Stoughton High students who are eligible to take Advanced Placement tests at reduced rates will continue to have that benefit, despite possible cuts to the federal program that subsidizes those rates, Superintendent of Schools Marguerite Rizzi said. The program is available to students who also are eligible for free or reduced-price school lunches. While the federal money is in limbo, the $1,032 needed to continue offering reduced rates will come from the high school’s Guidance Department budget. In a statement, Rizzi said she expects other cuts to follow in the wake of sequestration, the automatic budget cuts that went into effect March 1 after Congress and President Obama failed to reach a budget agreement. Rizzi said federal funding pays 14.5 teachers in the district and is an important part of several areas of the district budget.