Form N-Q

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, DC 20549

FORM N-Q


QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number         811-7486         

        Nuveen Maryland Premium Income Municipal Fund         
(Exact name of registrant as specified in charter)

Nuveen Investments
        333 West Wacker Drive, Chicago, Illinois 60606         
(Address of principal executive offices) (Zip code)


Kevin J. McCarthy Vice President and Secretary
        333 West Wacker Drive, Chicago, Illinois 60606         
(Name and address of agent for service)

Registrant's telephone number, including area code:         312-917-7700        

Date of fiscal year end:            5/31          

Date of reporting period:         2/28/09         

Form N-Q is to be used by management investment companies, other than small business investment companies registered on Form N-5 (§§ 239.24 and 274.5 of this chapter), to file reports with the Commission, not later than 60 days after the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use the information provided on Form N-Q in its regulatory, disclosure review, inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and the Commission will make this information public. A registrant is not required to respond to the collection of information contained in Form N-Q unless the Form displays a currently valid Office of Management and Budget ("OMB") control number. Please direct comments concerning the accuracy of the information collection burden estimate and any suggestions for reducing the burden to the Secretary, Securities and Exchange Commission, 450 Fifth Street, NW, Washington, DC 20549-0609. The OMB has reviewed this collection of information under the clearance requirements of 44 U.S.C. § 3507.

