Page 46 - ACE YR IGCSE A TOP APPR' TO MATHS
P. 46

(c)  (1, 2)                                       –7 + y
                          (3.5, –0.5)                       [4]    3      2   = 1
                      (d)  –6 to –7                         [3]          −7 + y = 2
                      (e)   x  – 6x + 7 ≤ 2x                                y = 9                            [2]
                            2
                           x  – 6x + 7
                            2
                                     ≤ 2                                       10 – 0
                              x                                    4   (a)  m =  –7 – 1
                          y ≤ 0                                                10
                          1 ≤ x ≤ 7                         [2]              =   –8
                              2
                      (f)    2x  – 17x + 14   = 0                                5
                                 2                                           = –   4
                             x  –  17 x + 7 = 0                                  5
                              2
                                                                          5All Rights Reserved.
                                  2                                        10 = –   (–7) + c
                          x  – 6x –   5  x + 7 = 0                               4
                           2
                                  2                                        c =   5
                                          5                                   4
                               x  – 6x + 7 =   x
                                2
                                          2                                y = mx + c
                               x  – 6x + 7  5                                   5    5
                                2
                                         =                                 y = –   x +
                                  x       2                                     4    4
                              5                                            4y + 5x = 5                       [3]
                          y =
                              2                                        (b)  m = –1 ÷ –   5
                          x  = 0.9 to 1                                        4    4
                          x = 7.5 to 7.6                    [5]              =   5                           [2]
                  5   (a)  25, 30, 30, 25                   [4]    5   (5, 0)
                      (b)                                              (0, –3)
                           y                                               0 – (–3)  3
                                                                       m =         =
                                                                            5 – 0    5
                         35                                               3
                        Penerbitan Pelangi Sdn Bhd.
                                                                       y =   x – 3                           [3]
                         30
                                                                   6   0 =   3  x – 5
                         25                                                5
                                                                       x = 3
                         20
                                                                       Q(3, 0)
                         15                                            P(–6, 0)
                                                                           5
                         10                                            0 =  ( ) (–6) + c
                                                                           3
                          5                                            c = 10
                          0                                   x        y =   5  x + 10
                               1  2   3   4   5   6   7  8                3
                                                                       3y – 5x = 30
                                                            [5]        a = 3
                      (c)  34 metres                        [1]        b = –5
                      (d)  1 metre                          [1]        c = 30                                [4]
                      (e)  –1 ± 0.05                        [3]             5 – 3    k – 5
                                                                   7   (a)         =
                                                                           4 – (–1)  9 – 4
                     3 3  Coordinate Geometry                                   2   =   k – 5
                                                                                      5
                                                                                5
                                                                                 k =   10   + 5
                       Coordinate geometry                                           5
                                                                                 k = 7                       [3]
                                –7 – (–1)
                  1   Gradient =                                       (b)  m =   2
                                –2 – (–7)                                      5
                                  6
                              = –                           [2]            5 =   2  (4) + c
                                  5                                           5
                  2   Distance between AB = √(0 – 6)  + (1 – 9) 2             17
                                                2
                                        = √36 + 64                         c =   5
                                        = 10 units          [3]               2    17
                                                                           y =   x +                         [3]
                                                                              5     5



                        Cambridge IGCSE
                                         TM
                  166     Ace Your Mathematics






         Answers.indd   166                                                                                      15/03/2022   11:08 AM
   41   42   43   44   45   46   47   48   49   50   51