JABATAN PELAJARAN NEGERI SELANGOR

SULIT

1449/11449/1

Matematik

Kertas 1

September

jam22SULIT 1449/1

23SULIT 1449/1

PROGRAM PENINGKATAN PRESTASI SAINS & MATEMATIK

SIJIL PELAJARAN MALAYSIA

MATEMATIK

Kertas 1

Satu jam lima belas minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

Kertas soalan ini mengandungi 23 halaman bercetak dan 1 halaman tidak bercetak.INFORMATION FOR CANDIDATES

1 This question paper consists of 40 questions.

2. Answer all questions.

3. Answer each question by blackening the correct space on the answer sheet.

4. Blacken only one space for each question.

5. If you wish to change your answer, erase the blackened mark that you have done.

Then blacken the space for the new answer.

6. The diagram in the questions provided are not drawn to scale unless stated.

7. A list of formulae is provided on pages 3 to 6.

8. You may use a non-programmable scientific calculator.MAKLUMAN UNTUK CALON

1. Kertas soalan ini mengandungi 40 soalan.

2. Jawab semua soalan.

3. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan.

4. Bagi setiap soalan hitamkan satu ruangan sahaja.

5. Sekiranya anda hendak menukar jawapan, padamkan tanda yang telah dibuat.

Kemudian hitamkan jawapan yang baru.

6. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan.

7. Satu senarai rumus disediakan di halaman 3 hingga 6.

8. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.

MATHEMATICAL FORMULAEThe following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.

RELATIONS1

2

3

4

5

6

7 Distance =

8 Midpoint,

9 Average speed =

10 Mean =

11Mean =

12Pythagoras Teorem

13

14

Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan.

PERKAITAN1

2

3

4

5

6

7Jarak =

8Titik tengah

9Purata laju =

10 Min =

11Min =

12Teorem Pythagoras

13

14

SHAPES AND SPACE

1 Area of trapezium = sum of parallel sides height2 Circumference of circle =

3 Area of circle =

4 Curved surface area of cylinder =

5 Surface area of sphere =

EMBED Equation.3 6 Volume of right prism = cross sectional area length7 Volume of cylinder =

8 Volume of cone =

9 Volume of sphere =

10 Volume of right pyramid = base area height11 Sum of interior angles of a polygon = (n 2)

12 =

13 =

14 scale factor

15 Area of image = area of objectBENTUK DAN RUANG15 Luas trapezium = hasil tambah dua sisi selari tinggi

16 Lilitan bulatan =

17 Luas bulatan =

18 Luas permukaan melengkung silinder =

19 Luas permukaan sfera

=

EMBED Equation.3 20 Isipadu prisma tegak = luas keratan rentas panjang

21 Isipadu silinder =

22 Isipadu kon =

23 Isipadu sfera =

24 Isipadu piramid tegak = luas tapak tinggi

25 Hasil tambah sudut pedalaman poligon = (n 2)

26 =

27 =

28 Faktor skala,

29 Luas imej = luas objekAnswer all questions.1 Round off 48 008 correct to four significant figures. [ Bundarkan 48 008 kepada empat angka bererti . ]

A 48 00

B 48 01

C 48 000

D 48 0102 Express 5.72 x 10-3 as a single number . [ Ungkapkan 572 10-3 sebagai satu nombor tunggal . ]

A 0000572

B 000572

C 00572

D 0572

3 Calculate and express the answer in standard form. [ Hitungkan dan ungkapkan jawapan dalam bentuk piawai . ]

A 85 10-1 B 85 10-2 C 8.5 10-3

D 8.5 10-4

4 The population of town D is 7.8 x 105 and the population of town Z is 5.3 x 104 .

The difference in population between the two towns is

[ Populasi Bandar D ialah 7.8 x 105 dan populasi Bandar Z ialah 5.3 x 104

Perbezaan populasi di antara dua bandar itu ialah ]

A 2.5 x 104 B 2.5 x 105 C 7.27 x 104

D 7.27 x 1055 What is the value of the digit 2 , in base ten, in the number 1248 ? [ Apakah nilai bagi digit 2, dalam asas sepuluh, dalam nombor 1248 ? ]

A 8

B 16 C 20 D 326 110112 + 10012 =

A 1001002 B 1011012 C 1000102 D 1010102

7 Diagram 1 shows a pentagon ABCDE. Lines AB and FED are parallel.

Diagram 1 [ Rajah 1 ]