Item 1. Schedule of Investments

    Portfolio of Investments (Unaudited)             
    Nuveen Maryland Premium Income Municipal Fund (NMY)             
    February 28, 2009             
Principal        Optional Call         
Amount (000)    Description (1)    Provisions (2)    Ratings (3)    Value 
    Consumer Discretionary – 2.1% (1.4% of Total Investments)             
$      4,825    Baltimore, Maryland, Senior Lien Convention Center Hotel Revenue Bonds, Series 2006A, 5.250%,    9/16 at 100.00    Baa3   $   2,902,527 
     9/01/39 – SYNCORA GTY Insured             
    Consumer Staples – 1.5% (1.0% of Total Investments)             
2,865    Puerto Rico, The Children’s Trust Fund, Tobacco Settlement Asset-Backed Refunding Bonds,    5/12 at 100.00    BBB    2,053,403 
     Series 2002, 5.375%, 5/15/33             
    Education and Civic Organizations – 16.9% (11.1% of Total Investments)             
1,250    Frederick County, Maryland, Educational Facilities Revenue Bonds, Mount Saint Mary’s College,    9/16 at 100.00    BBB–    835,913 
     Series 2006, 5.625%, 9/01/38             
1,000    Hartford County, Maryland, Economic Development Revenue Bonds, Battelle Memorial Institute,    4/14 at 100.00    A+    886,180 
     Series 2004, 5.250%, 4/01/34             
    Maryland Economic Development Corporation, Utility Infrastructure Revenue Bonds, University of             
    Maryland – College Park, Series 2001:             
980     5.375%, 7/01/15 – AMBAC Insured    7/11 at 100.00    A    1,036,958 
980     5.375%, 7/01/16 – AMBAC Insured    7/11 at 100.00    A    1,036,958 
    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Bullis School,             
    Series 2000:             
750     5.250%, 7/01/25 – FSA Insured    1/11 at 101.00    AAA    727,538 
500     5.250%, 7/01/30 – FSA Insured    1/11 at 101.00    AAA    459,095 
1,250    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Goucher College,    7/14 at 100.00    A–    1,087,163 
     Series 2004, 5.125%, 7/01/34             
1,825    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Maryland Institute    6/16 at 100.00    Baa1    1,406,655 
     College of Art, Series 2006, 5.000%, 6/01/30             
1,365    Montgomery County Revenue Authority, Maryland, Lease Revenue Bonds, Montgomery College Arts    5/15 at 100.00    A1    1,426,821 
     Center Project, Series 2005A, 5.000%, 5/01/19             
9,445    Morgan State University, Maryland, Student Tuition and Fee Revenue Refunding Bonds, Academic    No Opt. Call    AA–    11,153,788 
     Fees and Auxiliary Facilities, Series 1993, 6.100%, 7/01/20 – MBIA Insured             
1,685    University of Maryland, Auxiliary Facility and Tuition Revenue Bonds, Series 2006A, 5.000%, 10/01/22    10/16 at 100.00    AA+    1,815,166 
    Westminster, Maryland, Educational Facilities Revenue Bonds, McDaniel College, Series 2006:             
910     5.000%, 11/01/31    11/16 at 100.00    BBB+    745,891 
850     4.500%, 11/01/36    11/16 at 100.00    BBB+    599,896 
22,790    Total Education and Civic Organizations            23,218,022 
    Health Care – 22.7% (14.9% of Total Investments)             
1,525    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Calvert Memorial    7/14 at 100.00    A2    1,347,810 
     Hospital, Series 2004, 5.500%, 7/01/36             
3,250    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Carroll County    7/12 at 100.00    A3    2,891,103 
     General Hospital, Series 2002, 5.800%, 7/01/32             
400    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Carroll Hospital    7/16 at 100.00    A3    303,160 
     Center, Series 2006, 5.000%, 7/01/40             
1,665    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Civista Medical    7/14 at 100.00    A3    1,104,678 
     Center, Series 2005, 5.000%, 7/01/37 – RAAI Insured             
1,740    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Doctors Community    7/17 at 100.00    Baa3    1,175,805 
     Hospital, Series 2007A, 5.000%, 7/01/29             
1,400    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Frederick Memorial    7/12 at 100.00    Baa1    1,007,216 
     Hospital, Series 2002, 5.125%, 7/01/35             
