NUVEEN TAX EXEMPT UNIT TRUST SERIES 779
497, 1995-01-20
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<PAGE>
NUVEEN  Tax-Exempt Unit Trusts
     NUVEEN
     VIRGINIA
     TRUST 297
              (VIRGINIA TRADITIONAL TRUST 297)
 
            Estimated Current Return
            First
            Year: 5.93% to 6.16%
            Subsequent
            Years: 5.95% to 6.18%
            as of 01/18/95
 
            Estimated Long Term Return
            6.01% to 6.24%
             35,000 units in a
             diversified $3,500,000
             portfolio of tax-exempt
             bonds
                  Cusip:
                  6706L5 614 Monthly Payment Option
                  6706L5 622 Quarterly Payment Option
                  6706L5 630 Semi-Annual Payment Option
 
                  Registered in Virginia
                    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           Philadelphia
New York, New York 10022      Phoenix
Telephone: 212.207.2000       San Francisco
                              Seattle
                              Tampa
                              Washington, D.C.
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
 
NUVEEN TAX-EXEMPT UNIT TRUST--VIRGINIA TRADITIONAL TRUST 297
SCHEDULE OF INVESTMENTS
DATE OF DEPOSIT JANUARY 19, 1995
- --------------------------------------------------------------------------------
 
