THE SECURITIES  REPRESENTED BY THIS  CERTIFICATE  HAVE NOT BEEN REGISTERED UNDER
THE  SECURITIES  ACT OF  1933,  AS  AMENDED  (THE  "SECURITIES  ACT"),  OR STATE
SECURITIES LAWS AND CANNOT BE OFFERED,  SOLD, ASSIGNED, OR OTHERWISE TRANSFERRED
AT ANY  TIME  WHATSOEVER,  EXCEPT  UPON  DELIVERY  TO THE  COMPANY  OF  EVIDENCE
SATISFACTORY TO THE COMPANY AND ITS COUNSEL (INCLUDING, AT THE COMPANY'S OPTION,
AN OPINION OF  COUNSEL)  THAT  REGISTRATION  IS NOT  REQUIRED  FOR SUCH OFFER OR
TRANSFER AND THAT SUCH OFFER OR TRANSFER IS EXEMPT FROM  REGISTRATION  UNDER THE
SECURITIES ACT AND APPLICABLE STATE SECURITIES LAWS AND REGULATIONS  PROMULGATED
THEREUNDER. THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE BEEN ACQUIRED BY
THE REGISTERED OWNER HEREOF FOR INVESTMENT AND NOT WITH A VIEW TO OR FOR SALE IN
CONNECTION WITH ANY DISTRIBUTION THEREOF IN VIOLATION OF THE SECURITIES ACT. THE
SECURITIES  MAY NOT BE  SOLD,  PLEDGED,  TRANSFERRED  OR  ASSIGNED  EXCEPT  IN A
TRANSACTION  WHICH IS EXEMPT UNDER THE  PROVISIONS OF THE  SECURITIES ACT OR ANY
APPLICABLE  STATE  SECURITIES  LAWS,  OR PURSUANT TO AN  EFFECTIVE  REGISTRATION
STATEMENT OR IN A TRANSACTION  OTHERWISE IN COMPLIANCE WITH  APPLICABLE  FEDERAL
AND STATE  SECURITIES  LAWS.

No. A-1                         Warrant to Purchase X,XXX Shares of Common Stock

WARRANT TO PURCHASE SHARES OF COMMON STOCK

                           OF GSE SYSTEMS, INC. Dated:

                               February 28, 2006

                    THIS CERTIFIES THAT, for value received,

                           **[INSERT INVESTOR NAME]**
or  registered  assigns,  is entitled  to purchase  from GSE  SYSTEMS,  Inc.,  a
Delaware  corporation (the  "Company"),  at any time and from time to time on or
after the date hereof  (the  "Effective  Time") and on or before 5:00 p.m.,  New
York City time, on February 28, 2011 (the "Expiration  Date"),  X,XXX fully paid
and non-assessable shares (the "Warrant Shares") of common stock, par value $.01
per share, of the Company (the "Common  Stock"),  subject to the adjustments and
on the terms and  conditions  hereinafter  set forth,  at the exercise price per
Warrant Share equal to 110% of the closing  price of the Company's  common stock
on the  closing  date of the Series A  Cumulative  Convertible  Preferred  Stock
offering (as such price may be adjusted from time to time in accordance with the
terms of this Agreement, the "Exercise Price").

          Section 1. Transfer and Exchange.

     1.1.  Transfer.  This Warrant shall be  transferable  subject to compliance
with all federal and state  securities laws and may be distributed by the holder
hereof  (hereinafter  the  "Holder")  to the Company or, with the prior  written
consent of the Company,  not to be  unreasonably  withheld,  to  Affiliates  (as
defined  below) or  successors of the Holder,  who in each case are  "accredited
investors" as defined in  Regulation D  promulgated  under the Securities Act of
1933, upon (a) delivery of the Warrant,  accompanied by a written  instrument or
instruments  of transfer in form  reasonably  acceptable  to the  Company,  duly
executed by the Holder or by the duly appointed legal representative  thereof or
by a duly  authorized  attorney;  and  (b) accompanied  by an opinion of counsel
reasonably  satisfactory  to counsel  for the issuer  that such  transfer  is in
compliance with all federal and state securities  laws.  "Affiliate," as used in
this Section 1, means any person or entity that controls, is controlled by or is
under common control with any owner or member of the Holder.

