trial mate pmr 2013 sgi paper 2 answer

7/30/2019 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


13/14

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

trial mate pmr 2013 sgi paper 2 answer

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