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SET 1 PAPER 1 3472

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

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

ALGEBRA

1. x =

2. am an = am + n

3. am an = am n

4. (am)n = am n

5. loga mn = loga m + loga n

6. loga = loga m loga n

7. loga mn = n loga m

8. =

9. = a + (n 1)d

10. =

11. =

12. = = ,

13. = , | r | < 1

KALKULUS (CALCULUS)

1. y = uv

= u + v

2. y = , =

3. =

4. Luas di bawah lengkung (Area under a curve)

= atau (or)

=

5. Isipadu janaan (Volume of revolution)

= atau (or)

=

3472 2005 Hak Cipta Jabatan Pelajaran Negeri Terengganu [Lihat sebelahSULIT

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SET 1 PAPER 1 3472

STATISTIK (STATISTICS)

1. =

2. =

3. = =

4. = =

5. =

6. I = 100

7. =

8. =

9. =

10. P(A B) = P(A) + P(B) – P(A B)

11. = , p + q = 1

12. Min (Mean) = np

13. =

14. Z =

GEOMETRI (GEOMETRY)

1. Jarak (Distance)

=

2. Titik tengah (Midpoint)

(x, y) =

3. Titik yang membahagi suatu tembereng garis

(A point dividing a segment of a line)

(x, y) =

4. Luas segi tiga (Area of triangle) =

5. =

6. =

TRIGONOMETRI (TRIGONOMETRY)

1. Panjang lengkok, s = j

Arc length, s = r

8. = sinA kosB kosA sinB

= sinA cosB cosA sinB


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SET 1 PAPER 1 3472

2. Luas sektor, L =

Area of sector =

3. = 1

= 1

4. =

=

5. =

=

6 sin 2A = 2 sinA kosA

sin 2A = 2 sinA cosA

7. kos 2A = kos2 A sin2 A

= 2 kos2 A 1

= 1 2 sin2 A

cos 2A = cos2 A sin2 A

= 2 cos2 A 1

= 1 2 sin2 A

9. = kosA kosB sinA sinB

= cosA cosB sinA sinB

10. =

11. tan 2A =

12. = =

13. a2 = b2 + c2 2bc kosA

a2 = b2 + c2 2bc cosA

14. Luas segi tiga (Area of triangle)

= ab sin C

Jawab semua soalan.

1 Diagram 1 shows an arrow diagram for the relation between set P and set Q.Rajah 1 menunjukkan gambar rajah anak panah bagi hubungan antara set P dan set Q.


3

21

012

6

4

2

1

0

P Q

Diagram 1 /Rajah 1

SET 1 PAPER 1 3472

State / Nyatakan(a) the object of 4,

objek bagi 4,

(b) the range of the relation.julat bagi hubungan ini. [2 marks]

Answer : (a) ……………………………

(b) …………………………...

2 Given that , find h – 1 (x).

Diberi fungsi , cari h – 1 (x). [2 marks]

Answer : ………………………………

3 Given that is the root of the equation 2x2 + px – 1 = 0, find the value of p.

Diberi ialah punca bagi persamaan 2x2 + px – 1 = 0, cari nilai p.

[2 marks]


4

SET 1 PAPER 1 3472

Answer : ………………………………

4 Find the range of values of k if the equation (2 – 3k) x2 + (4 – k) x + 2 = 0 has two different roots.

Cari julat nilai k jika persamaan (2 – 3k) x2 + (4 – k) x + 2 = 0 mempunyai dua punca yang berbeza. [3 marks]

Answer : ………………………………

5 Express the quadratic function f(x) = 1 + 3x – 2x2 in the form a(x + p)2 + q, where

a, p and q are constants.

