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 Mathematics  Form 3  Chapter 9 Straight Lines

 HOTS Challenge          PT3              Model Paper



    Types  A  B
 Packaging
     Section A                                           5.  4.3 × 10  + 0.00174
                                                                   –5
 Packet (x)    10       15                                  = 4.3 × 10  + 1.74 × 10 –3
                                                                     –5
 Boxes (y)     8       20    1.                             = (0.043 + 1.74) × 10 –3
                                                                       –3
 740  1 350                                                 = 1.783 × 10
                                                            Answer: C
      10x + 8y = 740 ....................(1)
      15x + 20y =1 350 ................(2)
          1     + 2  2      + 2                                   –3         3
                                                                        
                                                                         17
                                                              10
                                                             
      From (1)                                           6.       =   
      10x + 8y = 740                                          17         10
        x = (740 – 8y) ÷ 10                                                3  1
                                                                        17
        x = 74 – 0.8y                                               =     2
                                                                        10
 Substitute (3) into (2)                                                   3
                                                                       17
      15(74 – 0.8y) + 20y = 1 350                      	 		         =    2
       1 110 – 12y + 20y = 1 350                                       10
        8y = 240                                            Answer: C
        y = 30        3   + 2  4   + 2
 x = 74 – 0.8 × 30                                       7.   x + 90° + 0.5x + 69° + 2x + 68° = 360°
 x = 50         = 5                                                           3.5x + 227° = 360°
          ∴ 5n + 2, n = 1, 2, 3, 4, …                                                3.5x = 133°
                                                                                        x = 38°
          Answer: A
                                                            Answer: A
       2.
          8   8, 16, 64                                  8.  Answer: B
              1,  2,  8
          Answer: B                                                     x  + x  y  + y
                                                         9.   Midpoint =    1  2  2  ,   1  2  2 

       3.  Scale                                                   S =    –6 + (–2)  ,   –9 + 3 
          = length of drawing : length of object                           2         2
          = 0.16 cm : 5 m                                            = (–4, –3)
          = 0.16 : 500                                      Answer: A
          = 1 : 3 125

          Answer: C                                     10.  Coordinates of image
                                                            = (–1 + 7, –5 + –5)
                                                            = (6, –10)
       4.  Answer: D
                                                            Answer: C









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 BOOKLET ANS MATH F3.indd   29                                                            03/01/2020   10:21 AM
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