     Section 1.2.  Exchange.  This Warrant may be exchanged at the option of the
Holder for another  Warrant or Warrants  of like tenor and  representing  in the
aggregate  the right to purchase a like number of Warrant  Shares.  Such request
must be in writing delivered to the Company,  and be accompanied by this Warrant
properly endorsed at the principal office of the Company.

          Section 2. Exercise of Warrants.


     (a) Subject to the terms of this Warrant,  this Warrant may be exercised at
any time in whole and from time to time in part, at the option of the Holder, on
or after the Effective Time and on or prior to the Expiration Date. This Warrant
shall  initially  be  exercisable  in whole or in part for an aggregate of X,XXX
fully paid and  nonassessable  shares of Common Stock for an exercise  price per
share equal to the Exercise Price, by delivery to the Company of:


          (i) a  completed  Election  to  Purchase,  in the  form  set  forth in
     Exhibit I,  executed by the Holder  exercising  all or part of the purchase
     rights represented by this Warrant;


          (ii) this Warrant;


          (iii) if this  Warrant is not  registered  in the name of the  initial
     registered Holder, an assignment in the form set forth in Exhibit II hereto
     evidencing the assignment of this Warrant to the current Holder; and


          (iv) payment of an amount  equal to the product of the Exercise  Price
     multiplied  by the number of shares of Common  Stock being  purchased  upon
     such exercise in the form of, at the Holder's  option,  (A) a  certified or
     bank  cashier's  check  payable to the Company,  or (B) a wire  transfer of
     funds to an account designated by the Company.


          (b) As used herein:


          (i) "Fair Market Value" of a security shall mean (a) if available, the
     Market Price thereof, and (b) otherwise,  if Market Price is not available,
     the Appraised Value.


          (ii) "Market Price" of any security,  on any given day, shall mean the
     average of the closing  prices of such  security's  sales on all securities
     exchanges on which such security may at the time be listed on such day, or,
     if there has been no sales on any such exchange on such day, the average of
     the highest bid and lowest asked prices on all such exchanges at the end of
     such day, or, if on such day such security is not so listed, the average of
     the  representative  bid and  asked  prices  quoted in the  American  Stock
     Exchange as of 4:00 P.M.,  New York time,  or, if on such day such security
     is not quoted in the American  Stock  Exchange,  the average of the highest
     bid and lowest asked  prices on such day in the  domestic  over the counter
     market  as  reported  by  the  PinkSheet,  LLC,  or any  similar  successor
     organization.  If at any time such security is not listed on any securities
     exchange or quoted in the American Stock  Exchange or the  over-the-counter
     market,  the  "Market  Price"  shall be the fair value th ereof  determined
     jointly  by the  Company  and the  Holder of the  Warrant  Shares.  If such
     parties are unable to reach  agreement  within  thirty (30) days,  then the
     Market Price shall be deemed not to be  available,  and the "Market  Price"
     shall be deemed the Appraised Value.


