Page 20 - 1202 Question Bank Mathematics Form 4
P. 20

Given minimum point is (−2.5, −2.25),     Side length of triangle = 5 – 1  Paper 2
                     Axis of symmetry, x =  –2.5.                    = 4 cm
                              2
                  (c)  When f(x) = x  + 5x + 4 is reflected    19.  Area of square – Area of triangle = 40  Section A
                    in the x-axis, the quadratic function       1                 1.  (a)  4 2   (b)  6 2
                                                                        ]
                                2
                    change to f(x) = –x  – 5x – 4 where the   2y(2y) –  [ 2 (y + 2)(2y)  = 40  (c)  8 1   (d)  2 5
                    value of a will change to −a.
                                                             4y  – y  – 2y – 40 = 0    2.  (a)  3 × 7  = 21   (b)  4 × 5  = 500
                                                               2
                                                                 2
                                                                                                        3
                                                                                          1
               14.       Price = RM300                          3y  – 2y – 40  = 0  (c)  7 × 9  = 63   (d)  2 × 3  = 162
                                                                 2
                                                                                                        4
                                                                                          1
                    (8x + 14)(5x) = 300                       (3y + 10)(y – 4) = 0            0    1
                                                                                        4
                    2
                  40x  + 70x – 300 = 0                10                          3.  (a)  32  = 2 × 4  + 3 × 4
                                                                                         = 2 + 12


                    (x – 2)(4x + 15) = 0           x = –  3   (Rejected) or y = 4
                                   15                                                     = 14
                            x = 2, x = –    (Rejected)  Perimeter of the combination objects
                                    4                                               (b)  11101 2
                                                                                                 1
                                                                                                      2
                                                                                                            3
                                                                                           0
                  Number of text books bought by Sofea   = (4 + 6) + (4 + 2) + [3 × 2(4)]     = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  +
                    ©PAN ASIA PUBLICATIONS
                                                   = 10 + 6 + 8 + 8 + 8
                  = 8(2) + 14                      = 40 cm                              1 × 2 4
                  = 30 books                                                           = 1 + 4 + 8 + 16
                                                        1
                                                20.  (a)  L =   (y)(y + 4)             = 29
               15.    Volume of the box = 4 500         2                           (c)  413  = 3 × 5  + 1 × 5  + 4 × 5   2
                                                                                                    1
                                                                                              0
                                                        1
                      (x + 5)(x)(30) = 4 500          L =   (y  + 4y)                     5  = 3 + 5 + 100
                                                           2
                   30x  + 150x – 4 500 = 0              2                                 = 108
                    2
                                                        1
                       2
                      x  + 5x – 150 = 0               L =   y  + 2y                 (d)  624  = 4 × 7  + 2 × 7  + 6 × 7   2
                                                          2
                                                                                                    1
                                                                                              0
                     (x – 10)(x + 15) = 0               2                                 7  = 4 + 14 + 294
                              x = 10, x = –15      (b)  Area of triangle = 48             = 312
                                  (Rejected)             1 2  y  + 2y = 48
                                                           2
                  Thus, the value of x is 10 cm.      1                           4.  (a)  534  to base two
                                                                                         10
                                                        2
               16.     Area of the box = 432          2  y  + 2y – 48 = 0              2   534  Remainder
                                                        2
                    (2x + 4)(3x + 3) = 432             y  + 4y – 96 = 0
                   2
                  6x  + 12x + 6x + 12 = 432           (y + 12)(y – 8) = 0              2   267      0
           CHAPTER 1 – CHAPTER 2
                      2
                    6x  + 18x – 420 = 0                       y = 8, y = –12           2   133      1
                       2
                       x  + 3x – 70 = 0                           (Rejected)