1,500    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Greater Baltimore    7/11 at 100.00    A+    1,231,755 
     Medical Center, Series 2001, 5.000%, 7/01/34 – MBIA Insured             
1,000    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Johns Hopkins Hospital,    7/09 at 100.00    AA–    946,900 
     Howard County General Hospital Acquisition, Series 1998, 5.000%, 7/01/19 – MBIA Insured             
1,430    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Johns Hopkins    7/14 at 100.00    AA    1,382,167 
     Hospital, Series 2004, Inverse 1003, 13.498%, 7/01/33 (IF)             
2,000    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Kaiser Permanente    6/09 at 101.00    A+    2,024,460 
     System, Series 1998A, 5.375%, 7/01/15             
3,800    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Kennedy Krieger    7/13 at 100.00    Baa3    2,929,002 
     Institute, Series 2003, 5.500%, 7/01/33             
1,175    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, LifeBridge Health    7/17 at 100.00    AAA    1,117,578 
     System, Series 2008, 5.000%, 7/01/28 – AGC Insured             
1,750    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, MedStar Health,    8/14 at 100.00    A–    1,649,970 
     Series 2004, 5.375%, 8/15/24             
3,310    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, MedStar Health,    5/16 at 100.00    AAA    3,266,010 
     Series 2007, 5.250%, 5/15/46 – BHAC Insured             
    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Mercy Medical             
    Center Project, Series 2007A:             
1,010     5.000%, 7/01/37    7/17 at 100.00    BBB    723,645 
670     5.500%, 7/01/42    7/17 at 100.00    BBB    517,488 
1,700    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Peninsula Regional    7/16 at 100.00    A    1,408,620 
     Medical Center, Series 2006, 5.000%, 7/01/36             
3,250    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Union Hospital of    7/12 at 100.00    A3    2,952,040 
     Cecil County, Series 2002, 5.625%, 7/01/32             
1,000    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, University of    7/13 at 100.00    A    904,730 
     Maryland Medical System, Series 2004B, 5.000%, 7/01/24 – AMBAC Insured             
2,395    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Washington County    1/18 at 100.00    BBB–    1,842,258 
     Hospital, Series 2008, 5.750%, 1/01/38             
    Prince George’s County, Maryland, Revenue Bonds, Dimensions Health Corporation, Series 1994:             
420     5.375%, 7/01/14    7/09 at 100.00    B3    352,783 
295     5.300%, 7/01/24    7/09 at 100.00    B3    182,983 
36,685    Total Health Care            31,262,161 
    Housing/Multifamily – 12.5% (8.2% of Total Investments)             
1,450    Maryland Community Development Administration, FNMA Multifamily Development Revenue Bonds,    2/11 at 101.00    Aaa    1,488,440 
     Edgewater Village Apartments, Series 2000B, 5.800%, 8/01/20 (Alternative Minimum Tax)             
2,500    Maryland Community Development Administration, Housing Revenue Bonds, Series 1999A, 5.350%,    7/09 at 101.00    Aa2    2,272,275 
     7/01/41 (Alternative Minimum Tax)             
880    Maryland Community Development Administration, Housing Revenue Bonds, Series 1999B, 6.250%,    1/10 at 100.00    Aa2    882,420 
     7/01/32 (Alternative Minimum Tax)             
1,000    Maryland Economic Development Corporation, Senior Lien Student Housing Revenue Bonds,    10/13 at 100.00    B2    640,950 
     University of Maryland – Baltimore, Series 2003A, 5.625%, 10/01/23             
1,000    Maryland Economic Development Corporation, Student Housing Revenue Bonds, Collegiate Housing    6/09 at 102.00    Baa3    876,580 
     Foundation – Salisbury State University, Series 1999A, 6.000%, 6/01/19             
1,145    Maryland Economic Development Corporation, Student Housing Revenue Refunding Bonds, University    6/16 at 100.00    Baa2    779,963 
     of Maryland College Park Projects, Series 2006, 5.000%, 6/01/33 – CIFG Insured             
3,830    Montgomery County Housing Opportunities Commission, Maryland, FNMA/FHA-Insured Multifamily    7/09 at 100.50    Aaa    3,714,486 
