Hard Puzzles 

The Miller next took the company aside and showed them nine sacks of flour that were standing as depicted in the sketch.

"Now, hearken, all and some," said he, "while that I do set ye the riddle of the nine sacks of flour.

And mark ye, my lords, that there be single sacks on the outside, pairs next unto them, and three together in the middle thereof.

By Saint Benedict, it doth so happen that if we do but multiply the pair, 28, by the single one, 7, the answer is 196, which is of a truth the number shown by the sacks in the middle.

Yet it be not true that the other pair, 34, when so multiplied by its neighbour, 5, will also make 196.

Wherefore I do beg you, gentle sirs, so to place anew the nine sacks with as little trouble as possible that each pair when thus multiplied by its single neighbour shall make the number in the middle."

As the Miller has stipulated in effect that as few bags as possible shall be moved, there is only one answer to this puzzle, which everybody should be able to solve.

The Miller's Puzzle – The Canterbury Puzzles, Henry Ernest Dudeney.

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Place the words below into pairs. You will then have 5 lots of eight letters, each of which is an anagram of another word. What are the original 5 words?

peer time date wall june tone snob seat pale veil

Puzzle Copyright © Kevin Stone

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Your objective is to place some diagonal mirrors into the grid.

If a ray of light is shone in to the grid from each of the letters, and allowed to bounce off the internal diagonal mirrors, each will exit the grid at the twin of the letter that it entered the grid. For example, a ray entering at either letter D will bounce off some mirrors and exit the grid at the other letter D.

Each row and each column will contain exactly two of the diagonal mirrors.

Puzzle Copyright © Elliott Line
This puzzle appeared in Mensa's EnigmaSig (196.26) and is used with permission.

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Complete the grid such that every row and column contains the digits 1 to 6.

All squares that are connected contain the same digit.

Puzzle Copyright © Johan de Ruiter

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