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8/4/2019 PPT SBP 2007 - Mathematics Paper 2
1/16
50/2
Matematik
Kertas 2
Mei
2007
13
4jam
SULIT 1 50/2
SEKTOR SEKOLAH BERASRAMA PENUHKEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERTENGAHAN TAHUN SELARAS SBP
TINGKATAN 3
2007
Kertas soalan ini mengandungi 16 halaman bercetak
[Lihat sebelah
50/2 2007 Hak Cipta Sektor SBP SULIT
MATEMATIK
Kertas 2
Satu jam empat puluh lima minit
JANGAN BUKA KERTAS SOALAN INI
SEHINGGA DIBERITAHU
1. Tuliskan nama dan tingkatan anda padaruang yang disediakan
2. Kertas soalan ini adalah dalam bahasa
Inggeris
3. Kertas soalan ini mengandungi 20soalan.
4. Jawab semua soalan.
5. Jawapan hendaklah ditulis pada ruang
yang disediakan dalam kertas soalan.Kertas soalan ini hendaklah diserahkan
pada akhir peperiksaan.6. Tunjukkan langkah-langkah penting. Ini
boleh membantu anda untuk
mendapatkan markah.7. Rajah yang mengiringi soalan tidak
dilukiskan mengikut skala kecualidinyata.
8. Markah yang diperuntukkan bagi setiap
soalan ditunjukkan dalam kurungan.9. Anda tidak boleh menggunakan
kalkulator.
Guru Pemeriksa
SoalanMarkah
Penuh
Markah
Diperoleh
1 2
2 2
3 3
4 2
5 2
6 3
7 2
8 2
9 3
10 6
11 3
12 3
13 3
14 5
15 4
16 3
17 2
18 3
19 3
20 4
Jumlah
Nama : ..
Tingkatan : 3 ...
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SULIT 2 50/2
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
RELATIONS
1m n m n
a 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 = +
2
21 xx,
+
2
21 yy
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
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SULIT 3 50/2
5 Circumference of circle = 2d r =
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 cuboids = length width height
11 Volume of cylinder = 2r h
12 Volume of cone =21
3r h
13 Volume of sphere =34
3r
14 Volume of right pyramid =1
3base area height
15 Sum of interior angles of a polygon = ( 2) 180n o
16arc length angle subtended at centre
circumference of circle 360=
o
17area of sector angle subtended at centre
area of circle 360=
o
18 Scale factor, k=PA
PA
19 Area of image =2 area of objectk
[Lihat sebelah
50/2 SULIT
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ForExaminers
Use
SULIT 5 50/2
3 (a) Find the value of 364
27
(b) Calculate the value of 32 )2(163 +
[3 marks]
Answer:
(a)
(b)
4 Calculate the value of )5(38.42
1
[2 marks]
Answer:
5 In Diagram 1, in the answer space,Fis drawn on a grid of equal squares.
[Lihat sebelah
50/2 SULIT
3
3
2
4
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Use
SULIT 6 50/2
On the square grids, draw the image ofFunder a translation
2
3
[2 marks]
Answer:
6 Simplify 14223 4)6( pkpkpk .
[3 marks]
Answer:
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2
5
3
6
F
DIAGRAM 1
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ForExaminers
Use
SULIT 7 50/2
7 Diagram 2 in the answer space shows two trianglesR and S, drawn on a grid squares.
Sis the image ofR under a reflection.
On the diagram in the answer space, draw the axis of reflection.
[2 marks]
8 Simplify )21(2)1(4 2 ppp + .
[2 marks]
Answer:
[Lihat sebelah
50/2 SULIT
2
8
2
7
DIAGRAM 2
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ForExaminers
Use
SULIT 8 50/2
9 Diagram 3 shows two trapeziumsPand Q, which are drawn on a Cartesian plane. Q is the
image ofPunder a rotation.
