Upload
lieya-ana
View
228
Download
0
Embed Size (px)
Citation preview
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 1/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
1
SEKOLAH BERASRAMA PENUH
BAHAGIAN PENGURUSAN
SEKOLAH BERASRAMA PENUH / KLUSTER
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAAN SELARAS SBP 2008 1449/1SIJIL PELAJARAN MALAYSIA
MATHEMATICS
Kertas 1
Ogos
1¼ jam 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 belakang kertas soalan ini.
Kertas soalan ini mengandungi 26 halaman bercetak.
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 2/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
2
MATHEMATICAL FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are the
ones commonly used.
RELATIONS
1 am x a
n= a
m+ n
2 am
an
= am – n
3 ( am
)n
= amn
4 A-1
=bcad
1
ac
bd
5 Distance = 2 22 1 2 1( ) ( ) x x y y
6 Midpoint, ( x, y ) =2
,2
2121 y y x x
7 Average speed =
8 Mean =
9 Mean =
10 Pythagoras Theorem
c2
= a2
+ b2
11 P ( A ) =)(
)(
Sn
An
12 P ( A ) = 1 P(A)
13 m =12
12
x x
y y
14 m =
sum of data
number of data
sum of (class mark × frequency)
sum of frequencies
y-intercept
x-intercept
distance travelled
time taken
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 3/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
3
SHAPES AND SPACE
1 Area of trapezium =2
1× sum of parallel sides × height
2 Circumference of circle = d = 2 r
3 Area of circle = r2
4 Curved surface area of cylinder = 2 rh
5 Surface area of sphere = 4 r2
6 Volume of right prism = cross sectional area × length
7 Volume of cylinder = r2h
8 Volume of cone =3
1r
2h
9 Volume of sphere =3
4r
3
10 Volume of right pyramid =3
1× base area × height
11 Sum of interior angles of a polygon = ( n – 2) × 180
12360
centreatsubtendedangle
circleof ncecircumfere
lengtharc
13360
centreatsubtendedangle
circleof area
sectorof area
14 Scale factor , k =
PA
PA'
15 Area of image = k 2
× area of object
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 4/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
4
Answer all questions.
1 Round off 0.007845 correct to three significant
A 0.008
B 0.0078
C 0.00784
D 0.00785
2 Evaluate 6.31 10-7
- 4.6 10-8
=
A 1.71 10- 8
B 1.71 10- 7
C 5.85 10- 8
D 5.85 10- 7
3 Find the value of 2
3 2
7.92 10
(4 10 )=
A 1.98 103
B 1.98 104
C 4.95 103
D 4.95 104
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 5/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
5
6 In Diagram 1, PRS and QRU are straight lines.
Find the value of x.
A 95o
B 100o
C 105o
D 110o
4 Express 23415 as a number in base 8.
A 3468
B 436 8
C 532 8
D 623 8
5 Evaluate 110102 - 11012.
A 10112
B 11012
C 100012
D 100112
40o
S
R
Q
P
T
65o
160o
xo
U
Diagram 1
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 6/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
6
8 Diagram 3 shows a circle with centre O and TPQ as a tangent to the circle at P. Given
that SRQ is a straight line.
Find the value of x.
A 20
B 30
C 40
D 50
7 In Diagram 2, PQRSUV is a regular hexagon . PUT and RST are straight lines.
Find the value x + y
A 170
o
B 180o
C 190o
D 200o
xo
V
U
T
S R
Q
P
yo
Diagram 1
S
Q
PT
R
xo
O
160o
30o
Diagram 3
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 7/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
7
9 Diagram 4 shows five quadrilaterals.
Which of the quadrilateral A, B, C or D is the image of quadrilateral P under a rotation
of 90 anticlockwise about the center (4, 0) ?
O 2 4 6 8
4
2
2
4
P
A
B
C
D
Diagram 4
6
y
x
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 8/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
8
10 Diagram 5 shows a triangle JKL.
An enlargement maps JKL onto JQR. Given that the coordinates of Q are (m, 0).Which of the following information relates correctly to the transformation?
Value of m Coordinates of point R
A 2 (2, 8)
B 1 (1, 6)
C 1 (2, 5)
D 0 (2, 6)
4 2 O 2 4
4
2
2
6
Diagram 5
J
K
L
y
x
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 9/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
9
11 In Diagram 6, O is the center of circle ABCDE .
Find the value of sin .
