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1. To affix something onto a vertical surface or a higher position with a liquid adhesive. A noun or pronoun can be used between "paste" and "up." So many different theaters and promotional companies paste up posters for their shows that I can never remember what's actually showing in a given week. I spent the whole weekend pasting wallpaper up in the all the rooms of the house.
2. To apply a liquid adhesive to something in order to repair it or hold it together. A noun or pronoun can be used between "paste" and "up." I tried pasting up the book after the pages started falling out, but the whole thing just ended up getting stuck together. Tommy's toy broke, so I'm going to try pasting it up for him.
paste something up
1. to repair something with paste. See if you can paste this book up so it will hold together. Paste up the book and hope it holds together for a while.
2. to assemble a complicated page of material by pasting the parts together. There is no way a typesetter can get this page just the way you want it. You'll have to paste it up yourself. Paste up this page again and let me see it.