- Keluarga82' · 50/1 © 2009 hak cipta sbp sulit ... kementerian pelajaran malaysia peperiksaan...

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

http://koleksisoalan.blogspot.comhttp://banksoalanspm.blogspot.com/

www.banksoalanspm.blogspot.com

2

[Lihat sebelah


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



3

[Lihat sebelah


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



4

[Lihat sebelah


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



SULIT 4

[Lihat sebelah50/1 © 2009 Hak Cipta SBP SULIT

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, …



SULIT 5


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



SULIT 6


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



SULIT 7


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



SULIT 8


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



SULIT 9


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



SULIT 10


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



SULIT 11


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



SULIT 12


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



SULIT 13


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



SULIT 14


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



SULIT 15


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



SULIT 16


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



SULIT 17


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



SULIT 18


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



SULIT 19


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



SULIT 20


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



SULIT 21


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



SULIT 22


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



SULIT 23


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



SULIT 24


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



1SULIT


BAHAGIAN PENGURUSANSEKOLAH BERASRAMA PENUH& SEKOLAH KLUSTER


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 dibenarkan.

11. Serahkan kertas soalan ini kepada pengawaspeperiksaan pada akhir peperiksaan.

Nama: ………………………………………… Tingkatan: ……………



2


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



3


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



SULIT 50/2

[Lihat sebelahSULIT

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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT 50/2

[Lihat sebelahSULIT


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



SULIT

1

BAHAGIAN PENGURUSANSEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER


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



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



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



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



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



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



- Keluarga82' · 50/1 © 2009 hak cipta sbp sulit ... kementerian pelajaran malaysia peperiksaan...

Documents

Transcript of - Keluarga82' · 50/1 © 2009 hak cipta sbp sulit ... kementerian pelajaran malaysia peperiksaan...