7/31/2019 Soalan Math Pmr k1
1/22
SULIT 50/1
SEKTOR SEKOLAH BERASRAMA PENUH
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERTENGAHAN TAHUN SELARAS SBP
TINGKATAN 3
2007
MATEMATIK
Kertas 1
Satu jam lima belas minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini adalah dalam bahasa Inggeris.
2. Kertas soalan ini mengandungi 40 soalan.
3. Jawab semua soalan.
4. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan
.
5. Bagi setiap soalan hitamkan satu ruangan sahaja.
6. Sekiranya anda hendak menukarkan jawapan, padamkan tanda yang telah dibuat. Kemudian
hitamkan jawapan yang baru.
7. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan.
8. Satu senarai rumus disediakan di halaman 2 hingga 3.
9. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.
Kertas soalan ini mengandungi 23 halaman bercetak
[Lihat sebelah
50/1 2007 Hak Cipta Sektor SBP SULIT
1
50/1
Matematik
Kertas 1Mei
20071 jam
7/31/2019 Soalan Math Pmr k1
2/22
SULIT 50/1
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
RELATIONS
1 m n m na a a + =
2 m n m na a a =
3 ( )m n mna a=
4 Distance = 2 22 1 2 1( ) ( )x x y y +
5 Midpoint
( , )x y = +
2
21 xx,
+
2
21 yy
6 Average speed =distance travelled
time taken
7sum of data
Mean = number of data
8 Pythagoras Theorem2 2 2c a b= +
SHAPE AND SPACE
1 Area of rectangle = length width
2 Area of triangle =1
base height2
3 Area of parallelogram = base height
4 Area of trapezium =1
sum of parallel sides height2
[Lihat sebelah
50/1 SULIT
2
7/31/2019 Soalan Math Pmr k1
3/22
SULIT 50/1
5 Circumference of circle = 2d r =
6 Area of circle = 2r
7 Curved surface area of cylinder = 2 rh
8 Surface area of sphere = 24 r
9 Volume of right prism = cross sectional area length
10 Volume of cuboid = length width height
11 Volume of cylinder = 2r h
12 Volume of cone = 213
r h
13 Volume of sphere =34
3r
14 Volume of right pyramid =1
3base area height
15 Sum of interior angles of a polygon = ( 2) 180n o
16arc length angle subtended at centre
circumference of circle 360=
o
17area of sector angle subtended at centre
area of circle 360=
o
18 Scale factor, k=PA
PA
19 Area of image = 2 area of objectk
[Lihat sebelah
50/1 SULITS
3
7/31/2019 Soalan Math Pmr k1
4/22
SULIT 50/1
Answerall questions.
Which of the following numbers that has digit 7 to represent the value of 70 000
A 372 468
B 427 893
C 5 721 480D 469 708
2 42 is a common multiple of 6 andp. Which of the following is a possible value ofp.
A 13
B 14
C 16
D 18
3 Table 1 shows two numbers with their prime factors.
Number Prime factors
63 3, k
90
m, 3, 5
Find the product ofkand m
A 5
B 7
C 9
D 14
4 Diagram 1 shows a sequence of numbers
[Lihat sebelah
50/1 SULIT
11
1,5,,1 4,1 7,1 9,2 0 m
DIAGRAM 1
TABLE 1
4
7/31/2019 Soalan Math Pmr k1
5/22
SULIT 50/1
The value ofm is
A 12B 11C 10D 7
5 Which of the following statements is true
A The place value of 8 in the number 74 832 is 800.
B The value of digit 3 in the number 32 481 is ten thousands.
In the number 32.45, the value of digit 5 is10
5
D 54.50 rounded off to the nearest tens is 50.00
6 Diagram 2 is an advertisement by a camera seller
If Ali pays RM 500.00 for the camera, calculate the balance he will get
A RM 90
B RM 140
C RM 160
D RM 360
7 Diagram 3 shows the number line
Which of the following is true ?
A )1(6)4( ++B )1(2)4( ++
C 1)2()4( ++D )1()6()4( ++
[Lihat sebelah
50/1 SULITS
RM 450.00
Discount 20%
DIAGRAM 2
-5 -4 -2 -1 0-3 1 2 3
DIAGRAM 3
C
5
7/31/2019 Soalan Math Pmr k1
6/22
SULIT 50/1
8 Figure 1 is drawn on a square grid.
State the fraction ofP
Qin its lowest term
A
2
1
B
3
2
C
3
1
D
2
3
9The value ofh in the equation 128.0
2
100
3
10
1=+
his
A 10
B 100
C 1 000D 10 000
[Lihat sebelah
50/1 SULIT
6
P Q
FIGURE 1
7/31/2019 Soalan Math Pmr k1
7/22
SULIT 50/1
10 In Diagram 4, PQR is an equilateral triangle and QRSis an isosceles triangle where
QR = RS.