          (iii)  "Appraised  Value" shall mean, in the event the Market Price is
     not  available,  the fair market value of a security  without  discount for
     limitations  on  voting   rights,   minority   interests,   illiquidity  or
     restrictions  on transfer,  as determined by an appraisal  performed at the
     expense of the Company by any of (w) Houlihan,  Lokey,  Howard & Zukin, (x)
     Duff & Phelps, (y) Willamette  Management  Associates,  or any successor to
     such  firms,  or (z)  such  other  national  appraisal  valuation  firm  of
     recognized  standing  acceptable to Holder in its reasonable  discretion as
     the  Company  shall  elect (the  "Appraiser");  provided  that (i) any such
     Appraiser identified in clauses (w) through (z) must be independent of, and
     not have any other  relationship  with,  the Company and (ii) the Appraiser
     shall be  directed to  determine  the value of such  securities  as soon as
     practicable,  but in no event  later than thirty (30) days from the date of
     its selection.  The determination of the Fair Market Value by the Appraiser
     will be conclusive and binding on all parties to this Agreement.  The costs
     of the  Appraiser  will be  borne  by the  Company.  In no  event  will the
     Appraised Value of the Common Stock,  other  securities or property be less
     than the per share  consideration  received or  receivable  with respect to
     Common  Stock or  securities  or  property  of the same  class as the other
     securities,  as the case may be, in connection  with a pending  transaction
     involving a sale, merger, recapitalization,  reorganization, consolidation,
     or share exchange, dissolution of the Company, sale or transfer of all of a
     majority of its assets or revenue or income generating capacity, or similar
     transaction.


     (c) Upon the exercise of this  Warrant,  the Company  shall issue and cause
promptly to be delivered  upon such  exercise to, or upon the written  order of,
the Holder and in such name or names as the Holder may designate,  a certificate
or certificates for the number of full Warrant Shares to which such Holder shall
be  entitled,  together  with cash in lieu of any  fraction  of a Warrant  Share
otherwise issuable upon such exercise. Such certificate or certificates shall be
deemed to have been  issued,  and any person so  designated  to be the person or
persons  entitled to receive the Warrant  Shares  issuable upon exercise of this
Warrant shall be deemed to have become a holder of record of such Warrant Shares
for all  purposes,  as of the close of business on the date of the  surrender of
this Warrant and full payment of the Exercise Price.


     (d) If this Warrant is exercised in respect of less than all of the Warrant
Shares evidenced by this Warrant at any time prior to the Expiration Date, a new
Warrant  evidencing the remaining  Warrant Shares shall be issued to the Holder,
or its nominee(s), without charge therefor.

          Section 3. Investment Intent; Restrictive Legends. The Warrant and the
Warrant  Shares have not been  registered  under the  Securities Act of 1933, as
amended  (the  "Securities  Act"),  or state  securities  laws.  The holder of a
Warrant Certificate, by its acceptance thereof, represents and warrants that the
Warrant and Warrant  Shares are being  acquired as an investment  and not with a
view to the distribution  thereof,  and understands and  acknowledges  that each
Warrant or Share  Certificate shall bear a restrictive  legend  substantially as
set forth below,  until with respect to the Warrant Shares, the effectiveness of
a registration covering such shares:

     THE SECURITIES  REPRESENTED BY THIS  CERTIFICATE  HAVE NOT BEEN  REGISTERED
UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE  "SECURITIES  ACT"),  OR STATE
SECURITIES LAWS AND CANNOT BE OFFERED,  SOLD, ASSIGNED, OR OTHERWISE TRANSFERRED
AT ANY  TIME  WHATSOEVER,  EXCEPT  UPON  DELIVERY  TO THE  COMPANY  OF  EVIDENCE
SATISFACTORY TO THE COMPANY AND ITS COUNSEL (INCLUDING, AT THE COMPANY'S OPTION,
AN OPINION OF  COUNSEL)  THAT  REGISTRATION  IS NOT  REQUIRED  FOR SUCH OFFER OR
TRANSFER AND THAT SUCH OFFER OR TRANSFER IS EXEMPT FROM  REGISTRATION  UNDER THE
SECURITIES ACT AND APPLICABLE STATE SECURITIES LAWS AND REGULATIONS  PROMULGATED
THEREUNDER. THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE BEEN ACQUIRED BY
THE REGISTERED OWNER HEREOF FOR INVESTMENT AND NOT WITH A VIEW TO OR FOR SALE IN
CONNECTION WITH ANY DISTRIBUTION THEREOF IN VIOLATION OF THE SECURITIES ACT. THE
SECURITIES  MAY NOT BE  SOLD,  PLEDGED,  TRANSFERRED  OR  ASSIGNED  EXCEPT  IN A
TRANSACTION  WHICH IS EXEMPT UNDER THE  PROVISIONS OF THE SECURITIES ACT OR AN Y
APPLICABLE  STATE  SECURITIES  LAWS,  OR PURSUANT TO AN  EFFECTIVE  REGISTRATION
STATEMENT OR IN A TRANSACTION  OTHERWISE IN COMPLIANCE WITH  APPLICABLE  FEDERAL
AND STATE SECURITIES LAWS.