A 3.5
B 0.7
C 0.2
D 0.2
C
E (0.2, 0.7)
A (1, 0)
B
O
D
Diagram 6
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 10/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
10
13 Diagram 8 shows the graph of 5 n y x .
Find the value of s.
A 10
B 5
C 2
D5
2
12 Diagram 7 shows a rectangle JKLM .
Given that the ratio of LN : LM = 2 : 3. Calculate the value of cos LNJ .
A3
5
B 49
C3
5
D4
5
L M
K J
N
4 cm
9 cm
Diagram 7
(2, s)
O
y
x
Diagram 8
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 11/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
11
14 Points J and K lie on a horizontal plane. The bearing of J from K is 230 . Which of thefollowing diagram shows the positions of J and K ?
A
B
C
D
North
J
K50
North
J
K
50
North
K
50
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 12/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
12
15 Which of the following graphs represents 2 y ax c, where a and c are constants,
0a and 0c .
A
B
C
D
y
xO
y
xO
y
xO
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 13/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
13
17 Diagram 10 shows a right prism with rectangular base PQRS. Trapezium PQUT is the
uniform cross-section of the prism.
Identify the angle between the line RT and the plane TUQP.
A TRP
B RTS
C QRT
D QTR
16 Diagram 9 shows a cuboid with a horizontal base PQRS.
State the angle between the planes WQV and WSRV .
A QVRB WQS
C VQR
D WQP
W V
U T
SR
QP
Diagram 9
5 cm
12 cm
13 cm
RS
QP
W V
U T
Diagram 10
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 14/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
14
18 Diagram 11 shows Nordin observing a kite which is flying vertically above point L.The horizontal distance between him and point L is 20 m.
Given that the angle of elevation of the kite from Nordin is 15 . Find the verticalheight, h, in m, of the kite.
A 5.36
B 6.86
C 74.64
D 76.14
19 Express2
11 3(2 )
12 4
p
p pas a single fraction in its simplest form.
A 2
10 9
6
p
p
B 296 p
p
C 2
3 2
3
p
p
D 2
4 3
3
p
p
Diagram 11
h
1.5 m
L
20 m
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 15/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
15
21 Given that 2 1h k express h in the terms of k .
A4
42k
B2
22k
C2
2k
D 12 2k
22 Given that
2 7
13
h
h calculate the value of h.
A
B5
6
C 6
D 4
202 2 2( ) ( ) x y x y
A 2 xy
B2
2 y
C22 2 xy y
D 22 xy y
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 16/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
16
23 Given that 6 2 2(2 ) (4 ) x . Find the value of x.
A2
3
B4
3
C 1
D8
3
24320 32 qqq
A56q
B53q
C527q
D554q
25 List all the integers x which satisfy both the inequalities 3 2 3 9 x x and x .
A 7, 8, 9
B 6, 7, 8
C 8, 9, 10
D 5, 6, 7
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 17/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
17
26 Diagram 12 shows an incomplete line graph representing the number of car sold in thefirst six months of the year. The profit gained in March is RM 7000.00.
If the total profit for the first six months is RM45500.00, find the number of car sold in
April.
A 14B 15
C 16
D 17
Jan Feb Mar Apr May JuneMonths
20
14
10
16
Diagram 12
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 18/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
18
27 Table 1 shows the number of pencils brought by a group of students to school.
Number of pencils 1 2 3 4 5
Frequency 2 5 5 8 10
The difference between the mode and the median of the data is
A 0
B 4
C 1
D 6
28 Diagram 13 shows the universal set, , ( ) 35, ( ) 17 R S T n n S ,
( ) 9n R S and ( ) 3n S T
.
Find ( )n R T
A 17
B 18
C 21
D 26
Table 1
T
S
R
Diagram 13
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 19/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
19
30 Diagram 14 is a Venn diagram which shows the universal set P Q R .
The shaded region in the Venn Diagram represent the set
A ( ) ( )P Q Q R
B ( ) ( )P Q Q R
C ( ) ( )P Q Q R
D ( ) ( )P Q Q R
29 Diagram 13 is a Venn diagram which shows the number of element of set P, Q and R.
It is given that the universal set P Q R and ( ) ( )n Q n P R , find the value of x.
