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[edu.joshuatly.com] Gerak Gempur Perak 2010 SPM Add Maths SET 2.pdf

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SULIT 3472/1 Additional Mathematics Set 2 (P1) 2010 2 hours Name: ________________________ Class: ________________________ JABATAN PELAJARAN NEGERI PERAK GERAK GEMPUR SIJIL PELAJARAN MALAYSIA 2010 Additional Mathematics SET 2 (Paper 1) Two Hours Question Full Marks Question Full Marks 1 2 14 2 2 2 15 4 3 4 16 3 4 2 17 3 5 4 18 3 6 4 19 4 7 3 20 3 8 4 21 4 9 4 22 3 10 2 23 4 11 2 24 4 12 4 25 3 13 3 Total Marks 80 Marks Obtained This qu
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  SULIT 3472/1 Name: ________________________  Additional Mathematics Set 2 (P1) Class: ________________________ 2010 2 hours JABATAN PELAJARAN NEGERI PERAK GERAK GEMPUR SIJIL PELAJARAN MALAYSIA 2010  Additional Mathematics SET 2 (Paper 1) Two Hours Question Full Marks Marks ObtainedQuestionFull Marks Marks Obtained 1 2 14 2 2 2 15 4 3 4 16 3 4 2 17 3 5 4 18 3 6 4 19 4 7 3 20 3 8 4 21 4 9 4 22 3 10 2 23 4 11 2 24 4 12 4 25 3 13 3 Total Marks 80 This questions paper consists of 13 printed pages. http://exammy.com/ http://edu.joshuatly.com   SULIT Gerak Gempur 2010 INFORMATION FOR CANDIDATES 1. This question paper consists of 25 questions. 2.  Answer all  questions. 3. Give only one  answer for each question. 4. Write your answers clearly in the spaces provided in the question paper. 5. Show your working. It may help you to get marks. 6. If you wish to change your answer, cross out the work that you have done. Then write down the new answer. 7. The diagrams in the questions provided are not drawn to scale unless stated. 8. The marks allocated for each question are shown in brackets. 9.  A list of formulae is provided on pages 4 to 6. 10. You may use a non-programmable scientific calculator. 11. This question paper must be handed in at the end of the examination. 2 http://exammy.com/ http://edu.joshuatly.com   SULIT Gerak Gempur 2010 The following formulae may be useful in answering questions. The symbols given are the ones commonly used. ALGEBRA 1. x = aacbb 24 2 −±−  8. log a  b = ab cc loglog  2. a m  x a n  = a m+n   9.  T  n  = a + (n −  1)d 3.  a m ÷ a n  = a m − n   10. S  n  = 2 n [2a + (n − 1)d] 4. (a m ) n  = a mn  11. T  n  = ar  n − 1 5. log a   mn  = log a   m + log a   n  12. S  n  = 1)1( −− r r a n  = r r a n −− 1)1( , r    ≠  1 6. log a   nm   = log a   m  – log a   n 13. S  ∞  = r a − 1 , r   < 1 7. log a   m n  = n log a  m   CALCULUS 1.  y = uv , dxdy  = u dxdv  + v dxdu  4. Area under a curve = ∫ dx or = dy ba  y ∫ ba  x 2. y = vu , dxdy  = 2 vdxdvudxduv  −  5. Volume generated 3. dxdy  = dudy  x dxdu  = ∫ y ba π  2  dx or = ∫ x ba π  2  dy GEOMETRY   1. Distance= 212212 )()(  y y x x  −+−  4. Area of triangle = 21 ( ) ( ) 312312133221  y x y x y x y x y x y x  ++−++  2. Midpoint ( ) =  y x ,  ⎟ ⎠ ⎞⎜⎝ ⎛  ++ 2,2 2121  y y x x  5. r  = 22  y x  +  3. A point dividing a segment of a line 6. r  ˆ = 22  y x j yi x ++   ( )  ⎟ ⎠ ⎞⎜⎝ ⎛ ++++= nmmynynmmxnx y x 2121 ,, 3 http://exammy.com/ http://edu.joshuatly.com   SULIT Gerak Gempur 2010 STATISTICS   1.  x  =  N  x ∑  8.  I   = ∑∑ iii W  I W   2.  x  = ∑∑  f  fx  9. = r n P )!(! r nn −   3. σ  =  N  x x 2 )( ∑  −  = 22  x N  x − ∑  10. = r n C  !)!(! r r nn −   4. σ  = ∑∑  −  f  x x f  2 )( = 22  x f  fx − ∑∑  11. )()()()(  B AP BP AP B AP  ∩−+=∪  12. 5. 1,)(  =+==  − q pq pC r  X P r nr r n C  f F  N  Lm m ⎟⎟⎟⎟ ⎠ ⎞⎜⎜⎜⎜⎝ ⎛ −+= 21  13. Mean , μ  = np  6. 01 QQ I   =  x 100 14. σ  = npq  7. ∑∑ = W  IW  I   15. σ  −=  X  Z    TRIGONOMETRY   1. Arc length, θ  r s  =  8. sin )(  B A ± =sin  A  cos  B  cos  A sin  B   ± 2. Area of sector, θ  2 21 r  A  =  9. cos )(  B A ± =cos  A  cos  B  sin  A  sin  B   m 3. sin 2  A  + cos 2  A  = 1 10. tan )(  B A ± =  B A B A tantan1tantan m ±  4. sec 2  A  = 1 + tan 2  A  11. tan 2  A  =  A A 2 tan1tan2 −  5. cosec 2  A  = 1 + kot 2  A  12. C c Bb Aa sinsinsin ==  6. sin 2  A  = 2 sin  A cos  A  13. cos  A   bccba 2 222 −+=  7. cos 2  A  = cos 2  A −  sin 2  A  14. Area of triangle = ab 21 sin C   = 2 cos 2  A   −  1 = 1 −  2sin 2  A 4 http://exammy.com/ http://edu.joshuatly.com 

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