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                2.  Observe the patterns and write the next two steps.

                    (a)      0 ×     9 + 1 = 1                       (b)     0 × 9 + 8 = 8

                             1 ×     9 + 2 = 11                              9 × 9 + 7 = 88
                           12 ×      9 + 3 = 111                            98 × 9 + 6 = 888

                          123 ×      9 + 4 = 1111                         987 × 9 + 5 = 8888
                         ..............................................   .............................................
                         ..............................................   .............................................

                    (c)       1 × 8 + 1 = 9                          (d)   20000      ÷      2     = 10000

                            12 × 8 + 2 = 98                                20000      ÷     20     = 1000
                           123 × 8 + 3 = 987                               20000      ÷    200     = 100

                         1234 × 8 + 4 = 9876                              ...................................................
                         ...............................................  ...................................................
                         ...............................................


                3.  Fill in the blanks by observing the patterns:

                    (a)  5            ×      5      = 25               (b)  37   ×    3 ×      1    = 111

                         55           ×      5      = 275                  37    ×    3 ×      2    = 222
                         _______ ×           5      = 2775                 37    ×    3 ×      3    = ____

                         5555         × _____ = 27775                      37    ×    3 ×      4    = 444
                         55555        ×      5      = _______              37    ×    3 × ___ = 555


                4.  Study the pattern and fill in the missing numbers:

                    (a)                             (b)                               (c)
                               21    15                           ?      36
                                                           32                  48
                            ?            9
                                                           12                  8
                            3            8
                                                                  9       5
                                5    7


              tessellations


              We often see designs made from tiles on the walls or floors. In such designs, tiles fit
              into each other without leaving any gaps or without overlapping. Such tiling patterns

              are called tessellations.

              Thus a tessellation is a pattern of geometric shapes that fit together perfectly, or fill

              a 2D space without any gaps or overlaps.


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