Page 47 - Spotlight A+ SPM Additional Mathematics Form 4 & 5
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SPM Model Paper   Additional Mathematics
                      (b)  On the answer space below, sketch the graph   (b)  The height,  h  m, of a hit golf ball from a
                          of y = |2x – 5| for 0 < x < 6. Hence, find the   surface of field after t seconds is given by the
                          range of value x such as y < 3.   [3 marks]    function h(t) = 20t – 5t . Find
                                                                                           2
                                                                         (i)  the time taken,  t when the golf ball
                             y                                              touches the surface of the field again.
                                                                         (ii)  the maximum height, h reached by the
                                                                            golf ball.
                                                                            Hence, in the answer space below,
                                                                            sketch the graph of h against t for the
                                                                            movement of the golf ball.   [3 marks]
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                                                                     Answer:
                                                                     (b)  (i)


                                                       x
                            0












                    3.  (a)  If  a and  b are the roots for quadratic    (ii)
                          equations x  + px + q = 0, such as p and q
                                    2
                          are constant, express a  b + b  a in terms of                                       SPM MODEL PAPER
                                            2
                                                  2
                          p and q.                   [2 marks]
                      Answer:
                      (a)









                                                                         h (meter)



















                                                                                                  t (seconds)
                                                                           0



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         Model Paper Spotlight Add Math F5.indd   419                                                 20/04/2021   10:37 AM
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