<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>
  --------------------------------------------------------------------------------------------------------------------------
  $  500,000    Virginia College Building Authority, Educational Facilities        2004 at 102          AA            Aa
                  Revenue Bonds (The Washington and Lee University Project),
                  Series of 1994, 5.80% Due 1/1/24.
     500,000    Virginia Housing Development Authority, Multi-Family Housing       2003 at 102          AA+           Aa
                  Bonds, 1993 Series E, 5.90% Due 11/1/17.
     500,000    Industrial Development Authority of Danville, Virginia,            2004 at 101          AAA           Aaa
                  Hospital Revenue Bonds, Danville Regional Medical Center,
                  Series 1994, 6.375% Due 10/1/14. (FGIC Insured.)
     135,000    Industrial Development Authority of Fairfax County,                No Optional          AA-           Aa
                  Virginia, Hospital Revenue Refunding Bonds (Inova Health            Call
                  System Hospitals Project), Series 1993A, 5.00% Due
                  8/15/23. (Original issue discount bonds delivered on or
                  about November 3, 1993 at a price of 94.807% of principal
                  amount.)
     500,000    Industrial Development Authority of the County of Henrico,         2005 at 102          AA            Aa
                  Virginia, Public Facility Lease Revenue Bonds (Henrico
                  County Regional Jail Project), Series 1994, 7.125% Due
                  8/1/21.
     425,000    Industrial Development Authority of the County of Prince           2003 at 102          --             A
                  William (Virginia), Hospital Revenue Refunding Bonds
                  (Prince William Hospital), Series 1993, 5.25% Due 4/1/19.
                  (Original issue discount bonds delivered on or about July
                  29, 1993 at a price of 92.543% of principal amount.)
     500,000    Richmond (Virginia), Redevelopment and Housing Authority,          2005 at 102          AAA           Aaa
                  Project Revenue Bonds (1994 Old Manchester Project),
                  Series 1994, 6.80% Due 3/1/15. (CGIC Insured.)
     440,000    City of Virginia Beach, Virginia, General Obligation Public        2004 at 102          AA            Aa
                  Improvement Bonds, Series of 1995, 6.20% Due 9/1/13. (When
                  issued.)
  ----------
  $3,500,000
  ----------
  ----------
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
UNIT PRICE, ESTIMATED CURRENT RETURN AND ESTIMATED LONG TERM RETURN DEPEND ON
AMOUNT PURCHASED AND PAYMENT OPTION    The sales charges/volume discounts below
apply on all concurrent purchases of any Nuveen trust units, unless any such
purchases are made by a class of investors for which a separate sales charge is
applicable as described more fully in the Prospectus. 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>
50-499                 $5,000-$49,999   4.90 %   $     99.98     (5.93%)  5.95%     (5.96%)  5.98%     (5.98%)  6.00%
500-999                 50,000-99,999   4.75           99.82     (5.94)   5.96      (5.97)   5.99      (5.99)   6.01
1,000-2,499           100,000-249,999   4.50           99.56     (5.95)   5.97      (5.98)   6.01      (6.00)   6.03
2,500-4,999           250,000-499,999   4.25           99.30     (5.97)   5.99      (6.00)   6.02      (6.02)   6.04
5,000-9,999           500,000-999,999   3.50           98.53     (6.01)   6.04      (6.05)   6.07      (6.07)   6.09
10,000-24,999     1,000,000-2,499,999   3.00           98.02     (6.05)   6.07      (6.08)   6.10      (6.10)   6.12
25,000-49,999     2,500,000-4,999,999   2.50           97.52     (6.08)   6.10      (6.11)   6.13      (6.13)   6.15
50,000 and over    5,000,000 and over   2.00           97.02     (6.11)   6.13      (6.14)   6.16      (6.16)   6.18
</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>
50-499                 $5,000-$49,999   4.90 %   $     99.98          6.01%            6.04%            6.06%
500-999                 50,000-99,999   4.75           99.82          6.02             6.05             6.06
1,000-2,499           100,000-249,999   4.50           99.56          6.04             6.06             6.08
2,500-4,999           250,000-499,999   4.25           99.30          6.05             6.08             6.10
5,000-9,999           500,000-999,999   3.50           98.53          6.10             6.13             6.15
10,000-24,999     1,000,000-2,499,999   3.00           98.02          6.13             6.16             6.18
25,000-49,999     2,500,000-4,999,999   2.50           97.52          6.16             6.19             6.21
50,000 and over    5,000,000 and over   2.00           97.02          6.19             6.22             6.24
</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
Virginia Traditional Trust                                        1995                              per Year +
<S>                                     <C>            <C>            <C>            <C>        <C>
- ------------------------------------------------------------------------------------------------  --------------
Record Date*..........................        3/1            5/1            8/1           11/1
Distribution Date.....................       3/15           5/15           8/15          11/15
- ----------------------------------------------------------------------------------------------------------------
Monthly Distribution Plan.............  $   .6938(1)                                              $  5.9477
                                                        --------  $.4956 every month  --------
Quarterly Distribution Plan...........  $   .6938(1)   $   .9966(2)   $  1.4949      $  1.4949    $  5.9797
Semi-Annual Distribution Plan.........  $   .6938(1)   $   .9996(3)                  $  2.9988    $  5.9987
- ----------------------------------------------------------------------------------------------------------------
<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. Such distribution may
    be more or less than a regular monthly distribution.
(2) The second distribution under the quarterly distribution plan represents a 2-month distribution; subsequent quarterly
    distributions will be regular 3-month distributions.
(3) The second distribution under the semi-annual distribution plan represents a 2-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 $.12 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 $.01652 per unit per day.
Consequently, on the first Record Date (03/01/95), accrued interest will total
$0.6938 per unit for the 42-day period. All interest accrued from the Date of
Deposit to the first Record Date, less expenses, will be distributed on the
first Distribution Date to Unitholders of Record as of the first Record Date.
The first payment to all Unitholders of Record on 03/01/95 is $.6938 per unit.
After the first Record Date daily rates of accrual are:
              Monthly - $0.01652              Quarterly - $0.01661
                             Semi-Annual - $0.01666
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.
 
- --------------------------------------------------------------------------------
 
                                                          779
<PAGE>
- -------------------------------------------------------
 
AVERAGE PORTFOLIO LIFE   The average maturity of portfolio bonds is 23.3 years.
The first bond is scheduled to mature in September, 2013, with the last bond
maturity being January, 2024.
 
- -------------------------------------------------------
 
QUALITY OF PORTFOLIO AS RATED BY
STANDARD & POOR'S CORPORATION
OR MOODY'S INVESTORS SERVICES
- -------------------------------------------------------
 
<TABLE>
<S>                       <C>                    <C>
Rating                    Percent of Portfolio
Category                  Par Value
- --------------------------------------------------------------------
AAA                           29%
AA                            59
A                             12
                             ---
                             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.
 
