50/1 Mathematics Paper 1 Ogos 2006 1 1/4 hours JABATAN PELAJARAN NEGERI PERAK
Set
3
_______________________ PENILAIAN MENENGAH RENDAH 2006 LEARNING TO SCORE
MATHEMATICS Paper 1 1 hour 15 minutes
DO NOT OPEN THE QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO
1. This question paper consists of 40 questions. 2. Answer all 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 made. Then blacken the space for your new answer. 6. The diagrams in the questions provided are not drawn to scale unless stated. 7. You may use a non-programmable scientific calculator.
This question paper consists 18 printed pages.
-2Learning To Score 2006: SET 3
INFORMATION FOR CANDIDATES
1. This question paper consists of 40 questions. 2. Answer all 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 new answer. 6. The diagrams provided in the questions provided are not drawn to scale unless stated. 7. A list of formulae is provided. 8. You may use a non- programmable scientific calculator.
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
50/1
-3Learning To Score 2006: SET 3
The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.
m
a =a n
1.
a
2.
a m a m a mn
3.
a
4.
Distance=
5.
Midpoint x, y x1 x2 , y1 y2 2 2 distance Average speed= time taken
6.
m n
RELATIONS
m n
a mn
x2 x1 2 y2 y1 2
sum of data number of data
7.
Mean=
8.
Pythagoras Theorem c 2 a 2 b2 SHAPE AND SPACE
1.
Area of rectangle= length width
2.
1 Area of triangle= base height 2
3.
Area of parallelogram= base height
4.
1 Area of trapezium = sum of parallel sides height 2
5.
Circumference of circle= d 2r
6.
Area of circle= r 2
7.
Curved surface area of cylinder= 2rh
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-4Learning To Score 2006: SET 3
8.
Surface area of sphere= 4r 2
9.
Volume of right prism=cross sectional area length
10.
Volume of cuboid= length width height
11.
Volume of cylinder= r 2 h
12. 13.
1 Volume of cone= r 2h 3 4 Volume of sphere= r 3 3
14.
1 Volume of right pyramid= base area height 3
15.
Sum of interior angles of polygon= n 2 180
16.
arc length angle subtended at centre circumfere nce of circle 360
17.
area of sector angle subtended at centre area of circle 360
18.
PA' Scale factor, k PA
19.
Area of image = k 2 area of object
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
50/1
-5Learning To Score 2006: SET 3
Answer all questions 1. Diagram 1 is a number line. -12
A
0
B
9
DIAGRAM 1 Which of the following is the value of A + B A
–21
B
–12
C
-9
D
-6
2 State all the prime factor of 105. A
5, 7
B
5, 13
C
3, 5, 7
D
3, 5, 13
3 Find the highest common factor (HCF) of 9, 18 and 27 A
54
B
36
C
27
D
18
4 The prime number between 90 and 100 is/are … A
91, 93, 95, and 97
B
91, 95 and 97
C
93 and 97
D
97
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-6Learning To Score 2006: SET 3 5
6
Parit Buntar Bottle Factory operates six days a week. The factory produces 2500 bottles per day. In a particular week, 216 bottles are found cracked. How many of the bottles produced in that week are not cracked. A
15 000
B
14 784
C
13 704
D
1 296
Aziz spends 80% of his monthly salary on household expenditure. He spends RM 32 400 on household expenditure in one year. He receives the same amount of salary every month for that year. What is his monthly salary A RM 1 125 B RM 3 375 C RM 4 500 D RM 6 000
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-7Learning To Score 2006: SET 3
7
In diagram 2, PQRS, YXWV and WUT are straight line. S
R
ko
T o
l
U
Q P jo
55o Y
mo X
W
V
Diagram 2 Find the value of j + k + l + m A
485º
B
305º
C
180º
D
125º
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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-8Learning To Score 2006: SET 3 8
Diagram 4 shows a triangle QRS and PQR is a straight line S
17cm
P
5cm
Q
10cm
R
Diagram 4 Calculate the area, in cm square, of triangle QRS. A
127.5
B
85
C
60
D
40
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-9Learning To Score 2006: SET 3 9 Diagram 3 shows a cone
Diagram 3 Which of the following is the net of the cone
A
C
B
D
Diagram 4
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- 10 Learning To Score 2006: SET 3 10
In Diagram 5, PQRS is a quadrilateral and RST is a straight line T
100o
S R
115o yo 85o Q
Diagram 5 Find the value of y A
80
B
70
C
60
D
50
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- 11 Learning To Score 2006: SET 3 11 In diagram 6, PQR ia an isosceles triangle, QST is a right angle triangle and QRS is a straight line.
