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               \ 08-Oct-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________





                2.  Subtract the following.
                        17      2                17     25               3     5                     7       3
                    (  a)    –              (  b)     –              (  c)   –                (  d)  3   –  2
                        44     11                32     48               4    12                    22      11
                            4      9              3      1                  8     21                  11        3
                    (  e)  18  –  7          (  f)  8  –  3          (  g)  8   –             (  h)  19   –  17
                            5      10             8      5                 17     51                  18        4
                3.  Simplify the following.
                          3    2     3                     3    3     5                    7      2    11
                    (  a)  4  –   +                  (  b)  6  +   –  1              (  c)  5  +  2  –
                          5    3    10                     4    5     6                    8      3    12
                           7      5    3                   5     3      1                  1      3      1    1
                    (  d)  4   –  1  –               (  e)  7  –  1  –  1             (  f)  8  –  2   +  2  –
                          21      6    4                   6     4      2                  3      5      2    2

                4.  An empty basket weighs       1 4  kg. Ravi puts  2 1  kg of apples in the basket. Find the total
                                                  5                   3
                    weight of the basket with the apples.

                5.   Rohan's father purchased     1 1  metres of cloth for Rohan and     1 2  metres for his younger
                                                   2                                      3
                    brother. How many metres of cloth did Rohan's father purchase?
                         5                                                                            3
                6.   A  3   cm thick board is glued to another board whose thickness is             4    cm. What is
                        16                                                                            8
                    the combined thickness of the board?
                                   4
                7.   A vessel had   litre of milk. In the night Viban drank        1   litre of milk from the vessel.
                                   8                                              12
                    How much milk was left in the vessel?

                8.   On Sports Day, Arun jumped      2 7  metres in a long jump competition and his classmate
                                                       8
                                      2
                    Varun  jumped    metres  less  than  Arun.  How
                                      3                                              Think Tank                Critical Thinking
                    long was Varun’s jump?                                                    1

                                                                     3
                9.  Riya  used   1 1   kg  of  sugar  for  pudding,    kg          Riya spent   of her pocket
                                                                                              2
                                   2                                 4             money on a book and      1   of the
                                                      1
                    of  sugar  for  ice-cream  and   kg  of  sugar  for                                     3
                                                      8                            remaining amount on a  pen.  If she
                    cupcakes. How much sugar did she use in total?                 now has `80 left, how much pocket
                                                                                   money did she have in the beginning?
              Multiplication oF Fractions

              Multiplication of a Fraction by a whole number

              To  multiply  a  fraction  by  a  whole  number  or  a  whole  number  by  a  fraction,  multiply  the
              numerator of the fraction by the whole number and keep the denominator the same.

              Example 1: Multiply the following:
                                                                           4
                        1
                                                 3
                    (  a)   × 3             (b)   × 7                (c)  2  × 14
                        4                        5                         7
                                                                                                      1
              Solution:     (  a)   1  × 3 =  1 × 3  =     3         (  b)   3  × 7 =  3 × 7  =   21  =  4
                                  4           4      4                    5           5        5      5
                                   4
                            (  c)  2  × 14 =   18  × 14 =  18 × 14   = 18 × 2 = 36
                                   7           7               7

              Mathematics-5                                                                                          91
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