1. SULIT
50/2
PENILAIAN MENENGAH RENDAH 2006
LEARNING TO SCORE
MATHEMATICS
Paper 2
I hour 45 minutes
Question
Number
Allocated
Marks
Marks
Obtained
1 2
2 2
3 3
4 2
5 2
6 2
7 3
8 3
9 2
10 4
11 2
12 3
13 3
14 3
15 5
16 3
17 3
18 6
19 3
20 4
TOTAL 60
This question paper consists of 17 printed pages.
50/2
Mathematics
Paper 2
July
2006
1
4
3
hours
JABATAN PELAJARAN PERAK
DO NOT OPEN THIS QUESTION PAPER
UNLESS TOLD TO DO SO
1. This question paper consists of 20
questions.
2. Answer all questions.
3. Write your answers clearly in the spaces
provided in the question paper.
4. Diagrams are not drawn to scale unless
stated.
5. The maximum marks allocated for each
question are shown in brackets.
NO. KAD PENGENALAN
ANGKA GILIRAN
Set 2

2. Learning To Score 2006 : SET 2
Unit Kurikulum
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2
INFORMATION FOR CANDIDATES
1. This question paper consists of 20 questions.
2. Answer all questions.
3. Write your answers clearly in the spaces provided in the question paper.
4. Show your working. It may help you to get marks.
5. If you wish to change your answer, neatly cross out the answer that you have done.
Then write down the new answer.
6. The diagrams in the questions provided are not drawn to scale unless stated.
7. The marks allocated for each question are shown in brackets.
8. A list of formulae is provided on pages 3 and 4.
9. A booklet of four-figure mathematical tables is provided.
10. Calculators are not allowed..
11. This question paper must be handed in at the end of the examination.

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3
The following formulae may be helpful in answering the questions. The symbols given are
the ones commonly used.
RELATIONS
1 m
a õ
n
a = nm
a 
2 m
a  n
a = nm
a 
3  nm
a = mn
a
4 Distance = 2
12
2
12 )()( yyxx 
5 Midpoint
(x,y) = 

 
,
2
21 xx



2
21 yy
6 Average speed = distance travelled
time taken
7 Mean = sum of data
number of data
8 Pythagoras Theorem
2
c = 2
a + 2
b
SHAPE AND SPACE
1 Area of rectangle = length x width
2 Area of triangle =
2
1
x base x height
3 Area of parallelogram = base x height
4 Area of trapezium =
2
1
x sum of parallel sides x height

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4
5 Circumference of circle = d = 2 r
6 Area of circle = r2
7 Curved surface area of cylinder = 2 rh
8 Surface area of sphere = 4 r2
9 Volume of right prism = cross sectional area õ length
10 Volume of cuboid = length x width x height
11 Volume of cylinder =  r2
h
12 Volume of cone =
3
1
 r2
h
13 Volume of sphere =
3
4
 r3
14 Volume of right pyramid =
3
1
x base area x height
15 Sum of interior angles of a polygon = (n – 2) x 180
16 arc length = angle subtended at centre
circumference of circle 360
17 area of sector = angle subtended at centre
area of circle 360
18 Scale factor, k = PA’
PA
19 Area of image = k2
x area of object

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5
Answer all questions.
1 Calculate the value of 2
4
3
 


2
4
1

5
3



and express the answer as a
fraction in its lowest term. 2 marks
Answer :
2 Calculate the value of 3
2
1
 ( ─ 1.5 )  0.8 and express the answer as a
decimal. 2 marks
Answer :
2
1
2
2

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3 (a) Find the value of
2
58
41








(b) Calculate the value of 3
64  2
3 3 marks
Answer :
(a)
(b)
4 In Diagram 1, ABCD is a rectangle and CDE is a straight line. Find the length of AB.
DIAGRAM 1
2 marks
Answer :
3
3
4
2
10 cm
A B
E CD
6 cm
15 cm

