Do you know what weight paper this is?

Not exactly, but it is heavier than regular rolls of white paper. I'd guess it's about the weight of the paper used for a manila envelope. I used it to make a 20-foot family tree which I had to roll and unroll many times, and I did not have a problem with it ripping.

Does this paper stick with double sided tape? I'm having trouble with the brown paper that has a shiny side not staying stuck down.

You can stick light things to it with double sided tape. I made a 20-foot family tree with it and had to use Command strips placed every foot to 1/2 feet which worked very well.

ASIN	B004BX7CZI
Best Sellers Rank	#22,497 in Arts, Crafts & Sewing ( See Top 100 in Arts, Crafts & Sewing ) #212 in Decorative Craft Paper
Brand	Lineco
Color	Gray
Date First Available	February 10, 2012
Item Weight	2.4 ounces
Item model number	613-1272L
Manufacturer	Lineco
Material	Paper
Number of Items	1
Paper Dimensions	12 x 72 inches
Paper Finish	Uncoated
Paper Weight	22
Product Dimensions	72"L x 12"W
Sheet Count	1
Sheet Size	12x72 inch
UPC	099295002110
Unit Count	1 Count

Lineco Frame Backing Paper Gray 12X72 in Roll

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