I love a maths challenge!
So my friend wanted to print a booklet of weekly inserts starting from March and finishing at the end of July. This is not too difficult to calculate as we know 1 week fits on 2 pages. And we know 2 pages is 1 sheet. As long as we know that 1 single sided sheet = 2 pages and 1 double sided sheet = 4 pages (and that 1 week fits on 2 pages) all we need to do is account for the 1st page (front cover) and last page (back cover)
so the formula is ….
let n = the number of weeks
let s = the number of sheets
let p = the number of pages
if n is even
s = n/2
p = 4s
if n is odd
So far, simple, right?
The challenge comes when we want to insert a monthly decoration page between each month, essentially a blank page after every 4 or 5 weeks… depending on how many weeks there are in the month!
It was like solving a rubies cube… every time we inserted an extra page at the beginning, we wound up with a page out of place in the other half of the booklet.
So here is the solution:
We count the number of weeks from the beginning of March until the end of July (23 weeks)
Then we count a monthly separator as 1 week. (we don’t count March as this is already accounted for in the formula because the first page is the front cover)
so April, May, June and July = 4 extra “weeks”
We convert the weeks and extra “weeks” to sheets.
23 weeks plus 4 extra “weeks” = 27
use formula : 27 is odd so add 1 = 28
then divide by 2 = 14 sheets
So now we know we need to print on 14 sheets. and this will give us 4 times as many pages. (56)
|Left side||Right side|
|Sheet 1||Side1||56 blank||1 FC MARCH|
|Sheet 1||Side 2||2 mt||55 fn|
|Sheet 2||Side1||54 mt||3 fn|
|Sheet 2||Side 2||4 mt||53 fn|
|Sheet 3||Side1||52 mt||5 fn|
|Sheet 3||Side 2||6 mt||51 fn|
|Sheet 4||Side1||50 mt||7 fn|
|Sheet 4||Side 2||8 mt||49 fn|
|Sheet 5||Side1||48 mt||9 fn|
|Sheet 5||Side 2||10 mt||47 fn|
|Sheet 6||Side1||46 mt||11 fn|
|Sheet 6||Side 2||12 blank||45 MS JUL|
|Sheet 7||Side1||44 blank||13 MS APRIL|
|Sheet 7||Side 2||14 mt||43 fn|
|Sheet 8||Side1||42 mt||15 fn|
|Sheet 8||Side 2||16 mt||41 fn|
|Sheet 9||Side1||40 mt||17. Fn|
|Sheet 9||Side 2||18 mt||39 fn|
|Sheet 10||Side1||38 mt||19 fn|
|Sheet 10||Side 2||20 mt||37 fn|
|Sheet 11||Side1||36 mt||21 fn|
|Sheet 11||Side 2||22 blank||35 MS JUN|
|Sheet 12||Side1||34 blank||23 MS MAY|
|Sheet 12||Side 2||24 mt||33 fn|
|Sheet 13||Side1||32 mt||25 fn|
|Sheet 13||Side 2||26 mt||31 fn|
|Sheet 14||Side1||30 mt||27 fn|
|Sheet 14||Side 2||28 mt||29 fn|
mt = Mon, Tues, Weds, Thurs
fn = Fri, Sat, Sun, Notes
ms = monthly separator
As you can clearly see from the table, 9 sheets ( shown in green ) are identical (both sides) apart from the page numbers.
Only Sheets 1, 6, 7, 11 and 12 (shown in red) require one side to be printed with the blank left and decoration on the right, while the reverse side will be printed with the weekly spread.
Hope you find this information useful !
Don’t forget to visit Stash On Ray for custom inserts for your TN