Jawapan Add Maths Spm 2011

Soalan ramalan cikgu VEN. BUAT DEMI MASA DEPAN KAMU.PENTING JUJUR DAN IKHLAS.SELAMAT MENGHADAPI SPM 2011 DENGAN

CEMERLANG.SELAMAT

JAWAPAN SEMINAR SPM 2011ADDITIONAL MATHEMATICS

( PAPER 1 )KHAS UNTUK PELAJAR CIKGU VEN

SEMBAHYANG MENGIKUT WAKTU & SAYANGI IBU BAPA KAMU TANDA KECEMERLANGAN SPM

M/S : 41. a) { B , D }

b) Many to OneM/S : 5/62. a) 1

b) { 1 , 2 , 3 }3. a) k = 4

b) { ( 1 , 1 ) , ( 2 , 4 ) , ( 4 , 16 ) , ( 6 , 36 ) }M/S : 7/84. a) – 2 ≤ x ≤ 5

b) 0 ≤ f ( x ) ≤ 55. a) { ( 3,10 ) , ( 4 , 17) , ( 5 , 26 ) , ( 6 , 37 ) }

b) f( x ) = x2 + 1 M/S : 9/106. a) k = 5

b) f ( x ) = x2 + 1 7. a) 4

b) 11M/S : 11/128. a) Many to One

b) f ( x ) = x2 9. a) 3 and 6

b) 2c) One to Many

M/S : 1410. a) x + 3 b) x = 3

4M/S : 15/1611. n = ½ m = 612. a) – 2 b ) x = 1 M/S : 17/18


CEMERLANG.SELAMAT

13. a) h = 3 b ) x = 414. a = 4 and – 4 M/S : 19//2015. k = ½ n = -- 1 16. x = 5 and x = -- 2 17. a) x = 2 b ) 4M/S : 21/2218. n = 1/3 m = -- 9/4 19. a) x = ½ b ) x = -- ½ M/S : 23/2420. a) 4x + 2 b ) x = -- 2/321. a) 2x – 7 b ) x = 2 22. a) 3x + 7 b ) – 5M/S : 25/2623. k = ½ p = 1824. a = 3 b = 1 M/S : 27/ 2825. a) 2x + 5 b ) x = 5/226. m = 2 and – 2 , n = 3 and – 9 27. k = 8M/S : 30 28. x = 2.137 , x = -- 1.637

M/S : 31/3229. k = 2 and – 130. 15x2 + x – 2 = 0 31. k = 38M/S : 33/3432. ß = 2 , k = -- 3 33. m = -- 3 , n = 10M/S : 35/3634. p = 4 , q = -- 3 M/S : 37/3835. k < -- 2/3 or k > 2 36. p > 137. 1 ≤ x ≤ 538. p < 7/4


CEMERLANG.SELAMAT

M/S : 39/4039. x ≤ -- 4 or x ≥ 940. x < -- ½ or x > 741. 0 < p < 242. -- 1 ≤ x ≤ 4 M/S : 41/4243. k < - 2/3 or k > 2 44. m > 1 M/S : 4445. a) k = 8 , p = 2 , m = -- 1 b) x = 2 M/S : 45/4646. a) m = 1 b) x = 1 c ) ( 1 , 4 )47. k = 3848. x2 – 6x – 12 = 0M/S : 47/4849. -- 2 ( x – ¾ )2 + 17/8 50. m = -- 2 , k = 1051. a) m = 1 b ) x = 1 c ) ( 1 , 8 )M/S : 49/5052. a = 1 , b = -- 2 , c = 3 53. k = 7 , p = -- 2 M/S : 51/52 54. a) h = -- 2 , k = 6 b ) c = 455. a) x = 1 b ) ( x – 1 )2 + 4 M/S : 53/5456. a) m = 1 b ) x = 1 c ) ( 1 , 4 )57. a) p = 2 b ) x = 2 c ) ( 2 , 5 )M/S : 55/5658. a) p = 5 , h = -- 2 , k = 3 b) y = - 5 ( x – 2 )2 - 3

c) y = 5 ( x – 2 )2 + 3 59. a) p = 1 b ) q = -- 4 c ) ( 1 , -- 4 )M/S : 57/5860. p = 2 or – 2 61. a) p = -- 1 b ) q = 5 c ) x = 1 M/S : 59/6062. a) k = 8 ., p = 2 , m = -- 1 b) x = 2 M/S : 61/6263. x = 264. x = ½


CEMERLANG.SELAMAT

M/S : 63/6465. 2q – p – 1 66. r + 3t – 4 3M/S : 6667. x = 1.188M/S : 67/6868. x = -- 169. k = p + 5

8

70. p = m + 2 3

71. p = 3h + 2 2M/S : 69/7072. x = -- ½ 73. x = 2 74. x = 1.631 x = 1 75. X = 2.322M/S : 71/7276. x = 4/3 77. y = 2x 78. x = 3 79. y = 2x M/S : 73/7480. x = 381. p = q

