(1) The document is a mathematics exam paper consisting of 40 multiple choice questions for a Lower Secondary assessment in Perak, Malaysia. (2) It provides various formulas that may be helpful in answering the questions, covering topics like relations, shapes and space, and coordinate geometry. (3) The questions test a range of math skills including arithmetic, algebra, geometry, data analysis, and problem solving.

1. 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
50/1
Mathematics
Paper 1
July
2006
1 1/4 hours

2. 2 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
The following formulae may be helpful in answering the questions. The symbols given are the
ones commonly used.
RELATIONS
1. m
a  n
a = nm
a 
2. nmmm
aaa 

3.   mnnm
aa 
4. Distance =    2
12
2
12 yyxx 
5. Midpoint
  




 

2
,
2
, 2121 yyxx
yx
6. Average speed =
takentime
distance
7. Mean =
dataofnumber
dataofsum
8. Pythagoras Theorem
222
bac 
SHAPE AND SPACE
1. Area of rectangle = length width
2. Area of triangle = heightbase
2
1

3. Area of parallelogram = base height
4. Area of trapezium = heightsidesparallelofsum
2
1

5. Circumference of circle = rd  2
6. Area of circle = 2
r
7. Curved surface area of cylinder = rh2
8. Surface area of sphere = 2
4 r

3. 3 Learning To Score 2006 : SET 1
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[Lihat sebelah
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9. Volume of right prism = cross sectional area length
10. Volume of cuboid = length heightwidth
11. Volume of cylinder = hr2

12. Volume of cone = hr2
3
1

13. Volume of sphere = 3
3
4
r
14. Volume of right pyramid = heightareabase
3
1

15. Sum of interior angles of polygon =   
1802 n
16. 
360
centreatsubtendedangle
circleofncecircumfere
lengtharc

17. 
360
centreatsubtendedangle
circleofarea
sectorofarea

18. Scale factor, k
PA
PA'

19. Area of image = k 2
x area of object

4. 4 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
Answer all questions.
1 (24 + 35 ÷ 7) – 6 × 2 + 7 =
A 10
B 19
C 24
D 29
2 ( 12 – 7.56 ) × 2.4 ÷ 0.12 – 11.6 =
A 8150.
B 862.
C 13.58
D 77.2
3    17931  =
A 57
B 39
C 23
D 23
4 






7
3
28
5
1
14
10
1
A
7
2
2
B
5
1
1
C
105
49
1
D
49
31
1

5. 5 Learning To Score 2006 : SET 1
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50/1
5 Which of the following is the highest common factor (HCF) of 20, 40 and 120?
A 20
B 40
C 120
D 240
6 In the sequence of numbers x , 970 , 951 , 932 , y , 894 find the value of x – y .
A 76
B 19
C 19
D 76
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
A Murni Company
B Sentosa Company
C Mewah Company
D Permai Company

6. 6 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
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
5kg 5kg

7. 7 Learning To Score 2006 : SET 1
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11 In Diagram 2, PRT and QRS are straight lines.
T
R
Q
SP
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
124o 38o
xo
60o

8. 8 Learning To Score 2006 : SET 1
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[Lihat sebelah
50/1
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
yo
40o
99o
130o
V
P Q
RS
T
U
6cm
8cm
6cm
14cm
5cm

9. 9 Learning To Score 2006 : SET 1
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50/1
15 Diagram 6 shows a right prism with PQRS as its uniform cross section.
T W
P
Q R
S
U V
22cm
32cm
10cm
8cm8cm
DIAGRAM 6
Find the total surface area, in cm
2
, of the prism.
A 1376
B 1696
C 1840
D 1920
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.
DIAGRAM 7
The area, in m2
, of Bedroom 2 is
A 24
B 30
C 36
D 42
3cm
6cm
3.5cm 1cm2cm
7cm
Bedroom 1 Bedroom 2
Bedroom 3Dining & Living
Kitchen
Bathroom
2.5cm

10. 10 Learning To Score 2006 : SET 1
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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
NS R
QP
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.
A 45
B 50
C 95
D 135

11. 11 Learning To Score 2006 : SET 1
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[Lihat sebelah
50/1
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 )
DIAGRAM 10
Y

12. 12 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
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
DIAGRAM 11

13. 13 Learning To Score 2006 : SET 1
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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 < 4
C 3  x < 4
D 3 < x and x 4
30º
50º
O
P
Q R
S
x
y
-5 -4 -2 -1 0 1-3 2 3 4 5

14. 14 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
24 Fatiah bought a bag of apples for RM75. He sold x kg of the apples at RM4 per kg on
the first day. On the second day, he sold y kg of the apples at RM3 per kg.
Given that he made a profit of RM25, the equation in x and y is
A 4x + 3y = 100
B 4x + 3y = 75
C 4x + 3y = 25
D x + y = 100
25 Given that
t
t85
s


 , then t
A
5
3

B
8s
5

C
5
3
D
s8
5

26 Diagram 14 shows a rectangle PQRS. The parallelogram ABCD is removed.
DIAGRAM 14
The area, in cm², of the remaining portion is
A 442
B 440
C 434
D 424
20 cm
22 cm
30 cm
8 cm
P Q
RS
A B
CD

15. 15 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
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.
C 53.3% of members from Form 2 are female students.
D 45.5% of members from Form 3 are female students.

16. 16 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
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
A 9
B 12
C 15
D 25

17. 17 Learning To Score 2006 : SET 1
Unit Kurikulum
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[Lihat sebelah
50/1
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
80
4
4
- 2
10
6
8
- 6
x
- 4
- 2
y
S
T
U

18. 18 Learning To Score 2006 : SET 1
Unit Kurikulum
Jabatan Pelajaran Perak
[Lihat sebelah
50/1
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
Pintar llll lll
Bestari llll l
Cerdik llll llll
Bijak llll ll
TABLE 3
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
Yellow 7
Blue 12
Green 5
Red 6
TABLE 4
DIAGRAM 16
Which team does P represent ?
A Yellow Team
B Blue Team
C Green team
D Red Team
72º
P
Q
R
S

19. 19 Learning To Score 2006 : SET 1
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[Lihat sebelah
50/1
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
NJH
O

20. 20 Learning To Score 2006 : SET 1
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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
BUTTER
RM1.20
100g