Kertas 1
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- Pages: 21
SULIT
4 Answer all questions
1
Based on the number 219.438, what is the place value of the underlined digit? A B C D
2
hundreds tens tenths hundredths
Diagram 1 shows a sequence of numbers. …, 29, 31, 37, 41, x, 47, 53, y, 61, 67, … Diagram 1 The value of y – x is A B C D
3
12 14 16 18
Sani has RM2 100. He uses
2 of this amount for personal expenses and gives 18% 3
to his mother. How much money is left now? A B C D
4
RM448 RM378 RM322 RM302
There are 15 boys in a class. The percentage of girls in the class is 20% more than the boys. The number of students in the class is A B C D
27 30 33 36 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 5
5
Diagram 2 is part of a number line.
J
H
0
–12
12
Diagram 2 The value of J – H is A B C D
6
–28 –24 –16 –12
Diagram 3(a) and 3(b) show all factors of 30 and 45. Factors of 30 2
Factors of 45
30 15
n
10
p
3
Diagram 3(a)
9
m n
15
3
m
q
Diagram 3(b)
Find the sum of p and q. A B C D
51 39 10 6
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 7
In a walking competition, Zaki walked a total of 2.75 km while Chandran walked a total of 3 km 50 m. How far behind, in m, was Zaki from Chandran? A B C D
8
6
250 300 750 975
In Diagram 4, PQV is a right-angled triangle. PST is a straight line.
Q S
P
130o
T
o
20
xo
V
Diagram 4 Find the value of x.
9
A
20
B C D
25 30 40
Alif spends 6 hours on Sunday for his revision on Mathematics, Science and English in ratio 2 : 5 : 3 respectively. Calculate the time difference between Mathematics and Science. A B C D
1 hour 12 minutes 1 hour 48 minutes 1 hour 8 minutes 1 hour 20 minutes
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 10
7
Diagram 5 shows a circle JKGL with the centre O. Given that KL = 10 cm and OH = 3 OM. G
K
L
H M
13 cm
O
J Diagram 5 Find the length, in cm, of MG. A B C D 11
4 5 9 12
In Diagram 6, EFG is a right-angled triangle. G xo H
E
80o
J Diagram 6
F
The value of x is A B C D
40 50 60 70 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 12
8
Diagram 7 shows a sector of a circle with centre O and its diameter is 21 cm. R
O
80o T
Diagram 7
Given that ∠ROT is 80o. Calculate the perimeter, in cm, of the whole diagram. (Use π = A B
C D 13
22 ) 7
57.33 72.33 102.67 123.67
On the map which is to scale 1 : 4 000, the distance between town V and town W is 3 cm. Find the actual distance, in km, between the two towns. A B C D
0.12 1.2 12 120
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 14
List all the prime numbers of x which satisfy the inequality 5 < A B C D
15
9 2x < 13. 3
11, 13, 17 7, 11, 13, 17 11, 13, 17, 19 7, 11, 13, 17, 19
Given that 2k = –3 and 4h – 6k = 1. Find the value of h. A B
C D 16
–2 1 – 2 2 1 2 2
In Diagram 8, PQR is an isosceles triangle and RSTU is a trapezium. P
T
8 cm
U 10 cm
6 cm S
R
Q 16 cm Diagram 8
Find the area, in cm2, of the whole diagram. A B C D
48 60 72 84
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 17
The point (2, 4) satisfy the function of A B C D
18
10
y = 2x + 1 y = 3x – 2 y = 3 – 2x y = 4x + 5
Diagram 9 shows a right prism. EFGH is its uniform cross section. x cm
E
F
5 cm H
G 18 cm
4 cm
Diagram 9 Given that the volume of the prism is 810 cm3. Calculate the value of x. A B C D
14 12 11 8
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 19
11
Table 1 shows the number of goals scored by a football club in each game they had played. Number of goals
0
1
2
3
4
Number of games
2
7
5
4
2
Table 1 Calculate the mean of the score per game. A B
C D 20
0.5 1.85 2.00 3.70
In Diagram 10, JKLMNOPQ is a regular octagon and RLN is a triangle. J
K
Q
L yo
P
R
M xo O
N
Diagram 10 Find the value of x + y. A B C D
21
180 90 67.5 22.5
