Page 30 - Concepts of Reasoning-8
P. 30

CHAPTER

            Worksheet-3.1                                            square numbers                            3





                                                 Properties of Square Numbers

            1.  Classify the following numbers as square numbers and non-square numbers and write them in
                 their respective boxes. Also, write the property that help to decide whether the given number is a
                 square number or not.

                                           45, 322, 36, 828, 121, 729, 443, 24157, 225, 529






                           Square Numbers                                             Non-square Numbers











                 Property  :  ______________________________________________________________________

                 _______________________________________________________________________________

            2.  Match the numbers with the ones digit of their squares :
                 Number                                   a. 12548    b. 24367     c. 25345       d. 9744      e. 54731
                 Ones digit of the square of the number  i.  5        ii.  6       iii.  4        iv.  1      v.  9

            3.  Complete the following. One is done for you :

                   2   576                                                          a.   3   729
                   2   288         576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3                   3               729 =
                   2   144                  = (2 × 2) × (2 × 2) × (2 × 2) × (3 × 3)                               =
                   2    72         576 is a square number.                               3    27         729 is ________ .
                   2    36                                                                     9
                   2    18
                   3     9
                         3


              b.  5   425                        c.  2 2700                         d.   3  525
                  5                425 =                              2700 =                             525 =
                                            =        3    675                    =       5    35                  =
                                   425 is ______ .                  2700 is ______ .                     525 is ______ .


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