NUVEEN TAX EXEMPT UNIT TRUST SERIES 715
497, 1994-02-07
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<PAGE>
NUVEEN  Tax-Exempt Unit Trusts
     NUVEEN
     MARYLAND
     TRUST 291
              (MARYLAND TRADITIONAL TRUST 291)
 
            Estimated Current Return
            First
            Year: 4.79% to 4.93%
            Subsequent
            Years: 4.79% to 4.94%
            as of 02/03/94
 
            Estimated Long Term Return
            4.82% to 4.97%
             35,000 units in a
             diversified $3,500,000
             portfolio of tax-exempt
             bonds
                  Cusip:
                  67101L 431 Monthly Payment Option
                  67101L 449 Quarterly Payment Option
                  67101L 456 Semi-Annual Payment Option
 
                  Registered in Maryland
                    John Nuveen & Co. Incorporated
                    Investment Bankers
 
<TABLE>
<S>                           <C>
Chicago:                      Atlanta
333 W. Wacker Dr.             Austin
Chicago, Illinois 60606       Boca Raton
Telephone: 312.917.7700       Boston
                              Columbus
New York:                     Dallas/Ft. Worth
Swiss Bank Tower              Irvine
10 East 50th Street           Los Angeles
New York, New York 10022      Philadelphia
Telephone: 212.207.2000       Phoenix
                              San Francisco
                              Seattle
                              Tampa
                              Washington, D.C.
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
 
NUVEEN TAX-EXEMPT UNIT TRUST--MARYLAND TRADITIONAL TRUST 291
SCHEDULE OF INVESTMENTS
DATE OF DEPOSIT FEBRUARY 4, 1994
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                             Ratings
                                                                                    Optional         -----------------------
  Aggregate            Name of Issuer and Title of Issue Represented               Redemption        Standard
  Principal               by Sponsor's Contracts to Purchase Bonds                 Provisions        & Poor's       Moody's
  <C>       <C> <S>                                                              <C>                 <C>           <C>
  --------------------------------------------------------------------------------------------------------------------------
  $  525,000    Washington Metropolitan Area Transit Authority (District of        2004 at 102          AAA           Aaa
                  Columbia), Gross Revenue Transit Refunding Bonds, Series
                  1993, 5.25% Due 7/1/14. (FGIC Insured.)
     105,000    Maryland Health and Higher Educational Facilities Authority,       No Optional          AA-           Aa
                  Revenue Bonds, The Johns Hopkins Hospital Issue, Series             Call
                  1990, 0.00% Due 7/1/13. (Original issue discount bonds
                  delivered on or about June 7, 1990 at a price of 19.13% of
                  principal amount.)
     500,000    Maryland Health and Higher Educational Facilities Authority,       2003 at 100          AAA           Aaa
                  Project and Refunding Revenue Bonds, Sinai Hospital of
                  Baltimore Issue, Series 1993, 5.25% Due 7/1/23. (Original
                  issue discount bonds delivered on or about June 29, 1993
                  at a price of 92.89% of principal amount.)(AMBAC Insured.)
     525,000    Maryland Health and Higher Educational Facilities Authority,       2003 at 102           A            A1
                  Refunding Revenue Bonds, Suburban Hospital Issue, Series
                  1993, 5.125% Due 7/1/21. (Original issue discount bonds
                  delivered on or about October 14, 1993 at a price of
                  94.689% of principal amount.)
     100,000    Maryland Transportation Authority, Transportation Facilities       No Optional          AAA           Aaa
                  Projects, Revenue Bonds, Series 1992, 0.00% Due 7/1/11.             Call
                  (Original issue discount bonds delivered on or about
                  September 9, 1992 at a price of 30.965% of principal
                  amount.)(FGIC Insured.)
     525,000    Industrial Development Authority of Prince George's County,        2003 at 102          AAA           Aaa
                  Maryland, Refunding Lease Revenue Bonds (Upper Marlboro
                  Justice Center Project), Series 1993, 5.25% Due 6/30/19.
                  (Original issue discount bonds delivered on or about
                  February 25, 1993 at a price of 91.667% of principal
                  amount.)(MBIA Insured.)
     120,000    Prince George's County, Maryland, General Obligation               2004 at 102          AAA           Aaa
                  Consolidated Public Improvement Bonds, Series 1994, 5.00%
                  Due 3/15/12. (MBIA Insured.)
     500,000    Prince George's County, Maryland, Pollution Control Revenue        2002 at 102          A+            A1
                  Refunding Bonds (Potomac Electric Project), 1992 Series,
                  6.00% Due 9/1/22.
     120,000    Washington Suburban Sanitary District, Maryland, General           2004 at 102          AA            Aa1
                  Construction Refunding Bonds of 1994, 5.00% Due 6/1/15.
                  (General Obligation Bonds.) (When issued.)
      35,000    Commonwealth of Puerto Rico, Public Improvement Refunding          2003 at 101          AAA           Aaa
                  Bonds, Series 1993 (General Obligation Bonds.), 5.25% Due            1/2
                  7/1/18. (Original issue discount bonds delivered on or
                  about July 15, 1993 at a price of 93.414% of principal
                  amount.)(MBIA Insured.)
     445,000    Commonwealth of Puerto Rico, Public Improvement Bonds of           2002 at 101          AAA           Aaa
                  1993 (General Obligation Bonds.), 5.875% Due 7/1/18.                 1/2
                  (AMBAC Insured.)
  ----------
  $3,500,000
  ----------
  ----------
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
UNIT PRICE, ESTIMATED CURRENT RETURN AND ESTIMATED LONG TERM RETURN DEPEND ON
AMOUNT PURCHASED AND PAYMENT OPTION
Sales charge/volume discount applies on all concurrent purchases of any Nuveen
trust units. Estimated Current Return equals net income divided by offering
price. Estimated Long Term Return represents an average of the yields to
maturity (or call) of the Bonds in the Trust adjusted to reflect expenses and
sales charges.
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                              Estimated Current Return (2)
          AMOUNT PURCHASED                         Public      -----------------------------------------------------------
- -------------------------------------  Sales      Offering         Monthly           Quarterly            Semi-Annual
     Units              Dollars        Charge     Price (1)        Payment            Payment               Payment
- ----------------  -------------------  ------    -----------   ---------------    ---------------    ---------------------
<S>               <C>                  <C>       <C>           <C>       <C>      <C>       <C>      <C>       <C>
50-999                 $5,000-$99,999   4.90 %   $    102.74     (4.79%)  4.79%     (4.82%)  4.82%     (4.83%)  4.84%
1,000-2,499           100,000-249,999   4.50          102.31     (4.81)   4.81      (4.84)   4.84      (4.86)   4.86
2,500-4,999           250,000-499,999   4.25          102.05     (4.82)   4.82      (4.85)   4.85      (4.87)   4.87
5,000-9,999           500,000-999,999   3.50          101.25     (4.86)   4.86      (4.89)   4.89      (4.91)   4.91
10,000 and over    1,000,000 and over   3.00          100.73     (4.88)   4.89      (4.91)   4.92      (4.93)   4.94
</TABLE>
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         Estimated Long Term Return (3)
                                                              -----------------------------------------------------
          AMOUNT PURCHASED                         Public
- -------------------------------------  Sales      Offering          Monthly         Quarterly       Semi-Annual
     Units              Dollars        Charge     Price (1)         Payment          Payment          Payment
- ----------------  -------------------  ------    -----------     -------------    -------------    -------------
<S>               <C>                  <C>       <C>         <C>                <C>              <C>
50-999                 $5,000-$99,999   4.90 %   $    102.74          4.82%            4.85%            4.87%
1,000-2,499           100,000-249,999   4.50          102.31          4.84             4.87             4.89
2,500-4,999           250,000-499,999   4.25          102.05          4.85             4.88             4.90
5,000-9,999           500,000-999,999   3.50          101.25          4.89             4.92             4.94
10,000 and over    1,000,000 and over   3.00          100.73          4.92             4.95             4.97
</TABLE>
 