State
a) Angle and direction of rotation.
b) Coordinates of the centre of rotation.
[3 marks]
Answer :
a)
b)
50/2 SULIT
4
9
y
DIAGRAM 3
0 2 4 6 8 10
2
4
6
8
10
x
P
Q
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ForExaminers
Use
SULIT 9 50/2
10 Set squares and protractors are not allowed for this question.
Diagram 4, shows a triangle UVW.
[6 marks]
a. (i) Using only a ruler and a pair of compasses, construct triangle UVWusing
the measurements given, beginning from the straight line UVprovided
in the answer space.
(ii) Hence, construct a perpendicular line to the straight line UVwhich passesthrough the point W.
b. Based on the diagram constructed in a (ii), measure the perpendicular distance
between point Wand the straight line UV.
Answer:
a)
b)
[Lihat sebelah
50/2 SULIT
6
10
U V
W
6 cm
60
U V
DIAGRAM 4
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ForExaminers
Use
SULIT 10 50/2
11 Diagram 5, shows a right prism.
Draw a full scale the net of the right prism on the grid in the answer space. The grid has
equal squares with sides of 1 unit.
[3 marks]
Answer:
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3 unit
4 unit
6 unit
3
11
DIAGRAM 5
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ForExaminers
Use
SULIT 11 50/2
12. Solve each of the following equations:
(a) 63=
n
(b) 237)12(5 +=+ ww
[3 marks]
Answer:
(a)
(b)
13 Find the value of 261
3
2
)23(2
[3 marks]
Answer:
[Lihat sebelah
50/2 SULIT
3
12
3
13
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ForExaminers
Use
SULIT 12 50/2
14 Diagram 6 in the answer space shows a square KLMN drawn on a grid of equal
squares with side of 1 unit.
X, YandZare three moving points in the diagram.
a. Xmoves such that it is equidistance from the straight linesKL and MN.
By using the letters in the diagram, state the locus ofX.
b. On the diagram, draw,
. the locus of point Y, such that its distance from pointR is always 4 units.ii.the locus of point Z, such that it is equidistant from the straight line KL and
LM.
c. Hence, mark all the possible positions of the intersection of the loci of the locus ofY
and the locus ofZwith symbol .[5 marks]
Answer:a)
50/2 SULIT
5
14
L
N M
Q
R
K P
S5
14
DIAGRAM 6
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SULIT 13 50/2
15 Diagram 7 is a pie chart that shows the types of fruit trees planted in Pak Dins orchard.
Given the number of rambutan trees are 72, calculate the number of langsat and durian
trees.
[4 marks]
Answer:
[Lihat sebelah
50/2 SULIT
6
15
110
Rambutan
Langsat
Durian
DIAGRAM 7
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SULIT 14 50/2
16 Given that hh 164 13 =+ . Find the value ofh.
[3 marks]
Answer:
17 75% of the 120 students of a school failed to achieve straight As in SPM result.
Calculate the number of students who achieved straight As.
[2 marks]
Answer:
18 Expresscd
c
d
c
8
32
4
52 +
as a single fraction in its simplest form.
[3 marks]
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3
16
2
17
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SULIT 15 50/2
Answer:
19 Factorise completely:
(a)4
1
2
1+e
(b) 44 2 r
[3 marks]
Answer:
(a)
(b)
20 Table 1 shows the number of blood donors in a general hospital in five days.
[Lihat sebelah
50/2 SULIT
3
19
3
18
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Use
SULIT 16 50/2
Day Number Of blood donors
Monday 3
Tuesday 6
Wednesday 10
Thursday 7
Friday 7
On Diagram 8 in the answer space provided, draw a line graph to represent all the
information in Table 1.
[4 marks]
Answer:
END OF QUESTION PAPER
50/2 SULIT
TABLE 1
4
20
Monday Tuesday Wednesday Thursday Friday
Days
Numberofb
loodd
onors
Diagram 8