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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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