Maths Form 3 Paper 1
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Transcript of Maths Form 3 Paper 1
3 SULIT
50/1 SULIT250/14SULIT
50/1
SEKTOR SEKOLAH BERASRAMA PENUH
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERTENGAHAN TAHUN SELARAS SBPTINGKATAN 3
2006
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
The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.
RELATIONS
1
2
3
EMBED Equation.DSMT4
4Distance =
5Midpoint
= ,
6Average speed =
7
8Pythagoras Theorem
SHAPE AND SPACE
1Area of rectangle = length ( width
2Area of triangle =
3Area of parallelogram =
4Area of trapezium =
5Circumference of circle =
6Area of circle =
7Curved surface area of cylinder =
8Surface area of sphere =
9Volume of right prism = cross sectional area ( length
10Volume of cuboid = length ( width ( height
11Volume of cylinder =
12Volume of cone =
13Volume of sphere =
14Volume of right pyramid = base area ( height
15Sum of interior angles of a polygon =
16
17
18Scale factor, k =
19Area of image =
Answer all questions.
, , , and are arranged on a number line in ascending order. Which of the following is the correct order?
A
B
C
D
26 is the common factor of the following pairs of numbers except
A18 and 54
B30 and 256
C144 and 180
D174 and 198
3Which of the following are pairs of prime numbers?
A51 and 101
B57 and 111
C91 and 161
D119 and 103
4Diagram 1 shows part of the addition pattern of some numbers.
1
1
1
1
2
1
1
3
3
1
1
4
6
4
1
P
Q
R
S
T
U
What is the value of P + Q + R + S + T + U ?
A14
B16
C30
D32
5Ah Seng has 3 packets of sweets. Each packet contains 327, 428 and 345 sweets respectively. If Ah Seng sells every 4 sweets at 20 sen, how much will he get if he manages to sell all the sweets?
ARM 55.00
BRM 56.80
CRM 58.00
DRM 58.80
6Alimi sold his car at a loss of 30%. If the loss is RM15 300, what is the original price of the car?
ARM35 700
BRM51 000
CRM55 000
DRM66 300
7100(10.02 0.022) =
A9.998
B99.98
C998.9
D999.8
8Diagram 2 shows a net of a solid.
Which of the following solid has this net?
ACone
BPrism
CPyramid
DTriangle
9In Diagram 3, ACD is a triangle and AB = BC.
Find the length of DC.
A9 cm
B15 cm
C16 cm
D25 cm
10In Diagram 4, NPR is a straight line and PQ = NQ.
Find the value of y.
A18
B54
C60
D72
11In Diagram 5, SWV is a triangle and STUV is a parallelogram. Given that SP = WP.
Find the value of m.
A95
B129
C146
D178
12In Diagram 6, O is the centre of a circle. WV is the perpendicular bisector of OU.
Which of the point A, B, C, and D is equidistant from O and U and is 4 cm from O ?
13In Diagram 7, JKL and MLN are straight lines.
The value of x is
A100
B110
C120
D130
14Diagram 8 shows part of a regular polygon.
Which of the following are the possible values of x?
AI only
BI and II
CI and III
DII and III
15In Diagram 9, ABC is a scalene triangle and DBC is an isosceles triangle. BCE is a straight line. Find the value of x.
A16
B34
C65
D74
16In Diagram 10, EFG is a right-angled triangle and GHJK is a square.
Find the perimeter, in cm, of the whole diagram.
A24
B32
C36
D40
17In Diagram 11, FGH is an isosceles triangle of perimeter 32 cm.
Calculate the area, in cm, of the triangle FGH.
A24
B36
C48
D60
18The volume of a cube is 512 cm. What is the surface area, in cm2, of the cube?
A64
B170
C288
D384
19
In Diagram 12, PQR is a straight line.
Find the value of x + y.
A65
B140
C170
D220
20In Diagram 13, O is the centre of circle PQRS.Find the value of x.
A30
B35
C40
D50
21In Diagram 14, PUR is the diameter of the circle PQRST.Find the value of x.
A20
B35
C40
D70
22Diagram 15 shows a circle with centre O and radius 13 cm. JKLM is a rectangle inscribed in the circle.
Calculate the area, in cm2, of the rectangle JKLM.
A120
B130
C240
D250
23Diagram 16 shows a circle, with centre S, inscribed in a semi circle PQR. POR is the diameter of the semi circle. Calculate the area, in cm2, of the shaded region.
