matematik kertas 1 ujian 1 f4

7/29/2019 Matematik Kertas 1 Ujian 1 f4

1/12

1

SULIT

PEPERIKSAAN AKHIR TAHUN 2008MATEMATIK TINGKATAN 4

Kertas 1

1449/1

Nov

1 jam Satu jam lima belas minit

JANGAN BUKA SOALAN INI SEHINGGA DIBERITAHU

1. Kertas soalan ini adalah dalam bahasa Inggeris2. Jawab semua soalan dalam kertas objektif3. Anda dibenarkan menggunakan kalkulator saintifik

DISEDIAKAN OLEH DISEMAK OLEH

(ROSLAN BIN ABDULLAH)

KERTAS SOALAN INI MENGANDUNGI 12 HALAMAN BERCETAK

SEKOLAH MENENGAH KEBANGSAAN BATU 17

PADANG LUMAT, 08800 GUAR CHEMPEDAK

KEDAH DARUL AMAN


2/12

2

1. Round off 30106 correct to three significant figures

Bundarkan 30106 betul kepada tiga angka bererti

A. 30000 B. 30100 C. 30110 D. 30200

2. Express 1.205 x 104

as a single number

Nyatakan 1.205 x 104 sebagai nombor tunggal

A. 1205 B. 12050 C. 1205000 D. 12050000

3. Roundoff 2.996 correct to three significant figures

Nyatakan 2.996 betul kepada 3 angka beerti

A. 2.99 B. 3.00 C. 3.0 D. 300

4. 0.00786 x 10-5

=

A. 1.83 x 10

-3

B. 1.83 x 10

-5

C. 7.74 x 10-3

D. 7.74 x 10-5

5. (2xy)2x(xy) =

A. 3x23xy + y

2B. 3x

25xy +y

2

C. 3x2

+xyy2

D. 3x25xyy

2

5. Ungkapkan2

3

p

p -

p

p 2dalam bentuk pecahan teringkas.

A.

p

pp2

3 B.

2

23

p

pp

C.p

pp2

3 D.

2

23

p

pp


3/12

3

6.In diagram 1, MNPQRSTU is a regular octagon and TUVW is a straight line

Cari nilai x

A 65 B 70 C. 80 D. 90

7. Diberi T=3

1

K

m, ungkapkan m dalam sebutan T and K

A. m = 9KT2 B. m = 3KT2 C. m =K

T

9

2

D. m =K

T

3

2

8. Buat kesimpulan dari premis yang diberi?

Premise1: Jika 5w = 60, maka w = 12

Premise 2: w 12Kesimpulan:___________________________

A. 5w = 60 B. w = 12 C. if w = 12, then 5w = 60 D. 5w 60

9. Diberi set semesta, = P Q, set P = {0,1,2} and set Q = {2,3,4,5}, cari nilai n()A. 7 B. 6 C. 5 D. 4

WT U V

S

R

Q P

N

M

125ox

o

Diagram 1


4/12

4

10. Diberi = {x:10x20, x integers}, M = {Jumlah digitnya adalah nombor genap}and N ={nombor perdana}.

n(M N) =

A. 4 B. 5 C. 6 D. 7

.

11.Dalam rajah Venn diatas, = P Q. Yang mana kenyataan yang benar?

A. P Q = P B. P Q C. P Q = D. P Q = P

12. Dalam rajah dibawah , PFQ, centre O. EFG ialah tangent kepada bulatan di F

Cari nilai x

A. 32 B. 48 C. 61 D. 74

13. Diberi 125

1

x

x, cari nilai x

A.9

2B.

11

4C.

9

5D.

3

2

P

Q

E F G

P Q

Diagram 3

O

16o

58

o

x

o


5/12

5

14.5

3

7

xboleh ditulis sebagai

A. 5

3

7 x B. 5

3

7x C. 21x

-5D. 21x

5

15. Antara berikut yang manakah ditulis dalam bentuk piawai?A. 4.2 x 10

-4B. 0.7 x 10

-2C. 31.3 x 10

6D. 40 x 10

2

17. Permudahkan (e9f

-6) 31

x e-2f

3

A. e7f B. e

7f

-3C.Ef5 D. ef

-3

18. Which of the following statements is true?

A. 3 + 2 = 5 or 3 X 2 = 5 B. 1 < 5 and -1 < -5

C. 5 X 0 = 0 and 0 + 5 = 0 D. 3 X 3 = 6 or 3 + 3 = 9

19. Complete the following statement to form a true statement.

..triangles have three equal sides.A. all B. some C. many D. a few

20. Which is the converse ofthe following implication? If Miss Yee works very hard,

then she gets a bonus.

