SULIT
[Lihat sebelah
50/1 © 2009 Hak Cipta SBP SULIT
BAHAGIAN PENGURUSAN
SEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAAN PMR 2009 50/1
MATEMATIK
Kertas 1
Ogos 2009
14
1jam Satu jam lima belas minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini adalah dalam bahasa Inggeris.2. Kertas soalan ini mengandungi 40 soalan.3. Jawab semua soalan.4. Tiap-tiap soalan diikuti oleh empat pilihan jawapan, iaitu A, B, C dan D. Bagi setiap
soalan, pilih satu jawapan sahaja. Hitamkan jawapan anda pada kertas jawapan objektifyang disediakan.
5. Jika anda hendak menukar jawapan, padamkan tanda yang telah dibuat. Kemudian hitamkanjawapan yang baru.
6. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan.7. Satu senarai rumus disediakan di halaman 2 hingga 3.8. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.
Kertas soalan ini mengandungi 24 halaman bercetak
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2
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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 2
2 1 2 1( ) ( )x x y y
5 Midpoint
( , )x y =
221 xx
,
221 yy
6 Average speed =distance travelled
time taken
7sum of data
Mean =number of data
8 Pythagoras Theorem
2 2 2c a b
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3
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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
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 = 21
3r h
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4
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50/1 © 2009 Hak Cipta SBP SULIT
13 Volume of sphere = 34
3r
14 Volume of right pyramid =1
3 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 centre
area of circle 360
18 Scale factor, k =PA
PA
19 Area of image = 2 area of objectk
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SULIT 4
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Answer all questions
1 Based on the number 219.438, what is the place value of the underlined digit?
A hundreds
B tens
C tenths
D hundredths
2 Diagram 1 shows a sequence of numbers.
Diagram 1
The value of y – x is
A 12
B 14
C 16
D 18
3 Sani has RM2 100. He uses3
2of this amount for personal expenses and gives 18%
to his mother.
How much money is left now?
A RM448
B RM378
C RM322
D RM302
4 There are 15 boys in a class. The percentage of girls in the class is 20% more thanthe boys. The number of students in the class is
A 27
B 30
C 33
D 36
…, 29, 31, 37, 41, x, 47, 53, y, 61, 67, …
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SULIT 5
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5 Diagram 2 is part of a number line.
Diagram 2
The value of J – H is
A –28
B –24
C –16
D –12
6 Diagram 3(a) and 3(b) show all factors of 30 and 45.
Factors of 30 Factors of 45
Diagram 3(a) Diagram 3(b)
Find the sum of p and q.
A 51
B 39
C 10
D 6
HJ –12 0 12
15
9
3
15
10
30
q
n
m
n
m
p 3
2
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SULIT 6
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7 In a walking competition, Zaki walked a total of 2.75 km while Chandran walked atotal of 3 km 50 m. How far behind, in m, was Zaki from Chandran?
A 250
B 300
C 750
D 975
8 In Diagram 4, PQV is a right-angled triangle. PST is a straight line.
Diagram 4
Find the value of x.
A 20
B 25
C 30
D 40
9 Alif spends 6 hours on Sunday for his revision on Mathematics, Science andEnglish in ratio 2 : 5 : 3 respectively.
Calculate the time difference between Mathematics and Science.
A 1 hour 12 minutes
B 1 hour 48 minutes
C 1 hour 8 minutes
D 1 hour 20 minutes
20o
xo
130o
P
Q
V
ST
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SULIT 7
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10 Diagram 5 shows a circle JKGL with the centre O. Given that KL = 10 cm andOH = 3 OM.
Diagram 5
Find the length, in cm, of MG.
A 4
B 5
C 9
D 12
11 In Diagram 6, EFG is a right-angled triangle.
Diagram 6
The value of x is
A 40
B 50
C 60
D 70
F
H
G
80o
xo
E J
J
LH
M
O
GK
13 cm
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SULIT 8
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12 Diagram 7 shows a sector of a circle with centre O and its diameter is 21 cm.
