# MATH TRICKS, BRAIN TWISTERS, AND PUZZLES-eBOOK

MATH TRICKS,
BRAIN TWISTERS,
AND PUZZLES
by
JOSEPH DEGRAZIA, Ph.D.

I. TRIFLES . . . . . . . . . . . 9
II. ON THE BORDERLINE OF MATHEMATICS . . 14
III. FADED DOCUMENTS . . . . . . . . 25
IV. CRYPTOGRAMS . . . . . . . . . 37
V. HOW OLD ARE MARY AND ANN? . . . . 42
VI. WOLF, GOAT AND CABBAGE - AND OTHER ODD
COINCIDENCES . . . . . . . . . 46
VII. CLOCK PUZZLES . . . . . . . . . 50
VIII. TROUBLE RESULTING FROM THE LAST WILL
AND TESTAMENT . . . . . . . . 53
IX. SPEED PUZZLES . . . . . . . . . 58
X. RAILROAD SHUNTING PROBLEMS . . . 65
XI. AGRICULTURAL PROBLEMS . . . . . . 69
XII. SHOPPING PUZZLES . . . . . . . . 73
XIII. WHIMSICAL NUMBERS . . . . . 78
XIV. PLAYING WITH SqUARES. . . . 83
XV. MISCELLANEOUS PROBLEMS . . . . . . 88
XVI. PROBLEMS OF ARRANGEMENT . . . . . 96
XVII. PROBLEMS AND GAMES . . . . . . . 104
SOLUTIONS . . . . . . . 109-159
This book is the result of twenty years of puzzle collecting. For
these many years I have endeavored to gather everything
belonging to the realm of mathematical entertainment from
all available sources. As an editor of newspaper columns on
scientific entertainment, I found my readers keenly interested
in this kind of pastime, and these readers proved to be among
my best sources for all sorts of problems, both elementary
and intricate.
Puzzles seem to have beguiled men in every civilization, and
the staples of scientific entertainment are certain historic problems
which have perplexed and diverted men for centuries.
Besides a number of these, this book contains many problems
never before published. Indeed, the majority of the problems
have been devised by me or have been developed out of
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