Page 22 - PBD Plus Matematik T1 (EG)
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Matematik  Tingkatan 1  Bab 1 Nombor Nisbah
                         (ii)  Ramesh bergerak 8.7 m ke arah timur,            Jawapan / Answer :
                             kemudian 12.9 m ke arah barat.                              Pecahan bahagian Diana
                             Seterusnya, dia bergerak sejauh 5.8 m                        Fraction of Diana’s part
                                                                                                 1
                             ke arah timur. Perihalkan pergerakan                              =  10
                             Ramesh yang seterusnya supaya dia
                             boleh berada di kedudukan asalnya.
                             Ramesh moves 8.7 m to the east, then 12.9 m to     Pecahan bahagian Alyenda  Pecahan bahagian Julia
                             the west. Next, he moves 5.8 m to the east. Describe   Fraction of Alyenda’s part  Fraction of Julia’s part
                                                                                                     5
                                                                                    4
                             Ramesh’s next movement so that he will be at his   =  2 5  = 10        = 10
                             original position.  SP 1.4.4
                                                [3 markah / 3 marks]           5 bahagian / parts   75
                                                                                               
                          Penerbitan Pelangi Sdn. Bhd.
                             Jawapan / Answer :                                1 bahagian / part   75 ÷ 5 = 15
                                                                                              
                             8.7 m – 12.9 m + 5.8 m                            10 bahagian / parts   15 × 10 = 150
                                                                                                
                             = –4.2 m + 5.8 m                                  Julia mempunyai 150 lilin aroma.
                             = 1.6 m  (ke barat dari titik asal)               Julia has 150 scented candles.
                                     (to the west from original position)
                                        Mula                            10.  (a)  Nita mempunyai RM235 di dalam bank dan
                                        Start      8.7 m
                                                                               telah berbelanja RM321, berapakah hutang
                                                 12.9 m
                                   5.8 m                                       yang  perlu dilangsaikan Nita?  SP 1.2.6
                                         1.6 m  Berhenti                       Nita had  RM235 in the bank and spent  RM321, how
                                             Stop                              much is the debt that she has to settle?
                             Ramesh perlu bergerak 1.6 m ke timur                                     [2 markah / 2 marks]
                             untuk kembali ke kedudukan asal.                  Jawapan / Answer :
                             Ramesh needs to move 1.6 m to the east so that he      Hutang Nita / Nita’s debt  = 235 – 321
                             will return to original position.
                                                                                                    = –86
                     (b)  Rajah  di  bawah  menunjukkan  satu  peta            Hutang Nita ialah RM86.
                         buih.                                                 Nita’s debt is RM86.
                         The diagram below shows a bubble map.
                                                                          (b)  Encik Wong menyimpan RM1.3 ribu setiap
                           K + 3                          –4 – L               bulan daripada hasil keuntungan syarikatnya
                                                                               selama  lima  tahun.  Dalam  tempoh  itu,  dia
                                           –20                                 telah membuat pengeluaran berjumlah
                                                                                  4
                          –60 ÷ N                        M × (–2)              RM  ribu  sebanyak 7 kali. Hitung purata
                                                                                  5
                                                                               simpanan  Encik Wong dalam tempoh lima

                         Hitung nilai bagi K, L, M dan N.  SP 1.2.1   SP 1.2.2  tahun.  SP 1.5.3
                                                                               Mr. Wong saved  RM1.3 thousand each month from
                         State the values of K, L, M and N.                    his company profits for five years. Within that time, he
                                                [2 markah / 2 marks]           withdrew  RM   thousand for 7 times. Calculate Mr.
                                                                                         4
                         Jawapan / Answer :                                              5
                            K + 3 = –20          –4 – L = –20                  Wong's average savings in five years.
                               K = –20 – 3           L = –4 + 20                                      [3 markah / 3 marks]
                                 = –23                 = 16                    Jawapan / Answer :
                                                                               Purata simpanan / Average savings
                          –60 ÷ N = –20       M × (–2) = –20                                  4
                                                                                
                                                                                                   2
                               N = –60 ÷ (–20)      M = –20 ÷ (–2)             =  1.3 × 12 × 5 –   × 7  ÷ 5
                                                                                              5
                                 = 3                   = 10                    = (78 – 5.6) ÷ 5
                                                                               = 72.4 ÷ 5
                                          2
                     (c)  Julia memberikan   daripada lilin aromanya           = RM14.48 ribu / thousand
                                          5
                         kepada Alyenda dan   1   daripadanya kepada
                                            10                            (c)  (i)  Rajah di bawah menunjukkan satu garis
                         Diana. Bilangan lilin aroma yang dimiliki oleh            nombor.
                         Julia sekarang ialah 75 unit. Cari bilangan asal          The diagram below shows a number line.
                         lilin aroma yang dimiliki oleh Julia.   SP 1.3.4
                                                                1
                                 2
                         Julia gives   of his scented candles to Alyenda and        X       –16  Y   –8       Z
                                 5                             10
                         to Diana. The number of scented candles Julia has now      Cari nilai X, Y dan Z.  SP 1.1.3   SP 1.2.3
                         is 75 units. Find the number of scented candles Julia has   Find the values of X, Y and Z.
                         initially.                                                                   [3 markah / 3 marks]
                                                [4 markah / 4 marks]

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