536 Puzzles and Curious Problems

28 Arithmetic & Algebraic Problems OUT AND HOME Colonel Crackham says that his friend, Mr. Wilkinson, walks from his count ...

Speed & Distance Puzzles 29 If this little puzzle gives the reader much trouble he will certainly smile when he sees the ans ...

30 Arithmetic & Algebraic Problems THE FALSE SCALES A pudding, when put into one of the pans of these scales, appeared to ...

task of weighing the baby. Whenever they attempted to put the baby alone on the machine she always yelled and rolled off, while ...

32 Arithmetic & Algebraic Problems This appears to be an excellent method of introducing the elements of algebra to the untu ...

Digital Puzzles 33 five and the smallest square number with five similar digits at the end might be 24677777. But this is certai ...

34 Arithmetic & Algebraic Problems 109. THE TWO FOURS I am perpetually receiving inquiries about the old "Four Fours" puzzle ...

Digital Puzzles 35 very easily found. For example, the squares of 1, 11, Ill, and 1111 are respec- tively 1, 121, 12321, and 123 ...

36 Arithmetic & Algebraic Problems ANOTHER 37 DIVISION Here is an interesting extension of the last puzzle. If the nine di ...

Digital Puzzles 37 "Not at all," he replied. "Take another number at random-4913-and the digits add to 17, the cube of which is ...

38 Arithmetic & Algebraic Problems DIGITAL PROGRESSION "If you arrange the nine digits," said Professor Rackbrane, "in thr ...

Digital Puzzles 39 DIGITS AND SQUARES One of Rackbrane's little Christmas puzzles was this: (1) What is the smallest square nu ...

40 Arithmetic & Algebraic Problems nine digits once, and once only? The fractions may be formed in one of the following ways ...

Digital Puzzles 41 first total, 657, and the second, 819, is the same as the difference between the second, 819, and the third, ...

42 Arithmetic & Algebraic Problems THE EIGHT CARDS Colonel Crackham placed eight numbered cards on the breakfast table, as ...

Skeleton Puzzles 43 What number is it that can be multiplied by I, 2, 3, 4, 5, or 6 and no new figures appear in the result? AD ...

44 Arithmetic & Algebraic Problems A COMPLETE SKELETON This is an arrangement without any figure at all, constructed by Mr ...

Skeleton Puzzles 45 AN ABSOLUTE SKELETON Here is a good skeleton puzzle. The only conditions are: (l) No digit appears twice in ...

46 Arithmetic & Algebraic Problems SIMPLE DIVISION Can you restore this division problem by substituting a figure for every ...

Cryptarithm Puzzles 47 ALPHABETICAL SUMS There is a family resemblance between puzzles where an arithmetical working has to be ...