          Section 4. Representations and Covenants of the Company.

     (a) The Company  represents  and warrants to the Holder that the execution,
delivery  and  issuance  of  this  Warrant,  the  Company's  performance  of its
obligations hereunder and the issuance of the Warrant Shares do not and will not
conflict with,  violate or constitute a default under the Company's  Certificate
of Incorporation or By-laws,  any state or federal laws, the provisions or terms
of any  outstanding  securities  of the  Company  or any  order,  writ,  decree,
judgment or material  agreement  to which the Company is party or its assets are
subject.

     (b) The  execution  and  delivery  by the  Company of this  Warrant and the
performance  of its  obligations  hereunder  have  been duly  authorized  by all
necessary  corporate  action on the part of the Company.  No consent or approval
of,  giving of notice to,  registration  with,  or taking of any other action in
respect  of any  state,  federal or other  governmental  authority  or agency is
required with respect to the execution,  delivery and performance by the Company
of its obligations under this Warrant.

          Section 5.  Payment of Taxes.  The  Company  shall pay all federal and
state taxes (other than taxes on income of the Holder), documentary taxes, stamp
taxes,  if any,  and other  governmental  charges  that may be imposed  upon the
issuance or delivery of this Warrant or upon the issuance or delivery of Warrant
Shares upon the exercise of this Warrant,  provided,  however,  that the Company
shall not be required to pay any taxes payable in  connection  with any transfer
involved in the issuance or delivery of any Warrants or Warrant Shares in a name
other  than that of the  Holder in  respect  of which  such  Warrant  Shares are
issued.  The  Company may refuse to deliver the  certificates  representing  the
Warrant  Shares being  issued in a name other than the  Holder's  name until the
Company  receives a sum  sufficient to pay any tax that will be due because such
shares are to be issued in a name other than the Holder's name.

          Section 6.  Mutilated or Missing  Warrants.  If this Warrant  shall be
mutilated,  lost,  stolen or destroyed,  the Company shall issue in exchange and
substitution for and upon cancellation of the mutilated  Warrant,  or in lieu of
and  substitution  for the Warrant lost,  stolen or destroyed,  a new Warrant of
like tenor and  representing  an  equivalent  right or  interest,  but only upon
receipt of evidence  reasonably  satisfactory to the Company of such loss, theft
or  destruction  and, in the case of a lost,  stolen or  destroyed  Warrant,  an
indemnity, satisfactory to the Company, to hold the Company harmless as a result
of any such  delivery,  provided  that in the event  that the Holder of any such
lost, stolen or destroyed  Warrant is the initial Holder,  then the affidavit of
such initial Holder,  setting forth the fact of loss, theft or destruction shall
be accepted as satisfactory  evidence thereof and no further  indemnity shall be
required as a condition to the  execution  and delivery of the new Warrant other
than the written agreement of such initial Holder to indemnify the Company.

          Section 7.  Reservation of Warrant  Shares,  Obtaining of Governmental
Approvals and Stock Exchange Listings.

          Section 7.1.  Reservation of Warrant Shares.  The Company shall at all
times keep reserved and keep available,  free from preemptive rights, out of its
authorized  but  unissued  Common Stock or  authorized  Common Stock held in its
treasury,  a number of shares of Common Stock and, in the case of any adjustment
made pursuant to Section 9, out of the applicable  authorized but unissued class
and series of other securities,  other securities, if any, sufficient to provide
for the full exercise of this Warrant.