T P 50º yº
xº xº Q
R
S
Diagram 6 Find the value of x + y
12
A
40
B
60
C
80
D
100
In Diagram 7 PQRS is a rectangular, PADTS and QCTDR are two quadrants of circle with centre S and R respectively. PTDR is a straight line.
Q
9cm
P •A
•B 5 cm
•C S
T
•D
R
Diagram 7 Which of the point A, B,C and D, equal 5 cm from S and more than 5 cm from R.
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- 12 Learning To Score 2006: SET 3 13
In Diagram 8, PQ, RS, TU, VW, and XY are straight lines P
U ao bo
R co
S
do Y
T ho
V
eo go
X
fo
W
Q
Diagram 8 Which of the following is the same value as d + e ?. A b + f
14
B
a + g
C
d + h
D
g + c
In Diagram 9 , P,Q, R, S, and T are vertices of a 10 sides regular poligon.
xo
Diagram 9 Find the value of x. A
36
B
44
C
54
D
108
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- 13 Learning To Score 2006: SET 3 15
In Diagram 10, ABCDE is a regular poligon and ABF is an equalateral triangle.
D
F
E
C
xº
A
B Diagram 10
Find the value of x.
16
A
108
B
48
C
60
D
12
In Diagram 11,UVWT PW = WT = TS. P
is a square and PQSW is a rectangle. WTSR is a straight line and Q
8 cm T
R
W
S
V
23 cm
U
Diagram 11 Find the perimeter, in cm, of the whole diagram. A
96
B
88
C
71
D
31
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 14 Learning To Score 2006: SET 3
17
Diagram 12 shows a kite.
17 cm
10 cm
6 cm
Diagram 12 Calculate the area, in cm², of the kite. A
1020
B
168
C
144
D
115
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- 15 Learning To Score 2006: SET 3 18
Diagram 13 shows a mug.
6cm 6cm 4cm
12cm
Diagram 13 The volume of water that is needed to fill this mug, which the height is 6 cm is A B C D
64 ð
72 ð
152 ð 216 ð
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- 16 Learning To Score 2006: SET 3 19
Diagram 14 shows a right pyramid with a rectangular base 6cm by 8cm. Its volume is 3
192 cm . V
G
Diagram 14 The slant height VG of this pyramid, in cm is… A 15
20
B
14
C
13
D
12
In Diagram 15, PQRS is a circle with centre O.
Q P
15o O R y
o
S
Diagram 15 Find the value of y A
30
B
75
C
90
D
105
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 17 Learning To Score 2006: SET 3 21 In diagram 16, PQRS is a circle with centre 0 and PST is a straight line
.
.
. Q xo
R
O 100o P
80o S
T
Diagram 16 Find the value of x. A.
10
B.
30
C.
40
D.
50
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
50/1
- 18 Learning To Score 2006: SET 3 22
In diagram 17 , O is the centre of the circle. MPN and POQ are straight line.
M
P
O
Q
N Diagram 17 The length of PO is 3 cm, and length of POQ is 8 cm. Calculate the length, in cm, of MPN.
23
A
4
B
6
C
8
D
10
In the diagram 18, PQR is a straight line and PQS is a quadrant of a circle with centre Q
S
P
Q
4cm
R
Diagram 18 The area of triangle QRS is 14 cm². Calculate the area, in cm², of quadrant PQS. (Use ð =
22 7
A
11
B
19.25
C
38.5
D
154
)
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 19 Learning To Score 2006: SET 3 24
In Diagram 19, PQR is an arc of a circle with centre O.
T R 8 cm
S
P
O Q Diagram 19
The radius of the circle is 7 cm and PT = 2 TS. Calculate the perimeter, in cm, of the whole diagram. (Use ð =
25
A.
33
B.
47
C.
49
D.
63
22 7
)
In Diagram 20, PQ'R'S'T'U' is the image of PQRSTU under an enlargement. P
.
Q
.
