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             \ 06-Jan-2025  Bharat Arora   Proof-3                                        Reader’s Sign _______________________ Date __________





               6.  (a)  A = 4, B = 7   (b)  A = 8, B = 1   (c)  A = 7, B = 4  CHAPTER ASSESSMENT
                 (d)  A = 9, B = 0, C = 3 or A = 3, B = 0, C = 9 or A = 4, B = 5, C = 6  A.  1.  (d)    2.  (a)    3.  (c)   4.  (d)   5.  (a)
            Quick Check                                           B.  1.  (a)     2.  (a)    3.  (a)    4.  (a)
                 BE HAPPY                                         C.  1.  100a + 10b + c    2.  9   3.  24   4.  13   5.  8
                                                                  D.  1.  False   2.  False   3.  False   4.  True   5.  False
            Quick Check
                                                                  E.  1.  (b)    2.  (d)   3.  (c)   4.  (a)
               1.  1         2.  52      3.  33; 55
                                                                  F.  2.  (a)  A = 3, B = 9     (b)  A = 5, B = 4, C = 1
            Think and Answer                                           (c)  A = 8         (d)  A = 7, B = 2
                                        1                              (e)  P = 1, Q = 3, R = 2   (f)  A = 4, B = 7
                                       1 1                             (g)  A = 6, B = 5, C = 4
                                      1 2 1                         3.  A = 6, B = 3, C = 3
                                    1 3 3 1                          4.  x = 65 and y = 45
                                   1 4 6 4 1                        5.  A = 1, B = 7, C = 4, D = 6, E = 8, F = 2, G = 5, H = 9, I = 3 (Answer may vary)
                                  1 5 10 10 5 1                     6.
                                 1 6 15 20 15 6 1                      60, 120, 180, 240, 300 (Answer may vary)
                                                                        7   2   9
            Practice Time 15B
               1.  1923552016152012015   2.  21668   3.  54         8.  8   6   4
               4.  (a)  14, 12, 17         (b)  4, 16, 5
               5.  (a)  24, 32, 36         (b) 18, 486, 1458            3  10   5
                                                                    10.  (a)  A = 3, B = 0, C = 1         (b) A = 4, B = 1
                    9 2 7                   3 10 5
               6.  (a)  4 6 8            (b)  8 6 4                    (c)  125 or 250           (d)  A = 6
                    5 10 3                  7 2 9                                   Model Test Paper – 2
            Quick Check                                           A.  1.  (c)    2.  (a)   3.  (b)   4.  (c)   5.  (a)
               1.  Divisible   2.  Divisible   3.  Not divisible  4.  Divisible  6.  (b)    7.  (d)   8.  (c)   9.  (c)   10. (d)
            Think and Answer                                        11.  (d)    12. (c)
                                                                  B.  1.  (0, 0)   2.  x-axis   3.  13   4.  2   5.  regular
                 1 or 6
                                                                  C.  1.  False   2.  True   3.  False   4.  False   5.  True
            Quick Check                                           D.  1.  249975
               1.  (b) and (d)   2.  (a) and (d)                    2.    Polyhedrons       Faces    Edges   Vertices
            Practice Time 15C                                          (a) Hexagonal Prism   8        18       12
               1.  Divisible by 3, but not by 9.   2.  a = 1   3.  a = 1, b = 2  (b) Triangular pyramid  4  6   4
               4.  x = 5, y = 8   5.  360   6.  Yes   7.  5            (c) Square pyramid    5         8        5
               8.  124 (Answer may vary)   9.  2, 5 and 8
              10.  3 or 7                                           3.  0.2 m
                                                                             –4
            Mental Maths                                            4.  1.88 × 10
                                                                            2
               1.  2         2.  0       3.  6       4.  2           5.  127 cm
                                            6 –1 4                  6.  `1,98,000
               5.  19 3 9 5 14 3 5   6.  8   7.   1 3 5                 4  8
                                                                        − 
            Brain Sizzlers                  2 7 0                   7.   5          8.  (a) Yes  (b)  Yes   9.  26
                      8                                             10.  (a)  30 thousands
                                                                       (b)  July
               1.   4   7                2.  5                         (c)  March
                  6   9   3                                            (d)  65 thousands




















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