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1SULIT
BAHAGIAN PENGURUSANSEKOLAH BERASRAMA PENUH& SEKOLAH KLUSTER
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAANPENILAIAN MENENGAH RENDAH 2009 50/2MATEMATIKKertas 2
Ogos 2009
14
3 jam Satu jam empat puluh lima minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
Kertas soalan ini mengandungi 17 halaman bercetak
Untuk Kegunaan Pemeriksa
Kod Pemeriksa:
SoalanMarkahPenuh
MarkahDiperoleh
1 22 23 34 35 36 37 38 29 5
10 511 212 2
13 214 315 316 317 418 319 320 4
Jumlah
1. Tuliskan nama dan tingkatan anda pada ruang yang disediakan .
2. Kertas soalan ini adalah dalam bahasa Inggeris .
3. Kertas soalan ini mengandungi 20 soalan .
4. Jawab semua soalan .
5. Jawapan anda hendaklah ditulis pada ruang yangdisediakan dalam kertas soalan ini.
6. Tunjukkan langkah-langkah penting dalam kerjamengira anda. Ini boleh membantu untuk mendapatkan markah.
7. Jika anda hendak menukar jawapan, batalkan jawapan yang telah dibuat. Kemudian tulis jawapan yang baru.
8. Rajah yang mengiringi soalan tidak dilukismengikut skala kecuali dinyatakan.
9. Markah yang diperuntukkan bagi setiap soalanditunjukkan dalam kurungan.
10. Penggunaan kalkulator tidak di- benarkan.
11. Serahkan kertas soalan ini kepada pengawas peperiksaan pada akhir peperiksaan.
Nama: Tingkatan:
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[Lihat sebelah50/2 2009 Hak Cipta SBP SULIT
The following formulae may be helpful in answering the questions. The symbols given are the onescommonly used.
RELATIONS
1 m n m na a a
2 m n m na a a
3 ( )m n mna a
4 Distance = 2 22 1 2 1( ) ( ) x x y y
5 Midpoint
( , ) x y =
221 x x ,
221 y y
6 Average speed =distance travelled
time taken
7sum of data
Mean = number of data
8 Pythagoras Theorem2 2 2c a b
SHAPE AND SPACE
1 Area of rectangle = length width
2 Area of triangle =1
base height2
3 Area of parallelogram = base height
4 Area of trapezium =1
sum of parallel sides height2
5 Circumference of circle = 2d r
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6 Area of circle = 2r
7 Curved surface area of cylinder = 2 rh
8 Surface area of sphere = 24 r
9 Volume of right prism = cross sectional area length
10 Volume of cuboid = length width height
11 Volume of cylinder = 2r h
12 Volume of cone = 213
r h
13 Volume of sphere = 343
r
14 Volume of right pyramid =13
base area height
15 Sum of interior angles of a polygon = ( 2) 180n
16arc length angle subtended at centre
circumference of circle 360
17area of sector angle subtended at centrearea of circle 360
18 Scale factor, k =PAPA
19 Area of image = 2 area of objectk
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SULIT 50/2
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4
Answer all questions
1 Calculate the value of 48 3 117[2 marks ]
Answer :
2 Calculate the value of 2.052148.0
[2 marks ]
Answer :
3 (a) Find the value of 169
1
(b) Calculate the value of 23 1008.0[3 marks ]
Answer :
(a)
(b)
1
2
For Examiners
Use
2
2
3
3 www.tutormuruli.blogspot.com
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5
4 (a) Expand
k w43
632
(b) Simplify ( 2 x 3 )( 3 x + 2 ) x( 3x 3 )
[3 marks ] Answer :
(a)
(b)
5 Factorise completely
(a) 5gh 10g2h2
(b) p + pq 2 2q
[3 marks ]
Answer :
(a)
(b)
5
For Examine
Use
4
3
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For Examiners
Use6 Express
hhh
22
23 2
as a single fraction in its simplest form.
[3 marks ] Answer :
7 Solve each of the following equations:
(a) e = 7 e
(b) 3( a + 3 ) = a 5[3 marks ]
Answer :
(a)
(b)
8 Givena
cbb
2. Express b in terms of a and c. [2 marks ]
Answer:
6
3
7
3
8
2www.tutormuruli.blogspot.com
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7F
ExamU9 Diagram 9 shows a quadrilateral ABCD .