     The transfer agent for the Common Stock and every subsequent transfer agent
for any of the Company's  securities  issuable upon the exercise of this Warrant
shall be irrevocably authorized and directed at all times to reserve such number
of  authorized  securities  as shall be required for such  purpose.  The Company
shall keep a copy of this Warrant on file with the transfer agent for the Common
Stock and with  every  subsequent  transfer  agent for  shares of the  Company's
securities issuable upon the exercise of this Warrant.  The Company shall supply
such transfer  agent with duly  executed  certificates  representing  the Common
Stock or other  securities for such purposes and shall provide or otherwise make
available any cash that may be payable as provided in Section 10 hereof.

     The Company  covenants that all Warrant Shares issued upon exercise of this
Warrant will,  upon issuance in  accordance  with the terms of this Warrant,  be
fully paid and nonassessable and free from all taxes, liens,  charges,  security
interests and other encumbrances other than liens,  charges,  security interests
and other  encumbrances  created  by the  person  or entity to whom the  Warrant
Shares are issued.

     The Company shall not by any action including, without limitation, amending
its  certificate of  incorporation  or through any  reorganization,  transfer of
assets, consolidation,  merger, dissolution,  issue or sale of securities or any
other voluntary action,  avoid or seek to avoid the observance or performance of
any of the terms of this Warrant;  but will at all times in good faith assist in
the  carrying out of all such terms and in the taking of all such actions as may
be  necessary  or  appropriate  to  protect  the  rights of the  Holder  against
impairment.  Without limiting the generality of the foregoing,  the Company will
(a) not increase the par value of any shares of Common Stock receivable upon the
exercise of this Warrant  above the amount  payable  therefor upon such exercise
immediately prior to such increase in par value, and (b) take all such action as
may be  necessary  or  appropriate  in order that the  Company  may  validly and
legally  issue  fully  paid and  nonassessable  shares of Common  Stock upon the
exercise of this Warrant.

          Section 7.2. Governmental  Approvals and Stock Exchange Listings.  The
Company will use its best efforts to (i) obtain and keep  effective  any and all
permits,  consents and approvals of Federal or state  governmental  agencies and
authorities and make all filings under Federal and state  securities  laws, that
are required in connection  with the issuance and delivery of this Warrant,  the
exercise of this  Warrant,  and the issuance and delivery of the Warrant  Shares
issued upon exercise of this  Warrant,  and (ii) have the Warrant  Shares,  upon
their issuance, listed on each securities exchange on which the Common Stock (or
any other securities included in Warrant Shares) are then listed.

          Section 8.  Cancellation  of  Warrants.  If the Company  purchases  or
otherwise acquires this Warrant,  the Company shall cancel this Warrant, and any
Warrant surrendered for exchange, substitution, transfer or exercise in whole or
in part.

          Section 9. Adjustment of Warrant Shares.

          Section  9.1.  Subdivision  or  Combination  of Common  Stock.  If the
Company  at  any  time   subdivides  (by  any  stock  split,   stock   dividend,
recapitalization  or otherwise) one or more classes of its outstanding shares of
Common  Stock into a greater  number of  shares,  the  Warrant  Shares in effect
immediately prior to such subdivision will be proportionately  increased and the
Exercise Price  proportionately  decreased.  If the Company at any time combines
(by reverse  stock split or  otherwise)  one or more classes of its  outstanding
shares of Common Stock into a smaller  number of shares,  the Warrant  Shares in
effect immediately prior to such combination will be  proportionately  decreased
and the Exercise Price proportionately increased.

