JABATAN PELAJARAN NEGERI PERAK
_______________________
PENILAIAN MENENGAH RENDAH 2006
LEARNING TO SCORE
MATHEMATICS
Paper 1
1 hour 15 minutes
DO NOT OPEN THIS QUESTION PAPER UNLESS 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 20 printed pages.
Set
1
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The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.
RELATIONS
8. Pythagoras Theorem 2
SHAPE AND SPACE
1. Area of rectangle = length
width2. Area of triangle = base height 2
1
3. Area of parallelogram = base height
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9. Volume of right prism = cross sectional area length
10. Volume of cuboid = length widthheight
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Answer all questions.
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5 Which of the following is the highest common factor (HCF) of 20, 40 and 120?
A 20
7 Nadia has donated a sum of her money to charity. 5 1
of the amount is donated to an
orphanage while 35% is donated to the Spastic Centre. The balance of RM2250 is donated to the National Warriors Fund. Find the total sum of money donated by Nadia.
A RM1237.50 B RM2750 C RM3487.50 D RM5000
8 Table 1 shows the number of share units owned by Ahmad in four companies and the percentage of dividend for each share unit given by the companies. Each unit of share is worth RM10.
Company Number of share units
Percentage of dividend for each share unit
Murni 40 7
Sentosa 80 4
Mewah 60 6
Permai 150 2
TABLE 1
The highest dividend received by Ahmad is from
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9 Nalini travelled from Kuala Lumpur to Alor Setar. Her journey took 6 hours 20 minutes. If she reached Alor Setar at 3.00 p.m., at what time did she leave Kuala Lumpur?
A 0320 hours B 0820 hours C 0840 hours D 1520 hours
10 In Diagram 1, both scale show the mass of eight cylinders and ten cubes are equals.
DIAGRAM 1
Find the difference of mass, in gram, between a cylinder and a cube.
A 125 B 500 C 625 D 1125
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11 In Diagram 2, PRT and QRS are straight lines.
T R
Q
S P
DIAGRAM 2
Find the value of x
A 38 B 62 C 86 D 142
12 In Diagram 3, P , Q , R , S , T and U are six vertices of a regular polygon. O is the centre of the polygon. POS, QOT and ROU are straight lines.
DIAGRAM 3
The number of sides of the polygon is
A 3 B 6 C 10 D 12
124
o38
ox
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13 In Diagram 4, PQRSU is an irregular pentagon. RST is a straight line.
Q
R T
P
U
S
DIAGRAM 4
Find the value of y
A 99 B 261 C 279 D 351
14 In Diagram 5, PQRS is a rectangle, PSUT is a trapezium and QVR is a triangle.
DIAGRAM 5
Calculate the area, in cm2, of the shaded region.
A 64 B 49 C 40 D 34
y
o40
o99
o130
oV
P Q
R S
T
U
6cm
8cm
6cm
14cm
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15 Diagram 6 shows a right prism with PQRS as its uniform cross section.
16 Diagram 7 shows a scale drawing of the floor plan of a medium cost apartment. The shape of each area is a rectangle. The scale of the plan is 1 : 200. Dining & Living
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17 In Diagram 8, PQRS is a square of sides 3cm and JLN is a quadrant of a circle with centre R and radius 2cm.
O M
J N
S R
Q P
L
K
DIAGRAM 8
X is the locus of points that are at a constant distance of 2cm from R.
Y is the locus of points that are equidistant from two fixed points from points P and R. The intersections of the two loci are
A M and L B M and K C L and O D L and K
18 In Diagram 9, PQRS is a circle with centre O. TSR, PQV and SOQU are straight lines.
V U
T
40
85 b
a O
S R
Q
P
DIAGRAM 9
Find the value of a + b.
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19 In Diagram 10, RST is an isosceles triangle and XYZ is a semicircle with centre O. SYO and RXOZT are straight lines. Given that OR = OS = 12cm.
Calculate the area, in cm2, of the shaded region.
( Use
7 22
)A 67 B 72 C 82 D 144
20 If R’(3, 3) is the image of R under the translation
3
6
.
What are the coordinates of R ?
A (3, 0) B ( 3 , 0) C (9, 6 ) D (3, 6 )
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21 In Diagram 11, ST is a straight line.
Which of the following coordinates is the image of the point P under a reflection in the line ST?
