I used to cut 1/2 and 1/4 sheets, but now I only cut the 1/2 sheet for white and natural that I use for card bases. I do and score and fold them.
I have them in a "basket" on the desktop with 1/4 sheets of the different white/cream/glossy/shimmer white cs that I have cut into 1/4 sheets for stamping on
Then for colors I either have full sheets, or 1/4 sheets.
The 1/4 sheets and smaller scraps are filed by color in a drawer (and I have tabs using those post-it tabs with the color name stuck to a 1/4sheet of the color it it, to make it easy to color match scraps if they've been laying on the desk a while