- -------------------------------------------------------
 
UNITS OF THE TRUST ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED OR ENDORSED
BY, ANY BANK AND ARE NOT FEDERALLY INSURED OR OTHERWISE PROTECTED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION, THE FEDERAL RESERVE BOARD OR ANY OTHER AGENCY AND
INVOLVE INVESTMENT RISK, INCLUDING THE POSSIBLE LOSS OF PRINCIPAL.
 
- -------------------------------------------------------
 
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
 
                                 1-800-257-8787
 
READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR SEND MONEY.
<PAGE>
NUVEEN  Tax-Exempt Unit Trusts
     NUVEEN
     NATIONAL
     INSURED
     TRUST 288
 
            Estimated Current Return
            6.05% to 6.28%
            as of 01/18/95
 
            Estimated Long Term Return
            6.07% to 6.30%
             100,000 units in a
             diversified $10,000,000
             portfolio of tax-exempt
             bonds rated "AAA"
                  Cusip:
                  6710A3 522 Monthly Payment Option
                  6710A3 530 Quarterly Payment Option
                  6710A3 548 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           Philadelphia
New York, New York 10022      Phoenix
Telephone: 212.207.2000       San Francisco
                              Seattle
                              Tampa
                              Washington, D.C.
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
 
NUVEEN TAX-EXEMPT UNIT TRUST--INSURED, NATIONAL INSURED TRUST 288
SCHEDULE OF INVESTMENTS
DATE OF DEPOSIT JANUARY 19, 1995
- --------------------------------------------------------------------------------
 