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
(1) As of the business day prior to the Date of Deposit. Units are offered at
    the Public Offering Price plus accrued interest.
(2) All figures as of the business day prior to the Date of Deposit. Figures in
    brackets represent the current return. The first year's estimated current
    returns are slightly lower than those for subsequent years because a portion
    of the monies received in the first year only will be treated as a return of
    principal due to the inclusion in the portfolio of "when issued" or other
    Bonds having delivery dates after the date of settlement for a purchase made
    on the Date of Deposit.
(3) In contrast to Estimated Current Return, Estimated Long Term Return reflects
    the amortization of premium or accretion of discount, if any, on the bonds
    in the Trust's portfolio.
 
- --------------------------------------------------------------------------------
 
INTEREST DISTRIBUTIONS TO UNITHOLDERS   Unitholders may elect to have interest
distributions made on a monthly, quarterly, or semi-annual basis. Record Dates
are May 1 and November 1 for semi-annual distributions; February 1, May 1,
August 1 and November 1 for quarterly distributions; and the first of each month
for monthly distributions. Details of interest distributions per unit under the
various plans appear in the following table based upon estimated net annual
interest income at the Date of Deposit:
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                      Normal
                                                                                                  Distributions
Maryland Traditional Trust                                        1994                              per Year +
<S>                                     <C>            <C>            <C>            <C>        <C>
- ------------------------------------------------------------------------------------------------  --------------
Record Date*..........................        4/1            5/1            8/1           11/1
Distribution Date.....................       4/15           5/15           8/15          11/15
- ----------------------------------------------------------------------------------------------------------------
Monthly Distribution Plan.............  $   .2052(1)                                              $  4.9221
                                                        --------  $.4101 every month  --------
Quarterly Distribution Plan...........  $   .2052(1)   $   .4128(2)   $  1.2385      $  1.2385    $  4.9541
Semi-Annual Distribution Plan.........  $   .2052(1)   $   .4144(3)                  $  2.4865    $  4.9731
- ----------------------------------------------------------------------------------------------------------------
<FN>
  * Record Dates for semi-annual distributions are May 1 and November 1; for quarterly distributions, they are February 1, May 1,
    August 1 and November 1. Record Dates for monthly distributions are the first day of each month.
(1) The first distribution will be paid to all Unitholders, regardless of the distribution plan selected.
(2) The second distribution under the quarterly distribution plan represents a 1-month distribution; subsequent quarterly
    distributions will be regular 3-month distributions.
(3) The second distribution under the semi-annual distribution plan represents a 1-month distribution; subsequent semi-annual
    distributions will be regular 6-month distributions.
</TABLE>
 