Diagram 7
Given that ROT is 80o.
Calculate the perimeter, in cm, of the whole diagram.
(Use7
22 )
A 57.33
B 72.33
C 102.67
D 123.67
13 On the map which is to scale 1 : 4 000, the distance between town V and town W is3 cm. Find the actual distance, in km, between the two towns.
A 0.12
B 1.2
C 12
D 120
80o
O
R
T
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SULIT 9
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14 List all the prime numbers of x which satisfy the inequality 5 <3
2x< 13.
A 11, 13, 17
B 7, 11, 13, 17
C 11, 13, 17, 19
D 7, 11, 13, 17, 19
15 Given that 2k = –3 and 4h – 6k = 1.
Find the value of h.
A – 2
B –2
1
C 2
D 22
1
16 In Diagram 8, PQR is an isosceles triangle and RSTU is a trapezium.
Diagram 8
Find the area, in cm2, of the whole diagram.
A 48
B 60
C 72
D 84
6 cm
16 cm
10 cm
S R Q
T U
P
8 cm
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SULIT 10
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17 The point (2, 4) satisfy the function of
A y = 2x + 1
B y = 3x – 2
C y = 3 – 2x
D y = 4x + 5
18 Diagram 9 shows a right prism. EFGH is its uniform cross section.
Diagram 9
Given that the volume of the prism is 810 cm3.
Calculate the value of x.
A 14
B 12
C 11
D 8
x cm
18 cm
4 cm
E F
GH
5 cm
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SULIT 11
[Lihat sebelah50/1 © 2009 Hak Cipta SBP SULIT
19 Table 1 shows the number of goals scored by a football club in each game they hadplayed.
Table 1
Calculate the mean of the score per game.
A 0.5
B 1.85
C 2.00
D 3.70
20 In Diagram 10, JKLMNOPQ is a regular octagon and RLN is a triangle.
Diagram 10
Find the value of x + y.
A 180
B 90
C 67.5
D 22.5
Number of goals 0 1 2 3 4
Number of games 2 7 5 4 2
J
yo
xo
Q
K
N
L
P
RO
M
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SULIT 12
[Lihat sebelah50/1 © 2009 Hak Cipta SBP SULIT
21 In Diagram 11, EFGHJ is a regular pentagon and JKL is a straight line.
Diagram 11
Find the value of y.
A 72
B 50
C 45
D 28
K
E
F G L
H
J
xoxo
yo
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SULIT 13
[Lihat sebelah50/1 © 2009 Hak Cipta SBP SULIT
22 In Diagram 12, O is the centre of a circle QRST. PQR and ROT are straight lines.
Diagram 12
Calculate the value of x.
A 30
B 60
C 120
D 150
150o
xo
Q
R
S
T
O
P
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SULIT 14
[Lihat sebelah50/1 © 2009 Hak Cipta SBP SULIT
23 In Diagram 13, O is the origin. M is the midpoint of OR and the distance of PN is9 units.
Find the distance of MN.
A 3
B 4
C 5
D 6
24 Table 2 shows the rate of a courier service.
Table 2
Marini sent two parcels which were 200 g and 600 g respectively.
Calculate the total payment of the services.
A RM11
B RM12
C RM13
D RM14
x
y
OM
10 units
P(0, 6)
N
R
Parcel weight Rate
For a parcel not exceeding 400g First 100 g Subsequent 300 g
RM4RM2
For a parcel exceeding 400 g First 400 g Subsequent 100 g
RM6RM1
Diagram 13
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SULIT 15
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25 Diagram 14 shows a graph of function y = x2 – 2 .
Diagram 14
The value of r is
A 25
B 23
C 10
D 5
(r, 23)
– 2
O
y
x
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SULIT 16
[Lihat sebelah50/1 © 2009 Hak Cipta SBP SULIT
26 In Diagram 15, STU, JKL and PTK are straight lines.
Diagram 15
Find the value of m + n.