<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    State Public Works Board of the State of California, Lease         2004 at 102          AAA           Aaa
                  Revenue Bonds (Department of Corrections), 1994 Series A
                  (California State Prison-Monterey County (Soledad II)),
                  7.00% Due 11/1/19.
     300,000    City of Chicago (Illinois), Wastewater Transmission Revenue        2005 at 102          AAA           Aaa
                  Bonds, Series 1994, 6.375% Due 1/1/24.
   1,000,000    Illinois Development Finance Authority, Pollution Control          2003 at 102          AAA           Aaa
                  Revenue Refunding Bonds (Central Illinois Public Service
                  Company), 1993 Series B-2, 5.90% Due 6/1/28.
   1,000,000    The Pollution Control Financing Authority of Salem County          2004 at 102          AAA           Aaa
                  (New Jersey), Pollution Control Revenue Refunding Bonds,
                  1994 Series C (Public Service Electric and Gas Company
                  Project), 6.20% Due 8/1/30.
   1,000,000    New York State Medical Care Facilities Finance Agency, New         2005 at 102          AAA           Aaa
                  York Hospital FHA-Insured Mortgage Revenue Bonds, 1994
                  Series A, 6.80% Due 8/15/24.
     500,000    Pennsylvania Intergovernmental Cooperation Authority,              2003 at 100          AAA           Aaa
                  Special Tax Revenue Bonds (City of Philadelphia Funding
                  Program), Series of 1993, 5.60% Due 6/15/15.
   1,000,000    Lehigh County Industrial Development Authority, Pollution          2004 at 102          AAA           Aaa
                  Control Revenue Refunding Bonds, 1994 Series B
                  (Pennsylvania Power & Light Company Project), 6.40% Due
                  9/1/29.
     700,000    Harris County Health Facilities (Texas), Development               2004 at 101          AAA           Aaa
                  Corporation Hospital Revenue Bonds (Hermann Hospital),
                  Series 1994, 6.375% Due 10/1/24.
   1,000,000    Bexar County (Texas), Health Facilities Development                2004 at 102          AAA           Aaa
                  Corporation, Hospital Revenue Bonds (Baptist Memorial
                  Hospital System Project), Series 1994, 6.75% Due 8/15/19.
   1,000,000    King County, Washington, Department of Metropolitan                2004 at 102          AAA           Aaa
                  Services, General Obligation Sewer Revenue Bonds, 1994
                  Series A, 6.25% Due 1/1/34.
   1,000,000    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.
  ----------
  $10,000,000
  ----------
  ----------
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
UNIT PRICE, ESTIMATED CURRENT RETURN AND ESTIMATED LONG TERM RETURN DEPEND ON
AMOUNT PURCHASED AND PAYMENT OPTION    The sales charges/volume discounts below
apply on all concurrent purchases of any Nuveen trust units, unless any such
purchases are made by a class of investors for which a separate sales charge is
applicable as described more fully in the Prospectus. 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>
50-499                 $5,000-$49,999   4.90 %   $    101.55          6.05%            6.08%            6.10%
500-999                 50,000-99,999   4.75          101.39          6.06             6.09             6.11
1,000-2,499           100,000-249,999   4.50          101.12          6.07             6.10             6.12
2,500-4,999           250,000-499,999   4.25          100.86          6.09             6.12             6.14
5,000-9,999           500,000-999,999   3.50          100.07          6.14             6.17             6.19
10,000-24,999     1,000,000-2,499,999   3.00           99.56          6.17             6.20             6.22
25,000-49,999     2,500,000-4,999,999   2.50           99.05          6.20             6.23             6.25
50,000 and over    5,000,000 and over   2.00           98.54          6.23             6.26             6.28
</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>
50-499                 $5,000-$49,999   4.90 %   $    101.55          6.07%            6.10%            6.12%
500-999                 50,000-99,999   4.75          101.39          6.07             6.10             6.12
1,000-2,499           100,000-249,999   4.50          101.12          6.09             6.12             6.14
2,500-4,999           250,000-499,999   4.25          100.86          6.11             6.13             6.15
5,000-9,999           500,000-999,999   3.50          100.07          6.16             6.19             6.21
10,000-24,999     1,000,000-2,499,999   3.00           99.56          6.19             6.22             6.24
25,000-49,999     2,500,000-4,999,999   2.50           99.05          6.22             6.25             6.27
50,000 and over    5,000,000 and over   2.00           98.54          6.25             6.28             6.30
</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                                            1995                              per Year +
<S>                                     <C>            <C>            <C>            <C>        <C>
- ------------------------------------------------------------------------------------------------  --------------
Record Date*..........................        3/1            5/1            8/1           11/1
Distribution Date.....................       3/15           5/15           8/15          11/15
- ----------------------------------------------------------------------------------------------------------------
Monthly Distribution Plan.............  $   .7161(1)                                              $  6.1409
                                                        --------  $.5115 every month  --------
Quarterly Distribution Plan...........  $   .7161(1)   $  1.0284(2)   $  1.5426      $  1.5426    $  6.1729
Semi-Annual Distribution Plan.........  $   .7161(1)   $  1.0314(3)                  $  3.0942    $  6.1919
- ----------------------------------------------------------------------------------------------------------------
<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. Such distribution may
    be more or less than a regular monthly distribution.
(2) The second distribution under the quarterly distribution plan represents a 2-month distribution; subsequent quarterly
    distributions will be regular 3-month distributions.
(3) The second distribution under the semi-annual distribution plan represents a 2-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 $.12 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 $.01705 per unit per day.
Consequently, on the first Record Date (03/01/95), accrued interest will total
$0.7161 per unit for the 42-day period. All interest accrued from the Date of
Deposit to the first Record Date, less expenses, will be distributed on the
first Distribution Date to Unitholders of Record as of the first Record Date.
The first payment to all Unitholders of Record on 03/01/95 is $.7161 per unit.
After the first Record Date daily rates of accrual are:
              Monthly - $0.01705              Quarterly - $0.01714
                             Semi-Annual - $0.01719
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 11 Tax-exempt bond issues in this trust; this diversified portfolio
yields current income from issuers in 7 states.
- -------------------------------------------------------
<TABLE>
<CAPTION>
                   Percent
                   of Total
                   Income
<S>                    <C>        <C>
- ------------------------
                                  %
California                  16.5
Illinois                    12.3
New Jersey                   9.8
New York                    10.7
 
<CAPTION>
                   Percent
                   of Total
                   Income
- ------------------------
<S>                    <C>        <C>
                                  %
Pennsylvania                14.5
Texas                       17.6
Washington                  18.6
</TABLE>
 
- -------------------------------------------------
 
AVERAGE PORTFOLIO LIFE The average maturity
of portfolio bonds is 29.4 years. The first bond is scheduled to mature in June,
2015, with the last bond maturity being January, 2034.
 
- -------------------------------------------------
 
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.
 