Find the value of

[ Rajah 1menunjukkan pentagon ABCDE. Garis lurus AB adalah selari dengan

FED. Carikan nilai ]

A 2160 B 2220 C 2500 D 26008 In Diagram 2, the tangent PQR touches the circle at Q,

P Diagram 2 [ Rajah 2]

Find the value of y x [Dalam Rajah 2 , tangent PQR menyentuh bulatan pada Q. Carikan nilai y x ] A 480 B 550 C 770 D 10309 Diagram 3 [ Rajah 3]

Diagram 3 shows five triangles drawn on a square grid. Which of the figures A, B, C or D is not the image of J under reflection?[Rajah 3 menunjukkan lima segitiga dilukis pada grid segiempat sama. Antara segitiga A, B, C dan D yang manakah bukan imej bagi segitiga J di bawah satu pantulan?]10In Diagram 4 , M' is the image of M under a certain translation. T' is the image of T under the same translation.

Diagram 4 [ Rajah 4 ]

The coordinates of T is [ Dalam Rajah 4, M' adalah imej bagi M di bawah satu translasi. T' adalah imej bagi T di bawah translasi yang sama. Koordinat bagi T ialah ]

A ( -3, 0 ) B ( 0, -3 ) C ( 5 , 4 )

D ( 5 , 0 )

11 In Diagram 5, ABC is a right angled triangle. H is the midpoint of AB.

Diagram 5 [Rajah 5] Find the value of tan [Dalam Rajah 5,ABC ialah sebuah segitiga sudut tegak. H ialah titik tengah AB.

Carikan nilai bagi tan ]

A

B

C

D

12 In Diagram 6, KLM is a straight line. It is given that cos (NKL = .

Diagram 6

Find the value of cos (NLM.

[ Dalam Rajah 6, KLM ialah garis lurus. Diberi kos (NKL = . Hitungkan kos (NLM. ] A

B

C

D

13Which of the following represents the graph y = sin x for 0o x 180o Antara yang berikut, yang manakah mewakili graf bagi ?]

A B

C D

14Diagram 7 shows a cuboid with a horizontal base PQTS. Name the angle between the plane TWQ and the plane RTQU

Diagram 7 [ Rajah 7] [Rajah 7 menunjukkan sebuah kuboid dengan satah mengufuk PQTS. Namakan sudut di antara satah TWQ dengan satah RTQU]

A. RWT

B RWQ

C RTQ

D RTW

15In Diagram 8, RT and AF are two vertical poles on a horizontal plane. S is a point on RT such that ST = AF

Diagram 8 [Rajah 8]

. The angle of elevation of point R from point A is [ Dalam Rajah 8, RT dan AF adalah dua batang tiang tegak pada satah mengufuk. S adalah satu titik di atas RT dengan keadaan ST = AF. Sudut dongak titik R dari titik A ialah ] A ARS

B SAR

C TFR

D TAF16 In Diagram 9, SQ and TP are two vertical poles on a horizontal plane .

Diagram 9 [Rajah 9] The angle of depression of S from T is 420. Calculate the value of h, in m.. [Dalam Rajah 9, SQ dan TP adalah dua tiang tegak di atas satah mengufuk.

Sudut tunduk puncak S dari T ialah 420 . Hitungkan nilai h, dalam m ] A 18.0 B 22.2 C 26.0 D 30.217 M , N and P are three points on a horizontal plane. N is due south of M. The bearing of P from M is 150o and the bearing of N from P is 230o.

Which of the following diagrams shows the position of M , N and P?[ M, N dan P ialah tiga titik pada satah mengufuk. N berada di selatan M. Bearing P dari M ialah 150o dan bearing N dari P ialah 230o. Antara rajah berikut, yang manakah menunjukkan kedudukan M, N, dan P?]

A

B

C

D18P (77 N, 35 E) and S are two points on the surface of the earth with PS as the diameter of the earth. The position of S is[ P (77 U, 35 T) dan S adalah dua titik di atas permukaan bumi dengan keadaan PS ialah diameter bumi. Kedudukan bagi S ialah ]

A (77 S, 145 W)

B (77 S, 35 E)

C (77 N, 145 W)

D (77 N, 35 E )19

A

B

C

D

20 Simplify

A

B

C

D 4

21 Given that , express m in terms of n.

[Diberi , ungkapkan m dalam sebutan n.]

