Look at your rifle and scope. Have a bit set and driver with a bit for every screw/nut/bolt/fastener on the gun. A punch set. A "fat wrench" works well and doesn't take up too much space or break the bank for torque. Some sort of "gun oil." 3 piece cleaning rod. Your favorite cleaning accessories. A non-marring hammer.
Not specific to 22lr match, however, the bolt shroud on my RPR 6.5 creedmoor broke at a match and lodged such that I could neither close the bolt, nor fold the stock to remove the bolt. I had to remove the stock, then remove the receiver extension to remove the bolt shroud. Then I could rotate the cocking piece so that the bolt would close and I could fold the stock assembly to remove the bolt. As it happened I had just built out a tool kit, including an ar15 armorers' wrench and was able to get the gun going between stages. My kit contains all of the tools necessary to build an ar15, except a vice- and I've contemplated a receiver hitch vice to eliminate that deficiency.