Unorthodox Behavior

A puzzle from the 18th century — punctuate this sentence so that it makes sense:

King Charles the First walked and talked half an hour after his head was cut off.

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Going Up

A puzzle by Virginia McCarthy:

A 20-story office building has one busy elevator. On a recent trip upward, the elevator transported seven passengers. Each of these went up at least two floors, but no two of them went up the same number of floors. On this one upward journey, no more than one passenger crossed the elevator’s threshold on any given floor; no passenger exited on the 17th floor; and the elevator’s doors opened at more odd-numbered floors than even-numbered floors. Anton was the last passenger on and the second one off. Bessie got on before Clara and after Dagwood and went up more floors than Dagwood did. Edsel went up exactly twice as many floors as Filbert and got off before Gerda got on. Gerda was not the last one to exit.

Where did each passenger enter and exit the elevator?

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The Banner of St. George

https://commons.wikimedia.org/wiki/File:Flag_of_Guernsey_(1936).svg

A “simple but pretty little puzzle” by Henry Dudeney: If this flag measures 4 feet by 3 feet and presents equal areas of red and white bunting, how wide are the cross’s arms?

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Matching Sums

https://commons.wikimedia.org/wiki/File:Regular_decagon.svg

A puzzle by Russian mathematician Sergei Berlov:

Here are two decagons. Suppose that a positive integer is written at each of the 20 vertices such that the sum of the numbers around each decagon is 99. Prove that it’s possible to mark some number of successive vertices on each decagon so that the two sums of marked numbers are equal. (The marked segment on a given decagon may be a single vertex, but not all 10.)

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C Change

How can we make sense of this passage, composed by Willard R. Espy?

The Optic Reed has a Haste Harm. It Hose, one assumes, not to be Lever; it neither Heats the Ripple, nor Hides the Razed sinner for his Rude Rime; it is not Old. Then Leave to it; ere thy grave Loses, thou mayst find here the Hart to the Rest thou Ravest to Limb.

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Round Numbers

A circle is divided into six sectors, into which are written (say, counterclockwise) these numbers:

1, 0, 1, 0, 0, 0

You can increase any two neighboring numbers by 1. By doing this repeatedly, is there a way to make all six numbers equal?

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