhi garis nombor dalam Rajah 11?
A
B
C
D
26Given that the solution of both the simultaneous linear inequalities and is . Find the value of p and of q.
Diberi bahawa penyelesaian bagi kedua-dua ketaksamaan linear serentak dan ialah . Cari nilai p dan nilai q.A
B
C
D
27The pie chart in Diagram 27 shows Ahmads monthly expenditure. Ahmads monthly expenditure on transport is RM 240.
Carta pai dalam Rajah 27 menunjukkan perbelanjaan bulanan Ahmad. Perbelanjaan bulanan Ahmad untuk pengangkutan ialah RM 240.
Ahmads monthly expenditure on rent and food, in RM is
Perbelanjaan bulanan Ahmad untuk sewa rumah dan makanan , dalam RM ialah
A600B810
C880D900
28The bar chart in Diagram 28 shows the number of participants in a marathon for three universities X, Y and Z.
Carta palang dalam Rajah 28 menunjukkan bilangan peserta dalam acara marathon bagi tiga buah universiti X, Y dan Z.
Find the percentage of the female participants from university Y in the marathon.
Cari peratus peserta perempuan dari universiti Y dalam acara marathon itu.
A15.63B31.25
C41.67
D58.33
29Table 29 shows the number of children in 40 families.Jadual 29 menunjukkan bilangan anak yang dipunyai oleh 40 buah keluarga.
Number of children
Bilangan anak12345
Number of families
Bilangan keluarga814756
Table 29Jadual 29Find the mean number of children.
Cari min bagi bilangan anak.
A2.68B3.00C7.13
D8.0030Diagram 30 shows the graph of .
Rajah 30 menunjukkan graf bagi .
Find the value of n and of p.
Cari nilai n dan nilai p.
A
B
C
D
31
Diagram 31 shows a Venn diagram with the universal set , = M N.Rajah 31 menunjukkan gambar rajah Venn dengan set semesta , = M N.
List all the subsets of set N.
Senaraikan semua subset bagi set N.
A{ 2 }B{ 2 } , { 3 }
C{ } , { 2 } , { 2 } , { 3 }
D { } , { 2 } , { 3 } , { 2 , 3 } 32Diagram 32 is a Venn diagram showing the number of elements in set P , set K and set R
Rajah 32 ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set P , set K dan set R.
It is given that the universal set , = P K R and n ( ) = 29 .
Find the value of n ( P ' ).
Diberi bahawa set semesta , = P K R dan n ( ) = 29 .
Cari nilai bagi n ( P' ).A18
B20
C23
D2733Diagram 33 shows a straight line KL with equation 2 y = m x + 8, where m is a constant .
Rajah 33 menunjukkan garis lurus KL yang mempunyai persamaan 2 y = m x + 8 , dengan keadaan m ialah pemalar.It is given that OL : OK = 3 : 2 .
Find the value of m.Diberi bahawa OL : OK = 3 : 2 .
Cari nilai m.A 2
B
C
D2
34 The gradient of a straight line is and the x-intercept is 10.
Find the y-intercept .
Kecerunan suatu garis lurus ialah dan pintasan-x ialah 10.
Cari pintasan-y.
A25
B4
C 4D 25
35Table 35 shows how a group of 450 students travel to school.
Jadual 35 menunjukkan bagaimana sekumpulan 450 orang murid ke sekolah.Type of transport
Jenis pengangkutanBicycle
BasikalMotorcycle
MotosikalCar
KeretaBus
Bas
Number of students
Bilangan murid1305070200
A student is chosen at random from the group.
Find the probability that the student travels to school by bus .Seorang murid dipilih secara rawak daripada kumpulan itu .
Cari kebarangkalian bahawa murid itu pergi ke sekolah menaiki bas .
A
B
C
D
36A container holds 50 packs of sweets and a number of packs of chocolates .The probability of picking at random a pack of chocolate is .
How many packs of sweets are there in the container ?
Sebuah bekas mengandungi 50 bungkus gula-gula dan beberapa bungkus coklat. Kebarangkalian bahawa sebungkus coklat dipilh secara rawak ialah . Berapakah bilangan bungkus gula-gula dalam bekas itu ?
A20
B30C35D4537It is given that y varies inversely as the square root of x .
Find the relation between y and x .
Diberi bahawa y berubah secara songsang dengan punca kuasa dua x .
Cari hubungan antara y dan x .
A
B
C
D
38It is given that and p varies directly as the square of q and inversely as the square root of r .
State the value of m and of n.Diberi bahawa dan p berubah secara langsung dengan kuasa dua q dan secara songsang dengan punca kuasa dua r .
Nyatakan nilai m dan nilai n.Am = 2 , n = .
Bm = 2 , n = .
Cm = , n = 2 .Dm = , n = 2 .39
3
A
B
C
D
40Given = , find the value of t.
Diberi = , cari nilai t.
A 1
B 2
C 3
D 4
Mathematics
MAC
2015
EMBED Equation.3 jam
UJIAN BULANAN 1
2015
Diagram 7
Rajah 7
EMBED Equation.3
Q
u
R
P
K
L
M
U
S
T
T
P
Q
R
S
110 o
U
50o
yo
75o
xo
Diagram 8
Rajah 8
R
xo
65o
58o
P
Q
S
T
Diagram 9
Rajah 9
P
A
B
C
D
Diagram10
Rajah 10
Diagram 11
Rajah 11
1
x
P
Q
y
2
3
4
5
6
7
8
9
10
11
12
1
2
3
4
5
6
7
8
9
10
0
S
T
P
U
R
Q
V
Diagram 12
Rajah 12
y
x
(1
0
1
90
180
y
x
0
1
180
90
y
x
(1
0
1
90
180
y
x
(1
0
1
90
180
Diagram 14
Rajah 14
K
E
F
L
D
G
J
H
6 cm
8 cm
20 m
P
Q
R
S
25 m
Diagram 15
Rajah 15
P
Q
R
S
m
n
P
Q
R
n
m
S
P
Q
R
S
n
m
P
Q
R
S
m
n
North
North
135o
P
Q
Diagram 17
Rajah 17
N
O
P
S
50o
70o
Diagram 18
Rajah 18
Q
0o
(3
(2
(1
0
1
2
3
4
5
x
Diagram 25
Rajah 25
150o
80o
60o
Transport
Pengangkutan
Rent
Sewa rumah
Food
Makanan
Others
Lain-lain
Diagram 27
Rajah 27
40
80
120
160
200
240
280
X
Y
Z
Universities
Universiti
Diagram 28
Rajah 28
Female
Perempuan
Male
Lelaki
Key :
Petunjuk :
Number of participants
Bilangan peserta
y
x
(16
Diagram 30
Rajah 30
Diagram 31
Rajah 31
2
N
M
2
3
R
K
P
6
3
2
Diagram 32
Rajah 32
y
L
K
y
x
O
6
Diagram 33
Rajah 33
Table 35
Rajah 35
END OF QUESTION PAPER
2015 hak cipta smkpa
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SULIT
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