          Section 9.2. Reorganization,  Reclassification,  Consolidation, Merger
or Sale. Any recapitalization,  reorganization, reclassification, consolidation,
merger,  sale of all or  substantially  all of the  Company's  assets to another
person or other  transaction  that is  effected  in such a way that  holders  of
Common  Stock are  entitled  to  receive  (either  directly  or upon  subsequent
liquidation)  stock,  securities  or assets with  respect to or in exchange  for
Common  Stock  is  referred  to  herein  as  "Organic   Change."  Prior  to  the
consummation of any Organic Change, the Company will make appropriate  provision
(as determined by the Board of Directors,  but in form and substance  reasonably
satisfactory  to the Holder) to ensure that the Holder will upon closing of such
Organic  Change  thereafter  have the right to acquire and receive in lieu of or
addition  to (as the  case  may be)  the  shares  of  Common  Stock  immediately
theretofore  acquirable  and receivable  upon the exercise of the Warrant,  such
shares of stock,  securit ies or assets as may be issued or payable with respect
to or in  exchange  for  the  number  of  shares  of  Common  Stock  immediately
theretofore  acquirable  and  receivable  upon  exercise of the Warrant had such
Organic  Change  not  taken  place.  In any such  case,  the  Company  will make
appropriate  provision (in form and substance  satisfactory  to the Holder) with
respect to the Holder's  rights and  interests to ensure that the  provisions of
this  Section 9 and  Section 10 hereof  will  thereafter  be  applicable  to the
Warrants  (including,  in the case of any such consolidation,  merger or sale in
which the successor  entity or purchasing  entity is other than the Company,  an
immediate and  appropriate  adjustment of the Exercise  Price based on the value
for the Common  Stock  reflected by the terms of such  consolidation,  merger or
sale, and a corresponding  immediate and appropriate adjustment in the number of
Warrant Shares). The Company shall not effect any such consolidation,  merger or
sale, unless prior to the consummation  thereo f, the successor entity (if other
than the Company)  resulting  from  consolidation  or merger or the  corporation
purchasing  such assets  assumes by written  instrument  (in form and  substance
satisfactory to the Holder), the obligation to deliver to the Holder such shares
of stock,  securities or assets as, in accordance with the foregoing provisions,
the Holder may be entitled to acquire.

          Section 9.3. Notices.

     (a) Promptly upon any  adjustment of the Warrant  Shares,  the Company will
give written  notice thereof to the Holder,  setting forth in reasonable  detail
and certifying the calculation of such adjustment.

     (b) The Company will give written notice to the Holder at least twenty (20)
days prior to the date on which the  Company  closes its books or takes a record
(A) with respect to any dividend or distribution upon the Common Stock, (B) with
respect to any pro rata subscription offer to holders of Common Stock or (C) for
determining  rights to vote with respect to any Organic  Change,  dissolution or
liquidation.

     (c) The Company will also give written notice to the Holder at least twenty
(20)  days  prior  to the date on  which  any  Organic  Change,  dissolution  or
liquidation will take place.

          Section 10. Rights as Stockholders.  Nothing contained in this Warrant
shall be construed as conferring upon the Holder the right to vote or to consent
or to receive any notice  (other than as set forth  herein) as  stockholders  in
respect of any meeting of  stockholders  for the  election of  directors  of the
Company or any other matter,  or any rights  whatsoever as  stockholders  of the
Company.

          Section 11. Identity of Transfer Holder. Promptly upon the appointment
of any subsequent  transfer agent of the Common Stock,  or any other  securities
issuable  upon the  exercise of this  Warrant,  the Company  will deliver to the
Holder  a  statement  setting  forth  the name and  address  of such  subsequent
transfer agent.

          Section 12. Notices. All notices and other communications provided for
or  permitted  hereunder  shall be in writing and shall be deemed given (i) when
made, if made by hand delivery,  (ii) upon confirmation,  if made by telecopier,
or (iii) one  business  day after  being  deposited  with a  reputable  next-day
courier, postage prepaid, to the parties as follows:

        if to the Company:

        GSE Systems, Inc.
        7133 Rutherford  Road, Suite 200
        Baltimore,  Maryland 21244
        Attention:  John V. Moran
        Facsimile No.: 410-277-5287

        if to the Holder:

     [Record address notified to the Company by the Holder]

     The  Company  or the  Holder by notice  to the  other  party may  designate
additional  or  different  addresses  as shall be  furnished  in writing by such
party. Any notice or communication mailed to the Holder shall be mailed by first
class  mail or other  equivalent  means at such  Holder's  address  and shall be
sufficiently given to such Holder if so mailed within the time prescribed.