A12.25
B14.5
C24.5
D36.75
24Diagram 17 shows the sector PQR of a circle and a right-angled triangle POS.Calculate the perimeter, in cm, of the whole diagram. (using )
A33
B50
C75
D84
Point P undergoes a translation . If the image of P is, find the values of x and y.
A
B
C
D
26Given that and . Find the value of .
A19
B13
C11
D17
27Simplify the value of .
A0
B1
C
D
28Given that the line joining the points A (a, 2a) and B (5, 4), is parallel to the x-axis. Find the value of a.
A2
B3
C4
D5
29Diagrams 18(a) and 18(b) below show the rectangle KLMN and the square PQRS respectively. Given that the perimeter of KLMN is the same as the perimeter of PQRS.
Determine the equation relating x and y.
A
B
C
D
30Diagram 19 shows a right-angled triangle EGK drawn on the Cartesian plane. Given that EK = 10 units.
Find the coordinates of point E.
A(0, 3)
B(3, 0)
C(6, 0)
D(8, 0)
31Diagram 20 below shows a circle with centre O. The ratio of the area of the minor sector POQ to the circle is 3 : 8.
Find the value of a.
A98
B120
C135
D262
32In Diagram 21, the line graph shows the monthly profit made by a printing company for the first half of the year 2005.
State the mode of the profit.
ARM50 000
BRM30 000
CJanuary
DApril
33Based on the above data, which of the statements are true?
AI and II
BI and III
CII and III
DII and IV
34 1, 2, 7, 3, p, 1 If the mean of the above set of numbers is 3, calculate the median.
A2
B2.5
C3
D3.5
35Diagram 22 shows an irregular pentagon.
Find the value of y.
A260
B245
C220
D210
36Table 1 shows the number of students who obtained Grade A and Grade B for Mathematics in PMR, in a district.Students
Grade A
Grade B
Boys
x
yGirls
400
4
Total
710
If this data is represented on a Pie chart as shown in Diagram 23, find the value of
A313
B314
C315
D316
37Diagram 24 shows the change in reading of the weighing scale after a tin of Milo was removed from it.
Calculate the mass, in grams, of a tin of margarine.
A1 350 g
B1 250 g
C1 200 g
D1 110 g
38
A
B
C
D
39Encik Nordin left Butterworth at 7.00 am, and took 1 hour and 40 minutes to reach Kangar. After finishing his business, he left Kangar at 1.10 pm. How much time did Encik Nordin spend in Kangar?
A4 hours 30 minutes
B4 hours 40 minutes
C4 hours 50 minutes
D6 hours 10 minutes
40If , then
A
B
C
D
END OF QUESTION PAPER
O
A
C
O
4 cm
DIAGRAM 1
DIAGRAM 19
O
E
G
x
K (9, 8)
y
DIAGRAM 2
DIAGRAM 17
7 cm
17 cm
P
O
Q
R
S
O
DIAGRAM 22
y
130
4x
5x
DIAGRAM 4
N
P
R
Q
y
7x
3x
DIAGRAM 10
10 cm
6 cm
E
H
J
K
G
F
25
x = 50 II. x = 45 III. x = 18
EMBED Equation.3 15 = 1
EMBED Equation.3 = 2
EMBED Equation.3 = 0.04
8 0 = 0
Profit (RM)
7x
Q
P
DIAGRAM 18(b)
S
D
W
DIAGRAM 15
10 cm
a(
M
K
J
DIAGRAM 5
m
116
65
P
85
T
V
U
W
S
DIAGRAM 24
Represents a tin of margarine
Represents a tin of Milo
5.4 kg
6.9 kg
DIAGRAM 21
Jan
Feb
50/1
Matematik
Kertas 1
Mei
2006
1 jam
Apr
May
June
July
Month
10 000
20 000
50 000
30 000
40 000
1
DIAGRAM 16
14 cm
Q
R
S
O
P
DIAGRAM 13
O
x
50
60
Q
R
P
DIAGRAM 23
5
Grade B
Grade A
TABLE 1
DIAGRAM 14
U
R
Q
S
T
P
x
35
DIAGRAM 9
A
B
E
C
100
50
124
x
DIAGRAM 20
Mar
DIAGRAM 18(a)
(2x + 1) cm
y cm
3 cm
S
P
Q
R
M
N
L
K
DIAGRAM 12
75
40
Q
P
y
x
DIAGRAM 8
x
DIAGRAM 3
B
C
D
17 cm
4 cm
A
DIAGRAM 11
G
H
R
F
12 cm
DIAGRAM 6
V
W
D
U
B
J
N
L
M
K
EMBED Equation.3
60
110
DIAGRAM 7
>>
>>
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
EMBED Equation.DSMT4
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