536 Puzzles and Curious Problems

(Elliott) #1

  1. A FOUR-FIGURE
    MAGIC SQUARE


The solution explains itself. The
columns, rows, and two diagonals all
add up alike to 6,726, and nine of
each of the figures 1,2,3,4 have been
employed.


2243


3141


1342


Answers 347

131:1 3142


2242 1343


3143 2241



  1. PROGRESSIVE SQUARES


Fill in the following numbers in the order given, beginning at the cell in the
top right-hand corner and proceeding downwards and "round the square": 13,
81,78,6,75,8, IS, 16,77,70, 19, 79, 21, 9, 23, 2, 69, 66, 67, 74, 7, 76, 4, 1,5,
80,59,73,61,3,63, 12. It is obvious that opposite numbers in the border must
sum to 82 in all cases, but a correct adjustment of them is not very easy. Of
course there are other solutions.


18 22 1


24- (^3) r
(^5 9) 1?>
6 15 19



  1. 16 2.5


10


11

17


23


4


14


20


21


2


8



  1. CONDITIONAL
    MAGIC SQUARE


The example here shown is a solu-
tion, with the odd numbers and even
numbers placed in the positions
desired.


  1. THE FIVE-POINTED STAR


Referring to Figure I, on page 348, we will call A, B, C, D, E the "pentagon,"
andF, G, H, J, K the "points." Write in the numbers 1,2,3,4,5 in the pentagon
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