3472/2 Additional Mathematics Paper 2 [Lihat sebelah SULIT

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1 008 SPM TRIAL EXAMINATION Question Solution and marking scheme. y y P Make y as the subject y y y y y y 6y y y 0 0 Eliminate y y.,..07, /.08, 0.07 / 0.08 y. /.,. /. Solve quadratic equation y 0 y 9 0 using fmula completing the square Answer must crect to decimal places. 7/ Additional Mathematics Paper [Lihat sebelah

2 008 SPM TRIAL EXAMINATION Question (a) 6,8,,... a 6 r 7 6 S7 Solution and marking scheme P Use Sn a( n r ) r.7 6,6,,... a 6 r S 6 P Use a S r (a) f ( ) p q p p p q p p q p p -6 use ² + b ( + b )² ( b ) b use ais of symmetry a 6 q q 7/ Additional Mathematics Paper [Lihat sebelah

3 008 SPM TRIAL EXAMINATION Question Alternative solution Solution and marking scheme p q Comparing coefficient of constant term p 6 q ( 9)( ) 0 Use f ( ) 0 and factization 9 (a) cos tan + sin sin cos + cos sin sin ( sin ) cos cos ( sin ) sin sin cos cos ( sin ) sin cos ( sin ) cos sec sin Use tan cos Use identity sin cos 7/ Additional Mathematics Paper [Lihat sebelah

4 008 SPM TRIAL EXAMINATION Question (i) Solution and marking scheme y y y sin O Negative sine shape crect. P Amplitude [ Maimum and Minimum ] P Two full cycle in 0 P (ii) sin y Draw the straight line y Number of solutions is. 9 7/ Additional Mathematics Paper [Lihat sebelah

5 008 SPM TRIAL EXAMINATION 6 Question (a) Solution and marking scheme 0 0 Use N The mean X The standard deviation 060 Use fmula N F the new and X / Additional Mathematics Paper [Lihat sebelah

6 008 SPM TRIAL EXAMINATION 7 Question 6(a) uuur uuur uuur (i) PR PO OR Solution and marking scheme 6a b % % uuur uuur uuur (ii) OQ OP PQ 6a OR uuur % Use uuur uuur uuur PR PO OR uuur uuur uuur OQ OP PQ 6a 9b % % uuur uuur (i) OS hoq h(6a 9 b) % % uuur uuur uuur (ii) OS OP PS 6a kpr uuur % 6a k 6a b % % % h(6a 9 b) % % 6a k 6a b % % % 6h 6 6k 9h k h k k k h k Equate coefficient of a % b % and Eliminate h k k 8 h / Additional Mathematics Paper [Lihat sebelah

7 008 SPM TRIAL EXAMINATION 8 7(a) log Solution and y log log k n n P log log y Crect aes and scale All points plotted crectly Line of best-fit 6 (i) gradient n intercept log k n (ii) n k. 0 7/ Additional Mathematics Paper [Lihat sebelah

8 008 SPM TRIAL EXAMINATION 9 log 0 y Graph of log 0 y against log log 0 7/ Additional Mathematics Paper [Lihat sebelah

9 008 SPM TRIAL EXAMINATION 0 8. (a) Solving simultaneous equation Solution and P(, ) Q(, 8) Use y y ) d ( ( ) d Integrate y y ) d 6 ( Use crect limit into 6 8 Note : If use area of trapezium and accdingly. yd, give the marks (c) Integrate 0 ( ) d 8 Use crect limit into / Additional Mathematics Paper [Lihat sebelah

10 008 SPM TRIAL EXAMINATION 9(a) Equation of AD : y 6 ( ) Solution and Use m and find equation of straight line y + 0 equivalent y + 0 and y 0 Solving simultaneous equations D(, ) (c) p C(8, ) P Substitute (8, ) into y + q q 0 (d) Area OABC OAD Using fmula 0 OAD Find area of triangle Alternative solution : 0 0 B(0, 0) P Using fmula Area OABC Find area of parallelogram 7/ Additional Mathematics Paper [Lihat sebelah