                     (x + 10)(x – 7) = 0              Thus,  y = 8 cm.                 2    66      1
                             x = 7, x = –10        (c)  Area of the polygon = 6 × 48   2    33      0
                                  (Rejected)                       = 288 cm 2          2    16      1
                  Substitute x = 7,                   Thus, the area of polygon is 288 cm   2
                  Diameter 4 balls = 3(7) + 3         and its name is hexagon.         2     8      0
                             = 21 + 3           21.  (a)  L = (35 + y)(65 + y)         2     4      0
                                                                      2
                             = 24 cm                  L = 2 275 + 65y + 35y + y
                                                         2
                  So, diameter 1 ball = 24 ÷ 4        L = y  + 100y + 2 275            2     2      0
                              = 6 cm               (b)    Area of the tile = 6 175     2     1      0
                                                      2
                  Substitute x = 7 into 2x + 4,       y  + 100y + 2 275 = 6 175              0      1
                                                      2
                  Diameter 3 balls = 2(7) + 4          y  + 100y – 3 900 = 0           534  = 1000010110
                             = 14 + 4                  (y – 30)(y + 130) = 0             10        2
                             = 18 cm                  y = 30, y = –130 (Rejected)   (b)  534  to base eight
                                                                                         10
                  So, diameter 1 ball = 18 ÷ 3        Thus,  y = 30 cm.                8   534  Remainder
                               = 6 cm              (c)  The smallest part of tile represented
                                                      by region DEFI.                  8    66      6
              Section C                               Area of DEFI = 0.3 m × 0.3 m
               17.  (a)  L = (x + 6)(x + 3)                    = 0.09 m  2             8     8      2
                        2
                    L = x  + 6x + 3x + 18             Number of tiles needed           8     1      0
                        2
                    L = x  + 9x + 18                  = 1.08 ÷ 0.09
                  (b)    Area of the cake = 270       = 12 tiles                             0      1
                        x  + 9x + 18 = 270      22.  (a)    Area A – Area B = 12 cm 2  534  = 1026 8
                         2
                                                                                         10
                     2
                    x  + 9x + 18 – 270 = 0              2x(x + 3) – x(x + 5) = 12   (c)  534  to base five
                                                                                         10
                        2
                                                             2
                        x  + 9x – 252 = 0             2x  + 6x – x  – 5x – 12 = 0
                                                       2
                       (x – 12)(x + 21) = 0                  x  + x – 12 = 0           5   534  Remainder
                                                              2
                               x = 12 cm                    (x – 3)(x + 4) = 0         5   106      4
                  (c)  Number of small cakes          x = 3, x = – 4 (Rejected)
                     = 270 cm  ÷ 9 cm   2             Thus,  x = 3 cm.                 5    21      1
                           2
                     = 30 cakes                    (b)  Perimeter of new arrangement   5     4      1
                     Thus,  the  small  cakes  is  enough  to      = 6 + 6 + 6 + 8 + 3 + 8 + 3
                    give to all Safi’s friend.        = 40 cm                                0      4
                                                                                       534  = 4114
               18.  (a)  Area of triangle, L                                             10   5
                      1
                    =  [2(x + 3)](x – 1)       CHAPTER 2                            (d)  534  to base four
                      2                                                                  10
                    = (x + 3)(x – 1)                                                    4  534  Remainder
                    = x  + 2x – 3                          Paper 1
                      2
                  (b)  Area of triangle = 32     1.  A   2.  D   3.  D   4.  A   5.  C  4  133      2
                         2
                        x  + 2x – 3 = 32         6.  C   7.  A   8.  B   9.  B   10.  D  4  33      1
                        2
                       x  + 2x – 35 = 0         11.  C  12.  D  13.  B   14.  D  15.  C
                       (x – 5)(x + 7) = 0       16.  A   17.  C   18.  C   19.  B  20.  A  4  8     1
                              x = 5, x = –7     21.  C  22.  B   23.  B  24.  D  25.  A  4   2      0
                                  (Rejected)    26.  C   27.  D  28.  A  29.  B  30.  D
                    When x = 5,                 31.  C   32.  C   33.  A  34.  B   35.  D    0      2
                     Height of triangle = 5 + 3   36.  D   37.  B  38.  C   39.  D  40.  C  534  = 20112 4
                                                                                         10
                                = 8 cm          41.  B   42.  B
              116
         Answers 1202QB Maths Form 4.indd   116                                                               21/02/2022   6:27 PM
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