Ungkapkan fungsi kuadratik f(x) = 1 + 3x – 2x2 dalam bentuk a(x + p)2 + q, dengan

keadaan a, p dan q adalah pemalar. [3 marks]


5

SET 1 PAPER 1 3472

Answer : ………………………………

6 Solve the equation 43x – 1 2x = 16 x 5.Selesaikan persamaan 43x – 1 2x = 16 x 5 . [3 marks]

Answer : ………………………………

7 Solve the equation 43x – 1 2x = 16 x 5

Selesaikan persamaan log 9 (18 – y2) = log 3 y. [4 marks]


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SET 1 PAPER 1 3472

Answer : ………………………………

8 PQR is a straight line where the coordinates of P and Q are (2, 1) and (1, 2)

respectively. If Q divides the straight line PR in the ratio 3 : 2, find the coordinates

of R.

PQR ialah garis lurus dengan koordinat P dan Q masing-masing ialah (2, 1) dan

(1, 2). Jika Q membahagi garis lurus PR dengan nisbah 3 : 2, cari koordinat-

koordinat R.

[3 marks]

Answer : ………………………………

9 Given that the coordinates of A and B are (4, 1) and (1, 2) respectively. Find the equation of the straight line that passes through the point T (1, 3) and parallel with to the straight line AB.

Diberi koordinat A dan B masing-masing ialah (4, 1) dan (1, 2). Cari persamaan garis lurus yang melalui titik T (1, 3) dan selari dengan garis lurus AB.

[3 marks]


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SET 1 PAPER 1 3472

Answer : ………………………………

10

Table 1 / Jadual 1

Table 1 shows the scores collected by the participants in a telematch. Given that the mode score is 3.Jadual 1 menunjukkan skor yang diperoleh peserta-peserta dalam suatu sukaneka. Diberi skor mod ialah 3.

(a) State the minimum value of x.Nyatakan nilai minimum bagi x.

(b) Hence, calculate the mean score.Seterusnya, hitungkan min skor. [3 marks]

Answer : (a) ………………………

(b) …………….………..

11 Diagram 2 shows a sector of the circle OPQ, centre O.Rajah 2 menunjukkan sebuah sektor bulatan OPQ berpusat O.


Score / Markah 1 2 3 4 5

No. of participants / Bilangan peserta

0 1 2 + x 3 2

8

O

Q

P9 cm

SET 1 PAPER 1 3472

Diagram 2 / Rajah 2

Given that OP = PQ, calculate the arc length of PQ.Diberi OP = PQ, cari panjang lengkok PQ.

[2 marks]

Answer : ………………………………

12 Find the value of when x = 2. [2 marks]

Cari nilai apabila x = 2.

Answer : ………………………………

13 Find the equation of the normal to the curve y = at the point (1, 4).

Cari persamaan normal kepada lengkung y = pada titik (1, 4).

[3 marks]


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SET 1 PAPER 1 3472

Answer : ………………………………

14 Given that 36, 24, 16 are three consecutive terms in a geometric progression and the fifth terms is 16. Find

Diberi 36, 24, 16 adalah tiga sebutan berturutan dalam suatu janjang geometri dan 16 adalah sebutan yang kelima. Cari

(a) first term,sebutan yang pertama,

(b) the sum to infinity of the progression.hasil tambah ketakterhinggaan bagi janjang itu.

[4 marks]

Answer : (a) …………………………

(b) ………………………….

15 Find the rate of change of the area of the circle if the rate of change of the radius is 0·2 cms– 1 when the radius is 4 cm.

Cari kadar perubahan luas bulatan jika jejarinya berubah dengan kadar 0·2 cms– 1 ketika jejari ialah 4 cm. [3 markah]


10

x

(1, 8)

(4, 2)

2

y

x

O

SET 1 PAPER 1 3472

Answer : ………………………………

16 x and y are related by the equation y = x (kx2 + mx), where k and m are constants.

The graph of the straight line is obtained by plotting against x, as shown in

Diagram 3. Calculate the value of k and of m.

x dan y dihubungkan oleh persamaan y = x (kx2 + mx), dengan keadaan k dan m

adalah pemalar. Graf garis lurus diperoleh dengan memplot melawan x, seperti

yang ditunjukkan dalam Rajah 3. Hitungkan nilai k dan nilai m.[4 marks]

Diagram 3/ Rajah 3

Answer : k = ………………….…..

m = ……………………...

