Just remember, the more times you cut the fabric, the smaller resulting size quilt. 10 FQ's is 2.5 yards. That's not much. There are several quick options I would think about.
Using the Big Block theory, you could just lay the FQ's out in a pleasing arrangement and sew them together, squaring up rows, quilt and bind the quilt.
Assuming your FQ's are a full 18x22, you can cut them twice and get 40 pieces of fabric 9x11. Arrange these pleasingly in rows and sew them together. You can get a decent sized quilt. I would draw a graph out and color it to see if you have enough of the FQ's before you ever cut the first one.
Just cutting the FQ's once, will give you either a 22x9 or 18x11. Using the 22x9, you could do a brickwork type pattern where you have no seams to match. These are great for speed.