In Diagram 11, EFGHJ is a regular pentagon and JKL is a straight line. [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT
12
F
G
L yo K
E
H xo xo J Diagram 11
Find the value of y. A B
C D
22
72 50 45 28
In Diagram 12, O is the centre of a circle QRST. PQR and ROT are straight lines. [Lihat sebelah P
50/1 © 2009 Hak Cipta SBP SULIT
SULIT
13
Q
T
150o
O
xo
R S Diagram 12 Calculate the value of x. A
B C D
30 60 120 150
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 23
14
In Diagram 13, O is the origin. M is the midpoint of OR and the distance of PN is 9 units. y
P(0, 6)
0
10 units
O
R
M
N
x
Diagram 13
Find the distance of MN. A B C D
24
3 4 5 6
Table 2 shows the rate of a courier service. Parcel weight
Rate
For a parcel not exceeding 400g First 100 g Subsequent 300 g
RM4 RM2
For a parcel exceeding 400 g First 400 g Subsequent 100 g
RM6 RM1
Table 2 Marini sent two parcels which were 200 g and 600 g respectively. Calculate the total payment of the services. A B C D
RM11 RM12 RM13 RM14 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 25
15
Diagram 14 shows a graph of function y = x2 – 2 . y
•
O
(r, 23) x
–2
Diagram 14
The value of r is A B C
D
25 23 10 5
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 26
16
In Diagram 15, STU, JKL and PTK are straight lines. P o
m
S
U
T no
J
mo
K
20o
L
70o
Diagram 15 Find the value of m + n. A B C D
27
420 375 355 225
Given that R(4, 8), S(x, 6) and T(6, y). T is the midpoint of RS. What is the possible values of x and y? A x = 5, y=7 B x = 7, y=8 C x = 8, y=7 D x = 10, y = 14
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 28
17
In Diagram 16, PQRS is a rectangle and KLM is a sector of a circle with centre K. Q
P L 10 cm
45º
S
K
R
M Diagram 16
Given that SK = KM = MR = 7 cm Calculate the area, in cm2, of the shaded region. (Use π = A B C D
29
22 ) 7
199.00 190.75 188.00 133.75
In Diagram 17, EFG is a right-angled triangle and GHJK is a square with area of 16 cm2. E
J
H
K
G
F
Diagram 17
Given that K is the midpoint of EG. EKG and FGH are straight lines. FGH =19 cm. Find the perimeter, in cm, of the whole diagram. A B C D
48 52 76 84 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 30
18
Diagram 18 is a pictogram showing the number of learner drivers who passed a driving test on a certain day at the Seberang Jaya Road Transport Department.
Desa Driving School Mutiara Driving School Murni Driving School
Diagram 18 Given that the difference between the learner drivers who passed from Desa Driving School and Mutiara Driving School is 24. What is the number of learner drivers from Murni Driving School who passed this test? A B C D 31
32 28 16 8
The following triangles are similar except A 70o 50o
B
C
50o
60o
70o 40o
D 70o
60o
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 32
19
In Diagram 19, N ′ is the image of N under an enlargement at O.
N’
.
.C
N
.D
M
.B .A
O
Diagram 19 Which of the point A, B, C or D is the image of M under the same enlargement? 33
In Diagram 20, O is the centre of the circle EFGHJ. EKOG and FKJ are straight lines. F
E
xo
K
O 110º
yo J
G 120º H
Diagram 20 Given that ∠EGH = 2∠EFJ Calculate the value of x + y. A B C
D
140 130 110 80 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 34
20
Diagram 21 shows a right pyramid with a square base KLMN. VO is the height of the pyramid. V
N
M O
K
L
Diagram 21 Given that the area of triangle VLM is 65 cm2 and KL = 10 cm. Calculate the length, in cm, of VO. A B C
D
35
13 12 10 5
A car in a formula one race, decelerated from 144 kmh-1 for a pit stop and took 2 seconds to completely stop. Calculate the acceleration of the car, in ms-2. A B C D
–2 – 12 – 20 – 72
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 36
21
Diagram 22 shows a combined solid of a cone and a cylinder.
