Homes sales in Virginia declined by 25 percent from the first quarter to the fourth in 1981, the Virginia Real Estate Research Center reported this week.

In its first annual housing report, the center at Virginia Commonwealth University said there was "an overall sharp decline in sales over the course of the year," the Associated Press reported from Richmond.

From 9,617 first-quarter home sales reported, the total for the final three months declined to 7,214 in the seven housing markets from which the center received data.

Northern Virginia led the other housing markets in sales with 18,907 and in average price with $96,601. Its home sales were followed by those of Norfolk-Portsmouth with 8,193 and Richmond with 5,161.

Recent house sales in Fairfax included the following, selected at random from information gathered by Rufus S. Lusk & Son Inc.: Annandale

Mr. and Mrs. J. T. Carter sold a house at 5032 King Richard Dr. for $99,000 to M. Reza Eftekhari. The seller took back a note for $84,000 at 11 and 12 percent.

Mr. and Mrs. D. W. Canzanelli sold a house at 4618 Quarter Charge Dr. for $140,000 to Floyd J. Stolt and others. The buyers assumed a trust of $62,128. The sellers took back a note for $40,000 at 14 percent for five years.

Mr. and Mrs. R. C. Dierkes sold a house at 7102 Lanier St. for $101,000 to Mr. and Mrs. Michael S. O'Lwan. The buyers assumed a trust of $45,028. The sellers took back three notes, one for $5,000 for five years.

R. A. Jones sold a house at 9217 Alyssum Way for $121,400 to Mr. and Mrs. Mohammad Y. Bokhari. The buyers assumed a trust of $52,400. The seller took back a note for $21,000 for three years.

Mr. and Mrs. W. G. Peters sold a house at 8600 Braeburn Dr. for $130,000 to Mr. and Mrs. William A. Newman. The buyers assumed a trust of $65,870. The sellers took back a note for $24,000 at 12 1/2 percent for two years. Burke

Mr. and Mrs. T. L. Sullivan sold a house at 5822 Oak Leather Dr. for $140,000 to Mr. and Mrs. Robert B. Carrier. The buyers assumed a trust for $85,291.

Mr. and Mrs. F. C. Stumpf Jr. sold a house at 6121 Quiet Pond Ct. for $92,000 to Mr. and Mrs. Thomas R. Friers. The buyers assumed a trust of $76,000 and the seller took back a note for $4,200 at 14 percent for five years.

Mr. and Mrs. D. E. McAlary sold a house at 10113 Schoolhouse Woods Ct. for $108,500 to Mr. and Mrs. Dennis M. Moen. The buyers assumed a trust of $81,790.

Mr. and Mrs. G. J. Mazur sold a house at 10009 Chestnut Wood La. for $94,000 to Mr. and Mrs. Albert Leon Jr. The buyers assumed a trust of $58,815.

Mr. and Mrs. D. F. Berkebile sold a house at 8904 Marianna Ct. for $145,000 to Mr. and Mrs. James M. Simpson. Kennedy Mortgage Investment Corp. placed a VA mortgage of $115,000 at 14 1/2 percent for 30 years. Chantilly

Mr. and Mrs. R. F. Vane Jr. sold a house at 4208 Dehaven Dr. for $79,000 to Mr. and Mrs. John P. Bohrer and others. The buyers assumed two trusts, one for $17,668 and another one for $41,455.

Mr. and Mrs. W. H. Howard sold a house at 4116 Galesbury La. for $88,598 to Mr. and Mrs. Michael W. Wolfe. The buyers assumed a trust of $64,950. The seller took back two notes, one for $14,200 at 14 percent for five years and another one for $3,500 at 14 percent for one year. Fairfax

Mr. and Mrs. J. W. Strickler sold a house at 12305 Hanger Rd. for $131,500 to Mr. and Mrs. Kenneth P. Warren. The buyers assumed a trust of $66,000. The seller took back a note for $25,000 for six years.

Mr. and Mrs. J. F. DeLuca sold a house at 3092 Winter Pine Ct. for $93,800 to Mr. and Mrs. Donald R. McKeever.

Mr. and Mrs. R. D. Riley sold a house at 10710 Stanhope Place for $110,000 to Mr. and Mrs. David V. Crowell. Manufacturers Hanover Mortgage Corp. placed a VA mortgage of $110,000 at 15 1/2 percent for 30 years.

Mr. and Mrs. F. H. Giesecke sold a house at 4310 Hollowview Ct. for $100,000 to Mr. and Mrs. James B. Thomas III. Mortgage Funding Corp. placed an FHA mortgage of $89,500 at 15 1/2 percent for 30 years.

Mr. and Mrs. W. D. Banta sold a house at 3206 Wynford Dr. for $141,000 to Mr. and Mrs. Hung M. Nguyen. The buyers assumed a trust of $21,156. The sellers took back a note for $99,666 at 12 percent for 10 years. Fairfax Station

Mr. and Mrs. T. C. DeLoach Jr. sold a house at 11823 Clara Way for $151,000 to Mr. and Mrs. William S. Pauling. Inland Mortgage Corp. placed a VA mortgage of $135,000 at 15 1/2 percent for 30 years. Falls Church

Mr. and Mrs. Pnagiotis Papadis sold a house at 2035 Griffith Rd. for $82,000 to Mr. and Mrs. Jan-On Wong. The buyers assumed a trust of $47,790. Opportunities Funding placed a note for $31,342 at percent for 30 years.