     Housing Development Bonds, Series 1998A, 5.200%, 7/01/30             
360    Montgomery County Housing Opportunities Commission, Maryland, GNMA/FHA-Insured Multifamily    7/09 at 100.00    Aa2    360,677 
     Housing Revenue Bonds, Series 1995A, 5.900%, 7/01/15             
2,000    Montgomery County Housing Opportunities Commission, Maryland, Multifamily Housing Development    7/10 at 100.00    Aaa    2,012,860 
     Bonds, Series 2000A, 6.100%, 7/01/30             
540    Prince George’s County Housing Authority, Maryland, GNMA Collateralized Mortgage Revenue    9/09 at 102.00    AAA    542,889 
     Bonds, University Landing Apartments, Series 1999, 6.100%, 3/20/41 (Alternative Minimum Tax)             
    Prince George’s County Housing Authority, Maryland, GNMA Collateralized Mortgage Revenue             
    Refunding Bonds, Overlook Apartments, Series 1995A:             
2,000     5.700%, 12/20/15    6/09 at 100.00    AAA    2,003,840 
1,670     5.750%, 12/20/19    6/09 at 100.00    AAA    1,672,071 
18,375    Total Housing/Multifamily            17,247,451 
    Housing/Single Family – 9.7% (6.4% of Total Investments)             
650    Maryland Community Development Administration Department of Housing and Community    3/17 at 100.00    Aa2    599,775 
     Development, Residential Revenue Bonds, Series 2007H, 5.000%, 9/01/27 (Alternative             
     Minimum Tax)             
2,510    Maryland Community Development Administration Department of Housing and Community    9/18 at 100.00    Aa2    2,482,139 
     Development, Residential Revenue Bonds, Series 2008C, 5.375%, 9/01/39             
1,195    Maryland Community Development Administration, Department of Housing and Community    9/15 at 100.00    Aa2    1,107,430 
     Development, Residential Revenue Bonds, Series 2006F, 4.900%, 9/01/26 (Alternative             
     Minimum Tax)             
4,100    Maryland Community Development Administration, Department of Housing and Community    3/16 at 100.00    Aa2    3,788,194 
     Development, Residential Revenue Bonds, Series 2006I, 4.875%, 9/01/26 (Alternative             
     Minimum Tax)             
1,630    Maryland Community Development Administration, Department of Housing and Community    9/16 at 100.00    Aa2    1,425,957 
     Development, Residential Revenue Bonds, Series 2006L, 4.900%, 9/01/31 (Alternative             
     Minimum Tax)             
1,200    Maryland Community Development Administration, Department of Housing and Community    3/17 at 100.00    Aa2    1,018,380 
     Development, Residential Revenue Bonds, Series 2007D, 4.850%, 9/01/37 (Alternative             
     Minimum Tax)             
2,330    Maryland Community Development Administration, Residential Revenue Bonds, Series 2005E,    9/14 at 100.00    Aa2    2,093,458 
     4.900%, 9/01/36 (Alternative Minimum Tax)             
600    Maryland Community Development Administration, Residential Revenue Bonds, Series 2006B,    9/15 at 100.00    Aa2    548,718 
     4.750%, 9/01/25 (Alternative Minimum Tax)             
5    Prince George’s County Housing Authority, Maryland, FHLMC/FNMA/GNMA Collateralized Single    8/10 at 100.00    AAA    5,050 
     Family Mortgage Revenue Bonds, Series 2000A, 6.150%, 8/01/19 (Alternative Minimum Tax)             
320    Puerto Rico Housing Finance Authority, Mortgage-Backed Securities Program Home Mortgage    6/13 at 100.00    AAA    276,426 
     Revenue Bonds, Series 2003A, 4.875%, 6/01/34 (Alternative Minimum Tax)             
14,540    Total Housing/Single Family            13,345,527 
    Industrials – 1.3% (0.8% of Total Investments)             
2,010    Maryland Economic Development Corporation, Solid Waste Disposal Revenue Bonds, Waste    4/12 at 101.00    BBB    1,741,163 
     Management Inc., Series 2002, 4.600%, 4/01/16 (Alternative Minimum Tax)             
    Long-Term Care – 2.4% (1.6% of Total Investments)             
2,455    Baltimore County, Maryland, Revenue Bonds, Oak Crest Village, Series 2007A, 5.000%, 1/01/37    1/17 at 100.00    BBB+    1,745,039 
1,000    Carroll County, Maryland, Revenue Refunding Bonds, EMA Obligated Group, Series 1999A, 5.625%,    7/09 at 101.00    BBB+    840,390 