2782. 2/383. 2M/S : 75/7684. k = h + 5

885. k = √ m + 3 986. 3r + 1 – 2p 87. 2k + h + 1 2h + k


CEMERLANG.SELAMAT

M/S : 77/7888. p + 1 – q 89. 2k + 1 – 4h90. 2m + n

2M/S : 8091. p = 10 , d = 3M/S : 81/8292. a) m = 3/2 b ) r = 1/3 M\S : 83/84 93. a) r = 2 b) 2047.594. a) 1 b) 37M/S : 8695. k = 9 m = 11M/S : 87/8896. r = ¾97. a = 12 , r = 1.598. a) a = 3 b ) r = 2M/S : 89/9099. a) r = 2/3 b ) 243M/S : 91/92100.q = 3101.a) y/x2 = 5 – 4/x b ) p = 5 , q = -- 3 M/S : 93/94102.a) y/x = p + 3 b ) q = 3 , p = 2 M/S : 95/96103.3x2 + 3y2 – 2x – 18y + 10 = 0 104.3x2 + 3y2 – 26x – 36y + 131 = 0 M/S : 97/98 105.( 9 , 7 )M/S : 99/100106.m = 11 – 3n 107.h = -- 3/2 M/S : 101/102108.a) AB = 15i + 5j b) 15i + 5j / 3i + j


CEMERLANG.SELAMAT

√ 250 √ 10

M/S : 103/104109.k = -- 4110.a) -- 3 b) -- 7i + 3j 5M/S : 105/106111.k = -- 4/3 112. a) 8 b ) m = --12 , n = -- 4

6 113. a) 6 b) 6i + 8j / 3i + 4j

8 10 5

114.p = -- 7Question 107/108115.a) k = 1 b ) k = 9116. a ) AB = 5i + 12j or 5 b) 5i + 12 12 13117.m = 8 , n = -- 10118.p = -- 1 q = 11M/S : 109/110119.a) p = -- 7 b ) p = -- 5120.p = 15 q = 15121.a = 4 or a = -- 3 M/S : 113/114 122.1.401M/S : 115/116123.r = 7124.a) 2.531 rad b) 45.56M/S : 117/118125.a) 0.6435 rad b ) 2.044126.a) 1.135 rad b) r = 12.78

M/S : 119/120127. a) 1.842 rad b) 23.03128.a) 1.222 rad

b) r = 15 M/S : 121/122129.a) 0.9273 rad


CEMERLANG.SELAMAT

b) 22.37M/S : 123/124130. 3 131. 0.05968M/S : 125/126132. 20133. -- 2 134. ∏ 2p135. k = -- 15 M/S : 127/128136. k = -- 1 137. –4 ( 2x – 1 )2

138. 2x ( 8x + 1 ) ( 2x + 1 )5 139. 1/6M/S : 129/130140. -- 2/3141. 12142. y = --6x + 8143. ( ¾ , ¼ )

M/S : 131/132144. k = 3145. P ( 2 , --4 )146. x – 1 147. 16

( 2x – 5 )3

M/S : 133/134148. – 6 ( 3x – 5 )3 149. 324 ( 3x – 1 )5 150. k = 3 M/S : 135/136151 . k = -- 2/3 n = -- 3 152. p = 2153. -- 16


CEMERLANG.SELAMAT

154. k = 1/18 n = 6 M/S : 137/138155. a) 3 b ) k = 10156. s = 2t2 + 3t – 2 157. m = -- 2.372M/S : 139/140158. k = 4159. k = 4M/S : 141/142160. k = 16/5161. m = 11 or m = 2 162. k = 30 + 4h 4

M/S : 143/144163. a) 32 b ) 126.56164. m = √ 121 – 4n2 165. a ) m = 7 b ) 20M/S : 145/146166. a) 7 b ) 3.435167. 3 – 1 = 2 M/S : 147/148168. a) 30 b ) 7.416169. x = 18.43 , 71.57 , 198.43, 251.57170. x = 45, 75.96 , 225, 255.96M/S : 149/150171. x = 63.43,161.57,243.43,341.57172. A = 60 , 131.81 , 228.19 , 300173. x = 120 , 180 , 240174. a) √ 1 – p2 b) 2p √ 1—p2 PM/S : 151/152175. a) -- 5/13 b ) 16/65176. a) -- 24/25 b ) – 3/5177. a) √ 1 – p2 b ) p178. a ) 2k √ 1 – k2 b ) k = ¼ M/S : 153/154179. a) -- 22/ √ 509 b ) – 0.2633


CEMERLANG.SELAMAT

180. k = 4181. a) 0.1237

b) 0.9502 M/S : 155/156182. h = 2m – 4183. a) 180 b ) 6 √ 2

M/S : 157/158184. x = 1 185. a) 2 b ) 0.99

M/S : 159/160186. a ) k = 0.85 b ) 60187. a) 33 b ) 0.9902188. a) z = 1 b ) 0.3413M/S : 161/162189. a) 59 b ) 78.81%190. a) 60 b ) 66.16%M/S : 163/164191. a) 0.1038 b ) k = 1.26192. a) k = 0.678 b ) 82.034M/S : 165/166193. a) 0.8708 b ) k = -- 1.13194. a) 120 b ) 144M/S : 167/168195. a) 700 b ) 708196. 2 : 3197. p = 3 or p = -- 4 198. k = 1 s = -- 6M/S : 169 ( TAMAT )199. p = t200. a) r = 14 b ) t = 17/5201. b = 8

Jawapan Add Maths Spm 2011

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