+ Interest for Unitholders of this series began to accrue as of the Date of
Deposit. Units purchased on the Date of Deposit will have $.10 of accrued
interest that will be added to the Public Offering Price on the Settlement Date.
After provision for expenses of the Fund, the daily rate of accrual from the
Date of Deposit to the first Record Date is $.01367 per unit per day.
Consequently, on the first Record Date (04/01/94), accrued interest will total
$0.7791 per unit for the 57-day period. Because a substantial portion of this
interest will not yet be due from the issuers of the bonds in the Fund, the
first payment to all Unitholders of Record on 04/01/94 is $.2052, and the
remaining $.5739 of accrued interest will remain an asset of the Trust and be
distributed in subsequent periods as portfolio bonds mature, or are redeemed, or
sold and the accrued interest on these bonds is collected. After the first
Record Date daily rates of accrual are:
              Monthly - $0.01367              Quarterly - $0.01376
                             Semi-Annual - $0.01381
This daily rate of accrual, and the annual distributions shown above, will
remain the same as long as the portfolio size and composition remain the same.
 
- --------------------------------------------------------------------------------
 
                                                          715
<PAGE>
- -------------------------------------------------------
 
AVERAGE PORTFOLIO LIFE   The average maturity of portfolio bonds is 25.0 years.
The first bond is scheduled to mature in July, 2011, with the last bond maturity
being July, 2023.
 
- -------------------------------------------------
 
QUALITY OF PORTFOLIO AS RATED BY
STANDARD & POOR'S CORPORATION
OR MOODY'S INVESTORS SERVICES
- -------------------------------------------------
 
<TABLE>
<CAPTION>
       Rating          Percent of Portfolio
      Category              Par Value
<S>                    <C>                   <C>
- -------------------------------------------------------------
AAA                         65%
AA                           6
A1/A+                       29
                           ---
                           100%
</TABLE>
 
- -------------------------------------------------
 
CALL PROTECTION   Bonds are first subject to optional redemption by the issuers
in the years and at the prices shown under the Redemption Provisions column in
the Schedule of Investments. Unless otherwise stated, in subsequent years, bonds
are redeemable at declining prices, but not usually below par value. Some issues
or some portions of issues may also be subject to sinking fund redemption or
extraordinary redemption without premium prior to the dates shown.
 
- -------------------------------------------------
 
NO CHARGE FOR REDEMPTION   The Trustee, United States Trust Company of New York,
will redeem units at net asset value. In addition, John Nuveen & Co.
Incorporated intends to maintain a secondary market for this Nuveen Tax-Exempt
Unit Trust. Inasmuch as all securities investments are subject to market price
fluctuation, net asset value at the time of redemption could be more or less
than the initial investment.
 
- -------------------------------------------------
 
REINVESTMENT OPTIONS   Specify automatic reinvestment of trust income, with no
sales charge, to earn compounded dividends with Nuveen mutual funds.
 
- -------------------------------------------------
 
FOR A PROSPECTUS CONTAINING MORE COMPLETE INFORMATION, INCLUDING CHARGES AND
EXPENSES, ON THIS NUVEEN TAX-EXEMPT UNIT TRUST AND ANY OTHER NUVEEN FUND, CALL
YOUR BROKER . . . OR NUVEEN AT
 
                                 1-800-351-4100
 
READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR SEND MONEY.
<PAGE>
NUVEEN  Tax-Exempt Unit Trusts
     NUVEEN
     NATIONAL
     INSURED
     TRUST 264
 
            Estimated Current Return
            5.03% to 5.18%
            as of 02/03/94
 
            Estimated Long Term Return
            4.97% to 5.13%
             150,000 units in a
             diversified $15,000,000
             portfolio of tax-exempt
             bonds rated "AAA"
                  Cusip:
                  67101X 492 Monthly Payment Option
                  67101X 500 Quarterly Payment Option
                  67101X 518 Semi-Annual Payment Option
 
                  Registered in all states
                    John Nuveen & Co. Incorporated
                    Investment Bankers
 
<TABLE>
<S>                           <C>
Chicago:                      Atlanta
333 W. Wacker Dr.             Austin
Chicago, Illinois 60606       Boca Raton
Telephone: 312.917.7700       Boston
                              Columbus
New York:                     Dallas/Ft. Worth
Swiss Bank Tower              Irvine
10 East 50th Street           Los Angeles
New York, New York 10022      Philadelphia
Telephone: 212.207.2000       Phoenix
                              San Francisco
                              Seattle
                              Tampa
                              Washington, D.C.
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
 