     1/01/25 – RAAI Insured             
1,065    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Mercy Ridge    7/17 at 100.00    A–    688,608 
     Retirement Community, Series 2007, 4.750%, 7/01/34             
4,520    Total Long-Term Care            3,274,037 
    Tax Obligation/General – 32.2% (21.2% of Total Investments)             
2,030    Anne Arundel County, Maryland, General Obligation Bonds, Series 2004, 5.000%, 4/01/16    4/14 at 100.00    AAA    2,265,642 
1,000    Anne Arundel County, Maryland, General Obligation Bonds, Series 2006, 5.000%, 3/01/21    3/16 at 100.00    AAA    1,087,290 
685    Anne Arundel County, Maryland, Water and Sewer Revenue Bonds, Series 2006, 5.000%, 3/01/17    3/16 at 100.00    AAA    783,654 
    Baltimore County, Maryland, Metropolitan District Special Assessment Bonds, 67th Issue:             
2,500     5.000%, 6/01/25    6/11 at 101.00    AAA    2,568,050 
3,500     5.000%, 6/01/26    6/11 at 101.00    AAA    3,587,605 
1,540    Baltimore, Maryland, General Obligation Consolidated Public Improvement Bonds, Series 2004A,    10/14 at 100.00    AA–    1,609,007 
     5.000%, 10/15/22 – AMBAC Insured             
700    Carroll County, Maryland, Consolidated Public Improvement Bonds, Series 2005A, 5.000%, 12/01/16    12/15 at 100.00    AA+    804,314 
    Charles County, Maryland, Consolidated General Obligation Public Improvement Bonds, Series 2006:             
2,185     5.000%, 3/01/14    No Opt. Call    AA    2,474,556 
820     5.000%, 3/01/16    No Opt. Call    AA    945,050 
    Howard County, Maryland, Consolidated Public Improvement Bonds, Series 2004B:             
1,625     5.000%, 8/15/17    2/14 at 100.00    AAA    1,788,020 
1,180     5.000%, 8/15/19    2/14 at 100.00    AAA    1,279,285 
1,725    Howard County, Maryland, Metropolitan District Refunding Bonds, Series 2002A, 5.250%, 8/15/18    2/12 at 100.00    AAA    1,835,469 
1,190    Maryland National Capital Park Planning Commission, Prince George’s County, General Obligation    1/14 at 100.00    AAA    1,302,419 
     Bonds, Park Acquisition and Development, Series 2004EE-2, 5.000%, 1/15/17             
3,000    Montgomery County, Maryland, Consolidated General Obligation Public Improvement Bonds, Series    No Opt. Call    AAA    3,467,880 
     2005A, 5.000%, 7/01/15             
    Montgomery County, Maryland, Consolidated General Obligation Public Improvement Refunding             
    Bonds, Series 2001:             
1,750     5.250%, 10/01/13    10/11 at 101.00    AAA    1,909,075 
2,000     5.250%, 10/01/18    10/11 at 101.00    AAA    2,130,340 
2,000    Prince George’s County, Maryland, General Obligation Consolidated Public Improvement Bonds,    9/12 at 101.00    AAA    2,073,620 
     Series 2002, 4.100%, 9/15/19             
5,770    Prince George’s County, Maryland, General Obligation Consolidated Public Improvement Bonds,    10/13 at 100.00    AAA    6,246,197 
     Series 2003A, 5.000%, 10/01/18             
    Washington Suburban Sanitary District, Montgomery and Prince George’s Counties, Maryland,             
    Sewerage Disposal Bonds, Series 2005:             
2,000     5.000%, 6/01/16    6/15 at 100.00    AAA    2,282,820 
1,235     5.000%, 6/01/23    6/15 at 100.00    AAA    1,308,198 
1,235     5.000%, 6/01/24    6/15 at 100.00    AAA    1,299,936 
1,235     5.000%, 6/01/25    6/15 at 100.00    AAA    1,292,279 
40,905    Total Tax Obligation/General            44,340,706 
    Tax Obligation/Limited – 15.4% (10.1% of Total Investments)             
300    Baltimore, Maryland, Special Obligation Bonds, North Locust Point Project, Series 2005,    9/15 at 101.00    N/R    180,477 
     5.500%, 9/01/34             
340    Frederick County, Maryland, Lake Linganore Village Community Development Special Obligation    7/10 at 102.00    BBB+    269,610 
     Bonds, Series 2001A, 5.700%, 7/01/29 – RAAI Insured             
900    Hyattsville, Maryland, Special Obligation Bonds, University Town Center Project, Series 2004,    7/14 at 102.00    N/R    574,533 
     5.750%, 7/01/34             
    Maryland Department of Transportation, Certificates of Participation, Mass Transit             
    Administration Project, Series 2000:             
