w x f y DIAGRAM 1 RAJAH I Dalam Rajah 2, set B menunjukkan imej elemen tertentu set A. > > -5 Set B DIAGRAM 2 RAJAH 2 [ Lihat sebelah 3472/2 SULIT

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1 Answer all questions. Jawab semua soalan 1. Diagram 1 shows the relation of P to Q. Rajah I menunjukkan hubungan di antara P kepada Q. d e w f y z State Nyatakan DIAGRAM 1 RAJAH I (a) The type of the relation. Jenis hubungan. (b) In Diagram, set B shows the images of certain elements of set A. [1 mark] Dalam Rajah, set B menunjukkan imej elemen tertentu set A > > > > Set B Set A DIAGRAM RAJAH

2 Using the function notation, write a relation between set A and set B. Dengan menggunakan tatanda fungsi,tulis hubungan di antara set A dan set B.[1 mark] Answer : (a)... b)... 5 A function is defined as w( ),. Find 5 Fungsi didefinisikan sebagai w( ), (a) w 1 (), (b) w 1 (4) (a) Given function h : 4 m and h : k, where m and k are constants. 8 Find the value of m and k. Diberi fungsi h : 4 m dan 1 5 h : k 8, dengan m dan k adalah pemalar. Cari nilai m dan k. [4 marks] Answer :...

3 4. Determine the types of roots of the following quadratic equations. Tentukan jenis punca persamaan kuadratik berikut Answer : Form a quadratic equation from the roots and 4. Bentukkan persamaan kuadratik daripada punca dan 4. Answer :... (a) Epress the following quadratic equation in general form. Nyatakan persamaan kuadratik berikut dalam bentuk am. ( + 4) = [1 mark] Answer :... (b) Determine the roots of the following quadratic equation by factorization. Tentukan punca persamaan kuadratik berikut melalui pemfaktoran. = [3marks] Answer :...

4 6. (a) (i) State the type of graph. Nyatakan jenis graf 1 mark] y 0 (, Answer 3) :... 7 (a) Diagram 3 shows the graph of a quadratic function f ( ) 3( p), where p is a constant. Rajah 3 menunjukkan graf fungsi kuadratik f ( ) 3( p), di mana p ialah pemalar. y y = f() 0 (1, q) DIAGRAM 3 RAJAH 3

5 The curve y = f() has the minimum point (1, q), where q is a constant. Lengkung y = f() mempunyai titik minimum (1,q) State (i) the value of p, nilai p (ii) the value of q, nilai q (iii) the equation of the ais of symmetry. persamaan paksi simetri Answer: (a). (b) (i) p = (ii) q = (iii). 8. Find the range of the values of for Answer:. 9. Solve the equation Answer:. 10. Simplify 1 log log Answer:.

6 11. Find the number of terms in the arithmetic progression 0, 17, 14,..., 3. Answer : The third term of a geometric progression is 16. The sum of the third term and the fourth term is 18. Find (a) the first term and the common ratio of the progression, (b) the sum to infinity of the progression. [4 marks] Answer :(a)... (b) (a) Find the distance between P(4, ) and Q( 5,1). [1 mark] Answer :(a)... (b) A(h, h), B(p, t), and C(p, 3t) are three points on a straight line. B divides AC internally in the ratio : 3. Epress p in terms of t. Answer :

7 14. Solution to this question by scale drawing will not be accepted. Diagram 4 shows the triangle AOB where O is the origin. Find the area of triangle OAB. Penyelesaian melalui lukisan berskala tidak akan diterima. Rajah 4 menunjukkan segitiga AOB dengan O ialah pusat bulatan. Cari luas segitiga OAB. A( 3, 4) y O B(6, ) DIAGRAM 4 RAJAH 4 Answer : If tan A, cos B and it is given that A and B lie in the same quadrant, find the 1 3 value of the following without using calculator. 5 1 Jika tan A, cos B dan diberi bahawa A dan B terletak pada sukuan yang sama, 1 3 cari nilai yang berikut tanpa menggunakan kalkulator. (a) sin A (b) tan B Answer :

8 y Diagram 5 shows a linear graph of against. The equation is y = a + b. Find the value of a and b from Diagram 5. y 1 Rajah 5 menunjukkan graf melawan. Persamaan ialah y = a + b. Cari nilai a dan b dari Gambarajah 5. y (8, 10) 0 DIAGRAM 5 RAJAH 5 (3, 0) Diagram 6 shows a triangle OAB such that OA = a, Rajah 6 menunjukkan sebuah segitiga OAB dengan keadaan AP = AB P A Answer : OB = b and AP = AB OA = a, OB = b dan B DIAGRAM 6 RAJAH 6 O

9 Find OP in terms of a and b Cari OP dalam sebutan a dan b Answer : Diagram 7 shows vectors OR, OS and OT drawn on a Cartesian plane. Rajah 7 menunjukkan vektor OR, OS dan OT dilukis pada satah Cartes. y T(8, 5) R(1, ) O DIAGRAM 7 RAJAH 7 S(3, 1) Find the value of m and n such that OR mos n OT. Cari nilai m dan n dengan keadaan OR mos n OT. Answer :

10 dy 19. If 4 1and y = 3 when =, epress y in term of. d dy Jika 4 1 dan y = 3 apabila =, nyatakan y dalam sebutan. d Answer : Given the curve f ( ) 8 3. Find the maimum point of the curve. Diberi garislengkung f ( ) 8 3. Cari titik maksimum garislengkung. Answer : Given that r cm is the radius of a sphere. Calculate the approimate change in its area when the radius increases from 8 cm to 8.00 cm. Diberi bahawa jejari sfera ialah r cm. Hitung perubahan kecil dalam luas apabila jejari bertambah dari 8cm kepada 8.00 cm. [4 marks] Answer :

11 . Diagram 8 shows a sector OPQ with centre O. Find the Rajah 8 menunjukkan sektor OPQ dengan pusat O. Cari (a) arc length of PQ. panjang lengkung PQ (b) area of the sector OPQ. luas sektor OPQ. P O 75 7 cm Q DIAGRAM 8 RAJAH 8 Answer: A bo contains 3 blue balls, 4 red balls and 5 white balls. Three balls are drawn, one after the other, from the bo at random. What is the probability of drawing Sebuah kotak mengandungi 3 bola biru, 4 bola merah dan 5 bola putih. Tiga bola dipilih satu demi satu dari kotak secara rawak. Apakah kebarangkalian memilih (a) 3 blue balls. 3 bola biru. (b) 3 red balls. 3 bola merah. [4 marks] Answer :

12 4. How many ways are there to seat 3 boys and 4 girls on a row of 7 chairs if Berapakah bilangan cara untuk menempatkan 3 lelaki dan 4 perempuan dalam satu baris yang mengandungi 7 kerusi, jika (a) two of the girls are to sit at the ends. dua perempuan ditempatkan pada hujung. (b) the three boys are to sit together. tiga lelaki ditempatkan bersama. [4 marks] Answer : If Z is the random variable of the normal distribution N(0,1), find Jika Z ialah pembolehubah rawak normal N(0,1), cari (a) P(0.35 Z 1.75) (b) P( 1.40 Z 0.6) [4 marks] Answer :