Friday 20 June 2014

More rectangular magic grids

In continuation of my previous blog,I am showing below bigger magic rectangular grids
1)3 rows/5 columns-Total each row 50,Total each column 30
First row-       1     17     2     16    14
Second row    9     10    21     6      4
Third row       20     3     7       8     12...Numbers from 1 to 21 with 5,11,13,15,18,19 avoided
You need a total all rows or all  columns 150.This total can be obtained by using the 15 numbers from 3 to 17. .Can you work up a rectangle using those numbers?
2)4 rows/5 columns-Total each row 60,Total each column 48
First row         1      13    24    5      17
2nd row          23     4      6     7      20
3rd row          15    12    16   14       3
4th row           9      19     2    22      8.....Numbers from 1 to 24 with 10,11,18,21 avoided
3)In the example above you needed a total all rows or all columns 240.As a variation I tried using the 20 numbers from 1 to5 and 8 to 22.
The grid is like this-
 First row            1      21   16    18     4
2nd row            11     12    3     15    19
3rd row             14     13   20     5      8
4th row              22      2     9    10    17

No comments:

Post a Comment