A 420
B 375
C 355
D 225
27 Given that R(4, 8), S(x, 6) and T(6, y). T is the midpoint of RS. What is the possiblevalues of x and y?
A x = 5, y = 7
B x = 7, y = 8
C x = 8, y = 7
D x = 10, y = 14
20o
S T U
JK
L
70o
no
momo
P
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SULIT 17
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28 In Diagram 16, PQRS is a rectangle and KLM is a sector of a circle with centre K.
Diagram 16
Given that SK = KM = MR = 7 cm
Calculate the area, in cm2, of the shaded region. (Use7
22 )
A 199.00
B 190.75
C 188.00
D 133.75
29 In Diagram 17, EFG is a right-angled triangle and GHJK is a square with area of16 cm2.
Diagram 17
Given that K is the midpoint of EG. EKG and FGH are straight lines. FGH =19 cm.
Find the perimeter, in cm, of the whole diagram.
A 48
B 52
C 76
D 84
10 cm
P Q
RS K M
L
45º
H
E
FG
J K
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SULIT 18
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30 Diagram 18 is a pictogram showing the number of learner drivers who passed adriving test on a certain day at the Seberang Jaya Road Transport Department.
Diagram 18
Given that the difference between the learner drivers who passed from DesaDriving School and Mutiara Driving School is 24.
What is the number of learner drivers from Murni Driving School who passed thistest?
A 32
B 28
C 16
D 8
31 The following triangles are similar except
A
B
C
D
Desa Driving School
Mutiara Driving School
Murni Driving School
60o
70o
50o
50o
60o
70o
40o
70o
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SULIT 19
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32 In Diagram 19, N is the image of N under an enlargement at O.
Diagram 19
Which of the point A, B, C or D is the image of M under the same enlargement?
33 In Diagram 20, O is the centre of the circle EFGHJ. EKOG and FKJ are straightlines.
Diagram 20
Given that EGH = 2EFJ
Calculate the value of x + y.
A 140
B 130
C 110
D 80
N
M
O
..C .B
.D
.A
N’
G
E
J
O
H
K
120º
110º
xo
yo
F
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SULIT 20
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34 Diagram 21 shows a right pyramid with a square base KLMN. VO is the height ofthe pyramid.
Diagram 21
Given that the area of triangle VLM is 65 cm2 and KL = 10 cm.
Calculate the length, in cm, of VO.
A 13
B 12
C 10
D 5
35 A car in a formula one race, decelerated from 144 kmh-1 for a pit stop and took2 seconds to completely stop. Calculate the acceleration of the car, in ms-2.
A – 2
B – 12
C – 20
D – 72
O
N M
L
V
K
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SULIT 21
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36 Diagram 22 shows a combined solid of a cone and a cylinder.
17 cm
Diagram 22
Given that slant height of the cone is 13 cm. The radius of the base of the cylinderand the base of the cone is 5 cm.
Calculate the volume, in cm3, of the solid.
A 170π
B 210π
C 425π
D 525π
37 Tasnim departed from Sungai Petani at 6.30 am and arrived at Ipoh at 9.15 am. Ifher average speed was 100 kmh-1, calculate, in km, the distance she travelled.
A 275
B 245
C 235
D 215
13 cm
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SULIT 22
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38 Diagram 23 shows the apparatus of an experiment.
Diagram 23
Three metal balls are dropped into container K and the water will be displaced andcollected in container M.
Given that the volume of each metal ball is 20.5 cm3.
Calculate the percentage of the water displaced in container M.
A 8.5
B 25.6
C 26.3
D 61.5
240 cm³
Container K Container M
Metal ball
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SULIT 23
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39 Diagram 24 is a line graph which shows the marks of the monthly MathematicsTest obtained by Rona.
