MODUL TUDINGAN NEGERI JOHOR

MODUL TUDINGAN NEGERI JOHOR2014

KERTAS 1SET 1NAMA :MARKAH

TARIKH :

For examiners use onlyAnswer all questions.Jawab semua soalan.

1. The diagram shows the relation between set X and set Y.Rajah menunjukkan hubungan di antara set X dan set Y.

xg(x)x

2 2 3 4

x

1

6 4

Set YSet X

State /Nyatakan(a) The range of the relationJulat hubungan itu(b) The value of xNilai x [2 marks][2 markah]Answer / Jawapan :

21

2. Given the function g : x . Find the values of x if g(x) = 4. [2 marks]

Diberi fungsi g : x . Cari nilai-nilai x jika g(x) = 4. [2 markah] Answer / Jawapan :

22

34

34343.

For examiners use onlyGiven the functions f(x) = 4x m and , where k and m are constants. Find the values of k and m. [3 marks]

Diberi fungsi f(x) = 4x m dan , dimana k dan m adalah pemalar. Cari nilai-nilai bagi k dan m. [3 markah]

Answer / Jawapan :

33

4. Diagram shows a graph of a quadratic function f(x) = 2(x + h)2 2 where k is a constant.

yRajah menunjukkan graf fungsi kuadratik f(x) = 2(x + h)2 2 dimana k ialah pemalar.

x

(-3, k) 0

f(x) = 2(x + h)2 2 FindCari

(a) the value of knilai k

(b) the value of hnilai h

(c) the equation of axis of symmetry.persamaan bagi paksi simetri. [3 marks][3 markah] Answer / Jawapan :

222222

34

5. For examiners use onlyFind the values of p if the quadratic function f(x) = 2x2 + 2px (p + 1) has a minimum value of 5 Cari nilai-nilai bagi p jika fungsi kuadratik f(x) = 2x2 + 2px (p + 1) mempunyai nilai minimum 5. [3 marks / 3 markah]Answer / Jawapan :

35

6. Find the range of values of x for [2 marks]

Cari julat nilai x bagi [2 markah] Answer / Jawapan :

26

7.

For examiners use onlyOne of the roots of the quadratic equation is 4. Find the value of k. [2 marks]

Satu dari punca persamaan kuadratik ialah 4. Cari nilai k. [2 markah]

Answer / Jawapan :

27

8. One of the roots of the equation 3x2 6x + p = 0 is three times the other root , find the possible values of p. [3 marks]Salah satu punca bagi persamaan 3x2 6x + p = 0 adalah tiga kali punca yang satu lagi, cari nilai yang mungkin bagi p. [3 markah] Answer / Jawapan :

38

9.

For examiners use only Solve the equation . [3 marks]

Selesaikan persamaan [3 markah]

Answer / Jawapan :

39

10. Solve the equation 2x 5x +2 = 25000. [3 marks]Selesaikan persamaan 2x 5x +2 = 25000. [3 markah]

Answer / Jawapan :

310

For examiners use only11. Solve the equation log2 (x 3) = log2 4x + 1 [3 marks]Selesaikan persamaan log2 (x 3) = log2 4x + 1 [3 markah]

Answer / Jawapan :

311

12. Given that log2 x = m and log2 y = n. Express log4 (xy2) in terms of m and n. [3 marks]Diberi log2 x = m dan log2 y = n. Nyatakan log4 (xy2) dalam sebutan m dan n. [3 markah]

Answer / Jawapan :

412

13. For examiners use onlyFind the sum to infinity of the geometric progression 20, 10, 5, ... [2 marks]Cari hasil tambah ketakterhinggaan janjang geometri 20, 10, 5, ... [2 markah]

Answer / Jawapan :

213

14. Given a geometric progression has the first term and the sum to infinity are 25 and 62.5 respectively. Find the common ratio of the progression. [2 marks]Diberi satu janjang geometri mempunyai sebutan pertama dan hasil tambah hingga ketakterhinggaan adalah 25 dan 62.5 masing-masing. Cari nisbah sepunya bagi janjang tersebut. [2 markah]

Answer / Jawapan :

214

15. For examiners use onlyWrite 0.01010101... as a single fraction in the lowest terms.[3 marks] Tulis 0.0101010... sebagai satu pecahan tunggal dalam sebutan terendah.[3 markah]Answer / Jawapan :

315

16.

The diagram below shows two vectors and .

P( 2 , 5)Q(4 , 3 )xyRajah di bawah menunjukkan dua buah vektor dan .

Express Ungkapkan

(a)

in the form .

dalam bentuk .

(b)

in the form

dalam bentuk [4 marks][4 markah]Answer / Jawapan :

416

17.

For examiners use onlyGiven , and , find the values of a and m. [3 marks]

Diberi , dan , cari nilai bagi a dan m. [3 markah]

Answer / Jawapan :

317

18.

Points A, B and C are collinear. It is given that and , where k is a constant. Find

Titik A, B dan C adalah segaris. Diberi bahawa dan , dengan keadaan k adalah pemalar. Cari

(a) the value of knilai k

(b) the ratio AB : BCnisbah AB : BC [4 marks][4 markah]Answer / Jawapan :

418

Jawapan/Answer :NoAnswer

1(a) { 2, 2, 3, 6} (b) x = 0

2x = 1, x = 9

3

k = , m =

4(a) k = 2 (b) h = 3(c) x = 3

5 4, 2

6

7k = 44

8

,

9x = 5

10x = 3

11x =

12

1340

14 0.6

15

16(a)

(b)

17a = 2 , m = 6

18(a) k = (b) AB : BC = 3 : 2

Panel Perunding Mata Pelajaran Matematik Tambahan, Jabatan Pelajaran JohorPage 9