Page 24 - TOP ONE MATHS F3
P. 24

Top One (MATHS F3) Penerbitan Pelangi Sdn Bhd




                      CHAPTER          Scale Drawings                                                                         6.  (a)   length of drawing   =   200 000         8.  (a)   length of drawing  1  1
                                                                                                                                 Mathematics  Form 3  Chapter 4 Scale Drawings
                                                                                                                                                             1
                         4
                                                                                                                                                                                                    Scale = 1 :
                                                                                                                                        actual length
                                                                                                                                                                                                               2
                                                                                                                                                             1
                                                                                                                                     length of drawing
                                       Lukisan Berskala
                                                                                                                                                        =
                                                                                                                                                          200 000
                                                                                                                                                                                                            2
                                                                                                                                          12 000 000    = 60 cm                         length of object   =   1
                                                                                                                                                                                                8         =   1
                                                                                                                                                                                          length of object  1
                                                                                                                                 (b)  Length of square field = 900                                        2
                      1.  (i)  1                                          (b)  Scale =   length of drawing                                                = 30 m
                         (ii)  drawing / lukisan                                         actual length                                                                                    Length of object = 8 ×   1
                         (iii)  10                                                  =   40                                           length of drawing   =   1                                            = 4 cm 2
                         (iv)  actual object / objek sebenar                           4                                                actual length    300
                         (v)  cm                                                       10                                            length of drawing     1
                                                                                    =                                                                   =
                                                                                       1                                                   3 000         300                                                         1.5 cm
                                                                                       1                                                                  3 000
                                                                                    =                                                Length of drawing =
                      2.   Diagrams  Scale drawings       Scale                        1                                                                   300                          1.0 cm   1.0 cm
                             Rajah     Lukisan berskala   Skala                        10                                                               = 10 cm                                     0.5 cm
                                                                                          1                                                                                                         1.0 cm
                               I             Yes           1 : 2                    = 1 :   10                                                                                                                   3 cm
                                                                                                                                 (c)   Diameter of coin = 5 cm                                 1.5 cm
                               II            No             –
                                                                                       height of drawing                             length of drawing    1
                                                                          (c)  Scale =                                                                  =
                              III            No             –                            actual height                                  actual length     1                                         4 cm
                                                                                          4                                                               2
                              IV             No             –                       =  1.4 × 100                                     length of drawing    1
                                                                                       1                                                     5          =   1                   9.  (a)  Length of square A = 49
                                                              1                     =
                               V             Yes          1 :                         35                                                                  2                                              = 7 cm
                                                              2
                                                                                    = 1 : 35                                         Diameter on the drawing  = 5 × 2                  Length of square B = 196
                                                                                                                                                              = 10 cm                                    = 14 cm
                      3.  (a)  10 cm : 1 km                                          3           1                                                                                     length of drawing   14
                             = 10 cm : 1 × 100 000 cm                   5.  (a)   actual length  =   10 000                          length of drawing     1                             actual length    =   7
                             = 1: 10 000                                                                                      7.  (a)                   =                                                   1
                                                                                actual length = 3 × 10 000                              actual length     100                                             =
                                                                                            = 30 000 cm                                 base of drawing = 12 × 100 ×   1                                    7
                         (b)  2 cm : 1m                                                     = 0.3 km                                                                100                                     14
                             = 2 cm : 1 × 100 cm                                                                                                        = 12 cm                                             1
                             = 1: 50                                                 5           1                                   height of drawing = 6 × 100 ×   1                                    =   1
                                                                          (b)               =                                                                     100                                       2
                                                                               actual length   2 000                                                  = 6 cm
                         (c)  5 cm : 2 km                                      actual length = 5 × 2 000                                                                                                            1
                             = 5 cm : 2 × 100 000                                           = 10 000 cm                                                                                Therefore, the scale used is 1 :   2
                             = 1 : 40 000
                                                                                            = 100 m

                                     height of drawing                              9          1                                                                                  (b)
                      4.  (a)  Scale =                                    (c)               =                                                                                            4              1
                                        actual height                          actual length   1                                                                                                  =
                                      2                                                                                                                                            actual distance  3 000 000
                                   =                                                           2                                                                                    actual distance = 4 × 3 000 000 cm
                                     600                                                          1
                                      1                                        actual length = 9 ×   2                                                                                            = 12 000 000 ÷ 100 000 km
                                   =                                                                                                                                                              = 120 km
                                     300                                                    = 4.5 cm
                                   = 1 : 300







                                                                   15                          © Penerbitan Pelangi Sdn. Bhd.  © Penerbitan Pelangi Sdn. Bhd.             16

                                                                                                                      A9



                BOOKLET ANS MATH F3.indd   9                                                                                                                                                                     03/01/2020   10:20 AM
   19   20   21   22   23   24   25   26   27   28   29