A

B

C

D

22 Given that , then =

[Diberi , maka = ]

A

B

C

D

23 Simplify

[ Ringkaskan ]

A

B

C

D

24 List all the integers which satisfy both the inequalities

and

[Senaraikan semua integer yang memuaskan kedua-dua ketaksamaan

and ]

A -2, -1, 0 , 1, 2

B -2, -1, 0, 1

C -1, 0, 1, 2

D -1, 0, 1

25Diagram 10 is a pictograph showing the number of tourists who visited Pangkor Island in March and April. The number of visitors in January and February are not shown.

January

February

March

April

represents 2500 tourists

DIAGRAM 10 A total of 55000 tourists had visited Pangkor Island in those four months.

The number of tourists in January was two third the number of tourists in

February.

The number of tourists in February was[ Rajah 10 ialah piktograf yang menunjukkan bilangan pelancung ke Pulau Pangkor dalam bulan Mac dan April. Bilangan pelancung dalam bulan Januari dan Februari tidak ditunjukkan.]

Sejumlah 55000 pelancung telah melawat Pulau Pangkor dalam empat bulan

itu. Bilangan pelancung dalam bulan Januari adalah dua pertiga bilangan pelancung dalam bulan Februari.

Bilangan pelancung dalam bulan Februari ialah ]

A 10 000

B 15 000

C 20 000

D 25 00026Table 1 shows the number of children in 30 families in a village.

The median of the distribution is

Number of children

01234

Frequency

411762

TABLE 1

[ Jadual 1 menunjukkan bilangan anak bagi 30 buah keluarga dalam sesuatu kampung.

Median bagi taburan ini ialah ]

A 1.5

B 2

C 2.5

D 3

27 Diagram 11 shows a set of six pieces of data where and are integers.

3, 5, , , 4, 5

DIAGRAM 11The mean for the data is 4 and the median is 4.

Two new pieces of data, 4 and 6 were put into the set.

Determine the mode for these eight pieces of data.

[ Rajah 12 menunjukkan sekumpulan enam data dengan keadaan mewakili

satu integer

Min bagi data tersebut ialah 4 dan median ialah 4. Dua data baru, 4 and 6 dimasukkan ke dalam kumpulan data itu. Tentukan mod bagi lapan data itu.]

A 3

B 4

C 5

D 6

28Which of the following graphs represents the graph of

[ Antara yang berikut, yang manakah mewakili graf bagi ]

A

29It is given that the universal set , { is an integer } and

set R = { is a number such that the difference between the two digits is a prime number} .

Find set R.

[ Diberi bahawa set semesta ,{ ialah integer } dan set R = { ialah nombor dengan keadaan beza antara dua digitnya ialah nombor perdana} . Carikan set R.]

A { 16, 18, 20, 22, 24 }

B { 16, 18, 20, 24, 25 }

C { 15, 17, 19, 21, 22, 23 }

D { 16, 18, 20, 21, 24, 25 }

30Diagram 12 is a Venn Diagram showing the universal set , and set P and Q.

The region is equivalent to the region

[Rajah 12 ialah gambarajah Venn yang bawah menunjukkan set semesta dan set-set P and Q.]

Rantau setara dengan rantau ]

A

B

C

D

31Table 2 shows the data obtained from a survey of favourite drinks of 40 students in a class. Diagram 13 is a Venn Diagram that represents part of the information given in Table 2.

DrinksNumber

of Students

Tea15

Coffee27

Tea and Coffee only4

Tea and Milo7

Milo and Coffee9

Milo only5

Table 2

Diagram 13Find the number of students who like one type of drink only.

[Jadual 2 menunjukkan data yang diperoleh daripada satu kaji selidik minuman yang digemari oleh 40 pelajar dalam sebuah kelas. Rajah Venn dalam Gamabarajah 13 mewakili sebahagian maklumat dalam Jadual 2. Carikan bilangan pelajar yang suka hanya sejenis minuman sahaja]

A 9

B 15

C 19

D 23

32 Point Q lies on a straight line with gradient -3 and passes through the point

P (-1,2 ).

