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4.  (a)  False                      39, 41, 42, 43, 45, 47, 48,   Self Practice  13.2b
                  (b)  True                        52, 56                  1.  1.5  + 2.0  = 2.5
                                                                                          2
                                                                                2
                                                                                     2
                  (c)  True                     (b)  12 minutes               Thus, the wall is vertical.
               5.  (a)       Number of          (c)  Much of the time taken to   2.  160°
                             Laptops Sold          fix the leaking pipes ranges
                                                   from 30 minutes to 39      Mastery    13.2
                       6 5                         minutes.                           2   2    2
                    Number of  laptops  4 3 2  8.  (a)  Diagram (a)        1.  (a)  Yes;  9  + 40  = 41   2
                                                                                      2

                                                                                           2
                                                                              (b)  No;  27  + 35  ≠ 45
                                                                                           2
                                                                                       2
                                                                                               2
                                                   The scale used on the
                       0 1                      (b)  Diagram (b). Not ethical.        (c)  Yes;  2.5  + 6  = 6.5
                                                                                           2
                                                                                       2
                                                                              (d)  Yes;  13  + 84  = 85
                                                                                               2
                          January  February  March  April  May  June  vertical axis of this line   2.  12  + 16  = 20
                                                   graph is larger.
                                                                                    2
                                                                                2
                                                                                        2
                               Month                                          \ The triangle is a right-angled
                                              Chapter 13 The Pythagoras’      triangle. Therefore, the triangular
                  (b)                                  Theorem                piece of wood can be fixed
                             Number of
                            Laptops Sold                                      perfectly onto the L-shaped
                                              Self Practice  13.1a            structure.
                      6 5                    1.  (a)  AC                   3.  15  + 20  = 25
                  Number of  laptops  4 3 2     (b)  b                        All angles at the vertices of the
                                                                                    2
                                                                                2
                                                                                        2
                                                   PR is the hypotenuse of
                                                (c)
                                                                              quadrilateral are right angles,
                      0 1                          ∆PQR.                      thus the quadrilateral is a
                                                   ST is the hypotenuse of
                         January  February  March  April  May  June  ∆SPT.    rectangle.
                              Month           Self Practice  13.1b           Let’s Practise
                                                          2
                                                               2
                                             1.  (a)  AC  = AB  + BC       1.  (a)  10 cm
                                                     2
                     The bar chart is more           2    2     2             (b)  24 cm
                     suitable in representing this   (b)  LN  = LM  + MN       2
                                                       2
                                                    2
                                                           2
                                                                                2
                     data because the number    (c)  r  = p  + q           2.   2  + 150  = 150.01 m
                                                       2
                                                           2
                                                    2
                     of laptops sold can be read   (d)  z  = x  + y        3.  (a)  15 cm
                     from the height of the bars.  Self Practice  13.1c       (b)  Right-angled triangle;
                                                                                      2
                                                                                  2
               6.  (a)  Year 2010, RM13 million  1.  (a)  10                     8  + 15  = 17   2
                                                                                   2
                  (b)  Year 2012, RM2 million     (b)  24                  4.  104 cm
                                                                               18  + 6  = 18.97 m
                                                                                2
                  (c)  Loss of RM8 million      (c)  16.64                 5.    2
                  (d)  (i)                      (d)  0.66                  6.  8  + 15  = 17
                                                                               2
                                                                                        2
                                                                                   2
                      Prof its of Cekap Company  2.  (a)  14 cm               SR = 17 cm
                                                (b)  8 cm                         2
                  14                            (c)  25.63 cm              7.  36 cm
                  12 8                        Self Practice  13.1d         8.  0.4   2
                  10
                 Prof  it (million RM)  –2 6 4 2 0  1.  54 cm  13.1        10.  Using the concept of
                                                                                    2
                                                                           9.  20 –  15  – 12  = 11 m
                                                                              Pythagorean triples, (3, 4, 5)
                                             2.  35.44 km
                                                                              7 × 5 = 35 cm
                                                Mastery
                  –4
                  –6
                                                                              7 × 4 = 28 cm
                  –8                         1.  12 cm                        7 × 3 = 21 cm
                 –10                         2.  28 cm                     11.  Using the concept of
                       2010  2011  2012  2013  2014  2015  3.  5.62 m         Pythagorean triples,
                             Year            4.  540.83 km                    3 + 4 + 5 = 12
                  (ii)  Profit of RM11 million  Self Practice  13.2a
               7.  (a)  12, 15, 15, 16, 17, 18, 21,   1.  (a)  Yes
                     24, 25, 27, 28, 30, 30, 31,      (b)  No
                     33, 34, 35, 36, 37, 37, 38,      (c)  Yes
             324
            Answers
       14 Ans Math F1.indd   324                                                                      11/10/16   12:23 PM
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