U
TT
Q'
R R
SS
U'
R'
T'
S'
Diagram 20 It is given that area of hexagon PQRSTU is 6cm² and scale factor of the enlargement is 3. Calculate the area, in cm², of the hexagon PQ' R' S' T' U'. A. 18 B.
36
C.
54
D.
62
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
50/1
- 20 Learning To Score 2006: SET 3 26
Table 1 show the numbers of tins collected by a group of students. Numbers of tins Frequency
10
15
20
25
30
3
4
6
4
3
Table 1 Calculate the mean numbers of tins collected by student.
27
A.
15
B.
16
C.
19
D.
20
Solve the inequalities for 6 – 2x ≤ 10 A. B. C. D.
x ≤ -4 x ≤ -2 x ≥ -2 x ≥ -4
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
50/1
- 21 Learning To Score 2006: SET 3 28
In Diagram 21, Y is the midpoint of the straight line XYZ
y X (-2, k)
•
•
Y (2, 3)
0
x • Z (6, -4)
Diagram 21 Find the value of k
29
A.
6
B.
8
C.
10
D.
-6
Given that x + y = -6 and 4x – y = -4. Calculate the value of x A.
-2
B.
2
C.
5
D.
10
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 22 Learning To Score 2006: SET 3 30
In Diagram 22, show two point, K and L, on a cartesian plane
y 8
L
6 4
K
2
0
2
4
6
8
10
x
Diagram 22 Calculate the distance between the point K and the point L. A. B. C. D. 31
√10 √36 √64
√100
Given that x : Y = 3 : 5 , Calculate the value of x if y = 25 A.
3
B.
5
C.
15
D.
18
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50/1
- 23 Learning To Score 2006: SET 3 32
Table 2 shows a number of goal scored by a football team in a league competition Number of goals
0
1
2
3
4
5
Frequancy
2
5
6
x
4
3
Table 2 The mode of the number of goals scored by the team is 2, Find the possible value of x.
33
A.
5
B.
6
C.
7
D.
8
Which of the following graphs represent y = x - 3
y A
y
C
3 -3
x -3
0
x
-3
B
y
D
y
3 0 0
3
3
x
x -3
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 24 Learning To Score 2006: SET 3 34
Table 3 shows the frequancy score in a competition. Score
0
1
2
3
4
Numbers of students
4
5
7
2
2
Table 3 The median for the data is
35
A.
1
B.
2
C.
3
D.
4
500 books were divided among three schools X, Y and Z in the ratio of 1 : 4 : 5. Schools Y gave 100 books to school X and 50 books to schools Z. The ratio of the books received by three schools is A.
2 : 2 : 7
B.
3 : 2 : 6
C.
2 : 3 : 5
D.
3 : 1 : 6
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 25 Learning To Score 2006: SET 3 36
Diagram 23 is a bar chat which shows the numbers of students in SMK Bagan Serai who scored the grade A in all subjects taken in the PMR examnination for three years.
Number of students Y
12 10 8 6 4
2 X
0 2004
2003
YEAR
2005
Girls Boys Diagram 23 Calculate the difference between the total numbers of boys and the total number of the grils over the three years. A.
2
B.
4
C.
7
D.
9
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 26 Learning To Score 2006: SET 3 37
Diagram 24 show three packs of juice K, L, and M. Each pack has a different mass and different price.
K 100ml RM 0.90
L 150ml RM 1.20
M 200ml RM 1.60
Diagram 24 Kamal calculated the price per ml for each pack. Which of the following statements is true?
38
39
A.
K is cheaper than L
B.
L is cheaper than M
C.
L is cheaper than K
D.
M is cheaper than L
Given a function y = x² - 2x + 3, Calculate the value of y when x = -3 A.
-12
B.
0
C.
6
D.
18
The distance from Parit Buntar to Ipoh is 120 Km. Khairul leaves Parit Buntar at 1245 hour. He drives his car at average speed 80 km per hour. At what time, in 24-hour system, does he arrive in Ipoh. A
0115
B
1315
C
0215
D
1415
Unit Kurikulum Jabatan Pelajaran Perak Lihat sebelah
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- 27 Learning To Score 2006: SET 3
40
Diagram 25 shows a circle with centre O. The length of minor arc AB is 12.1cm.
A 12.1cm
77o O
B
Diagram 25 Calculate the radius, in cm, of the circle. A
7
B
8
C
9
D
10
END OF QUESTION PAPER
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