875     5.500%, 10/15/19 (Alternative Minimum Tax)    10/10 at 101.00    AA+    863,249 
925     5.500%, 10/15/20 (Alternative Minimum Tax)    10/10 at 101.00    AA+    922,493 
4,250    Maryland Department of Transportation, Consolidated Transportation Revenue Bonds, Series 2002,    No Opt. Call    AAA    5,000,464 
     5.500%, 2/01/16             
1,875    Maryland Economic Development Corporation, Lease Revenue Bonds, Department of Transportation    6/12 at 100.50    AA+    2,023,200 
     Headquarters Building, Series 2002, 5.375%, 6/01/19             
1,700    Maryland Stadium Authority, Lease Revenue Bonds, Montgomery County Conference Center    6/13 at 100.00    AA+    1,738,794 
     Facilities, Series 2003, 5.000%, 6/15/24             
1,000    Montgomery County, Maryland, Lease Revenue Bonds, Metrorail Garage, Series 2002,    6/12 at 100.00    AA    1,038,970 
     5.000%, 6/01/21             
675    Montgomery County, Maryland, Special Obligation Bonds, West Germantown Development District,    7/12 at 101.00    A3    533,358 
     Senior Series 2002A, 5.500%, 7/01/27 – RAAI Insured             
635    New Baltimore City Board of School Commissioners, Maryland, School System Revenue Bonds,    11/10 at 100.00    AA+    668,750 
     Series 2000, 5.125%, 11/01/15             
    Puerto Rico Highway and Transportation Authority, Highway Revenue Bonds, Series 2007N:             
1,000     5.500%, 7/01/29 – AMBAC Insured    No Opt. Call    A    887,930 
2,500     5.250%, 7/01/31 – AMBAC Insured    No Opt. Call    A    2,118,550 
1,000     5.250%, 7/01/33 – MBIA Insured    No Opt. Call    AA–    840,640 
2,100    Puerto Rico Municipal Finance Agency, Series 2002A, 5.250%, 8/01/21 – FSA Insured    8/12 at 100.00    AAA    2,074,653 
1,500    Puerto Rico, Highway Revenue Bonds, Highway and Transportation Authority, Series 2003AA,    No Opt. Call    AA–    1,426,050 
     5.500%, 7/01/19 – MBIA Insured             
21,575    Total Tax Obligation/Limited            21,161,721 
    Transportation – 4.7% (3.1% of Total Investments)             
1,060    Baltimore, Maryland, Revenue Refunding Bonds, Parking System Facilities, Series 1998A, 5.250%,    No Opt. Call    AA–    1,175,614 
     7/01/17 – FGIC Insured             
4,335    Maryland Transportation Authority, Revenue Bonds, Transportation Facilities Projects, Series    7/17 at 100.00    AAA    4,435,702 
     2007, 5.000%, 7/01/30 – FSA Insured (UB)             
2,075    Puerto Rico Ports Authority, Special Facilities Revenue Bonds, American Airlines Inc., Series    6/09 at 100.00    CCC+    925,367 
     1996A, 6.250%, 6/01/26 (Alternative Minimum Tax)             
7,470    Total Transportation            6,536,683 
    U.S. Guaranteed – 23.2% (15.3% of Total Investments) (4)             
2,000    Baltimore, Maryland, Revenue Refunding Bonds, Water Projects, Series 1998A, 5.000%, 7/01/28 –    No Opt. Call    AA (4)    2,090,120 
     FGIC Insured (ETM)             
2,000    Baltimore, Maryland, Revenue Refunding Bonds, Water System Projects, Series 1994A, 5.000%,    No Opt. Call    AA (4)    2,142,700 
     7/01/24 – FGIC Insured (ETM)             
1,245    Baltimore, Maryland, Wastewater Project Revenue Bonds, Series 2006C, 5.000%, 7/01/31    7/16 at 100.00    AA (4)    1,450,350 
     (Pre-refunded 7/01/16) – AMBAC Insured             
    Frederick County, Maryland, Educational Facilities Revenue Bonds, Mount St. Mary’s College,             
    Series 2001A:             
200     5.750%, 9/01/25 (Pre-refunded 3/01/10)    3/10 at 101.00    BBB– (4)    211,974 
200     5.800%, 9/01/30 (Pre-refunded 3/01/10)    3/10 at 101.00    BBB– (4)    212,074 
3,000    Frederick County, Maryland, General Obligation Public Facilities Bonds, Series 1999, 5.250%,    7/09 at 101.00    AAA    3,079,380 
     7/01/18 (Pre-refunded 7/01/09)             
275    Frederick County, Maryland, Lake Linganore Village Community Development Special Obligation    7/10 at 102.00    BBB+ (4)    297,894 
     Bonds, Series 2001A, 5.700%, 7/01/29 (Pre-refunded 7/01/10) – RAAI Insured             
1,860    Gaithersburg, Maryland, Hospital Facilities Revenue Refunding and Improvement Bonds, Shady    No Opt. Call    AAA    2,043,954 
     Grove Adventist Hospital, Series 1995, 6.500%, 9/01/12 – FSA Insured (ETM)             