A (1 , 1 ) B ( 1 , 1) C (3 , 1) D ( 1 , 3)
.
y
x 1
3
2 4
0
-1
-2
-1
-2
1 2 3 4 S
T P
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22 In Diagram 12, O is the centre of the circle.
DIAGRAM 12
SOQ is the diameter of the circle. The value of x + y , in degree, is
A 90 B 70 C 50 D 30
23 Diagram 13 represents two simultaneous linear inequalities on a number line.
DIAGRAM 13
Which of the following is represented by the above number line ?
A 3
x and x > 4 B 3 < x < 4C 3
x < 4 D 3 < x and x
430º
50º
O P
Q R
S
x
y
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26 Diagram 14 shows a rectangle PQRS. The parallelogram ABCD is removed.
DIAGRAM 14
The area, in cm², of the remaining portion is
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27 Sarah bought 56 pens of Papermates RM1.20 each and Stabilo RM0.90 each. The total cost was RM56.70.
How many Stabilo pens did she buy ?
A 21 B 28 C 35 D 42
28 Atan bought 500g of rambutans. Joshua bought half the mass of rambutans that Kim bought. They bought 3.5 kg of rambutans altogether.
How many grammes of rambutans did Joshua bought ?
A 4000 B 3000 C 2000 D 1000
29 A laser printer can print 12 960 pages per day. One day, the printer was stopped for 75 minutes to be serviced.
How many pages the printer can print on that day ?
A 12285 B 12885 C 12825 D 18225
30 Table 2 shows the members of Mathematics Society in three forms.
MEMBERS OF MATHEMATICS SOCIETY
FORM
MALE FEMALE
1 150 180
2 140 160
3 180 204
TABLE 2
Which of the following statement is true ?
A The percentage of male students from Form 2 dan Form 3 are the same. B 46.7% of members from Form 1 are male students.
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31 A box of oranges is divided into 3 packets in the ratio 3 : 5 : 8. The difference between the number of oranges in the first packet and the third packet is 15.
Calculate the number of oranges in the second packet.
A 9 B 11 C 15 D 24
32 V is the midpoint of the line joining U and W. The coordinates of U, V and W are (6, q), (p, 1) and ( 8 , 3 ) respectively. The value of p and q are likely to be
A p = 1 , q = 5 B p = 5, q = 1 C p = 1, q = 5
D p = 1 , q = 5
33 Given that the distance of the point W(8, r) from the origin is 17 units, the value of r is
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34 In Diagram 15, the points S, T and U are corners of a rhombus STUV.
DIAGRAM 15
The coordinate of point V are
A (1, 4 ) B (4, 3 ) C (4, 4 ) D (3, 4 )
6
- 4 2
2
8 0
4 4
- 2 10
6 8
- 6
x
- 4 - 2
y
S T
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35 Table 3 shows the numbers of questions that are answered correctly by four groups, Pintar, Bestari, Cerdik and Bijak in a Mathematics quiz. The group that succeeds in getting 65 marks and above qualifies to enter the next quiz.
GROUP TALLY
If the total number of questions presented is 12, which groups qualify to participate in the next quiz ?
A Pintar and Cerdik B Pintar and Bestari C Bestari and Cerdik D Bestari and Bijak
36 The mean mass of 40 members of Dynamic Club is 65 kg. A member whose mass is 72kg join the club.
Find the new mean mass, in kg, of the members.
A 68.5 B 65.2 C 56.0 D 52.5
37 Table 4 shows the number of games each team has won. Diagram 16 shows a pie chart based on Table 4.
TEAM NUMBER OF GAMES WON Which team does P represent ?
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38 Diagram 17 shows a composite solid of a cylinder and a hemisphere.
DIAGRAM 17
If the diameter and the volume of the solid are 12 cm and 864
respectively, calculate the length x, in cm, of the solid.A 20 cm B 24 cm C 26 cm D 30 cm
39 In Diagram 18, O is the centre of the circle.
DIAGRAM 18
Given that JOM and HJN are straight lines, the value of x is
A 130º
B 70º
C 50º
D 30º
x cm
120º 120º
x
K
L
M
N J
H
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40 The diagrams below show 4 different brands of butter with labels showing prices and quantities.
Which one is considered the best buy ?
A
B
C
D
END OF QUESTION PAPER BUTTER
RM7.60 500g
BUTTER RM5.70
300g
BUTTER RM2.30
200g