The coordinates of point Q could be

[Titik Q terletak pada garislurus dengan kecerunan -3 dan melalui titik P (-1,2 ).

Koordinat-koordinat titik Q yang mungkin ialah ]

A (2, 7)

B (2, 6)

C (2, 5)

D (2, -7)

33In Diagram 14, EF is a straight line with gradient .

Diagram 14Find the intercept of the straight line EF.

[Dalam Rajah 15, EF ialah garis lurus dengan kecerunan .

Carikan pintasan - bagi garis lurus EF ]A 2

B -2

C

D

34It is given that set G is { 1,2,3,5,6,7,8,10,12,14,15 }. A number is chosen at random from the elements of set G. Find the probability that the number chosen is a factor of 30.

[Diberi bahawa set G { 1,2,3,5,6,7,8,10,12,14,15 }. Satu nombor dipilih secara rawak daripada unsur-unsur set G. Carikan kebarangkalian bahawa nombor yang terpilih ialah faktor bagi 30.]

A

B

C

D

35 A box contains 3 bottles of soya sauce, 10 bottles of tomato sauce and a few bottles of chilli sauce. A bottle is chosen at random from the box. The probability of choosing a bottle of tomato sauce is

Find the probability of choosing a bottle of chilli sauce.

[Sebuah kotak mengandungi 3 botol kicap, 10 botol sos tomato dan beberapa botol sos cili. Sebuah botol dipilih secara rawak daripada kotak itu . Kebarangkalian bahawa sebuah botol sos tomato dipilih ialah Carikan kebarangkalian bahawa sebuah botol sos cili dipilih.]

A

B

C

D

36It is given that varies inversely with the square of and = 9 when = . Calculate the value of when = 25.

[Diberi bahawa berubah secara songsang dengan kuasa dua dan = 9 apabila = . Hitungkan nilai p apabila = 25.]

A

B

C 4

D 10

37It is given that and = 2 when = 9.

Calculate the value of when = 4 .

[Diberi bahawa

EMBED Equation.3 dan = 2 apabila = 9.

Hitungkan nilai apabila = 4 ]

A 12

B 16

C 24

D 36

38Table 3 shows two sets of values of , and which satisfy .

Calculate the value of

873

414w

TABLE 3

[Jadual 3 menunjukkan dua set bagi nilai and yang memuaskan

Hitungkan nilai ]

A 0.75

B 1.25

C 1.30

D 1.33

39

A

B

C D

40If then =

[Jika maka = ]

A 1

B 2

C

D

END OF QUESTION PAPER

distance travelled

time taken

sum of data

number of data

sum of (class mark EMBED Equation.3 frequency

sum of frequencies

y-intercept

x-intercept

jarak yang dilalui

masa yang diambil

hasil tambah nilai data

bilangan data

hasil tambah nilai titik tengah kelas EMBED Equation.3 kekerapan

hasil tambah kekerapan

pintasan - y

pintasan - x

arc length

circumference of circle

angle subtended at centre

EMBED Equation.3

Angle subtended at centre

EMBED Equation.3

area of sector

area of circle

panjang lengkok

lilitan bulatan

sudut pusat

EMBED Equation.3

luas sektor

luas bulatan

sudut pusat

EMBED Equation.3

F

E

D

600

1100

C

EMBED Equation.3

EMBED Equation.3

B

A

y0

x0

550

480

Q

R

0

2

EMBED Equation.3

EMBED Equation.3

4

2

4

EMBED Equation.3

EMBED Equation.3

x4

y

M'

T'

M

-2

-4

-2

A

B

C

17 cm

4 cm

H

M

N

L

K

O

90

180

o

y

x

1

-1

O

90

180

y

x

1

-1

y

O

90

180

y

x

1

-1

1

x

o

180

90

O

-1

R

V

T

Q

U

P

S

W

F

R

T

S

A

S

Q

T

P

h

8 m

20 m

M

N

P

North

M

N

P

North

N

M

P

North

N

M

P

North

y

y

B

8

O

x

8

O

x

y

y

D

C

O

O

x

x

-2

-2

DIAGRAM 12

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

TeaTea

Coffee

4

5

MiloTea

y

O

E

-3

F

EMBED Equation.3

1449/1 2007 Hak Cipta JPNS [Lihat sebelah

SULIT1449/1 SULIT1449/1 [Lihat sebelah SULIT

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