13 cm
17 cm Diagram 22 Given that slant height of the cone is 13 cm. The radius of the base of the cylinder and the base of the cone is 5 cm. Calculate the volume, in cm3, of the solid. A B C D
37
170π 210π 425π 525π
Tasnim departed from Sungai Petani at 6.30 am and arrived at Ipoh at 9.15 am. If her average speed was 100 kmh-1, calculate, in km, the distance she travelled. A B C D
275 245 235 215
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 38
22
Diagram 23 shows the apparatus of an experiment. Metal ball
240 cm³
Container K
Container M Diagram 23
Three metal balls are dropped into container K and the water will be displaced and collected in container M. Given that the volume of each metal ball is 20.5 cm3. Calculate the percentage of the water displaced in container M. A
8.5
B
25.6
C
26.3
D
61.5
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 39
23
Diagram 24 is a line graph which shows the marks of the monthly Mathematics Test obtained by Rona. The Monthly Mathematics Marks Obtained By Rona Marks
100 X X
80
X
X
X
60
X
X
40
20
JAN
FEB
MAR Diagram 24
APR
MAY
JUN
JUL Month
What is the mode of the marks? A B C D
50 60 80 90
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 40
24
Diagram 25 is a bar chart which shows the number of form 3 students in a school. Number of students
BoysGirls
3A
3B
3C
3D
Class
Diagram 25 Given that the number of boys in 3A is 12. Calculate the total number of girls in this form. A B C D
42 48 56 64
END OF QUESTION PAPER
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
4 Answer all questions
1
Based on the number 219.438, what is the place value of the underlined digit? A B C D
2
hundreds tens tenths hundredths
Diagram 1 shows a sequence of numbers. …, 29, 31, 37, 41, x, 47, 53, y, 61, 67, … Diagram 1 The value of y – x is A B C D
3
12 14 16 18
Sani has RM2 100. He uses
2 of this amount for personal expenses and gives 18% 3
to his mother. How much money is left now? A B C D
4
RM448 RM378 RM322 RM302
There are 15 boys in a class. The percentage of girls in the class is 20% more than the boys. The number of students in the class is A B C D
27 30 33 36 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 5
5
Diagram 2 is part of a number line.
J
H
0
–12
12
Diagram 2 The value of J – H is A B C D
6
–28 –24 –16 –12
Diagram 3(a) and 3(b) show all factors of 30 and 45. Factors of 30 2
Factors of 45
30 15
n
10
p
3
Diagram 3(a)
9
m n
15
3
m
q
Diagram 3(b)
Find the sum of p and q. A B C D
51 39 10 6
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 7
In a walking competition, Zaki walked a total of 2.75 km while Chandran walked a total of 3 km 50 m. How far behind, in m, was Zaki from Chandran? A B C D
8
6
250 300 750 975
In Diagram 4, PQV is a right-angled triangle. PST is a straight line.
Q S
P
130o
T
o
20
xo
V
Diagram 4 Find the value of x.