11 008 SPM TRIAL EXAMINATION 0 Solution and 0(a) 6 sin equivalent 0 POQ POQ. 87 rad Alternative solution : (0)(0) cos POQ Use cosine rule POQ cos 0 0 (0)(0) POQ. 87 rad Using (π.87) Maj arc PQ 0 ( π.87 ) Use fmula s r 9.96 cm (c ) L sect (0). 87 Using fmula L sect r L triangle (0) sin. 87 Using fmula L Δ absin C Lsect - L Δ 6. cm 0 7/ Additional Mathematics Paper [Lihat sebelah

12 008 SPM TRIAL EXAMINATION.99 cm Solution and (a)(i) p, p + q P P( X 0 ) C 0 ( ) 0 ( ) Use P(X r) n C r p r q n r, p + q 0.00 (ii) Using P( X ) P( X ) + P( X ) C ( ) ( ) + ( ) 0.7 b)(i) P ( 0 X 60 ) 0 P ( Z ) use Z X Use P( 0. Z. ) P( Z 0. ) P( Z. ) (ii) Number of pupils P( X 60 ) 8 7/ Additional Mathematics Paper [Lihat sebelah

13 008 SPM TRIAL EXAMINATION 0 Solution and mark. (a) Subst. t 0 into dv dt a 6t ms - dv Use 0 and subst. t in v t t dt [t ] 7 ms /8 ms (c) Integrate s v dt t t Use s 0 (d) Subst. t t in s t t / 7 / 7. S S 7/ Additional Mathematics Paper [Lihat sebelah

14 008 SPM TRIAL EXAMINATION Note : If use vdt, give the marks accdingly. 0. (a) P007 Use I P Solution and mark N,, y z 80 (i) Value of m :, m, 80, 0 equivalent 0 +0m P IiWi Use Î W. i 0 +0m m m 6 (ii) RM. (iii) I. (.. ) 08 / 0 0 7/ Additional Mathematics Paper [Lihat sebelah

15 008 SPM TRIAL EXAMINATION Solution and mark. (a) + y 80 y equivalent equivalent + y 0 y equivalent 00 y y (6,6) y At least one straight line is drawn crectly from inequalities involving and y All the three straight lines are drawn crectly Region is crectly shaded (c) (i) minimum 7/ Additional Mathematics Paper [Lihat sebelah

16 008 SPM TRIAL EXAMINATION 7 (ii) (6,6) Subst. point in the range in 0 + 0y RM (a) Solution and Use area ½ ab sin c in BCD sin BCD mark o 8 /.8 o 0.7 Use cosine rule in ΔBCD BD cos (c) Use sine rule in ΔBCD o sin CBD sin 8' o 0 (d) qqqaaaaaaaaaaaaaaaaaa. Obtain ADB by using 80 o 8 o 0 BAD equivalent s z Use area ADB ½ 6.68 sin ADB Sum of area: 7/ Additional Mathematics Paper [Lihat sebelah

17 008 SPM TRIAL EXAMINATION 8 0 cm + ΔABD cm 0 7/ Additional Mathematics Paper [Lihat sebelah

SULIT /2 ( 2) ( 2) 4(1)( 12) 2(1) Note: 1. If the solutions of x and y are matched wrongly, then SS-1 from full marks.

SULIT /2 ( 2) ( 2) 4(1)( 12) 2(1) Note: 1. If the solutions of x and y are matched wrongly, then SS-1 from full marks. 7/ Modul Peningkatan Prestasi Matematik Tambahan (Kertas ) SPM 6 Zon B Kuching Sarawak y y P Substitute () into () * * y * y y ( ) ( ) ()( ) () ( ) ( ) ()( ) y ().,. y.66,.66 Note:. If the solutions of