Page 18 - Modul A+1 Matematik Tingkatan 5
P. 18

BAB   1                          7.  A                                 Apabila/When y = 8, x = 25,
                                                                                              k
                                                        Q ∝ M  dan/and Q ∝   1             8 =
                                                            2
                 Soalan Berformat SPM                                  H                      25
                Kertas 1/Paper 1                        ∴ Q ∝  M  2                        8 =   k 5
                  1.  B                                       H                            k = 40
                     R ∝ T 2                         8.  B                                    40
                     R = kT 2                           p ∝ r                              y =
                   2.  A  x                             p = kr                                 x               40
                     w ∝   p                            Apabila/When p = 2, r = 7,         Apabila/When x = 144,  y  =   144
                         q y                            2 = k(7)
                         p 3                                                                                =  40
                     w ∝                                   2                                                  12
                          q                             k =   7
                         p 3                                                                                =  10
                     w ∝                                     2r                                               3
                          1                             ∴ p =
                         q 2                                 7                          13.  C  z 2
                     ∴ x = 3, y =   1                9.  C                                 x ∝   y
                              2
                  3.  D                                 v  ∝   1                           x =   kz 2
                     x ∝   1                                y                                 y
                         1                                  k
                        y 3                             v  =                               Apabila/When x = 36, y = 2, z = 3,
                        k                                   y                                  k(3) 2
                     x =   1                                                                36 =
                        y 3                             Apabila/When v = 8, y = 9,           k = 8  2
                     Apabila/When x = 10, y = 1,        8 =   k                               8z 2
                      10 =   k 1                           k 9                             x =   y
                         1 3                            8 =   3
                       k = 10                           k = 24                             Apabila/When x = m, y = n, z = 10,
                                                                                                   2
                                                                                               8(10)
                       x =   10 1                       v =   24                             m =   n
                         y 3                                y                               mn = 800
                     Apabila/When x = 5, y = m,         Apabila/When y = 49, v =   24   =   24    14.  A
                          10                                             49   7                1
                       5  =   1                                                            y ∝
                          m 3                        10.  A                                   2x – 3
                                                                                               k
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                                                            3
                      m 3   = 2                         v ∝   r                            y =  2x – 3
                       m  = 2 3                            t 3
                          = 8                           v =   kr                           Apabila/When y = 10, x = 2,
                                                                                                 k
                  4.  C                                    t                                10 =   2(2) – 3
                                                                     1
                       2
                      V  U  = k                         Apabila/When v = 1 , r = 3, t = 6,
                           k                                         2                      k = 10
                       U  =                             3  k(3) 3                               10
                           V 2                             =                               ∴ y =  2x – 3
                       U  ∝   1                         2   6
                           V 2                          3   9k                             Apabila/When y = –2,
                     ∴  U  berubah secara songsang dengan   2   =   2                               10
                       kuasa dua V.                     k =   1                                –2 =  2x – 3
                        U varies inversely as the square of V.  3                            – 4x + 6 = 10
                   5.  D                                v =   r 3                             – 4x = 4
                       s ∝   1                             3t                                   x = –1
                         v                                                  4 3
                         k                              Apabila/When r = 4, t = 8, v  =  3(8)    15.  C
                       s =
                         v                                                =  8                P     18     25     18
                     Apabila/When s = 15, v = 4,                            3
                         k                           11.  B                                   Q      1      2     4
                      15  =
                         4                                 x      2      3      4             R      6     10     12
                       k  = 60
                         60                                y      8     18     32            PQ      1      1     1
                       s  =   v                            y                                  R 2    2      2     2
                     Apabila/When s = 5,    5 =   60       x 2    2      2      2
                                       v                                                    PQ   1
                                    v = 12               y                                    R 2  =   2
                  6.  C                                    x 2  = 2                           P =   R 2
                       x     1    2     3    4            y = 2x 2                               2Q
                                                                                                 2
                       y     3    12   27    48         ∴ y ∝ x 2                          ∴ P ∝   R Q
                       y                             12.  C
                       x 2   3    3     3    3          y ∝   1                         16.  A
                      y                                     x                              t ∝   1
                        2   = 3                                                               y
                      x                                    k
                       y  = 3x 2                        y =   x                            t =   k
                     ∴ y ∝ x 2                                                               y
                                                                  J-1




         Jaw Guru ModulA+ Matematik Tg5.indd   1                                                                  21/10/2021   4:15 PM
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