9
A
20
B C D
25 30 40
Alif spends 6 hours on Sunday for his revision on Mathematics, Science and English in ratio 2 : 5 : 3 respectively. Calculate the time difference between Mathematics and Science. A B C D
1 hour 12 minutes 1 hour 48 minutes 1 hour 8 minutes 1 hour 20 minutes
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 10
7
Diagram 5 shows a circle JKGL with the centre O. Given that KL = 10 cm and OH = 3 OM. G
K
L
H M
13 cm
O
J Diagram 5 Find the length, in cm, of MG. A B C D 11
4 5 9 12
In Diagram 6, EFG is a right-angled triangle. G xo H
E
80o
J Diagram 6
F
The value of x is A B C D
40 50 60 70 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 12
8
Diagram 7 shows a sector of a circle with centre O and its diameter is 21 cm. R
O
80o T
Diagram 7
Given that ∠ROT is 80o. Calculate the perimeter, in cm, of the whole diagram. (Use π = A B
C D 13
22 ) 7
57.33 72.33 102.67 123.67
On the map which is to scale 1 : 4 000, the distance between town V and town W is 3 cm. Find the actual distance, in km, between the two towns. A B C D
0.12 1.2 12 120
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 14
List all the prime numbers of x which satisfy the inequality 5 < A B C D
15
9 2x < 13. 3
11, 13, 17 7, 11, 13, 17 11, 13, 17, 19 7, 11, 13, 17, 19
Given that 2k = –3 and 4h – 6k = 1. Find the value of h. A B
C D 16
–2 1 – 2 2 1 2 2
In Diagram 8, PQR is an isosceles triangle and RSTU is a trapezium. P
T
8 cm
U 10 cm
6 cm S
R
Q 16 cm Diagram 8
Find the area, in cm2, of the whole diagram. A B C D
48 60 72 84
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 17
The point (2, 4) satisfy the function of A B C D
18
10
y = 2x + 1 y = 3x – 2 y = 3 – 2x y = 4x + 5
Diagram 9 shows a right prism. EFGH is its uniform cross section. x cm
E
F
5 cm H
G 18 cm
4 cm
Diagram 9 Given that the volume of the prism is 810 cm3. Calculate the value of x. A B C D
14 12 11 8
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 19
11
Table 1 shows the number of goals scored by a football club in each game they had played. Number of goals
0
1
2
3
4
Number of games
2
7
5
4
2
Table 1 Calculate the mean of the score per game. A B
C D 20
0.5 1.85 2.00 3.70
In Diagram 10, JKLMNOPQ is a regular octagon and RLN is a triangle. J
K
Q
L yo
P
R
M xo O
N
Diagram 10 Find the value of x + y. A B C D
21
180 90 67.5 22.5
In Diagram 11, EFGHJ is a regular pentagon and JKL is a straight line. [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT
12
F
G
L yo K
E
H xo xo J Diagram 11
Find the value of y. A B
C D
22
72 50 45 28
In Diagram 12, O is the centre of a circle QRST. PQR and ROT are straight lines. [Lihat sebelah P
50/1 © 2009 Hak Cipta SBP SULIT
SULIT
13
Q
T
150o
O
xo
R S Diagram 12 Calculate the value of x. A
B C D
30 60 120 150
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 23
14
In Diagram 13, O is the origin. M is the midpoint of OR and the distance of PN is 9 units. y
P(0, 6)
0
10 units
O
R
M
N
x
Diagram 13
Find the distance of MN. A B C D
24
3 4 5 6
Table 2 shows the rate of a courier service. Parcel weight
Rate
For a parcel not exceeding 400g First 100 g Subsequent 300 g
RM4 RM2
For a parcel exceeding 400 g First 400 g Subsequent 100 g
RM6 RM1
Table 2 Marini sent two parcels which were 200 g and 600 g respectively. Calculate the total payment of the services. A B C D
RM11 RM12 RM13 RM14 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 25
15
Diagram 14 shows a graph of function y = x2 – 2 . y
•
O
(r, 23) x
–2
Diagram 14
The value of r is A B C
D
25 23 10 5
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 26
16
In Diagram 15, STU, JKL and PTK are straight lines. P o
m
S
U
T no
J
mo
K
20o
L
70o
Diagram 15 Find the value of m + n. A B C D
27
420 375 355 225
Given that R(4, 8), S(x, 6) and T(6, y). T is the midpoint of RS. What is the possible values of x and y? A x = 5, y=7 B x = 7, y=8 C x = 8, y=7 D x = 10, y = 14
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 28
17
In Diagram 16, PQRS is a rectangle and KLM is a sector of a circle with centre K. Q
P L 10 cm
45º
S
K
R
M Diagram 16
Given that SK = KM = MR = 7 cm Calculate the area, in cm2, of the shaded region. (Use π = A B C D
29
22 ) 7
199.00 190.75 188.00 133.75
In Diagram 17, EFG is a right-angled triangle and GHJK is a square with area of 16 cm2. E
J
H
K
G
F
Diagram 17
Given that K is the midpoint of EG. EKG and FGH are straight lines. FGH =19 cm. Find the perimeter, in cm, of the whole diagram. A B C D
48 52 76 84 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 30
18
Diagram 18 is a pictogram showing the number of learner drivers who passed a driving test on a certain day at the Seberang Jaya Road Transport Department.