A.If Miss Yee does not work very hard then she does not get a bonus

B.If Miss Yee does not get a bonus, then she does not work hard

C.If Miss Yee gets a bonus, then she works very hard

D.If Miss Yee does not work very hard, then she gets a bonus


6/12

6

21. The gradient of the straight line 3x + 2y = 5 is

A. -3 B. -2 C.2

3 D.

3

2

22. Determine the y-intercept of the straight line 4x + 2y + 5 = 0

A.

2

5B.

2

5 C.

4

5D.

4

5

23. Find the value of m if the line joining the points (3m,5) and (-m,-3) has a gradient

of 2.

A. -1 B. C. 1 D. 4

24. A straight line passes through the point (1,5) and has a gradient of 2. Find the y-

intercept

A. (0,-9) B. (0,3) C. -9 D. 3

25. In Diagram 4, EF is a straight line with gradient 3

1

.

E

-3

F

Find the coordinates of point J.

A. (3,0) B. (0,9) C. (9,0) D. (12,0)

J

y

xO

Diagram 4


7/12

7

26. Diagram 5 is a bar chart which shows the sales of handphones. The sales in

August are not shown.

Number of handphones

May June July August Month

Diagram 5

The sales in August is 40% of the total sales during the four months, from May toAugust. How many handphones were sold in August?

A. 60 B. 72 C. 120 D. 140

27. Diagram 6 is a pictograph showing the number of MYVI cars booked in three

consecutive days after being launched.

Monday @ @ @ @ @ @ @

Tuesday @ @ @ @ @ @ @ @

Wednesday

@ represents 150 cars.

A total of 3750 MYVI cars were sold in those three days. How many cars were sold

on Wednesday?

A. 10 B. 150 C. 1500 D. 2500

28. The figure shows nine numbers.

3, 7, 4 , 5 , 3 , 2 , 3 , 6 , 7

Find the difference between the mode and the median.

A. 1 B. 2 C. 3 D.4

29. A box contains 5 red marbles and 21 green marbles. Lim puts another 4 red marbles

and 1 green marble inside the box. A marble is chosen at random from the box. What

is the probability that a red marble is chosen?

A.31

5B.

31

9C.

26

5D.

26

9

20

40

60

80

Diagram 6


8/12

8

xo

48o

30. In a training session, Nabil has many trials to score a goal. The probability that Nabil

scores a goal in a trial is20

9. In 60 trials chosen randomly, how many times does

Nabil fail to score a goal?

A. 11 B. 27 C. 33 D. 49

31. It is given that set K is { 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 27}.

A number is chosen at random from the elements of set K. Find the probability that

the number chosen is a prime number.

A. 1/5 B. 6/15 C. 1/3 D. 6

32.

PQ and PR are tangents to the circle with centre O. IfQPR = 48o, the value of x isA. 48 B. 54 C. 66 D. 96

33. .

PQ and PR are tangents to the circle with centre O. If QR=8cm and OP=17cm, the length

of PQ is

A. 15cm B. 18cm C. 20cm D. 25cm

8cm

17cm


9/12

9

34.

PQ is a tangent to the circle with centre O. OP cuts the circle at R. IfOPQ = 32,

ORQ isA 58 B. 61 C. 72 D. 80

35. Diagram 7 shows a circle , PFQ, centre O. EFG is a tangent to the circle at F

Find the value of x

A. 32 B. 48 C. 61 D. 74

E F G

P Q

Diagram 7

O

16o

58ox

o

P Q

R

O

32


10/12

10

36. . In Diagram 8, O is the centre of circle ABCDE.

Find the value of sin .A. -3.5 B. -0.7 C. -0.2 D. 0.2

37. In Diagram 9, O is the origin and JOK is a straight line on a Cartesian plane.

Diagram 9

The value of cos is

A. -5

4B. -

5

3C.

5

3D.

5

4

K(3,4)

J

O

C

E(0.2, 0.7)

A (1, 0)

B

O

D

Diagram 8


11/12

11

38. In diagram 10. USR and VQTS are straight lines

Diagram 10

It is given that TS = 29cm, PQ = 13 cm and sin xo

= -17

8, Find the value of tan y

o.

A.15

12B.

12

5C.

12

5D. -

5

12

39. Diagram 11 shows a cuboid with a horizontal base PQRS.

State the angle between the planes WQVand WSRV.

A. QVR B. WQS C. VQR D. WQP

P

R

S

V

yo

xo

T

Q

W V

UT

SR

QP

Diagram 11

5 cm

12 cm

13 cm


12/12

12

40. Diagram 12 shows Roslan observing a kite which is flying vertically above pointL.

The horizontal distance between him and pointL is 20 m.

Given that the angle of elevation of the kite from Roslan is 15. Find the vertical height,

h, in m, of the kite.

A. 5.36 B. 6.86 C. 74.64 D.76.14

Diagram 12

h

1.5 m

L20 m

matematik kertas 1 ujian 1 f4

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