## PRIZE PUZZLE FOR JUNE 2009## PAGES OF A BOOKLET
The diagram left shows a sheet of A4 paper that is one of many
that will make an A5 booklet by folding down the middle and
stapling, similar to the way The page numbers (78 and 11) are shown. What are the page numbers on the other side of the sheet? Note that pages are conventionally numbered from 1 with odd numbered pages on the right.
The answer is 77 and 12. If you add the page numbers you always get one more than the total number of pages so these pages would comprise a booklet of 88 pages -- always a multiple of four, of course. The back of the odd numbered pages will ascend (as you turn the page) so 12 is on the back of 11 and the back of even numbered pages will be one less (you have just read that page) so 77 is on the back of page 78. The usual solvers sent in correct answers and Richard Burkill won the draw. Well done. The July puzzle is just as easy, also in Hot Key magazine for July. |