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Chapter 4 Ratios, Rates and      (b)  Rate =   20 litres   ;     Mastery    4.3
                          Proportions                      1 time
                                                    volume (litre) and number of   1.  (a)   175 ml olive oil
                  Self Practice  4.1a               times the water is pumped.      50 ml vinegar
                                                                                  =  300 ml olive oil
                 1.  (a)  14 : 16 : 7                      RM240                      x ml vinegar
                    (b)  2 : 1 : 5               (c)  Rate =   4 subjects   ;
                    (c)  2 : 1 : 48                 amount of money (RM) and   (b)  7.8 mm   =   11.7 mm
                                                                                   3 hours
                                                                                            t hours
                    (d)  2 : 3 : 4                  number of subjects.
                                                                            2.  12 times
                 2.  56 : 12 : 3                            RM500
                                                 (d)  Rate =        ;       3.  RM60
                  Self Practice  4.1b                     10 hectares
                                                    amount of money (RM) and   Self Practice
                 1.  36 : 48 : 90,                                                        4.4a
                    0.6 : 0.8 : 1.5,                area (hectare).         1.  2 : 9 : 7
                    2  8
                      :    : 1                   (e)  Rate =   600 revolutions  ;   2.  8 : 12 : 3
                    5  15                                   3 seconds
                 2.  (a)  1 : 3 and 2 : 6           number of revolutions and   Self Practice  4.4b
                    (b)  3 : 8, 6 : 16 and 9 : 24   time (second).          1.  RM48
                 3.  2 : 4 : 6, 1 : 2 : 3     2.  Object A                  2.  63 kg
                    or other valid answers.   3.  30 g per 100 cm   2       3.  RM200
                                                         2
                  Self Practice  4.1c         4.  35 g per m                4.  35 questions
                                                                            5.  3 : 1 : 2
                 1.  (a)  3 : 20   (b)  5 : 7 : 8
                    (c)  9 : 20   (d)  3 : 4 : 8    Mastery    4.2            Self Practice  4.4c
                                              1.  2.7 g per cm 3            1.  58 calories
                    Mastery    4.1
                                              2.  (a)  (i)  1 : 21; 1 : 11  2.  RM49.00
                 1.  (a)  (i)  2 : 3 : 4                 6 kg   7 kg
                       (ii)  8 : 12 : 16            (ii)  60 days  ;   60 days  3.  2 cups
                       (iii)  4 : 9 : 16         (b)  mass and time         4.  USD50
                    (b)  2 : 3 : 4 is equivalent to                           Self Practice  4.4d
                       8 : 12 : 16.           3.  (a)   RM2.25  ,   RM4.00 ,
                    (c)  The  numbers  in  the  ratio   250 ml  500 ml      1.  300 fish
                       of areas are the squares of   RM7.50                 2.  (a)  12 times
                       the numbers in the ratio of   1000 ml                   (b)  4 : 3
                                                 (b)  RM8.00                   (c)  15 times
                       lengths.
                 2.  25 : 1                      (c)  1 l carton of milk. It has
                                                    the lowest price compared     Mastery    4.4
                 3.  (a)  1 Amanah and 1 Cekap      to 250 ml carton of milk
                    (b)  16 : 20 : 12               and 500 ml carton of milk   1.  8 teachers
                    (c)  12 : 7                                             2.  3 : 4 : 7
                                                    priced at RM9 per litre and
                 4.                                                         3.  Hardtail scad and one finlet
                       as   as    as   as           RM8 per litre respectively.  scad or hardtail scad and Indian
                    2:10  12:27:6  1:2  12:2  3:12:5                           mackerel
                    or other valid answers.     Self Practice  4.3a
                                                                               Pomfret: RM15/kg
                 5.  (a)  5 : 9 is equivalent to 15 : 27  RM5  RM20
                                              1.  (a)     =                    Hardtail scad: RM6.40/kg
                    (b)  5 : 12 is equivalent to 10 : 24    3  12              One finlet scad: RM9.00/kg
                       and 15 : 36               (b)  24 cm   =   78 cm        Indian mackerel: RM13.50/kg
                 6.  6 : 4 : 2,  18 : 12 : 6           4      13            4.  (a)  Bacteria A, 40 million per
                    or other valid answers.      (c)  13 boys   =   65 boys       minute
                                                     15 girls  75 girls
                  Self Practice  4.2a                                            (b)  20 million
                                                                               (c)  3.3 minutes
                              RM154             Self Practice  4.3b
                 1.  (a)  Rate =       ;                                    5.  (a)  3 : 4 : 2
                            2 passengers      1.  50 players
                       amount of money (RM)   2.  100 times                      (b)  Nitrogen: 4.5 kg
                                                                                  Phosphorus: 6 kg

                       and number of passengers   3.  510 chilli plants           Potassium: 3 kg
                       (person).

                                                                                                       311
                                                                                                 Answers



       14 Ans Math F1.indd   311                                                                      11/10/16   12:23 PM
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