- -------------------------------------------------
 
UNITS OF THE TRUST ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED OR ENDORSED
BY, ANY BANK AND ARE NOT FEDERALLY INSURED OR OTHERWISE PROTECTED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION, THE FEDERAL RESERVE BOARD OR ANY OTHER AGENCY AND
INVOLVE INVESTMENT RISK, INCLUDING THE POSSIBLE LOSS OF PRINCIPAL.
 
- -------------------------------------------------
 
* 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
 
                                 1-800-257-8787
 
READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR SEND MONEY.
 
779
<PAGE>
NUVEEN  Tax-Exempt Unit Trusts
     NUVEEN
     CALIFORNIA
     INSURED
     TRUST 240
 
            Estimated Current Return
            5.87% to 6.10%
            as of 01/18/95
 
            Estimated Long Term Return
            6.01% to 6.25%
             35,000 units in a
             diversified $3,500,000
             portfolio of tax-exempt
             bonds rated "AAA"
                  Cusip:
                  67064U 675 Monthly Payment Option
                  67064U 683 Quarterly Payment Option
                  67064U 691 Semi-Annual Payment Option
 
                  Registered in California
                    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           Philadelphia
New York, New York 10022      Phoenix
Telephone: 212.207.2000       San Francisco
                              Seattle
                              Tampa
                              Washington, D.C.
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
 
NUVEEN TAX-EXEMPT UNIT TRUST--INSURED, CALIFORNIA INSURED TRUST 240
SCHEDULE OF INVESTMENTS
DATE OF DEPOSIT JANUARY 19, 1995
- --------------------------------------------------------------------------------
 
<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>
  --------------------------------------------------------------------------------------------------------------------------
  $  165,000    California Statewide Communities Development Authority,            2003 at 102          AAA           Aaa
                  Hospital Refunding Revenue Certificates of Participation,
                  Cedars-Sinai Medical Center, Series 1993, 5.25% Due
                  11/1/17.
     235,000    California Statewide Communities Development Authority,            2003 at 102          AAA           Aaa
                  Certificates of Participation, Sutter Health Obligated
                  Group, 5.50% Due 8/15/23.
     500,000    State Public Works Board of the State of California, Lease         2004 at 102          AAA           Aaa
                  Revenue Bonds (Department of Corrections), 1994 Series A
                  (California State Prison-Monterey County (Soledad II)),
                  7.00% Due 11/1/19.
     500,000    The Regents of the University of California, Refunding             2003 at 102          AAA           Aaa
                  Revenue Bonds (1989 Multiple Purpose Projects), Series C,
                  5.25% Due 9/1/16.
     500,000    The City of Los Angeles (California), Wastewater System            2003 at 102          AAA           Aaa
                  Revenue Bonds, Series 1993-B, 5.70% Due 6/1/23.
     500,000    Department of Water and Power of The City of Los Angeles           2003 at 102          AAA           Aaa
                  (California), Electric Plant Refunding Revenue Bonds,
                  Issue of 1993, 5.375% Due 9/1/23. (Original issue discount
                  bonds delivered on or about April 15, 1993 at a price of
                  93.281% of principal amount.)
     100,000    Sacramento Municipal Utility District (California), Electric       2003 at 102          AAA           Aaa
                  Revenue Bonds, 1993 Series E, 5.75% Due 5/15/22.
     500,000    County of Sacramento, California (Sacramento County Public         2003 at 102          AAA           Aaa
                  Facilities Financing Corporation), Refunding Certificates
                  of Participation (Sacramento Main Detention Facility
                  Project), 5.75% Due 6/1/15.
     500,000    Commonwealth of Puerto Rico, Public Improvement Bonds of           2004 at 101          AAA           Aaa
                  1994 (General Obligation Bonds), 6.50% Due 7/1/23.                   1/2
  ----------
  $3,500,000
  ----------
  ----------
</TABLE>
 