NUVEEN TAX-EXEMPT UNIT TRUST--INSURED, NATIONAL INSURED TRUST 264
SCHEDULE OF INVESTMENTS
DATE OF DEPOSIT FEBRUARY 4, 1994
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                             Ratings
                                                                                    Optional         -----------------------
  Aggregate            Name of Issuer and Title of Issue Represented               Redemption        Standard
  Principal               by Sponsor's Contracts to Purchase Bonds                 Provisions        & Poor's       Moody's
  <C>       <C> <S>                                                              <C>                 <C>           <C>
  --------------------------------------------------------------------------------------------------------------------------
  $1,500,000    The Regents of the University of California, University of         2003 at 102          AAA           Aaa
                  California Housing System Revenue Bonds, Series A, 5.50%
                  Due 11/1/18.
   1,250,000    District of Columbia, University Revenue Bonds (The                2003 at 102          AAA           Aaa
                  Georgetown University Issue), Series 1993, 5.375% Due
                  4/1/23.
   1,500,000    The Illinois State Toll Highway Authority, Toll Highway            2003 at 102          AAA           Aaa
                  Priority Revenue Bonds, 1992 Series A, 5.75% Due 1/1/17.
                  (Original issue discount bonds delivered on or about
                  October 14, 1992 at a price of 91.469% of principal
                  amount.)
     750,000    Illinois Health Facilities Authority, Revenue Bonds, Series        2003 at 102          AAA           Aaa
                  1993 (Rush-Presbyterian-St. Luke's Medical Center
                  Obligated Group), 5.50% Due 11/15/25.
     325,000    Metropolitan Pier and Exposition Authority (Illinois),             2003 at 102          AAA           Aaa
                  McCormick Place Expansion Project Bonds, Series 1992A,
                  6.50% Due 6/15/27.
     250,000    Illinois Educational Facilities Authority, Revenue Bonds,          2003 at 102          AAA           Aaa
                  Illinois Wesleyan University, Series 1993, 5.625% Due
                  9/1/18.
     650,000    City of Cedar Rapids, Iowa, Pollution Control Revenue              2003 at 102          AAA           Aaa
                  Refunding Bonds (Iowa Electric Light and Power Company
                  Project), Series 1993, 5.50% Due 11/1/23.
     825,000    Okemos Public Schools, County of Ingham, State of Michigan,        No Optional          AAA           Aaa
                  1993 Refunding Bonds, 0.00% Due 5/1/20. (Original issue             Call
                  discount bonds delivered on or about February 2, 1993 at a
                  price of 17.271% of principal amount.)(General Obligation
                  Bonds.)
   1,500,000    New York City (New York), Municipal Water Finance Authority,       2002 at 101          AAA           Aaa
                  Water and Sewer System Revenue Bonds, Fiscal 1993 Series             1/2
                  A, 6.00% Due 6/15/17.
   1,500,000    Dauphin County General Authority, Hospital Revenue Bonds,          2003 at 102          AAA           Aaa
                  HAPSCO Group, Inc. Tax-Exempt Loan Program (The Western
                  Pennsylvania Hospital Project), Fixed Rate Bonds, 1993
                  Series A-1, 5.50% Due 7/1/23.
   1,500,000    South Carolina Public Service Authority Revenue Bonds, 1993        2003 at 102          AAA           Aaa
                  Refunding Series A (Santee Cooper), 5.50% Due 7/1/21.
   1,200,000    Brazos River Authority (Texas), Collateralized Revenue             2003 at 102          AAA           Aaa
                  Refunding Bonds (Houston Lighting & Power Company
                  Project), Series 1993, 5.60% Due 12/1/17.
   1,000,000    Washington Public Power Supply System, Nuclear Project No. 1       2003 at 102          AAA           Aaa
                  Refunding Revenue Bonds, Series 1993A, 5.70% Due 7/1/17.
   1,250,000    Washington Public Power Supply System, Nuclear Project No. 3       2003 at 102          AAA           Aaa
                  Refunding Revenue Bonds, Series 1993B, 5.60% Due 7/1/15.
  ----------
  $15,000,000
  ----------
  ----------
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
UNIT PRICE, ESTIMATED CURRENT RETURN AND ESTIMATED LONG TERM RETURN DEPEND ON
AMOUNT PURCHASED AND PAYMENT OPTION
Sales charge/volume discount applies on all concurrent purchases of any Nuveen
trust units. Estimated Current Return equals net income divided by offering
price. Estimated Long Term Return represents an average of the yields to
maturity (or call) of the Bonds in the Trust adjusted to reflect expenses and
sales charges.
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                          Estimated Current Return (2)
                                                              -----------------------------------------------------
          AMOUNT PURCHASED                         Public
- -------------------------------------  Sales      Offering          Monthly         Quarterly       Semi-Annual
     Units              Dollars        Charge     Price (1)         Payment          Payment          Payment
- ----------------  -------------------  ------    -----------     -------------    -------------    -------------
<S>               <C>                  <C>       <C>         <C>                <C>              <C>
50-999                 $5,000-$99,999   4.90 %   $    102.68          5.03%            5.06%            5.08%
1,000-2,499           100,000-249,999   4.50          102.25          5.05             5.08             5.10
2,500-4,999           250,000-499,999   4.25          101.98          5.06             5.09             5.11
5,000-9,999           500,000-999,999   3.50          101.19          5.10             5.13             5.15
10,000 and over    1,000,000 and over   3.00          100.67          5.13             5.16             5.18
</TABLE>
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         Estimated Long Term Return (3)
                                                              -----------------------------------------------------
          AMOUNT PURCHASED                         Public
- -------------------------------------  Sales      Offering          Monthly         Quarterly       Semi-Annual
     Units              Dollars        Charge     Price (1)         Payment          Payment          Payment
- ----------------  -------------------  ------    -----------     -------------    -------------    -------------
<S>               <C>                  <C>       <C>         <C>                <C>              <C>
50-999                 $5,000-$99,999   4.90 %   $    102.68          4.97%            5.01%            5.03%
1,000-2,499           100,000-249,999   4.50          102.25          5.00             5.03             5.05
2,500-4,999           250,000-499,999   4.25          101.98          5.01             5.04             5.06
5,000-9,999           500,000-999,999   3.50          101.19          5.05             5.09             5.11
10,000 and over    1,000,000 and over   3.00          100.67          5.07             5.11             5.13
</TABLE>
 
