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                 \ 12-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________





                HOTS                                                     c.  Factors of 10 = 1, 2, 5, 10  Common Factors
                  1.  3     2.  4     3.  4    4.  4                         Factors of 20 = 1, 2, 4, 5, 10, 20  1 2
                                                                                                              4
                                                                                                           5
                Puzzle                                                       Common factors = 1, 2, 5, 10  10  20
                     70 students                                                                    Factors   Factors
                          Chapter 5: Multiples and Factors                                           of 10     of 20
                Warm Up                                                 d.  Factors of 18 = 1, 2, 3, 6, 9, 18  Common Factors
                  1.  Number of rows  1  2  3  4  5  6  7  8  9  10          Factors of 32 = 1, 2, 4, 8, 16, 32
                   Number of camels 3  6  9  12  15  18  21  24  27  30          Common factors = 1, 2  3  6 1  4, 8
                  2. b.  There are 2 groups of 6 dancers each. So, 2 × 6 = 12                           9  18 2  16 32
                   c.  There are 3 groups of 4 dancers each. So, 3 × 4 = 12                         Factors    Factors
                Exercise 5A                                                                          of 18      of 32
                  1.   3, 6, 9, 12                                     2. a.  1, 3      b.  1, 2, 3, 6, 9, 18  c.  1   d.  1, 5
                  2. a.  7, 14, 21, 28, 35, 42   b.  9, 18, 27, 36, 45, 54        e.  1, 7      f.  1, 2, 4, 8   g.  1, 2, 4   h.  1, 2
                   c.  11, 22, 33, 44, 55, 66   d.  15, 30, 45, 60, 75, 90  Learning Logs
                   e.  18, 36, 54, 72, 90, 108   f.  25, 50, 75, 100, 125, 150
                  3. a.  10, 20, 30, 40, 50   b.  14, 28, 42, 56, 70    1. a.  3, 11    b.  6   c.  factors   d.  30
                   c.  22, 44, 66, 88, 110   d.  26, 52, 78, 104, 130    2.   24, 48, 72
                   e.  30, 60, 90, 120, 150   f.  50, 100, 150, 200, 250    3. a.  1, 3, 5, 15   b.  1, 3, 7, 21   c.  1, 2, 3, 4, 6, 8, 12, 16, 24, 48
                  4. a.  3, 9, 15, 21, 27       b.  17, 51, 85, 119, 153  d.  1, 2, 4, 7, 8, 14, 28, 56
                   c.  19, 57, 95, 133, 171   d.  21, 63, 105, 147, 189    4. a.  26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62,
                   e.  27, 81, 135, 189, 243   f.  35, 105, 175, 245, 315  64
                  5.  72, 96, 120, 144, 280                             b.  30, 35, 40, 45, 50, 55, 60   c.  30, 40, 50, 60
                  6. a.  40   b. 72   c.  12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132  d.  30, 40, 50, 60       e.  30, 40, 50, 60
                   d.  21, 24, 27, 30, 33, 36, 39, 42, 45, 48
                   e.  54, 63, 72, 81, 90, 99      f.  72                f.  30, 36, 42, 48, 54, 60
                  7. a.  F   b. T   c.  T   d.  F   e.  T   f.  F      5. a.  Yes    b.  Yes
                  8. a.  8; 48, 56, 64   b.  9; 72, 81, 90    c.  14; 112, 126, 140    6.   2905  330            3240
                   d.  15; 75, 90, 105                                        405            3438            1738
                Exercise 5B                                                       635            1308            1965
                  1. a.  6, 12, 18   b.  10, 20    c.  6, 12, 18          1430            3225           882
                  2. a.  20, 40, 60, 80   b.  10, 20, 30, 40   c.  14, 28, 42, 56  1116  565  1914  480      3894  3080
                   d.  20, 40, 60, 80   e.  24, 48, 72, 96                2270           1940            295
                  3. a.  18 , 36, 54, 72, ...   b.  30 , 60, 90, 120, ... c.  24 , 48, 72, 96, ...
                   d.  30 , 60, 90, 120, ...  e.  60 , 120, 180, ...
                                                                                    a.             b.              c.
                Exercise 5C                                          Mental Maths
                  1. a.  1, 2, 3, 5, 6, 10, 15   b.  1, 2, 4, 5, 10   c.  1, 2, 4, 8, 16
                                                                       1.  c      2.  a    3.  b    4.  c     5.  a
                  2.  1 × 24, 2 × 12, 4 × 6, 3 × 8                     6.  c
                     Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24        HOTS
                  3. a.  1, 3, 5, 9, 15, 45    b.  1, 2, 4, 7, 8, 14, 28, 56
                                                                       1.  a. 12, 16, 20, 24, 28    b.  12, 24   c.  12
                   c.  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72       Puzzle
                   d.  1, 3, 13, 39   e.  1, 13
                  4. a.  Yes   b. No   c.  Yes   d.  No
                  5. a.  2, 3, 5, 7, 11, 13, 17, 19, 23, 29   b.  6, 8, 10, 14, 15, 21, 22, 26, 27
                   c.  4, 9, 25
                  6. a.  True   b. False   c.  True   d.  False   e.  False  f.  True
                Exercise 5D
                  1. a.  Factors of 6 = 1, 2, 3, 6  Common Factors
                        Factors of 10 = 1, 2, 5, 10
                        Common factors = 1, 2      3  1  5
                                                   6 2  10
                                              Factors   Factors
                                               of 6     of 10                        Chapter 6: Fractions
                    b.  Factors of 18 = 1, 2, 3, 6, 9, 18  Common Factors
                        Factors of 21 = 1, 3, 7, 21                  Warm Up
                        Common factors = 1, 3     2  6 1  7            2. a.   1     b.   2     c.   2     d.   1     e.   2     f.   3
                                                 9  18 3  21               3       4      4        2        4      5
                                              Factors   Factors         g.   2    h.   1     i.   1     j.   2     k.   2     l.   2
                                               of 18     of 21             4      4       2        4        3      4


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