[40.] A tree which grows each year 1 inch less than the previous year, grew a yard in the first year; the value of the tree at any time is equal to the number of pence in the cube of the number of yards of its height. What is the value of the tree when done growing?
THIS OFTEN “STICKS” PEOPLE UP.
[41.] What two odd numbers multiplied together make 7?
MAGIC SQUARES.
A Magic Square is a series of figures arranged in the equal divisions of a square in such a manner that the figures in each row when added up, whether horizontally, vertically, or diagonally, form exactly the same sum.
They have been called “Magic” because the ancients ascribed to them great virtues, and because this arrangement of numbers formed the basis and principle of their talismans. Archimedes devoted a great amount of attention to them, which has caused a great many to speak of them as “the squares of Archimedes.” They may be either odd or even. When the former, the following method will be found valuable:—
With the digits from 1 to 25 form a square so that the numbers when added up horizontally, vertically, or diagonally will amount to 65.