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
(1) As of the business day prior to the Date of Deposit. Units are offered at
    the Public Offering Price plus accrued interest.
(2) All figures as of the business day prior to Date of Deposit. The estimated
    current return for purchases made on such date will be as shown, as long as
    the portfolio size and composition remain the same.
(3) In contrast to Estimated Current Return, Estimated Long Term Return reflects
    the amortization of premium or accretion of discount, if any, on the bonds
    in the Trust's portfolio.
 
- --------------------------------------------------------------------------------
 
REINVESTMENT OPTIONS   Specify automatic reinvestment of trust income, with no
sales charge, to earn compounded dividends with Nuveen mutual funds.
- --------------------------------------------------------------------------------
 
INTEREST DISTRIBUTIONS TO UNITHOLDERS   Unitholders may elect to have interest
distributions made on a monthly, quarterly, or semi-annual basis. Record Dates
are May 1 and November 1 for semi-annual distributions; February 1, May 1,
August 1 and November 1 for quarterly distributions; and the first of each month
for monthly distributions. Details of interest distributions per unit under the
various plans appear in the following table based upon estimated net annual
interest income at the Date of Deposit:
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                          Normal
                                                                                                      Distributions
National Insured Trust                                   1994                          1995             per Year +
<S>                                     <C>            <C>            <C>            <C>            <C>
- ----------------------------------------------------------------------------------------------------  --------------
Record Date*..........................        5/1            8/1           11/1            2/1
Distribution Date.....................       5/15           8/15          11/15           2/15
- --------------------------------------------------------------------------------------------------------------------
Monthly Distribution Plan.............  $   .4301(1)                                                  $  5.1623
                                                          --------  $.4301 every month  --------
Quarterly Distribution Plan...........  $   .4301(1)   $  1.2985(2)   $  1.2985      $  1.2985        $  5.1943
Semi-Annual Distribution Plan.........  $   .4301(1)                  $  2.6066(3)                    $  5.2133
- --------------------------------------------------------------------------------------------------------------------
<FN>
  * Record Dates for semi-annual distributions are May 1 and November 1; for quarterly distributions, they are February 1, May 1,
    August 1 and November 1. Record Dates for monthly distributions are the first day of each month.
(1) The first distribution will be paid to all Unitholders, regardless of the distribution plan selected.
(2) Regular 3-month distribution.
(3) Regular 6-month distribution.
</TABLE>
 
+ Interest for Unitholders of this series began to accrue as of the Date of
Deposit. Units purchased on the Date of Deposit will have $.10 of accrued
interest that will be added to the Public Offering Price on the Settlement Date.
After provision for expenses of the Fund, the daily rate of accrual from the
Date of Deposit to the first Record Date is $.01434 per unit per day.
Consequently, on the first Record Date (05/01/94), accrued interest will total
$1.2475 per unit for the 87-day period. Because a substantial portion of this
interest will not yet be due from the issuers of the bonds in the Fund, the
first payment to all Unitholders of Record on 05/01/94 is $.4301, and the
remaining $.8174 of accrued interest will remain an asset of the Trust and be
distributed in subsequent periods as portfolio bonds mature, or are redeemed, or
sold and the accrued interest on these bonds is collected. After the first
Record Date daily rates of accrual are:
              Monthly - $0.01434              Quarterly - $0.01443
                             Semi-Annual - $0.01448
This daily rate of accrual, and the annual distributions shown above, will
remain the same as long as the portfolio size and composition remain the same.
 
