Page 59 - ACE YR IGCSE A TOP APPR' TO MATHS
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3    3   1                                          2    1   2
                         (b)    ×    =                         [2]        (b)  (i)    ×    =                    [2]
                             6    6   4                                          5    3   15
                                                                                          +
                         (c)  1 + 4, 4 + 1, 2 + 3, 3 + 2                     (ii)  (  3   ×   1 ) (  2   ×   2 )
                             1    1   1   1    2   1   1    2                     5   4     5   3
                                ×    +    ×    +    ×    +    ×                    5
                             6    6   6   6    6   6   6    6                    =  12                          [3]
                             =  1   +   1   +   2   +   2                        12  11   66
                              36   36  36  36                         7   (a)  (i)   26  ×  25  =  325          [2]
                             =  1                              [3]                14  12    12  14
                               6                                             (ii)  (   ×   ) (   ×   )
                                                                                          +
                     3   (a)  0.3 × 0.3 + 0.5 × 0.5 + 0.2 × 0.2                   26  25    26  25
                             = 0.38                            [2]               =  168                         [2]
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                         (b)  1 – 0.38                                             325
                             = 0.62                            [1]        (b)  (i)   ( 14  ×  13  ×  12 ) ( 12  ×  11  ×  10 )
                                                                                              +
                         (c)  0.3 × 0.2 + 0.2 × 0.3                               26  25  24    26  25   24
                             = 0.12                            [2]               =  2184   +   1320
                     4   (a)  0.15 × 0.85 = 0.1275             [2]                15600   15600
                         (b)  0.15 × 0.15 × 0.85 = 0.019       [2]                 73
                                                                                 =                              [3]
                     5   (a)         First ball     Second ball                   12 325 11  14  14  12  11
                                                                                              +
                                                3                            (ii)  ( 26  ×  25  ×  24 ) ( 26  ×  25  ×  24 )  +
                                                9     White                       12  14  11
                                                                                 ( 26  ×  25  ×  24 )

                              4                 6     Black                      =  231                         [4]
                              10     White      9                                  650
                                                                      8   (a)   2   ×   2   ×   2   =   8       [2]
                                                                              15  15  15   3375
                              6                                                  2    2   2   8
                              10     Black      4     White               (b)  (i)   3   ×   3   ×   3   =  27  [2]
                                                9                                 2   1    2       1    1   1
                                                                             (ii)  (  3   ×   5   ×  15 )  × 6 +  (  5   ×   5   ×   5 )
                                                                                   43
                                                5     Black                      =  375                         [3]
                                                9              [3]    9   (a)   2                               [1]
                                (  4  3 ) (  6  5 )                           7
                         (b)  (i)   10  ×   9   +   10  ×   9             (b)  (i)   1                          [1]


                                =  2   +   1                                     6    1
                                                                                 2
                                  15  3                                      (ii)  6   =   3                    [1]
                                =  7                           [2]        (c)
                                  15                                                         1
                            (ii)  1 –   7                                                    6      Daniel stands
                                   15                                                               next to Harry
                                  8
                                =                              [2]                 Harry
                     6.  (a)      15                                               stands at   5    Daniel does not
                                             1                             2       an end    6      stand next to
                                             4     Buy her breakfast       7                        Harry
                                                                                   circle


                          3       Bus        3     Do not buy her          5      Harry
                                                                                  does not
                          5                  4     breakfast               7      stand at   2      Daniel stands
                                                                                  an end     6      next to Harry
                          2                                                       circle
                          5       Walk       2                                               4      Daniel does
                                             3     Buy her breakfast                         6      not stand next
                                                                                                    to Harry
                                             1     Do not buy her                                               [3]
                                             3     breakfast
                                                               [3]


                                                                                                     Answers    179







         Answers.indd   179                                                                                      15/03/2022   11:08 AM
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