          Section 13. Amendment and Waiver.  The Company and the Holder may from
time to time supplement,  modify or amend this Warrant, except, this Warrant may
not be amended, modified or supplemented,  and waivers or consents to departures
from the provisions hereof may not be given,  without the written consent of the
Company and the persons holding  Warrants  representing  the right to purchase a
majority of the Warrant Shares purchasable upon exercise of the then outstanding
Warrants.

          Section 14.  Successors.  All the  covenants  and  provisions  of this
Warrant by or for the benefit of the Company or the Holder shall be binding upon
and shall  inure to the benefit of their  respective  permitted  successors  and
assigns hereunder.

          Section 15. Merger or Consolidation of the Company.  The Company shall
not  merge or  consolidate  with or into any  other  entity  unless  the  entity
resulting from such merger or consolidation (if not the Company) shall expressly
assume,  by  supplemental  agreement  satisfactory  in  form to the  Holder  and
executed and  delivered  to the Holder,  the due and  punctual  performance  and
observance  of each and every  covenant  and  condition  of this  Warrant  to be
performed and observed by the Company.

          Section  16.   Governing   Law.  THE  VALIDITY,   INTERPRETATION   AND
PERFORMANCE  OF THIS  WARRANT  SHALL BE GOVERNED BY THE LAWS OF THE STATE OF NEW
YORK, AS APPLIED TO CONTRACTS  MADE AND PERFORMED  WITHIN THE STATE OF NEW YORK,
WITHOUT REGARD TO PRINCIPLES OF CONFLICTS OF LAW.

          Section 17. Third Party  Beneficiary.  The provisions hereof have been
and are made solely for the  benefit of the  Company  and the Holder,  and their
respective successors and assigns, and no other person shall acquire or have any
right hereunder or by virtue hereof.

          Section 18. Headings. The headings in this Warrant are for convenience
only and shall not limit or otherwise affect the meaning hereof.

          Section  19.  Severability.   If  any  term,  provision,  covenant  or
restriction of this Warrant is held by a court of competent  jurisdiction  to be
invalid, illegal, void or unenforceable, the remainder of the terms, provisions,
covenants  and  restrictions  set forth  herein  shall  remain in full force and
effect and shall in no way be affected, impaired or invalidated, and the parties
hereto shall use their best efforts to find and employ an  alternative  means to
achieve the same or substantially  the same result as that  contemplated by such
term, provision,  covenant or restriction.  It is hereby stipulated and declared
to be the  intention of the parties that they would have  executed the remaining
terms,  provisions,  covenants and  restrictions  without  including any of such
which may be hereafter declared invalid, illegal, void or unenforceable.

          Section 20. Entire Agreement.  This Warrant is intended by the parties
as a final  expression  of their  agreement  and  intended to be a complete  and
exclusive  statement of the agreement and understanding of the parties hereto in
respect  of the  subject  matter  contained  herein  and  therein.  There are no
restrictions,  promises, warranties or undertakings,  other than those set forth
or referred to herein and therein.  This Warrant supersedes all prior agreements
and  understandings  between the parties with  respect to such  subject  matter.
Notwithstanding  the foregoing,  the Holder shall be entitled to the benefits of
the Registration Rights Agreement with respect to the Warrant Shares.

          Section 21.  Attorneys'  Fees. In any action or proceeding  brought to
enforce any provision of this Warrant,  or where any provision hereof is validly
asserted as a defense,  the prevailing party, as determined by the court,  shall
be  entitled  to recover  reasonable  attorneys'  fees in  addition to any other
available remedy.

