The Washington region’s budget officials are frightened by the $1 trillion in federal spending cuts that loom over their local economies, but District officials are also fretting over the possibility of closing local schools while Maryland and Virginia worry about finding money to fix their roads.

Local officials voiced their top financial concerns in a survey of legislative budget offices released Tuesday by the nonpartisan National Conference of State Legislatures that shows the fiscal picture improving in most states even while serious concerns linger.