All my scraps are sorted by widths. I have been going crazy making string quilts (they are now called Strata Quilts not string. I use pieces as small as 1" strips (not squares). I have made a 10.5" x 10.5" square quilt, already quilted, Blocks of 5.5" x 10.5", being quilted now and strips sewn together that are the width of Calculator tape (2.25"). I use the tape as the base. Have one colored and one in only blacks and whites (my piano keys). This is going to be used in a border somewhere.
I am having fun. I have even broken down and cut up some larger fabric to give me more strings. They don't even have to be the same width, can be 1" at one end and 2" at the other end. The smaller squares will eventually end up in 4 or 9 patches and worked in someplace. As long as I square the block when I finish have no trouble putting them together.