Diagram 24
What is the mode of the marks?
A 50
B 60
C 80
D 90
Marks
Month
JAN FEB MAR APR MAY JUN JUL
40
60
100
80
20
X
X
X
X
X X
X
The Monthly Mathematics Marks Obtained By Rona
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SULIT 24
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40 Diagram 25 is a bar chart which shows the number of form 3 students in a school.
Diagram 25
Given that the number of boys in 3A is 12.
Calculate the total number of girls in this form.
A 42
B 48
C 56
D 64
END OF QUESTION PAPER
Class3 B3 A 3 D
Boys
Girls
3 C
Number ofstudents
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1SULIT
[Lihat sebelah50/2 © 2009 Hak Cipta SBP SULIT
BAHAGIAN PENGURUSANSEKOLAH BERASRAMA PENUH& SEKOLAH KLUSTER
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAANPENILAIAN MENENGAH RENDAH 2009 50/2MATEMATIKKertas 2
Ogos 2009
14
3jam 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 2
2 2
3 3
4 3
5 3
6 3
7 3
8 2
9 5
10 5
11 2
12 2
13 2
14 3
15 3
16 3
17 4
18 3
19 3
20 4
Jumlah
1. Tuliskan nama dan tingkatan anda pada ruangyang 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 untukmendapatkan markah.
7. Jika anda hendak menukar jawapan, batalkanjawapan yang telah dibuat. Kemudian tulisjawapan 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 pengawaspeperiksaan pada akhir peperiksaan.
Nama: ………………………………………… Tingkatan: ……………
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2
[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 xx
,
221 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
5 Circumference of circle = 2d r
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3
[Lihat sebelah50/2 © 2009 Hak Cipta SBP SULIT
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 = 21
3r h
13 Volume of sphere = 34
3r
14 Volume of right pyramid =1
3 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 centre
area of circle 360
18 Scale factor, k =PA
PA
19 Area of image = 2 area of objectk
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SULIT 50/2
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50/2 © 2009 Hak Cipta SBP
4
Answer all questions
1 Calculate the value of 48 ÷ 3 117
[2 marks]
Answer:
2 Calculate the value of 2.05
2148.0
[2 marks]
Answer:
3 (a) Find the value of16
91
(b) Calculate the value of 23 1008.0
[3 marks]Answer:
(a)
(b)
1
2
ForExaminer’s
Use
2
2
3
3
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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
5
4 (a) Expand
kw
4
36
3
2
(b) Simplify ( 2x – 3 )( 3x + 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
3
ForExaminer’s
Use
4
3
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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
6
ForExaminer’s
Use6 Express
h
hh
2
2
2
3 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
2
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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
7For
Examiner’sUse9 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
5
45o
7 cm
D
A
C
120o
B
Diagram 9
AB
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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
8
ForExaminer’s
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 usingthe 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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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
9 ForExaminer’s
Use
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
2
Diagram 11
R
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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
10For
Examiner’sUse 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
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
11For
Examiner’sUse13. Diagram 13 shows a polygon.
Diagram 13
On the grid in the answer space, redraw the polygon using the scale 1 : 400. Thegrid 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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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
12For
Examiner’sUse
14. Find the value of 2
1
2
1
205
[3 marks]
Answer:
15 Given that 3x =33
27x
Calculate the value of x [3 marks]
Answer:
16 Given 3 > 2 – p and 43
2p
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
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
13 ForExaminer’s
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
4
3000
Number ofbooks sold
Month
Diagram 17
Table 17
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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
14For
Examiner’sUse
18 In Diagram 18, PQR and RST are right-angled triangles.
[3 marks]
Given that cos xo =5
3and RT =
2
3PR.
