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SULIT 1449/1
SEKTOR SEKOLAH BERASRAMA PENUH
BAHAGIAN SEKOLAH
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAAN SELARAS SBP
SIJIL PELAJARAN MALAYSIA
MATEMATIK
Kertas 1
Satu jam lima belas minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini adalah dalam Bahasa Inggeris.
2. Calon dikehendaki membaca maklumat di halaman 2.
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1449/1
Matematik
Kertas 1
Ogos
2007
1
4
1jam
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Kertas soalan ini mengandungi 21 halaman bercetak.
INFORMATION FOR CANDIDATES
1. This question paper consists of40 questions.
2. Answerall questions.
3. Answer each question by blackening the correct space on the answer sheet.
4. Blacken only one space for each question.
5. If you wish to change your answer, erase the blackened mark that you have done.Then blacken the space for the new answer.
6. The diagrams in the questions provided are not drawn to scale unless stated.
7. A list of formulae is provided on page 3 to 4.
8. You may use a non-programmable scientific calculator.
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MATHEMATICAL FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are the
ones commonly used.
RELATIONS
1 am x an = a m+ n
2 aman = a m n
3 ( am )n = a mn
4 A-1 =bcad
1
ac
bd
5 P ( A ) =)()(
SnAn
6 P ( A) = 1 P(A)
7 Distance = 2212
21 )()( yyxx +
8 Midpoint, (x, y ) =
++
2,
2
2121yyxx
9 Average speed =
10 Mean =
11 Mean =
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distance travelledtime takensum of data
number of data
sum of (class mark frequency)
sum of frequencies
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12 Pythagoras Theorem
c2 = a2 + b2
13 m =12
12
xx
yy
14 m =
SHAPES AND SPACE
1 Area of trapezium =2
1 sum of parallel sides height
2 Circumference of circle = d= 2r
3 Area of circle = r2
4 Curved surface area of cylinder = 2rh
5 Surface area of sphere = 4r2
6 Volume of right prism = cross sectional area length
7 Volume of cylinder = r2h
8 Volume of cone =3
1r2h
9 Volume of sphere =3
4r3
10 Volume of right pyramid =3
1 base area height
11 Sum of interior angles of a polygon = ( n 2) 180
12360
centreatsubtendedangle
circleofncecircumfere
lengtharc =
13360
centreatsubtendedangle
circleofarea
sectorofarea =
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y-intercept
x-intercept
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14 Scale factor , k=PA
PA'
15 Area of image = k2 area of object
Answer all questions.
1 Round off 0.06307 correct to three significant figures.
A 0.0600
B 0.0630
C 0.0631
D 0.06310
2 Express 2.314 10-5 as a single number.
A 0.02314
B 0.002314C 0.0002314
D 0.00002314
3 25000
4.1=
A 5106.5
B 4106.5
C
4106.5
D 5106.5
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6 Diagram 1 shows a hexagonRSTUVW. MVUL is a straight line.
Calculate the value ofx + y.
A 130
B 230
C 310
D 490
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A
B
C
D
5
A
B
C
D
7
A
B
C
D
6
RT
UV
S
W 60
70
M
Lx
y
DIAGRAM 1
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8 Diagram 2 shows a parallelogram KLMN.
The value ofx is
A 20
B 40
C 60
D 120
9 In Diagram 3,JKL is a tangent to a circle with centre O, at point K.MOL is a straightline.
IfJKM = 70 , find the value ofx.A 30
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N M
LK
3x
DIAGRAM 2
20
40
x
M
J
K
L
O
70
DIAGRAM 3
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B 40
C 50
D 70
10
11 Diagram 5 shows five polygons drawn on square grids.
B
A D
P
C
Which of the polygons A, B, C or D is the image ofP under a reflection ?
12 In Diagram 6, PTQ is a straight line. Given sin13
5=QPR .
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Q
T
R
PS
5 cm
3 cm
8 cm
DIAGRAM 6
DIAGRAM 5
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Find the value of sin STQ .
A 5
4
B 5
3
C5
3
D 5
4
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13 Diagram 7 shows the position of points P, Q andR on a map. Given that bearing ofR
from P is 080.
Find the bearing ofQ fromR.
A 060
B 240
C 270
D 300
14
15
A
B
C
D
9
140
Q
P
R
DIAGRAM 7
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16
A
BC
D
18
A
B
C
D
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A
B
C
D
19 ( ) ( )=
2
2 xyyxx
A2y
B222 yx
C2
2 yxy
D2
2 yxy
20 Express mn
nm
m
m ++5
5as a single fraction in its simplest form.
A5
51 m
Bn
n
5
5
Cmn
mmn
5
5
Dmn
mmnn
5
510 +
10
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22 Given that 5e 4 = 16 (e + 5) , calculate the value ofe.
A 25
6
B 52
C 2
5
D 6
25
23 Simplify ( ) 1232
2
12
qpqp .
A24
4 qp
B48
4 qp
C24qp
D48qp
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21 Given that
+= 38
4m
n , express m in terms ofn.
A 2(n 12 )
B 2n 12
C n 12
D n + 12
11
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24 Given that1
16 24
n
=
, find the value ofn.
A 2
B32
C3
2
D 2
26 In Diagram 12, the histogram shows the time spent by a group of students watching
television on a certain day.
0 9.5 19.5 29.5 39.5 49.5 59.5
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25 List all the integers kthat satisfy the inequalities 5)3(5 +
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Calculate the mean, in minutes, of the time spent by the students watching
television.
A 39.94B 39.54
C 33.95
D 33.94
27 The pictograph in Diagram 13 shows the number of television sets sold by a shop in
three particular days. The number of television sets sold on Wednesday is not known.
Sales on Monday makes up 30 % of the total sale of the three days. The number of
television sets sold on Wednesday is
A 10
B 30
C 40
D 50
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DIAGRAM 13
Monday
Tuesday
Wednesday
represents 5 units
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28 Which of the following represents the graph of 273 += xy
A B
C D
29 In Diagram 14 , is the universal set.
Set 'PQ is
A {d, e ,f, g , h}
B {d, e ,f}
C {g , h}
D {k}
14
ab d
f
g
PQ
DIAGRAM 14
27
y
3 xO
3
y
-27 xO
3
27 x
y
O
27
y
-3 xO
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31 Given a universal set , = {x : x is an integer , 2816 x } and
T= {x :x are numbers where the sum of its digits is less than 5 } . Find ( )n T
A 3
B 7
C 10
D 11
32 In Diagram 16, TVis a straight line.
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30 Diagram 15 is a Venn diagram, which shows setsJ, KandM. The universal set
= MKJ .
Which of the region, A, B, C, or D represents the set ( )J K M ?
15
J
M
K
AC
DB
DIAGRAM 15
y
x
6
k
T
V
DIAGRAM 16
O
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Given the gradient of the straight line TVis3
2 . Find the value ofk.
A 3
B 4
C 6
D 9
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33 From the following straight line equations, the straight line which is parallel to the
x-axis is
Axy =
B 2=y
C yx =
D 2=x
34A
B
C
D
35
A
B
C
D
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37A
B
CD
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A
B
C
D
38Given Svaries inversely as the square ofTand S = 36 when T =
2
1. Express Sin
terms ofT.
A 29
ST
=
B 218
ST
=
C 236
ST
=
D 272
ST
=
39A
B
CD
40
A
B
C
D17
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END OF QUESTION PAPER
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