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                                                       7  − 5   5
              5.  Simplify the following expression:   15  ×  21   ÷ 2 6
                                                     
                                             2
              6.  What should be divided by     to obtain the greatest negative integer?
                                             3

              7.  The table given below shows the change of water level of a lake near below the waterfall over 4
                 weeks. Arrange the change in water level of the lake in ascending order.


                               Week                     1            2            3             4            5
                  Change in water level (in cm)         7           −  2          3 2        14  51        − 12
                                                        3             5            3            500          15

                                                                       2   2  5
              8.  Roma simplified a rational number in this manner      − 3   ÷  5  =  3  . What error did she make? Rectify
                 the error and give the correct answer.

              9.   At the annual school fair, different stalls were set up by students. Ravi and Priya set up a food

                 stall. At the end of the fair, they had left some food items and shared them to each other. Ravi

                     3                      3                 5                             2                       CASE STUDY
                 got    of a chocolate bar,    of a cake, and    of a pizza. While Priya got    of the chocolate
                     4                      4                 6                             3
                          1
                 bar and     of the cake. Based on the above information answer the following questions.
                          4
                 (a)  How much chocolate did Ravi and Priya have in total?

                 (b)  If Ravi gave   1   of his pizza to Priya. How much pizza did Ravi have left?
                                  4
                 (c)   If Ravi and Priya want to divide the cake equally between them.

                         How much cake does each one get?







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               When an object is immersed or partially immersed in a fluid, it displaces fluids, and the volume
               of displaced fluids is equal to the volume of the part of the object that is immersed in the fluid.
               Rohan’s younger brother is playing with a steamer boat toy made of wood. He submerged the steamer boat
                                                                       5
               into the bucket with full of water. The steamer boat floats    of its volume above the surface. What is the
                                                                       7
               part of the volume of the steamer boats submerged.

                                                                           COMPETENCY BASED QUESTION












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