are that the cask did
not contain much more than eight pints of ale. The contents, however, do
not affect the solution of the puzzle. He then closed the tap and emptied
the 3-pint into the barrel; filled the 3-pint from the 5-pint; emptied
the 3-pint into the barrel; transferred the two pints from the 5-pint to
the 3-pint; filled the 5-pint from the barrel, leaving one pint now in
the barrel; filled 3-pint from 5-pint; allowed the company to drink the
contents of the 3-pint; filled the 3-pint from the 5-pint, leaving one
pint now in the 5-pint; drank the contents of the 3-pint; and finally
drew off one pint from the barrel into the 3-pint. He had thus obtained
the required one pint of ale in each measure, to the great astonishment
of the admiring crowd of pilgrims.

7.--_Clerk of Oxenford's Puzzle._

The illustration shows how the square is to be cut into four pieces, and
how these pieces are to be put together again to make a magic square. It
will be found that the four columns, four rows, and two long diagonals
now add up to 34 in every case.

[Illustration]

8.--_The Tapiser's Puzzle._

The piece of tapestry had to be cut along the lines into three pieces so
as to fit together and form a perfect square, with the pattern properly
matched. It was also stipulated in effect that one of the three pieces
must be as small as possible. The illustration shows how to make the cuts
and how to put the pieces together, while one of the pieces contains only
twelve of the little squares.

[Illustration]

9.--_The Carpenter's Puzzle._

The carpenter said that he made a box whose internal dimensions were
exactly the same as the original block of wood--that is, 3 feet by 1 foot
by 1 foot. He then placed the carved pillar in this box and filled up all
the vacant space with a fine, dry sand, which he carefully shook down
until he could get no more into the box. Then he removed the pillar,
taking great care not to lose any of the sand, which, on being shaken
down alone in the box, filled a space equal to one cubic foot. This was,
therefore, the quantity of wood that had been cut away.

10.--_The Puzzle of the Squire's Yeoman._

The illustration will show how three of the arrows were removed each to a
neighbouring square on the signboard of the "Chequers" Inn, so that still
no arrow was in line with another. The black dots indicate the squares on
which the three arrows originally stood.

[Illustration