Find the value ofy.
A 36B 45
C 48
D 60
11A factory has 175 workers.
5
3of them are female.
7
2of the male workers and 42 of
the female workers are married. How many of the workers are married?
A 50
B 62
C 112
D 117
12 In Diagram 5, PJQLR is a semicircle, with centre O and radius of 13 cm. JKL is a
straight line with length of 24 cm.
Calculate the area, in cm, of triangleJQL.
[Lihat sebelah
50/1 SULIT
P S
Q R
T
24 y
DIAGRAM 4
P
JK
L
Q
RO
DIAGRAM 5
7
7/31/2019 Soalan Math Pmr k1
8/22
SULIT 50/1
A 48
B 60
C 96
D 104
13 In Diagram 6, OPQR is a parallelogram, drawn on a Cartesian plane. Given that point
Pis )3,0( andPQ = 5 units.
The coordinates of pointR is
A )3,4( B )3,5( C )4,3(D )3,4(
14 Diagram 7 shows a hexagonPQRSTU, drawn on a Cartesian plane.
[Lihat sebelah
50/1 SULIT
P (0,3)
Q
R
O
DIAGRAM 6
x
y
8
7/31/2019 Soalan Math Pmr k1
9/22
SULIT 50/1
Among the points )3,3(),3,1(),1,0(),1,2(),2,1(),3,1( and )2,0( , how many
points lie in the hexagon?A 4
B 5
C 6
D 7
15 In Diagram 8, O is the centre of the circle EFGH. FJOHand EJG are two straight
lines.
Find the value ofx.
A 55
B 65
C 70
D 80
16 In Diagram 9,PQR andRSTare two right-angled triangles.
[Lihat sebelah
50/1 SULIT
x
y
P Q
R
ST
U
-2
-2
2
2
4
4-4
-4
DIAGRAM 7
E
F
G
H
O
Jx
110
25
DIAGRAM 8
P
Q
T
S R
13 cm
4 cm5 cm
8 cm
DIAGRAM 9
9
7/31/2019 Soalan Math Pmr k1
10/22
SULIT 50/1
Given that, SRQ is a straight line. Find the area, in cm of the whole diagram.
A 24
B 30
C 36
D 48
17 In Diagram 10,LMNPis a semicircle with centre O.KLNis a straight line.
Find the value ofy
A 115B 125
C 135
D 140
18 In diagram 11, RST is a triangle.
[Lihat sebelah
50/1 SULIT
K
L P
N
M
O
130
y
DIAGRAM 10
R
T U
V
S
W
85
40
m
DIAGRAM 11
10
7/31/2019 Soalan Math Pmr k1
11/22
SULIT 50/1
Find the value ofm
A 35
B 45
C 55
D 65
19 In Diagram 12, shows an isosceles triangle STUwith the perimeter cm)17( qp + .
Express the length ofSTin cm.
A qp 5
B qp 25 +C qp 210 D 24p+4q
20 In Diagram 13,LMNPis a straight line. Given thatLN:NP= 5 : 2.
[Lihat sebelah
50/1 SULIT
SS
T U
S
cm)37( qp +
DIAGRAM 12
U
L M PN12 cm
63 cm
DIAGRAM 13
11
7/31/2019 Soalan Math Pmr k1
12/22
SULIT 50/1
Find the length of LM in cm.
A 18
B 33
C 45
D 57
21 A thermometer immersed in ice water shows a temperature of C 7 . After an hour,
the temperature drops another C5 . What is the new temperature reading in C ?A 12B 2C 2
D 12
22 Which of the following is the shortest?
A 150 cm
B 1 m 50 cm
C 1.05 mD 1500 mm
23 In the diagram 14 JKLPis a square andLMNis a right-angled triangle.
Given that the area of the square JKLP is 25 cm and KLM is a straight line. Find the
[Lihat sebelah
50/1 SULIT
M
N
P
K L
J
12 cm
10 cm
DIAGRAM 14
12
7/31/2019 Soalan Math Pmr k1
13/22
SULIT 50/1
perimeter in cm of the whole diagram.
A 37
B 45
C 50
D 55
24 A construction worker needs to mix 2 kg of cement and 400 g of sand to 20 make
bricks. What is the total mass of cement and sand, in kilograms needed to make 80
bricks?
A 2.4
B 3.2
C 9.0
D 9.6
25 Diagram 15 is a line graph showing the number of cars sold by a salesman in 6
months.
Determine the mode number of car.
A 4
B 6
C 8
D 12
[Lihat sebelah
50/1 SULIT
July Aug Sept NovOct DecMonth
Numberof cars
2
4
0
8
10
6
12
DIAGRAM 15
13
7/31/2019 Soalan Math Pmr k1
14/22
SULIT 50/1
26 In diagram 16, J is transformed to positions I, II, and III consecutively.
The correct combinations of the transformations involved are
A Translation reflection rotation
B Translationrotation reflection
C Reflection translation rotation
D Rotation translation rotation
A test took place from 0930 hours to 1045 hours. Chong sat for the test and went out
from the exam hall 25 minutes before the test ended. Find the exact time he went out.
