TRIAL MATE Pmr 2013 SGI Paper 2 Answer
Transcript of TRIAL MATE Pmr 2013 SGI Paper 2 Answer
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SEKOLAH MENENGAH KEBANGSAAN ST. GEORGE, TAIPING
PEPERIKSAAN PERCUBAAN PMR 2013
MATHEMATICS
PAPER 2 ( 14
3jam) Name:___________
1. Calculate the value of )92(228 Hitungkan nilai bagi )92(228 ( 2 marks)
Answer:
2. Calculate the value of25
8)
2
1
2
31( and express the answer as a fraction in its
lowest terms. ( 2 marks)
Hitung nilai bagi (25
8)
2
1
2
31 dan ungkapkan jawapannya sebagai satu pecahan dalam
sebutan terendah.
Answer:
3. (a) Find the value of 64.0 Cari nilai bagi 64.0
(b) Calculate the value of
2
2
1
16
91
( 3 marks)
Hitung nilai bagi
2
2
1
16
91
Answer:
(a)
(b)
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4. (a) Given 3k = 81 , find k.Diberi 3k = 81 , cari k.
(b) Solve
3
21
2
xx ( 3 marks)
Selesaikan
Answer:
(a)
(b)
5. Given that 8p = 6 3q , express q in term of p.Diberi 8p = 6 3q , ungkapkan q dalam sebutan p. ( 2 marks)
Answer:
6. Simplify:Permudahkan:
(a) 323hp (b)
4
26
mk
km(3 marks)
Answer:
(a)
(b)
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7. Diagram 7 in the answer space shows a quadrilateral ABCD. BAis the image of BAunder a reflection on the straight line XY.
Rajah 7 di ruang jawapan menunjukkan sebuah sisi empat ABCD. BC ialah imej bagi BC di
bawah pantulan pada garis lurus XY.
On the diagram 7 in the space, complete the image of ABCD.Pada rajah 7 di ruang jawapan, lengkapkan imej bagi sisi empat ABCD. (2 marks)
Answer:
8. Factorise completely each of the following expressions:Faktorkan selengkapnya tiap=tiap ungkapan berikut:
(a) 4p -16(b) 20205
2
mm (3 marks)
Answer:
(a)
(b)
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9. List all the integer values of x which satisfy both the inequalitiesSenaraikan semua nilai integer x yang memuaskan kedua-dua ketaksamaan
4 + x > 6 and 2( x 3 ) 1 x ( 3 marks)
Answer:
10. Express46
127 pp as a single fraction in its simplest form.
Ungkapkan4
6
12
7 pp
sebagai pecahan tunggal dalam bentuk termudah. (3 marks)
Answer:
11.SimplifyPermudahkan 2 ( 5x 7xy ) ( 2xy 7x) ( 2 marks)
Answer:
12. Find the value ofCari nilai bagi 2
1
132
3
2
1
)53(53 ( 2 marks)
Answer:
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13.Diagram below in the answer space shows two quadrilaterals, RSTU and RSTU,drawn on a grid of equal squares. RSTU is the image of RSTU under an
enlargement.
Rajah di ruang jawapan menunjukkan dua buah sisi empat , RSTU dan RSTU, yang dilukis
pada grid segiempat sama yang sama besar. RSTU ialah imej bagi RSTU di bawah satupembesaran.
a) On the diagram, mark C as the centre of enlargement.Pada rajah itu, tandakan C sebagai pusat pembesaran itu.
b) State the scale factors of the enlargement.Nyatakan factor skala pembesaran.
(2 Marks)
Answer :
(b)
14.Diagram 14 shows the number cards drawn by 20 students in a game.Rajah 14 menunjukkan nombor kad yang dicabut oleh 20 orang pelajar dalam satu
permainan.
1 ,3 ,4 ,4 ,2 ,3 ,4 ,5 ,2 ,3 ,1,2 ,2 ,3 ,2 ,3 ,5 ,2,1 ,4
Diagram 14
(a) By using the data, complete the frequency table in the answer space.Dengan menggunakan data itu, lengkapkan jadual kekerapan pada ruang jawapan.
(b)State the mode.Nyatakan mod. (3 marks)
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19. In Diagram 19, JKL and LMN are right angled triangles.
Dalam Rajah 19, JKL dan LMN adalah segi tiga bersudut tepat.
Given that sin5
3ox .
Diberi
5
3sin ox .
(a) Calculate the length, in cm, of LM.Hitung panjang, dalam cm, bagi LM.
(b) Find the value of tan oy Cari nilai bagi tan
oy (3 marks)
Answer:
(a)
(b)
20. Use the graph paper to answer this question.
Gunakan kertas graf untuk menjawab soalan ini.
Table below shows the values of two variables x and y of a function.
Jadual di bawah menunjukkan nilai-nilai dua pembolehubah, x dan y, bagi suatu fungsi.
x -1 0 1 2 3 4 5
y 3 8 7 0 -13 -32 -62
The x-axis and y-axis are provided on the graph paper.
Paksi-x dan paksi-y telah disediakan pada kertas graf.(a) By using a scale of 2 cm to 10 units, complete and label the y-axis.
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(b) Based on Table given, plot all the points on the graph paper.Berdasarkan Jadual yang diberi, plot semua titik pada kertas graf itu.
( c) Hence, draw the graph of the function.
Seterusnya , lukiskan graf fungsi itu. (4 marks)
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Marking Scheme Paper 2
Question Marking Scheme Marks
1 ( -14 )
2
K1
N1
2
2
4or )2(
25
16
K1
N1
3 a
b
0.8
4
3
16
9
N1
K1
N14 a
b
27
3x + 6 = 4x or equivalent
6
K1
K1
N1
5 3q = 6 8p
3
86 pq
K1
N1
6 a
b
69hp or9
6
p
h
65
)4(216
kmkm
P1
K1
N1
7
P2
8 a
b
4 ( p 4 )
2
2
25
225
2105
)44(5
m
mm
mm
mm
P1
K1
N1
9 X > 2
5x X = 3, 4, 5
K1
K1
N1
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10
692
12
184
12
1839
p
p
pp
K1
K1
N1
11 10x 14xy 2xy +7x
17x -16xy
K1
N1
122
1
2
3
53
or 532 45
K1
N1
13 a
b 3
P1
P1
14 a
b
Number 1 2 3 4 5
Frequency 3 6 5 4 2
Note: Any 3 frequencies correct, award N1
2
N2
P1
15 a
b
Rambutan 0135 Mango 075
N1
N1
N3
16 a
bi
ii
c
BE
Note : only line drawn in the diagram
Arc drawn ( complete semicircle ) with centre E and radius 4
units
Line AE drawn
correctly marked
P2
P1
K1
K1
N1
17 Any two sides correctly drawn
Correct shape
Accurate drawingNote : Accept sketch or dotted answer
K1
K1
K1K1K1N0
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18 a
b 3.3 cm 1.0
1. K12. K13. K14. K1
N1
19 a
b
KL = 6 cm
LM = 13 cm
12
5tan
0 y
K1
N1
N1
20 a
b
c
Uniform scale on y axis in range 862 y
All 7 points correctly plotted
Note:
1. Allow 2 marks if points are not plotted but curve passesThrough all the 7 points
2. 6 or 5 points plotted correctly or curve passes through 6or 5 points, award 1 mark
Smooth curve passes through all the points
K1
K2
N1