The idea of magic rectangles is used to bring pandiagonal magic squares of orders 15, 21, 27 and 33, where 3x3 blocks are with equal sums entries and are semi-magic squares of order 3 (in rows and columns). The magic squares of order 9, 12, 18, 24, 30 and 36 are calculated, with the property that 3x3 blocks are magic squares of order 3 with different magic sums. All the magic squares constructed are pandiagonal except the orders 18 and 30. Exceptionally, the pandiagonal magic square of order 35 is of type 5x7 or 7x5. It is constructed in two different approaches. One with 25 blocks of equal sums magic squares of order 7 and second with 49 blocks of equal sums magic squares of order 5. This work is same as done by author in 2017}