- --------------------------------------------------------------------------------
<PAGE>
- -------------------------------------------------
 
DIVERSIFICATION OF PORTFOLIO INCOME
 
There are 14 Tax-exempt bond issues in this trust; this diversified portfolio
yields current income from issuers in 8 states and the District of Columbia.
- -------------------------------------------------
<TABLE>
<CAPTION>
                   Percent
                   of Total
                   Income
<S>                    <C>        <C>
- ------------------------
                                  %
California                  10.3
Washington D.C.              8.4
Iowa                         4.5
Illinois                    20.6
New York                    11.3
 
<CAPTION>
                   Percent
                   of Total
                   Income
- ------------------------
<S>                    <C>        <C>
                                  %
Pennsylvania                10.3
South Carolina              10.3
Texas                        8.4
Washington                  15.9
</TABLE>
 
- -------------------------------------------------
 
AVERAGE PORTFOLIO LIFE   The average maturity of portfolio bonds is 25.9 years.
The first bond is scheduled to mature in July, 2015, with the last bond maturity
being June, 2027.
 
- -------------------------------------------------
 
BONDS INSURED BY MBIA   Each bond in this Nuveen Insured series has been
insured* by the Municipal Bond Investors Assurance Corporation, which guarantees
timely payments of principal and interest. Premium payments have been fully paid
by the Date of Deposit.
 
- -------------------------------------------------
 
CALL PROTECTION   Bonds are first subject to optional redemption by the issuers
in the years and at the prices shown under the Redemption Provisions column in
the Schedule of Investments. Unless otherwise stated, in subsequent years, bonds
are redeemable at declining prices, but not usually below par value. Some issues
or some portions of issues may also be subject to sinking fund redemption or
extraordinary redemption without premium prior to the dates shown.
 
- -------------------------------------------------
 
* Insurance relates specifically to the bonds and not to the units or to the
  market value of units. Terms of the insurance are more fully described in the
  prospectus. No representation is made as to the insurer's ability to meet its
  commitments. See Section 5 of the prospectus for details.
 
- -------------------------------------------------------
 
FOR A PROSPECTUS CONTAINING MORE COMPLETE INFORMATION, INCLUDING CHARGES AND
EXPENSES, ON THIS NUVEEN TAX-EXEMPT UNIT TRUST AND ANY OTHER NUVEEN FUND, CALL
YOUR BROKER . . . OR NUVEEN AT
 
                                 1-800-351-4100
 
READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR SEND MONEY.
 
715
<PAGE>
NUVEEN  Tax-Exempt Unit Trusts
     NUVEEN
     ARIZONA
     INSURED
     TRUST 31
 
            Estimated Current Return
            First
            Year: 4.69% to 4.84%
            Subsequent
            Years: 4.70% to 4.84%
            as of 02/03/94
 
            Estimated Long Term Return
            4.76% to 4.90%
             35,000 units in a
             diversified $3,500,000
             portfolio of tax-exempt
             bonds rated "AAA"
                  Cusip:
                  67101J 220 Monthly Payment Option
                  67101J 238 Quarterly Payment Option
                  67101J 246 Semi-Annual Payment Option
 
                  Registered in Arizona
                    John Nuveen & Co. Incorporated
                    Investment Bankers
 
<TABLE>
<S>                           <C>
Chicago:                      Atlanta
333 W. Wacker Dr.             Austin
Chicago, Illinois 60606       Boca Raton
Telephone: 312.917.7700       Boston
                              Columbus
New York:                     Dallas/Ft. Worth
Swiss Bank Tower              Irvine
10 East 50th Street           Los Angeles
New York, New York 10022      Philadelphia
Telephone: 212.207.2000       Phoenix
                              San Francisco
                              Seattle
                              Tampa
                              Washington, D.C.
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
 