575    Howard County, Maryland, Consolidated Public Improvement Refunding Bonds, Series 2002A,    2/12 at 100.00    AAA    637,687 
     5.250%, 8/15/18 (Pre-refunded 2/15/12)             
    Maryland Economic Development Corporation, Health and Mental Hygiene Providers Revenue Bonds,             
    Series 1996A:             
870     7.625%, 4/01/21 (Pre-refunded 4/01/11)    4/11 at 102.00    N/R (4)    988,303 
660     7.625%, 4/01/21 (Pre-refunded 4/01/11)    4/11 at 102.00    N/R (4)    749,747 
2,250    Maryland Economic Development Corporation, Student Housing Revenue Bonds, Collegiate Housing    6/09 at 102.00    Baa2 (4)    2,325,330 
     Foundation – College Park, Series 1999A, 5.750%, 6/01/24 (Pre-refunded 6/01/09)             
3,200    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Helix Health,    No Opt. Call    A (4)    3,433,504 
     Series 1997, 5.000%, 7/01/27 – AMBAC Insured (ETM)             
3,125    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, Howard County    5/09 at 100.00    AAA    3,213,000 
     General Hospital, Series 1993, 5.500%, 7/01/25 (ETM)             
2,040    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, LifeBridge Health    7/14 at 100.00    A2 (4)    2,322,152 
     System, Series 2004A, 5.125%, 7/01/34 (Pre-refunded 7/01/14)             
1,500    Maryland Health and Higher Educational Facilities Authority, Revenue Bonds, University of    7/12 at 100.00    A (4)    1,704,345 
     Maryland Medical System, Series 2002, 6.000%, 7/01/22 (Pre-refunded 7/01/12)             
195    Maryland Transportation Authority, Revenue Refunding Bonds, Transportation Facilities    No Opt. Call    AAA    229,045 
     Projects, First Series 1978, 6.800%, 7/01/16 (ETM)             
1,000    Puerto Rico Infrastructure Financing Authority, Special Obligation Bonds, Series 2000A,    10/10 at 101.00    AAA    1,065,800 
     5.500%, 10/01/20             
1,000    Puerto Rico, Highway Revenue Bonds, Highway and Transportation Authority, Series 1996Y,    7/16 at 100.00    Aaa    1,205,700 
     5.500%, 7/01/36 (Pre-refunded 7/01/16)             
385    Puerto Rico, The Children’s Trust Fund, Tobacco Settlement Asset-Backed Bonds, Series 2000,    7/10 at 100.00    AAA    402,648 
     5.750%, 7/01/20 (Pre-refunded 7/01/10)             
2,000    Virgin Islands Public Finance Authority, Gross Receipts Taxes Loan Note, Series 1999A, 6.500%,    10/10 at 101.00    BBB+ (4)    2,191,040 
     10/01/24 (Pre-refunded 10/01/10)             
29,580    Total U.S. Guaranteed            31,996,747 
    Utilities – 3.7% (2.5% of Total Investments)             
2,500    Maryland Energy Financing Administration, Revenue Bonds, AES Warrior Run Project, Series 1995,    5/09 at 100.00    N/R    1,883,800 
     7.400%, 9/01/19 (Alternative Minimum Tax)             
3,500    Puerto Rico Electric Power Authority, Power Revenue Bonds, Series 2004PP, 5.000%, 7/01/22 –    7/14 at 100.00    AA–    3,245,130 
     FGIC Insured             
6,000    Total Utilities            5,128,930 
    Water and Sewer – 3.6% (2.4% of Total Investments)             
1,045    Baltimore, Maryland, Revenue Refunding Bonds, Water System Projects, Series 1994A, 5.000%,    No Opt. Call    AA    1,089,998 
     7/01/24 – FGIC Insured             
1,655    Baltimore, Maryland, Wastewater Project Revenue Bonds, Series 2006C, 5.000%, 7/01/31 –    7/16 at 100.00    AA    1,674,165 
     AMBAC Insured             
1,260    Baltimore, Maryland, Wastewater Project Revenue Bonds, Series 2007D, 5.000%, 7/01/32 –    7/17 at 100.00    AA    1,242,839 
     AMBAC Insured             
860    Maryland Water Quality Financing Administration, Revolving Loan Fund Revenue Bonds, Series    No Opt. Call    AAA    995,725 
     2005A, 5.000%, 9/01/15             
4,820    Total Water and Sewer            5,002,727 
$    216,960    Total Investments (cost $218,892,671) – 151.9%            209,211,805 
    Floating Rate Obligations – (1.6)%            (2,167,000)
    Other Assets Less Liabilities – 6.8%            9,243,816 
    Preferred Shares, at Liquidation Value – (57.1)% (5)            (78,600,000)
    Net Assets Applicable to Common Shares – 100%          $  137,688,621 