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5
DIAGRAM 2
In Diagram 2, N is the image of M under enlargement at centre P with a scale of k.
(a) On the Diagram, mark and label point P.
(b) Find the value of k.
2 marks
Answer :
(b)
5
2
y
x
M
N
-4
-2 6420
4
-4
-2
6
2

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6 Diagram 3 shows polygon ABCDEF drawn on a grid of equal squares. Shade
4
1
of the
figure ABCDEF.
2 marks
Answer :
DIAGRAM 3
E
D
C
F
B
A
6
2

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7 Diagram 4 shows a cuboid.
DIAGRAM 4
Make a full scale drawing of the net for the cuboid on the grid in the answer space.
The grid has equal squares with sides of 1 unit.
3 marks
Answer :
7
3
1 unit
4 unit
3 unit

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10
8 Table 1 shows the T-shirt size used by 30 students in a class.
TABLE 1
(a) Using the data, complete the frequency table in the answer space.
(b) State the mode.
3 marks
Answer :
(a)
T-shirt size Frequency
S
M
L
XL
(b)
9 Simplify  2
23 x   2
5x 2 marks
Answer :
8
3
9
2
S XL M M M S
XL M M S S L
M M L XL M M
S S L L M M
L XL XL M L M

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10 (a) Solve the inequality x 5 ≤ 3
(b) List all the integer values of x which satisfy the inequalities
x42  < 10 and x ≤ 4 +
5
x
4 marks
Answer :
(a)
(b)
11 Find the value of 8 3
2
 3
1
[2 marks]
Answer:
12. Simplify 2  23 
nm ÷ 5 46 
nm × mn [3 marks]
Answer:
2
11
3
12
4
10

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13. Given that r =
t
s
2
5 
. Express s in terms of r and t . [3 marks]
Answer:
14. Solve each of the following equations:
(a)
5
10 p
= 3
(b)
5
4






 x
2
5
25 = x2 [3 marks]
Answer:
(a)
(b)
3
13
3
14

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15. Diagram 5 in the answer space shows a square, TUVW. Point O is the point of
intersection of diagonals TV and UW. MON is a straight line. X and Y are two points
moving inside the diagram.
On the diagram,
(a) construct the locus of X such that XM = XN.
(b) (i) construct the locus Y given that OY = 2.5 cm
(ii) mark with the symbol  all the intersections of the locus of X and the locus
of Y.
[5 marks]
Answer:
DIAGRAM 5
5
15
T U
VW
N
M
O

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16. Factorise completely:
(a) 2
9m  1
(b) 2
263 qpqqp  [3 marks]
Answer:
(a)
(b)
17. Express
n
m
2

mn
m
8
124 2

as a single fraction in its simplest form.
[3 marks]
Answer:
3
16
3
17

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18. Set squares and protractors are not allowed for this question.
DIAGRAM 6
Diagram 6 shows a trapezium PRST and Q is a point on PR.
a) Start with the line TS given in the answer space, construct
(i) the trapezium PRST
(ii) the perpendicular line TQ from T to the line PR, with Q being on the line PR,
as shown in Diagram 6.
b) Based on the diagram constructed, measure the length of PT.
[6 marks]
Answer: (a) (i),(ii)
(b)
6
18
ST
T S
RQP
120

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19. Table 2 shows the number of gold medals won by four sports houses in a school.
Sports Houses Number of Gold Medals
Alpha 20
Beta x
Gamma 9
Sigma 18
TABLE 2
(a) Based on the bar chart in the answer space below, state the value of x.
(b) Complete the bar chart to represent all the information given in the Table 2.
[3 marks]
Answer:
(a)
(b)
3
19
Number of gold medals
Sports Houses
Alpha Beta
10
SigmaGamma
6
4
2
8
20
18
16
14
12

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20. Use the graph paper provided to answer this question.
Table 3 shows the values of two variables, x and y, of a function.
x - 4 -3 -2 -1 0 1 2
y 15 4 -3 -6 -5 0 9
TABLE 3
Draw the graph of the function using a scale of 2 cm to 1 unit on the x-axis and
2 cm to 5 unit on the y-axis.
[4 marks]
END OF QUESTION PAPER