A 10.20 p.m
B 11.10 p.m
C 10.20 a.m
D 11.10 a.m
[Lihat sebelah
50/1 SULIT
27
14
J
I
II
III
DIAGRAM 16
7/31/2019 Soalan Math Pmr k1
15/22
SULIT 50/1
28 The diagram 17 is drawn on square grid.
Which of the triangle A, B, C and D is congruent with triangle S
29 Table 2 shows the weight of a group of police cadet in a physical fitness test. They
will fail the test if their weight is more than the median weight.
Weight in kg Number of police cadet50 3
54 5
58 3
60 6
64 3
65 1
Determine the number of them who failed the test
A 8
B 10
C 11
D 13
30 Table 3 shows the frequency of scores in a competition.
Score 1 2 3 4 5Frequency 5 3 4 x 4
[Lihat sebelah
50/1 SULIT
TABLE 2
TABLE 3
15
S
A
B
C
D
DIAGRAM 17
7/31/2019 Soalan Math Pmr k1
16/22
SULIT 50/1
If the mean score is 3. Find the value ofx.
A 5
B 7
C 22
D 31
31 Diagram 18 shows a combination of right-angled trianglePQTand trapezium QRST.
Calculate the area in cm of the whole diagram.
A 50
B 56
C 62
D 66
32 Diagram 19, shows a right prism with uniform cross sectionKLMNP.
GivenRS= ST= 3 cm.
[Lihat sebelah
50/1 SULIT
P
Q
SR
T
16 cm
5 cm 3 cm
DIAGRAM 18
DIAGRAM 19
Q
R
S
T
M
K
L
P
N
6 cm 10 cm
3 cm
5 cm
16
7/31/2019 Soalan Math Pmr k1
17/22
SULIT 50/1
Calculate the volume of the whole prism
A 105
B 115C 240
D 300
33 In diagram 20 RST is a semicircle with centre O and OTV is a right-angled triangle.
[Lihat sebelah
50/1 SULIT
R
S
T
V
O
24 cm 25 cm
DIAGRAM 20
17
7/31/2019 Soalan Math Pmr k1
18/22
SULIT 50/1
Find the perimeter in cm, of the whole diagram.
(use7
22= )
A 77
B 78
C 81
D 85
34 Given the midpoint of straight line KL is )6,4( . If the coordinates of point K is
)8,6( , find the coordinates of pointLA )20,14(B )1,1( C )20,14( D )7,5(
35 Siva does his homework every night at 8.25 p.m and finishes after 1 hour 45 minutes.
Determine the time he finishes his homework.
A 1000 hours
B 1010 hours
C 2110 hours
D 2210 hours
36 In diagram 21 KLMNP is part of a regular polygon
[Lihat sebelah
50/1 SULIT
204
K
L
M
N
P
DIAGRAM 21
18
7/31/2019 Soalan Math Pmr k1
19/22
SULIT 50/1
Find the number of sides of the regular polygon.
A 12
B 15
C 16
D 18
37 Diagram 22 is drawn on a square grid with sides of 1 unit. O is the centre of the circle.
[Lihat sebelah
50/1 SULIT
P Q
RS
O
AB
D
C
DIAGRAM 22
19
7/31/2019 Soalan Math Pmr k1
20/22
SULIT 50/1
Which of the points A, B, C and D is 3 units from O and 3 units from the line PQ?
38 In the diagram 23 OPQR is a rhombus andPSR is an arc with centre O. Given that QR
= 21 cm and = 60POR
Calculate the perimeter, in cm, of the whole diagram.
( Use7
22= )
A 110
B 152
C 174
D 196
[Lihat sebelah
50/1 SULIT
P Q
RO
21 cm
60
DIAGRAM 23
S
20
7/31/2019 Soalan Math Pmr k1
21/22
SULIT 50/1
GivenP: Q = 2 :3
2and Q :R = 6 : 5. Find the ratio ofP: Q :R
A 6 : 4 : 5
B 12 : 4 : 5
C 18 : 6 : 5
D 12 : 6 : 5
40 In diagram 24,EFG is a right-angled triangle and GHJis a sector of circle with centre
G.EGJandFGHare two straight lines.
Calculate the area, in cm, of the whole diagram.
(Use7
22= )
A 32
B 43
C 77
D 109
[Lihat sebelah
50/1 SULIT
E
G
F
H
J
8 cm
14 cm
DIAGRAM 24
39
21
7/31/2019 Soalan Math Pmr k1
22/22
SULIT 50/1
END OF QUESTION PAPER
[Lihat sebelah
22