Fair Value Measurements

During the current fiscal period, the Fund adopted the provisions of Statement of Financial Accounting Standards No. 157 (SFAS No. 157) “Fair Value Measurements.” SFAS No. 157 defines fair value, establishes a framework for measuring fair value in generally accepted accounting principles, and expands disclosure about fair value measurements. In determining the value of the Fund’s investments various inputs are used. These inputs are summarized in the three broad levels listed below:

Level 1 – Quoted prices in active markets for identical securities. 
Level 2 – Other significant observable inputs (including quoted prices for similar securities, interest rates, 
              prepayment speeds, credit risk, etc.). 
Level 3 – Significant unobservable inputs (including management’s assumptions in determining the fair 
              value of investments). 

The inputs or methodology used for valuing securities are not an indication of the risk associated with investing in those securities.

The following is a summary of the Fund’s fair value measurements as of February 28, 2009:

    Level 1    Level 2    Level 3    Total 
Investments    $ —    $209,211,805    $ —    $209,211,805 

Income Tax Information

The following information is presented on an income tax basis. Differences between amounts for financial statement and federal income tax purposes are primarily due to timing differences in recognizing taxable market discount, timing differences in recognizing certain gains and losses on investment transactions and the treatment of investments in inverse floating rate transactions subject to Statement of Financial Accounting Standards No. 140 (SFAS No. 140), if any. To the extent that differences arise that are permanent in nature, such amounts are reclassified within the capital accounts on the Statement of Assets and Liabilities presented in the annual report, based on their federal tax basis treatment; temporary differences do not require reclassification.Temporary and permanent differences do not impact the net asset value of the Fund. At February 28, 2009, the cost of investments was $216,773,302.

Gross unrealized appreciation and gross unrealized depreciation of investments at February 28, 2009, were as follows:

Gross unrealized:     
  Appreciation    $  7,881,938 
  Depreciation    (17,610,433)
Net unrealized appreciation (depreciation) of investments    $ (9,728,495)

(1)    All percentages shown in the Portfolio of Investments are based on net assets applicable to Common shares 
    unless otherwise noted. 
(2)    Optional Call Provisions: Dates (month and year) and prices of the earliest optional call or redemption. There 
    may be other call provisions at varying prices at later dates. Certain mortgage-backed securities may be 
    subject to periodic principal paydowns. 
(3)    Ratings: Using the higher of Standard & Poor’s Group (“Standard & Poor’s”) or Moody’s Investor Service, 
    Inc. (“Moody’s”) rating. Ratings below BBB by Standard & Poor’s or Baa by Moody’s are considered to be 
    below investment grade. 
    The Portfolio of Investments may reflect the ratings on certain bonds insured by ACA, AGC, AMBAC, CIFG, 
    FGIC, FSA, MBIA, RAAI and SYNCORA as of February 28, 2009. Subsequent to February 28, 2009, and 
    during the period this Portfolio of Investments was prepared, there may have been reductions to the 
    ratings of certain bonds resulting from changes to the ratings of the underlying insurers both during the 
    period and after period end. Such reductions would likely reduce the effective rating of many of the bonds 
    insured by that insurer or insurers presented at period end. 
(4)    Backed by an escrow or trust containing sufficient U.S. Government or U.S. Government agency securities 
    which ensure the timely payment of principal and interest. Such investments are normally considered to be 
    equivalent to AAA rated securities. 
(5)    Preferred Shares, at Liquidation Value as a percentage of Total Investments is 37.6%. 
N/R    Not rated. 
(ETM)    Escrowed to maturity. 
(IF)    Inverse floating rate investment. 
(UB)    Underlying bond of an inverse floating rate trust reflected as a financing transaction pursuant to the 
    provisions of SFAS No. 140. 

Item 2. Controls and Procedures.

  1. The registrant's principal executive and principal financial officers, or persons performing similar functions, have concluded that the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR 270.30a-3(c))) are effective, as of a date within 90 days of the filing date of this report that includes the disclosure required by this paragraph, based on their evaluation of the controls and procedures required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and Rule 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934 (17 CFR 240.13a-15(b) or 240.15d-15(b)).
  2. There were no changes in the registrant's internal control over financial reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR 270.30a-3(d)) that occurred during the registrant's last fiscal quarter that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting.

Item 3. Exhibits.

File as exhibits as part of this Form a separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2(a) under the 1940 Act (17 CFR 270.30a-2(a)), exactly as set forth below: See EX-99 CERT attached hereto.


SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)         Nuveen Maryland Premium Income Municipal Fund         

By (Signature and Title)          /s/ Kevin J. McCarthy                    
                                                  Kevin J. McCarthy
                                                  Vice President and Secretary

Date         April 29, 2009        

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed below by the following persons on behalf of the registrant and in the capacities and on the dates indicated.

By (Signature and Title)         /s/ Gifford R. Zimmerman                    
                                                 Gifford R. Zimmerman
                                                 Chief Administrative Officer (principal executive officer) 

Date         April 29, 2009        

By (Signature and Title)         /s/ Stephen D. Foy                              
                                                 Stephen D. Foy
                                                 Vice President and Controller (principal financial officer) 

Date        April 29, 2009