skip to main content


Random Puzzles 


???

Puzzle 1 


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.

Sacks 7 28 196 34 5

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

workings hint answer print

??

Puzzle 2 


What is the smallest positive integer, which …

… when multiplied by 7 gives a number consisting of only 6's?

Puzzle Copyright © Kevin Stone

workings hint answer print

?

Puzzle 3 


Two explorers went wandering one day, one mile south, then one mile east, then one mile north, and they were back where they started.

What colour was the bear that was eating their sandwiches?

workings hint answer print

?

Puzzle 4 


Student Accommodationall logic puzzles

Alex, Bret, Chris, Derek, Eddie, Fred, Greg, Harold, and John are nine students who live in a three-storey building, with three rooms on each floor. A room in the West wing, one in the centre, and one in the East wing. If you look directly at the building, the left side is West and the right side is East. Each student is assigned exactly one room. Can you find where each of their rooms is:

Harold does not live on the bottom floor.
Fred lives directly above John and directly next to Bret (who lives in the West wing).
Eddie lives in the East wing and one floor higher than Fred.
Derek lives directly above Fred.
Greg lives directly above Chris.

Puzzle Copyright © Chris Joh

workings answer print