A 12
B 13
C 18
D 20
P Q R
Diagram 14
PQ
4
R
2 x
41
3
6
Diagram 13
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 20/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
20
31 In Diagram 15, PQ = 5 units and OQ = 2OR.
The equation of QR is
A1 3
2 2 y x
B3
22
y x
C 22
1 x y
D 22 x y
3Ox
y
R
P
Q
Diagram 15
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 21/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
21
32 In Diagram 16, OEFG is a parallelogram.
If the equation of the line OE is 14
y x , the y-intercept of line FG is
A 4
B 6
C 9
D 10
33 Given set M = {8, 12, 23, 39, 42, 51, 61, 73, 87}. An element is chosen at randomfrom set M . State the probability of choosing not a prime number?
A3
1
B9
4
C9
5
D3
2
y
x
Diagram 16
O
GF (4, 10)
E
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 22/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
22
34 A box contains 36 yellow marbles and a number of red marbles. A marble is picked at
random from the box. Probability of getting red marble is9
5. Another 9 red marbles
were added into the box. If a marble is picked at random from the box, what is the
probability of getting red marble?
A 1
3
B 2
5
C 3
5
D 2
3
35
82
106
2
1
87
34
A44
21
B 46
81
C05
72
D126
21
36 Given p614
3 p= 20 20 , calculate the value of p.
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 23/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
23
37 In Diagram 17 , UGRS is Greenwich Meridian. O is the centre of the earth. POQ and
UOS are the diameters of the earth.
Given PR = 3 RQ. Find the longitude of P.
A 120 W
B 120 E
C 135 W
D 135 E
A 10
B 2
C 4
D 12
38 In Diagram 18, N is the North Pole, S is the South Pole and NOS is the axis of the
earth. PRQ is the equator and NGS is Greenwich Meridian.
G
O
R
S
U
Q P
Diagram 17
N
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 24/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
24
The position of point T is
A (40 N, 80 E)
B (40 N, 100 E)
C (50 N, 80 E)
D (50 N, 100 E)
39 It is given that y varies inversely as xn
and y = 8 when x =1. Calculate the value of nwhen y = 72 and x = 3.
A 2
B 3
C 2
D 3
O
R
S
Q P
Diagram 18
G
T
80
40
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 25/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
25
END OF QUESTION PAPER
40 Table 2 shows some values of p, q, and r .
p
2
312
q 2 m
r 82
1
Table 2
Given thatr
q p
2, calculate the value of m.
A 1
B 2C 4
D 8
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 26/28
SULIT
1449/1 2008 Hak Cipta Sektor SBP [Lihat sebelah
SULIT
26
INFORMATION FOR CANDIDATES
1. This question paper consists of 40 questions.
2. Answer all questions.
3. Each question is followed by four alternative answers, A, B, C or D. For each
question, choose one answer only. Blacken your answer on the objective answer sheet
provided.
4. If you wish to change your answer, erase the blackened mark that you have done.Then blacken the space for the new answer.
5. The diagrams in the questions provided are not drawn to scale unless stated.
6. A list of formulae is provided on page 2 to 3.
7. You may use a non-programmable scientific calculator.
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 27/28
SULIT 1449/1
1449/1
Matematik
Kertas1
Peraturan
Pemarkahan
Ogos
2008
SEKOLAH BERASRAMA PENUH
BAHAGIAN PENGURUSAN
SEKOLAH BERASRAMA PENUH / KLUSTER
KEMENTERIAN PELAJARAN MALAYSIA
PERATURAN PEMARKAHAN
PEPERIKSAAN PERCUBAAN SPM SELARAS SBP
TAHUN 2008
MATEMATIK
KERTAS 1
1449/1
8/4/2019 5085341 SPM Percubaan 2008 SBP Mathematics Paper 1
http://slidepdf.com/reader/full/5085341-spm-percubaan-2008-sbp-mathematics-paper-1 28/28
QUESTION ANSWER QUESTION ANSWER
1 D 21 A
2 D 22 D
3 C 23 B
4 C 24 D
5 B 25 A
6 D 26 B
7 B 27 C
8 C 28 C
9 D 29 B
10 B 30 D
11 B 31 A
12 C 32 C
13 D 33 D
14 C 34 C
15 C 35 D
16 A 36 B
17 D 37 C
18 B 38 D
19 A 39 A
20 A 40 C