[5 marks ]
Using only a ruler and a pair of compasses, construct Diagram 1 beginning from thediagram provided in the answer space.
Based on the diagram constructed, measure the length, in cm, of CD .
Answer:
CD = .
9
45o
7 cm
D
A
C
120 o
B
Diagram 9
AB
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50/2 2009 Hak Cipta SBP
8
For Examiners
Use
10 Diagram 10 in the answer space shows a rectangle PQRS.
K, L, M and N are midpoints of PQ, QR, RS and PS respectively. X, Y and Z are three
moving points in the diagram.
(a) X is the point which moves such that it is equidistant from PQ and SR. By using
the letters in the diagram, state the locus of X.(b) On the diagram, draw
(i) the locus of the point Y which moves such that its distance is constantly
4 cm from point K .
(ii) the locus of the point Z which moves such that it is equidistant from
straight lines PQ and PS.
(c) Hence mark with the symbol the intersections of the locus of Y and the
locus of Z.
[5 marks ] Answer :
(a)
(b) (i), (ii)
10
5
Diagram 10
Q
O
P
N
R
L
K
S M
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9 Fo Exami
Us
11 Diagram 11 in the answer space shows a quadrilateral R drawn on a square grid.
Draw the image of the quadrilateral R under a translation .3
5
[2 marks ]
11
Diagram 11
R
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50/2 2009 Hak Cipta SBP
10For
ExaminersUse 12 Diagram 12 in the answer space shows two triangles drawn on a grid of equal squares.
S is the image of S under an enlargement.
Diagram 12
[2 marks ]State(a) the centre of the enlargement.(b) the scale factor of the enlargement.
Answer :
(a)
(b)
12
2
S
S
6420
2
108
4
-2
-2
x
10
8
6
y
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SULIT 50/2
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50/2 2009 Hak Cipta SBP
11For
ExamineUse13 . Diagram 13 shows a polygon.
Diagram 13
On the grid in the answer space, redraw the polygon using the scale 1 : 400. The
grid has equal squares with side of 1 cm.[2 marks ]
Answer :
13
2
32 m
28 m
24 m
12 m
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50/2 2009 Hak Cipta SBP
12For
ExaminersUse
14 . Find the value of 21
21
205
[3 marks ]
Answer :
15 Given that 3 x = 3327 x
Calculate the value of x [3 marks ]
Answer :
16 Given 3 > 2 p and 432
p
Solve the simultaneous linear inequalities above and represent the common values of p
which satisfy both the inequalities on a number line.
[3 marks ]
Answer :
14
3
15
3
16
3
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SULIT 50/2
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50/2 2009 Hak Cipta SBP
13 For Examine
Use
17 Table 17 shows the sale of books at Kedai Buku Utara over 5 months.
On Diagram 17 in the answer space, complete the scale and draw a line graph torepresent all the information in Table 17.
[4 marks ]
Answer :
Jan Feb Mar Apr May
Month Jan Feb Mar Apr May
Number of books sold 800 2 400 2 600 2 200 3 000
17
3000
Number of books sold
MonthDiagram 17
Table 17
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SULIT 50/2
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50/2 2009 Hak Cipta SBP
14For
ExaminersUse 18 In Diagram 18, PQR and RST are right-angled triangles.
[3 marks ]
Given that cos xo =53
and RT =23
PR .
(a) Find the length, in cm, of ST .
(b) Tan yo.
Answer :
(a)
(b)
18
3
yo
xo
10 cm
RP
Q
S
T
Diagram 18
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50/2 2009 Hak Cipta SBP
15For
ExaminerUse19 Diagram 19 is a pie chart which shows the sale of 4 types of cars in a month. Given
that the number of car C sold is twice the number of car B.
Diagram 19
(a) State the value of angle D
(b) By using the data from the pie chart, complete Table 19.
[3 marks ]
Answer :
(a)
(b)
Table 19
Type of car A B C
Number of cars sold 60
19
3
75o
B
C
30o
D
A
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SULIT 50/2
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16For
ExaminersUse
20 Use the graph paper provided to answer this question .
Table 20 shows the values of two variables, x and y of a function.
x 3 2 1 0 1 2
y 7 0 5 8 9 8
Table 20
(a ) By using the scale of 1 cm to 1 unit on the y-axis, complete and label the y-axis.
(b) Based on Table 20, plot the points on the graph paper.
(c) Hence, draw the graph of the function.
[4 marks ]
20
4
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