          Section 22.  Further  Assurances.  Each party hereto agrees to use all
reasonable  efforts to obtain all  consents and  approvals,  and to do all other
things, necessary for the transactions  contemplated by this Warrant on or prior
to the  Expiration  Date.  The parties agree to take such further  action and to
deliver  or cause to be  delivered  to each  other  after the date  hereof  such
additional  agreements or instruments as any of them may reasonably  request for
the purpose of carrying out this  Warrant and the  agreements  and  transactions
contemplated hereby and thereby.

          Section 23.  Equitable  Remedies.  Each party hereto  acknowledges and
agrees that  irreparable  harm, for which there may be no adequate remedy at law
and for which the  ascertainment  of damages would be difficult,  would occur in
the event any of the provisions of this Warrant were not performed in accordance
with  its  specific  terms  or  were  otherwise  breached.   Each  party  hereto
accordingly  agrees  that  each  other  party  hereto  shall be  entitled  to an
injunction or injunctions to prevent breaches of the provisions of this Warrant,
or any agreement contemplated  hereunder,  and to enforce specifically the terms
and provisions  hereof or thereof in any court of the United States or any state
thereof  having  jurisdiction,  in each instance  without being required to post
bond or other  security  and in  addition  to, and  without  having to prove the
inadequacy of, other remedies at law.

     IN WITNESS  WHEREOF,  GSE SYSTEMS,  Inc. has caused this Warrant to be duly
executed, all as of the day and year first above written.

                                GSE SYSTEMS, INC.

                                _________________________
                                By: John V. Moran
                                Its: Chief Executive Officer

(Corporate Seal)

Attest:


Secretary


                                                                       EXHIBIT I
                                                                      ----------

                              ELECTION TO PURCHASE

     The undersigned hereby irrevocably elects to exercise Warrants  represented
by this Warrant and to purchase  the shares of Common Stock or other  securities
issuable upon the exercise of said Warrants,  and requests that Certificates for
such shares be issued and delivered as follows:

ISSUE TO:       ____________________________________
                (Name)

                ____________________________________
                (Address, Including Zip Code)

                ____________________________________
                (Social Security or Tax Identification Number)

DELIVER TO:     ____________________________________
                (Name)

                ____________________________________
                (Address, Including Zip Code)

     In payment of the purchase  price with  respect to this Warrant  exercised,
the  undersigned  hereby tenders  payment of $          by (i) certified or bank
cashiers  check payable to the order of the Company ; or (ii) a wire transfer of
such funds to an account  designated by the Company (check  applicable  box). If
the number of Warrant  Shares  hereby  exercised  is fewer than all the  Warrant
Shares represented by this Warrant,  the undersigned requests that a new Warrant
representing  the number of full Warrant  Shares not  exercised to be issued and
delivered as set forth below:


Name of Holder or Assignee:  _______________________
                                (Please Print)


Address:  __________________________________________

          __________________________________________


Signature:  ______________________  DATED:  __________,  200__  (Signature  must
conform  in all  respects  to name of  holder as  specified  on the fact of this
Warrant)

Signature Guaranteed:_______________________________

                                                                      EXHIBIT II
                                                                      ----------
                                   ASSIGNMENT

     FOR VALUE  RECEIVED,  the undersigned  hereby sells,  assigns and transfers
unto the Assignee named below all of the rights of the  undersigned  represented
by the within  Warrant,  with respect to the number of Warrant  Shares set forth
below:

                                                                     Taxpayer
                                          Number of               Identificaiton
Name of Assignee        Address         Warrant Shares               Taxpayer
- ----------------        -------         --------------              ------------


and  does  hereby  irrevocably   constitute  and  appoint   ___________________,
Attorney,  to make such  transfer  on the  Warrant  Register  maintained  at the
principal office of the Company with full power of substitution in the premises.

Dated: ______________ 200______
      Signature

(Signature  must  conform in all  respects to name of holder as specified on the
face of this Warrant).



Signature Guaranteed:

________________________________________________________________________________