<PAGE>
- --------------------------------------------------------------------------------
UNIT PRICE, ESTIMATED CURRENT RETURN AND ESTIMATED LONG TERM RETURN DEPEND ON
AMOUNT PURCHASED AND PAYMENT OPTION    The sales charges/volume discounts below
apply on all concurrent purchases of any Nuveen trust units, unless any such
purchases are made by a class of investors for which a separate sales charge is
applicable as described more fully in the Prospectus. 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>
50-499                 $5,000-$49,999   4.90 %   $     95.85          5.87%            5.90%            5.92%
500-999                 50,000-99,999   4.75           95.70          5.88             5.91             5.93
1,000-2,499           100,000-249,999   4.50           95.45          5.89             5.93             5.95
2,500-4,999           250,000-499,999   4.25           95.20          5.91             5.94             5.96
5,000-9,999           500,000-999,999   3.50           94.46          5.96             5.99             6.01
10,000-24,999     1,000,000-2,499,999   3.00           93.97          5.99             6.02             6.04
25,000-49,999     2,500,000-4,999,999   2.50           93.49          6.02             6.05             6.07
50,000 and over    5,000,000 and over   2.00           93.01          6.05             6.08             6.10
</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>
50-499                 $5,000-$49,999   4.90 %   $     95.85          6.01%            6.05%            6.07%
500-999                 50,000-99,999   4.75           95.70          6.02             6.06             6.07
1,000-2,499           100,000-249,999   4.50           95.45          6.04             6.07             6.09
2,500-4,999           250,000-499,999   4.25           95.20          6.05             6.09             6.11
5,000-9,999           500,000-999,999   3.50           94.46          6.10             6.14             6.16
10,000-24,999     1,000,000-2,499,999   3.00           93.97          6.13             6.17             6.19
25,000-49,999     2,500,000-4,999,999   2.50           93.49          6.16             6.20             6.22
50,000 and over    5,000,000 and over   2.00           93.01          6.19             6.23             6.25
</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.
 
- --------------------------------------------------------------------------------
 
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
California Insured Trust                                          1995                              per Year +
<S>                                     <C>            <C>            <C>            <C>        <C>
- ------------------------------------------------------------------------------------------------  --------------
Record Date*..........................        3/1            5/1            8/1           11/1
Distribution Date.....................       3/15           5/15           8/15          11/15
- ----------------------------------------------------------------------------------------------------------------
Monthly Distribution Plan.............  $   .6560(1)                                              $  5.6252
                                                        --------  $.4686 every month  --------
Quarterly Distribution Plan...........  $   .6560(1)   $   .9426(2)   $  1.4139      $  1.4139    $  5.6572
Semi-Annual Distribution Plan.........  $   .6560(1)   $   .9456(3)                  $  2.8368    $  5.6762
- ----------------------------------------------------------------------------------------------------------------
<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. Such distribution may
    be more or less than a regular monthly distribution.
(2) The second distribution under the quarterly distribution plan represents a 2-month distribution; subsequent quarterly
    distributions will be regular 3-month distributions.
(3) The second distribution under the semi-annual distribution plan represents a 2-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 $.11 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 $.01562 per unit per day.
Consequently, on the first Record Date (03/01/95), accrued interest will total
$0.6560 per unit for the 42-day period. All interest accrued from the Date of
Deposit to the first Record Date, less expenses, will be distributed on the
first Distribution Date to Unitholders of Record as of the first Record Date.
The first payment to all Unitholders of Record on 03/01/95 is $.6560 per unit.
After the first Record Date daily rates of accrual are:
              Monthly - $0.01562              Quarterly - $0.01571
                             Semi-Annual - $0.01576
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.
 
- --------------------------------------------------------------------------------
 
                                                          779
<PAGE>
- -------------------------------------------------------
 
AVERAGE PORTFOLIO LIFE   The average maturity of portfolio bonds is 25.5 years.
The first bond is scheduled to mature in June, 2015, with the last bond maturity
being September, 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.
 
- -------------------------------------------------------
 
UNITS OF THE TRUST ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED OR ENDORSED
BY, ANY BANK AND ARE NOT FEDERALLY INSURED OR OTHERWISE PROTECTED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION, THE FEDERAL RESERVE BOARD OR ANY OTHER AGENCY AND
INVOLVE INVESTMENT RISK, INCLUDING THE POSSIBLE LOSS OF PRINCIPAL.
 
- -------------------------------------------------------
 
* 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
 
                                 1-800-257-8787
 
READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR SEND MONEY.


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