(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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SULIT 50/2
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
15For
Examiner’sUse19 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
[Lihat sebelahSULIT
50/2 © 2009 Hak Cipta SBP
16For
Examiner’sUse
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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SULIT
1
BAHAGIAN PENGURUSANSEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAAN PMR2009
MATHEMATICSPAPER 1 & PAPER 2
NOTE
This marking scheme serves as a guide only. Other method which are equivalent andsuitable may also be adapted and used in the awarding of marks.
THANK YOU
This marking scheme consists of 5 printed pages
MARKING SCHEME
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SULIT
2
PEPERIKSAAN PERCUBAAN PMR SELARAS SBP 2009SKEMA JAWAPAN MATEMATIK KERTAS 1
Q Answer Q Answer
1. D 21. C
2. C 22. C
3. C 23. C
4. C 24. D
5. A 25. D
6. A 26. C
7. B 27. C
8. A 28. B
9. B 29. A
10. C 30. A
11. B 31. C
12. B 32. D
13. A 33. C
14. C 34. B
15. A 35. C
16. D 36. D
17. B 37. A
18. A 38. B
19. B 39. C
20. B 40. D
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SULIT
3
SKEMA JAWAPAN MATEMATIK KERTAS 2
Marking Scheme Sub mark Full mark
1 (–12)– 4
K1N1 2
2 77.48
K1N1 2
3(a)
4
5
(b) (-0.8)2
0.64
N1
K1N1 3
4(a) 4w -
2
1k @ 4w –
2
k
(b) 6x2 + 4x – 9x – 6 @ -3x2 + 3x3x2 – 2x - 6
P1
K1N1 3
5 (a) 5gh(1 – 5gh )( b) p(1+ q) – 2(1+q)
(p-2)(1+q)
P1K1N1 3
6
h
h
h
h
2
2
2
3 22 @
h
hh
2
23 22
h
h
2
22 2
h
h 12
K1
K1
N1 3
7(a) e =
2
7or equivalent
(b) 3a – a = –5 – 9 or 2a = –14a = – 7
N1K1
N1 3
8 2ab – b = c or b(2a – 1) = c
b =12 a
cK1
N1 2
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SULIT
4
9 (a)
(a) Construct angle 1200
Line ADAngle 450
Line DC(c) 9.5 cm ± 0.1cm
K1K1K1K1N1
5
10 (a) NOL or N to L or straight line NLNote: Draw only P1
(b) Draw semi circle, centre K, radius 4 cm.(c) draw angle bisector of P
(d) Mark intersections of two loci
P2
K1K1
N1 5
11 Image drawn correctly
Note : Award P1a. image drawn using dotted lineb. sketch
P2
2
12 (a) ( –2 , –1 )
(b)2
1P1
N12
O
P K Q
L
RMS
N
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SULIT
5
13
Image drawn correctly
Note: 1. Dotted line P12. One or two side wrongly drawn P13. More than 2 side wrongly drawn P0
P2
2
14 2
12
1
455
or equivalent
50 ×2
1
4
1or equivalent
2
1
P1
P1
N1 3
15 3x 3x – 3 = 33
x + x – 3 = 3 @ 2x = 6
x = 3
P1
P1
N1 3
16 P > -1
P ≤ 6
@
P1
P1
N1
3
–1 6
–1 60 1 2 3 4 5
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SULIT
6
17 i. Correct scaleii. All points plotted correctlyiii. Points joined using a ruler
Note 1 :i. wrong scale – 0 markii. more then 2 points wrongly plotted – 0 markiii. 1 or 2 points plotted wrongly – 1 markiv. points joined without ruler / dotted line – 1 mark
K1K2K1
4
18 ( a) 17 (by using Pythagoras’ Theorem or Pythagorean
Triple)
15 Seen ------ P1
( b) Tan y =17
8
K1
N1
N1
3
19 (a) oD 105
(b) A = 72C = 40
N1
N1N1
3
20 Correct scaleAll points correctly plottedSmooth graph
1 or 2 incorrect plotted P1
K1K2N1
4
x
y
0
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