B. S. Gardner sold a house at 1928 Cherri Dr. for $65,000 to Mr. and Mrs. John L. Child. The buyer assumed a trust of $40,010. The sellers took back a note for $19,989 at 14 percent for five years.

Mr. and Mrs. M. J. Aller sold a house at 1938 Hillside Dr. for $78,050 to Marshall Tonsi. The buyer assumed a trust of $35,883. The seller took back a note for $27,050 at 13 percent for five percent.

Mr. and Mrs. E. M. Rowe sold a house at 6062 Leesburg Pike for $100,000 to Kenneth R. Henard. The seller took back a note for 75,000 at five percent. Great Falls

Mr. and Mrs. G. F. Jacobs sold a house at 12004 Holly Crest Ct. for $156,000 to Mr. and Mrs. Darrel Dochow. The buyer assumed an original trust of $97,000.

Mr. and Mrs. V. A. Runyon sold a house at 9517 Neuse Way for $284,000 to Mr. and Mrs. Rex H. Hollis. Cameron-Brown Co. placed a mortgage of $106,000. The sellers took back a note for $48,000 at 13 percent.

Mr. and Mrs. C. W. Burger sold a house at 9502 Arnow Chapel Rd. for $181,500 to Mr. and Mrs. Anthony I. Massiah. United Virginia Bank placed a mortgage of $131,500 for 30 years.

Mr. and Mrs. H. S. Tubaugh sold a house at 616 Springvale Rd. for $140,000 to Mr. and Mrs. Harry L. Wrenn. The sellers took back a note for $100,000 at 10 percent for 6 months. Herndon

Mr. and Mrs. P. R. Cataldo sold a house at 707 Fall Place for $85,759 to Mr. and Mrs. James J. Citron. The buyers assumed a trust of $45,759.

Mr. and Mrs. Toshio Oishi sold a house at 1236 Summerfield Dr. for $94,000 to Mr. and Mrs. James K. Sonnhalter. Guaranty Mortgage Corp. placed an FHA mortgage of $83,600 at 15 1/2 percent for 30 years. Lorton

Mr. and Mrs. R. A. Shulstad sold a house at 7410 Rhonda Dr. for $86,950 to Mr. and Mrs. Burgess H. Houston. The buyers assumed a trust of $54,450. Mr. and Mrs. J. M. Fahey placed a note for $8,160 at 18 1/2 percent for 15 years. The sellers took back a note for $12,050 at 14 percent for three years. McLean

S. F. Reynolds sold a house at 6520 Chesterfield Ave. for $83,000 to Mr. and Mrs. Bobby L. Childress. Kennedy Mortgage Investment Corp. placed a VA mortgage of $83,000 at 15.3 percent for 30 years.

Mr. and Mrs. C. G. Bjork sold a house at 6737 Towne Lane Rd. for $149,000 to Mr. and Mrs. John H. McAdoo. Chase Home Mortgage Co. placed a mortgage of $86,000 for 30 years.

Mr. and Mrs. R. D. Edison sold a house at 7728 Crossover Dr. for $282,500 to Mr. and Mrs. Robin I. Goldenberg. Dominion Financial & Investment Corp. placed a mortgage of $226,000 for five years.

Mr. and Mrs. D. W. Price sold a house at 1814 Baldwin Dr. for $156,500 to Mr. and Mrs. Thomas C. Waites. The buyers assumed a trust of $98,252. The sellers took back a note for $18,000 at 10 percent for 15 years. Oakton

Mr. and Mrs. Norbert Kleiner sold a house at 11704 Fox Vale Ct. for $124,000 to Mr. and Mrs. Freddy Vargas. The sellers took back a note for $60,000 at 12 1/2 percent for five years, and another one for $15,700 at 10 to 12 percent for five years. The buyers assumed a trust of $33,000.

Mr. and Mrs. G. E. Thompson sold a house at 3402 Miller Heights Rd. for $162,500 to the Crystal Gateway Corp. Reston

Mr. and Mrs. R. E. Badger sold a house at 10906 Ambleside Ct. for $101,500 to Mr. and Mrs. William S. Trapp. The buyers assumed a trust of $72,695.

Mr. and Mrs. D. A. Baker sold a house at 1482 Roundleaf Ct. for $95,000 to Mr. and Mrs. Dennis G. Lund. The buyers assumed a trust of $54,587. Springfield

Mr. and Mrs. C. L. Williams sold a house at 7221 Bona Vista Ct. for $116,900 to Mr. and Mrs. Teh-Chang Shih. The buyers assumed a trust of $61,104. The seller took back a note for $3,700 at 15 percent for 15 years.

Mr. and Mrs. J. B. Lee Jr. sold a house at 6319 Bridgeton Ct. for $122,000 to Liliane F. LeBreton and others. Kennedy Mortgage Investment Corp. placed an FHA mortgage of $89,500 at 14 1/2 percent for 30 years. Vienna

Mr. and Mrs. D. P. DeLeon sold a house at 9907 Brightlea Dr. for $72,634 to Mr. and Mrs. Johnny A. De Leon. The buyers assumed a trust of $45,000.

M. G. Lanning sold a house at 109 Moore Ave. SW, for $79,950 to Mr. and Mrs. John J. Coyle. The buyers assumed a trust of $27,578. The seller took back a note for $32,400 at 13 percent for six years. CAPTION: Picture, This house at 6106 Clearbrook Dr., Springfield, sold recently for $100,000. Columbia First Federal S & L placed a 30-year, $90,000 loan. By Milbert Orlando Brown--The Washington Post