Desa Driving School Mutiara Driving School Murni Driving School
Diagram 18 Given that the difference between the learner drivers who passed from Desa Driving School and Mutiara Driving School is 24. What is the number of learner drivers from Murni Driving School who passed this test? A B C D 31
32 28 16 8
The following triangles are similar except A 70o 50o
B
C
50o
60o
70o 40o
D 70o
60o
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 32
19
In Diagram 19, N ′ is the image of N under an enlargement at O.
N’
.
.C
N
.D
M
.B .A
O
Diagram 19 Which of the point A, B, C or D is the image of M under the same enlargement? 33
In Diagram 20, O is the centre of the circle EFGHJ. EKOG and FKJ are straight lines. F
E
xo
K
O 110º
yo J
G 120º H
Diagram 20 Given that ∠EGH = 2∠EFJ Calculate the value of x + y. A B C
D
140 130 110 80 [Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
SULIT 34
20
Diagram 21 shows a right pyramid with a square base KLMN. VO is the height of the pyramid. V
N
M O
K
L
Diagram 21 Given that the area of triangle VLM is 65 cm2 and KL = 10 cm. Calculate the length, in cm, of VO. A B C
D
35
13 12 10 5
A car in a formula one race, decelerated from 144 kmh-1 for a pit stop and took 2 seconds to completely stop. Calculate the acceleration of the car, in ms-2. A B C D
–2 – 12 – 20 – 72
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 36
21
Diagram 22 shows a combined solid of a cone and a cylinder.
13 cm
17 cm Diagram 22 Given that slant height of the cone is 13 cm. The radius of the base of the cylinder and the base of the cone is 5 cm. Calculate the volume, in cm3, of the solid. A B C D
37
170π 210π 425π 525π
Tasnim departed from Sungai Petani at 6.30 am and arrived at Ipoh at 9.15 am. If her average speed was 100 kmh-1, calculate, in km, the distance she travelled. A B C D
275 245 235 215
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 38
22
Diagram 23 shows the apparatus of an experiment. Metal ball
240 cm³
Container K
Container M Diagram 23
Three metal balls are dropped into container K and the water will be displaced and collected in container M. Given that the volume of each metal ball is 20.5 cm3. Calculate the percentage of the water displaced in container M. A
8.5
B
25.6
C
26.3
D
61.5
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 39
23
Diagram 24 is a line graph which shows the marks of the monthly Mathematics Test obtained by Rona. The Monthly Mathematics Marks Obtained By Rona Marks
100 X X
80
X
X
X
60
X
X
40
20
JAN
FEB
MAR Diagram 24
APR
MAY
JUN
JUL Month
What is the mode of the marks? A B C D
50 60 80 90
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
SULIT 40
24
Diagram 25 is a bar chart which shows the number of form 3 students in a school. Number of students
BoysGirls
3A
3B
3C
3D
Class
Diagram 25 Given that the number of boys in 3A is 12. Calculate the total number of girls in this form. A B C D
42 48 56 64
END OF QUESTION PAPER
[Lihat sebelah 50/1 © 2009 Hak Cipta SBP SULIT