NUVEEN TAX-EXEMPT UNIT TRUST--INSURED, ARIZONA INSURED TRUST 31
SCHEDULE OF INVESTMENTS
DATE OF DEPOSIT FEBRUARY 4, 1994
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                             Ratings
                                                                                    Optional         -----------------------
  Aggregate            Name of Issuer and Title of Issue Represented               Redemption        Standard
  Principal               by Sponsor's Contracts to Purchase Bonds                 Provisions        & Poor's       Moody's
  <C>       <C> <S>                                                              <C>                 <C>           <C>
  --------------------------------------------------------------------------------------------------------------------------
  $  525,000    The Industrial Development Authority of the County of              2003 at 102          AAA           Aaa
                  Maricopa (Arizona), Insured Health Facility Revenue Bonds
                  (Catholic Healthcare West), 1993 Series A, 5.625% Due
                  7/1/23.
     525,000    Peoria Municipal Development Authority, Inc. (Arizona),            2003 at 101          AAA           Aaa
                  Municipal Facilities Revenue Bonds, Series 1993, 5.20% Due
                  7/1/13.
     525,000    City of Phoenix Civic Improvement Corporation (Arizona),           2004 at 102          AAA           Aaa
                  Wastewater System Lease Revenue Refunding Bonds, Series
                  1993, 5.00% Due 7/1/18.
     150,000    City of Phoenix, Arizona, Junior Lien Street and Highway           No Optional          AAA           Aaa
                  User, Revenue Refunding Bonds, Series 1992A, 0.00% Due              Call
                  7/1/12. (Original issue discount bonds delivered on or
                  about January 6, 1993 at a price of 28.482% of principal
                  amount.)
     225,000    Pima County, Arizona, Sewer Revenue Refunding Bonds, Series        2004 at 102          AAA           Aaa
                  1994A, 5.00% Due 7/1/10. (When issued.)
     525,000    Salt River Project Agricultural Improvement and Power              2003 at 102          AAA           Aaa
                  District, Arizona, Salt River Project Electric System
                  Refunding Revenue Bonds, 1993 Series B, 5.25% Due 1/1/19.
     525,000    University Medical Center Corporation (Tucson, Arizona),           2003 at 102          AAA           Aaa
                  Hospital Revenue Refunding Bonds, Series 1993, 5.00% Due
                  7/1/21. (Original issue discount bonds delivered on or
                  about June 8, 1993 at a price of 90.122% of principal
                  amount.)
     500,000    Commonwealth of Puerto Rico, Public Improvement Refunding          2003 at 101          AAA           Aaa
                  Bonds, Series 1993 (General Obligation Bonds.), 5.25% Due            1/2
                  7/1/18. (Original issue discount bonds delivered on or
                  about July 15, 1993 at a price of 93.414% of principal
                  amount.)
  ----------
  $3,500,000
  ----------
  ----------
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
UNIT PRICE, ESTIMATED CURRENT RETURN AND ESTIMATED LONG TERM RETURN DEPEND ON
AMOUNT PURCHASED AND PAYMENT OPTION
Sales charge/volume discount applies on all concurrent purchases of any Nuveen
trust units. Estimated Current Return equals net income divided by offering
price. Estimated Long Term Return represents an average of the yields to
maturity (or call) of the Bonds in the Trust adjusted to reflect expenses and
sales charges.
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                              Estimated Current Return (2)
          AMOUNT PURCHASED                         Public      -----------------------------------------------------------
- -------------------------------------  Sales      Offering         Monthly           Quarterly            Semi-Annual
     Units              Dollars        Charge     Price (1)        Payment            Payment               Payment
- ----------------  -------------------  ------    -----------   ---------------    ---------------    ---------------------
<S>               <C>                  <C>       <C>           <C>       <C>      <C>       <C>      <C>       <C>
50-999                 $5,000-$99,999   4.90 %   $    102.29     (4.69%)  4.70%     (4.72%)  4.73%     (4.74%)  4.75%
1,000-2,499           100,000-249,999   4.50          101.86     (4.71)   4.72      (4.74)   4.75      (4.76)   4.77
2,500-4,999           250,000-499,999   4.25          101.60     (4.72)   4.73      (4.76)   4.76      (4.77)   4.78
5,000-9,999           500,000-999,999   3.50          100.81     (4.76)   4.77      (4.79)   4.80      (4.81)   4.82
10,000 and over    1,000,000 and over   3.00          100.29     (4.79)   4.79      (4.82)   4.83      (4.84)   4.84
</TABLE>
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         Estimated Long Term Return (3)
                                                              -----------------------------------------------------
          AMOUNT PURCHASED                         Public
- -------------------------------------  Sales      Offering          Monthly         Quarterly       Semi-Annual
     Units              Dollars        Charge     Price (1)         Payment          Payment          Payment
- ----------------  -------------------  ------    -----------     -------------    -------------    -------------
<S>               <C>                  <C>       <C>         <C>                <C>              <C>
50-999                 $5,000-$99,999   4.90 %   $    102.29          4.76%            4.78%            4.80%
1,000-2,499           100,000-249,999   4.50          101.86          4.78             4.80             4.82
2,500-4,999           250,000-499,999   4.25          101.60          4.79             4.81             4.83
5,000-9,999           500,000-999,999   3.50          100.81          4.83             4.85             4.87
10,000 and over    1,000,000 and over   3.00          100.29          4.85             4.88             4.90
</TABLE>
 
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
(1) As of the business day prior to the Date of Deposit. Units are offered at
    the Public Offering Price plus accrued interest.
(2) All figures as of the business day prior to the Date of Deposit. Figures in
    brackets represent the current return. The first year's estimated current
    returns are slightly lower than those for subsequent years because a portion
    of the monies received in the first year only will be treated as a return of
    principal due to the inclusion in the portfolio of "when issued" or other
    Bonds having delivery dates after the date of settlement for a purchase made
    on the Date of Deposit.
(3) In contrast to Estimated Current Return, Estimated Long Term Return reflects
    the amortization of premium or accretion of discount, if any, on the bonds
    in the Trust's portfolio.
 
