Page 45 - Ranger SPM 2022 - Additional Mathematics
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Additional Mathematics  SPM  Answers
                                                              3
                CHAPTER 3    Systems of Equations         9.  3
                                                             9
                                                         10.
                                                             5  5 – 3
                                                         11.  log 10   25
               Quiz on page 42                                   4
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               2x + y + z = 24                           12.  –2
                                                         14.  x = 0.93
                 SPM PRACTICE                            15.  x = 2, x = 64
                Paper  2                                 Paper  2
                  1.  x = 1, y = 2, z = -1                1.  x = 3, y = –   1
                  2.  m = -3, n = 2, p = –5                          2
                                                                    2
                                                                         1
                  3.  x = 3.40, y = -0.267; x = 0.881, y = 1.41    2.  (b)  x = –   , y =
                                                                         6
                                                                    3
                  4.     1 4  , 6 1  , (4, 14)          3.  (b)  x = 9, x = 81
                       2
                  5.  Price of a piece of curry puff = RM0.70       (c)  x = –2, x = 0
                     Price of a packet of nasi lemak = RM1.70    4.  (a)  0.3679   (b)  0.1353
                     Price of a glass of orange juice = RM0.60    5.  (a) 100 g   (b)  155.2 g  (c)  19 hours
                  6.  Length = 54.4 m, width = 12.5 m
                  7.  18 and 51                           6.  x =   9 + 13  , x =   –5 + 13
                  8.  x = 8, y = 20                       7.  3 + 2 34    6
                                                                 2
                                                               1
                  9.  A(-3, 5), B  7 3   , -3           8.  1 +  2
                                                               2
                 10.  a = 30.5°, b = 5.5°, c = 133°       9.  –6 + 5
                                                                  2
                 11.  x = 11.5                           10.  4 –   cm
                                                                3
                     17 ,   4                                 1                     3 + y
                 12.  -   29 29                           11.  (a)   x + 2y  (b)  x – 2   (c)
                 13.  x = 24, y = 36                           9 2   3                 2
                 14.  Mass of the block X = 8 kg         12.  x =  , y =
                                                                     2
                                                               4
                     Mass of the block Y = 2 kg                                       1
                                                         13.  (a)  ln a = 3p, ln b = p   (b)
                15.  (b)  a  =  48.2  and  b  =  51.2.  Both  average                 3
                       speed, a and b did not exceed 60 km h ,    14.  (a)  c  0, c ≠ 1      (b)  q =   1
                                                   -1
                       thus, the owner of the car will not receive                       p 2
                       summons.                          15.  (a)  I = 170. 170°C is the initial temperature.
                                                            (b)  4.159
                CHAPTER 4    Indices, Surds and Logarithms  CHAPTER    Progressions
               Quiz on page 54                             5
               x = 3.597                                Quiz on page 66
                                                        5 050
                 SPM PRACTICE
                                                          SPM PRACTICE
                Paper  1
                  1.  x = 2                              Paper  1
                  2.  q =   p 2                           1.  (a)  8, 20, 32, …   (b)  12
                      16
                    5 6 2
                  3.  3 x y                               2.  (a)  168       (b)  39
                  4.  y = 4                               3.  (a)  k = h + 1   (b)  13h + 33
                      3
                  6.  11                                4.  (a)  3         (b)  103, 107, 111
                     5  5
                  7.  –    +   3                        5.  (a)  60        (b)  –17
                     2  2
                                                    308





         4 Jawapan Ranger Mate Tambahan.indd   308                                          25/02/2022   9:32 AM
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