17 127 , 121 , 115 , . . . is an arithmetic progression.Which term of the progression is –185 ?

127 , 121 , 115 , . . . ialah suatu janjang aritmetik.Sebutan ke berapakah dalam janjang itu ialah –185 ?

[3 marks]


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SET 1 PAPER 1 3472

Answer : ………………………………

18 The sum of the first n terms of an arithmetic progression is given by Sn = 5n2 – 3n.Hasil tambah n sebutan pertama bagi janjang aritmetik ialah Sn = 5n2 – 3n

CalculateHitungkan

(a) the common difference of the progression,beza sepunya janjang itu.

(b) the fourth term. [ 4 marks]sebutan keempat.

Answer : (a) …………………………

(b) ………………………….

19 Solve the equation 2 sin2 x – 3 = 3 cos x for 0 < x < 360.

Selesaikan persamaan 2 sin2 x – 3 = 3 kos x bagi 0 < x < 360.

[4 marks]

Answer: ...............................................

20 (a) If = 7, find .

Jika = 7, cari .

(b) Given that = k(1 + 2x) n + c, find the value of k and of n.

Diberi = k(1 + 2x) n + c, cari nilai k dan nilai n.

[4 marks]


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SET 1 PAPER 1 3472

Answer: (a) .....................................................

(b) k = ...............................................

n = ..............................................

21 Find the equation of the locus of the moving point P such that its distance from two fixed points A(2, 0) and B(0, 4) is such that 3PA = PB.

Cari persamaan lokus bagi titik bergerak P supaya jaraknya dari dua titik tetap A(2, 0) dan B(0, 4) adalah dengan keadaan 3PA = PB.

[3 marks]

Answer : ………………………………

22 Diagram 4 shows two vectors, and .

Rajah 4 menunjukkan dua vektor, dan .


13

y

x

R (4, 2)

T (-3, 5)

O

Diagram 4 /Rajah 4

SET 1 PAPER 1 3472

FindCari

(a) in the form .

dalam bentuk .

(b) in the form xi + yj.

dalam bentuk xi + yj.

[4 marks]

Answer: (a) = ...........................................

(b) = ...........................................

Diagram 5 / Rajah 5

23 A code is to be formed using letters in Diagram 5. Find the possible number of codes that can be formed if all the three consonants are separated by a vowel.

Suatu kod hendak dibentuk dengan menggunakan semua huruf dalam Rajah 5. Cari bilangan kod yang boleh dibentuk jika ketiga-tiga huruf konsonan dipisahkan oleh huruf-huruf vokal. [3 marks]


14

W A V E S

SET 1 PAPER 1 3472

Answer : ………………………………

24 Diagram 6 shows the compact disc which has coloured sectors of green, yellow, black, red and blue. The angle size of the blue sector is 70.Rajah 6 menunjukkan satu cakera yang mempunyai sektor-sektor berwarna hijau, kuning, biru, merah dan hitam. Saiz sudut bagi sektor biru adalah 70.

Diagram 6 / Rajah 6

When the disc is rotated, find the size angle of the yellow sector if the probability

that it stops at the yellow or blue sector is .

Apabila cakera diputarkan, cari saiz sudut bagi sektor kuning jika kebarangkalian ia

berhenti pada sektor kuning atau biru adalah .

[3 marks]

Answer: ....................................................

25 Diagram 7 shows a standard normal distribution graph. Rajah 7 menunjukkan satu graf taburan normal piawai.


15

70Blue

Green

YellowBlack

Red

–h 0 k

f (z)

z

SET 1 PAPER 1 3472

Diagram 7/ Rajah 7

If P( z > h ) = 0·0177 and P( z > k ) = 0·0273, find P( –h < z < k ).

Jika P( z > h ) = 0·0177 dan P( z > k ) = 0·0273, cari P( –h < z < k ).

[3 marks]

Answer: ...............................................................

END OF QUESTION PAPER

KERTAS SOALAN TAMAT


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