- --------------------------------------------------------------------------------
 
INTEREST DISTRIBUTIONS TO UNITHOLDERS   Unitholders may elect to have interest
distributions made on a monthly, quarterly, or semi-annual basis. Record Dates
are May 1 and November 1 for semi-annual distributions; February 1, May 1,
August 1 and November 1 for quarterly distributions; and the first of each month
for monthly distributions. Details of interest distributions per unit under the
various plans appear in the following table based upon estimated net annual
interest income at the Date of Deposit:
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                          Normal
                                                                                                      Distributions
Arizona Insured Trust                                    1994                          1995             per Year +
<S>                                     <C>            <C>            <C>            <C>            <C>
- ----------------------------------------------------------------------------------------------------  --------------
Record Date*..........................        5/1            8/1           11/1            2/1
Distribution Date.....................       5/15           8/15          11/15           2/15
- --------------------------------------------------------------------------------------------------------------------
Monthly Distribution Plan.............  $   .4006(1)                                                  $  4.8076
                                                          --------  $.4006 every month  --------
Quarterly Distribution Plan...........  $   .4006(1)   $  1.2099(2)   $  1.2099      $  1.2099        $  4.8396
Semi-Annual Distribution Plan.........  $   .4006(1)                  $  2.4293(3)                    $  4.8586
- --------------------------------------------------------------------------------------------------------------------
<FN>
  * Record Dates for semi-annual distributions are May 1 and November 1; for quarterly distributions, they are February 1, May 1,
    August 1 and November 1. Record Dates for monthly distributions are the first day of each month.
(1) The first distribution will be paid to all Unitholders, regardless of the distribution plan selected.
(2) Regular 3-month distribution.
(3) Regular 6-month distribution.
</TABLE>
 
+ Interest for Unitholders of this series began to accrue as of the Date of
Deposit. Units purchased on the Date of Deposit will have $.09 of accrued
interest that will be added to the Public Offering Price on the Settlement Date.
After provision for expenses of the Fund, the daily rate of accrual from the
Date of Deposit to the first Record Date is $.01335 per unit per day.
Consequently, on the first Record Date (05/01/94), accrued interest will total
$1.1614 per unit for the 87-day period. Because a substantial portion of this
interest will not yet be due from the issuers of the bonds in the Fund, the
first payment to all Unitholders of Record on 05/01/94 is $.4006, and the
remaining $.7608 of accrued interest will remain an asset of the Trust and be
distributed in subsequent periods as portfolio bonds mature, or are redeemed, or
sold and the accrued interest on these bonds is collected. After the first
Record Date daily rates of accrual are:
              Monthly - $0.01335              Quarterly - $0.01344
                             Semi-Annual - $0.01350
This daily rate of accrual, and the annual distributions shown above, will
remain the same as long as the portfolio size and composition remain the same.
 
- --------------------------------------------------------------------------------
 
                                                          715
<PAGE>
- -------------------------------------------------------
AVERAGE PORTFOLIO LIFE   The average maturity of portfolio bonds is 24.2 years.
The first bond is scheduled to mature in July, 2010, with the last bond maturity
being July, 2023.
 
- -------------------------------------------------
BONDS INSURED BY MBIA   Each bond in this Nuveen Insured series has been
insured* by the Municipal Bond Investors Assurance Corporation, which guarantees
timely payments of principal and interest. Premium payments have been fully paid
by the Date of Deposit.
 
- -------------------------------------------------
CALL PROTECTION   Bonds are first subject to optional redemption by the issuers
in the years and at the prices shown under the Redemption Provisions column in
the Schedule of Investments. Unless otherwise stated, in subsequent years, bonds
are redeemable at declining prices, but not usually below par value. Some issues
or some portions of issues may also be subject to sinking fund redemption or
extraordinary redemption without premium prior to the dates shown.
 
- -------------------------------------------------
NO CHARGE FOR REDEMPTION   The Trustee, United States Trust Company of New York,
will redeem units at net asset value. In addition, John Nuveen & Co.
Incorporated intends to maintain a secondary market for this Nuveen Tax-Exempt
Unit Trust. Inasmuch as all securities investments are subject to market price
fluctuation, net asset value at the time of redemption could be more or less
than the initial investment.
 
- -------------------------------------------------
REINVESTMENT OPTIONS   Specify automatic reinvestment of trust income, with no
sales charge, to earn compounded dividends with Nuveen mutual funds.
 
- -------------------------------------------------
* Insurance relates specifically to the bonds and not to the units or to the
  market value of units. Terms of the insurance are more fully described in the
  prospectus. No representation is made as to the insurer's ability to meet its
  commitments. See Section 5 of the prospectus for details.
- -------------------------------------------------------
FOR A PROSPECTUS CONTAINING MORE COMPLETE INFORMATION, INCLUDING CHARGES AND
EXPENSES, ON THIS NUVEEN TAX-EXEMPT UNIT TRUST AND ANY OTHER NUVEEN FUND, CALL
YOUR BROKER . . . OR NUVEEN AT
 
                                 1-800-351-4100
 
READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR SEND MONEY.


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