Prince William School Superintendent Richard Johnson last week told the School Board that he will meet with representatives from the U.S. General Accounting Office this week to discuss a possible merger of the four schools on the Quantico Marine Base with the county's school system.

According to Johnson, a cutback in federal funding may make the move necessary. He said Congress has asked the GAO to research alternatives to operating schools on military bases.

This is at least the third time since 1978 that such a request has been made, according to school spokesman Kristy Larson. The base has three elementary schools and one high school, with a total student enrollment of 1,300.

Prince William currently serves more than 35,000 students. Two new elementary schools are slated to open in September, but a seventh high school will not be built until 1987. The problems inherent in such a merger are a serious consideration, Johnson said, but he is "willing to listen." The GAO must have a report on the issue back to Congress by May 1, Larson said.

Meanwhile, a decision on the 1985-86 school calendar was tabled after board members decided they wanted to see sample calendars based on the information presented to them by the staff. If adopted as presented, the calendar would allow 185 days of instruction with an Aug. 22 opening day.

That date, about one week earlier than usual, was chosen because some Woodbridge High School parents wanted school to be dismissed one week earlier in June, according to Larson. "They want graduates to have a jump on the job market," she said. "Also, most parents believe kids are bored and ready to go back to school by mid-August."

The proposed calendar for the first time allows a legal holiday on the Rev. Martin Luther King Jr.'s birthday, Jan. 15, although teachers would be required to work.

In other business the board: T* Heard that the staff is hiring an actuary to handle the teacher retirement fund set up two weeks ago by Johnson with unallocated funds from the state's education moneys to the county. A retirement plan will be prepared by June "if not sooner," according to the staff.

* Learned that the winning bid for trash service to the schools was $98,902, which is $60,000 less than had been projected. Johnson declined to add the savings to the new retirement fund, preferring, he said, to put it back into the budget.

* Expelled one student for a drug-related offense, bringing the total to eight this school year, and readmitted a student who had been expelled in 1983.