Take a ultra magic 9x9 square and add 20 to all numbers, so in the 9x9 inlay are the 81 middle numbers from 21 up to 101.
In the border are the 20 lowest (1 up to 20) and the 20 highest (102 up to 121) numbers. Read the explanation on webpage 3x3 in 5x5 & concentric, how to construct the border.
See in the download below how the 11x11 border has been constructed or use the download to puzzle your own border.
The result is:
Ultra 9x9 in 11x11 magic square
13 |
20 |
17 |
16 |
12 |
113 |
114 |
117 |
118 |
120 |
11 |
115 |
21 |
88 |
74 |
26 |
90 |
67 |
28 |
86 |
69 |
7 |
116 |
64 |
41 |
78 |
57 |
43 |
83 |
62 |
45 |
76 |
6 |
119 |
98 |
54 |
31 |
100 |
50 |
33 |
93 |
52 |
38 |
3 |
121 |
66 |
25 |
92 |
71 |
27 |
85 |
73 |
23 |
87 |
1 |
19 |
82 |
59 |
42 |
75 |
61 |
47 |
80 |
63 |
40 |
103 |
18 |
35 |
99 |
49 |
37 |
95 |
51 |
30 |
97 |
56 |
104 |
15 |
84 |
70 |
29 |
89 |
72 |
22 |
91 |
68 |
24 |
107 |
14 |
46 |
77 |
60 |
39 |
79 |
65 |
44 |
81 |
58 |
108 |
10 |
53 |
36 |
94 |
55 |
32 |
96 |
48 |
34 |
101 |
112 |
111 |
102 |
105 |
106 |
110 |
9 |
8 |
5 |
4 |
2 |
109 |
You can use this method to construct magic squares of odd order from 5x5 to infinity. See on this website 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 & 31x31