During past years author worked with block-wise, bordered and block-bordered magic squares. This work make connection between block-wise and bordered magic squares. We started with block-wise bordered magic squares of orders 120 and 112. Based on these two big magic inner order magic squares multiples of 8 are studied. By inner orders we understand that magic squares of orders 96, 88, 80, etc. The construction of the bordered magic squares multiples of 8 is based on equal sum blocks of bordered magic squares of order 8. The advantage in studying block-wise bordered magic squares is that when we remove external border, still we left with magic squares with sequential entries. It is the same property of bordered magic squares. In this work we considered 6 different types of magic squares of order 8. For multiples of orders 4, 6 and 10 see author's recent works. The further multiples, such as multiples of 12, 14, etc. shall be done in another works. This work brings examples only up to order 40. Higher orders examples can be seen in Excel file attached with the work. The total work is up to orders 120.