Is it possible to cut A3 pages from a book in A4 pages

Do you mean the pages are scanned in a booklet format? (ie. the cover and last page are on one page, then the second page and the one before last, etc.)? If so, you can use this (paid-for) tool I've created to do it:

http://try67.blogspot.com/2013/12/acrobat-split-and-sort-scanned-booklet.html

You can also get it from my new web-site, where's there's currently a "soft launch" sale (The discount code is available on the front-page):

https://www.try67.com/tool/acrobat-split-and-sort-scanned-booklet-pages

Hi Maurice,

Thanks for reporting the issue here.

Please use Multiple/Booklet options from Print Dialog under Page Sizing & Handling to print A4 size pages with a A3 sized print.

Please check the same in attached screenshot as well : 

Regards,

Swapnil Srivastava

You can split the pages with the crop tool.