Document:

<PAGE>

<TABLE>
<S>                                                     <C>                                  <C>
                 [SEAL]                                            [LOGO]                             [SEAL]

 THIS CERTIFICATE IS TRANSFERABLE IN THE CITY OF        NUMERICAL TECHNOLOGIES, INC.             CUSIP 67053T 10 1
RIDGEFIELD, N.J. OR THE CITY OF NEW YORK, N.Y.
                                                                                             SEE REVERSE FOR CERTAIN DEFINITIONS
</TABLE>

             INCORPORATED UNDER THE LAWS OF THE STATE OF DELAWARE

                            [GRAPHIC APPEARS HERE]

FULLY PAID AND NONASSESSABLE SHARES OF COMMON STOCK, $0.0001 PAR VALUE PER
                                   SHARE, OF

     _____________________                               _________________
__________________________  NUMERICAL TECHNOLOGIES, INC. _______________________
     _____________________                               _________________

transferable only on the books of the Corporation by the holder hereof in person
or by duly authorized Attorney upon surrender of this certificate properly
endorsed. This certificate is not valid until countersigned by the Transfer
Agent and Registrar.

     WITNESS the facsimile signatures of its duly authorized officers.

Dated:

                                    [SEAL]
        /s/ Yao-Ting Wang                           /s/ Yagyensh C. Pati

       ASSISTANT SECRETARY                 PRESIDENT AND CHIEF EXECUTIVE OFFICER

COUNTERSIGNED AND REGISTERED:
          CHASEMELLON SHAREHOLDER SERVICES, LLC.
                              TRANSFER AGENT AND REGISTRAR

                                                            AUTHORIZED SIGNATURE

<PAGE>

                         NUMERICAL TECHNOLOGIES, INC.

     A statement of the powers, designations, preferences and relative,
participating, optional or other special rights of each class of stock or series
thereof and the qualifications or restrictions of such preferences and/or rights
as established, from time to time, by the Certificate of Incorporation of the
Corporation and by any certificate of determination, and the number of shares
constituting each class or series and the designations thereof, may be obtained
by any stockholder of the Corporation, upon written request and without charge
from the Secretary of the Corporation at the principal office of the
Corporation.
     KEEP THIS CERTIFICATE IN A SAFE PLACE. IF IT IS LOST, STOLEN, OR DESTROYED
THE CORPORATION WILL REQUIRE A BOND OF INDEMNITY AS A CONDITION TO THE ISSUANCE
OF A REPLACEMENT CERTIFICATE.

          The following abbreviations, when used in the inscription on the face
     of this certificate, shall be construed as though they were written out in
     full according to applicable laws or regulations.

<TABLE>
<S>                                                       <C>
     TEN COM -  as tenants in common                      UNIF GIFT MIN ACT -  _______________ Custodian _________________
     TEN ENT -  as tenants by the entireties                                         (Cust)                    (Minor)
     JT TEN  -  as joint tenants with right                                   under Uniform Gifts to Minors
                of survivorship and not as                                    Act _________________________________________
                tenants in common                                                                 (State)
     COM PROP - as community property                     UNIF TRF MIN ACT - _____________ Custodian (until age ___________)
                                                                                (Cust)
                                                                             ______________________ under Uniform Transfers
                                                                                    (Minor)
                                                                             to Minors Act ___________________________________
                                                                                                     (State)
</TABLE>

    Additional abbreviations may also be used though not in the above list.

     For value received, ____________________________hereby sell, assign and
transfer unto

PLEASE INSERT SOCIAL SECURITY OR OTHER TAXPAYER
      IDENTIFYING NUMBER OF ASSIGNEE
-----------------------------------------------

-----------------------------------------------

______________________________________________________________________________
   PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING ZIP CODE OF ASSIGNEE

______________________________________________________________________________

______________________________________________________________________________

________________________________________________________________________ shares
of the common stock represented by the within Certificate, and do hereby
irrevocable constitute and appoint

_____________________________________________________________________ Attorney,
to transfer the said stock on the books of the within named Corporation with
full power of substitution in the premises.

Dated _________,____                      X _________________________________

                                          X _________________________________

Notice: The signature(s) to this assignment must correspond with the name(s)
written upon the face of this Certificate in every particular, without
alteration or enlargement or any change whatsoever.

Signature(s) Guaranteed

By _________________________________________________________
THE SIGNATURE(S) MUST BE GUARANTEED BY AN ELIGIBLE GUARANTOR
INSTITUTION (BANKS, STOCKBROKERS, SAVINGS AND LOAN
ASSOCIATIONS AND CREDIT UNIONS WITH MEMBERSHIP IN AN
APPROVED SIGNATURE GUARANTEE MEDALLION PROGRAM), PURSUANT TO
S.E.C. RULE 17Ad-15.<PAGE>
                                                                  Exhibit 10.2
                         NUMERICAL TECHNOLOGIES, INC.

                                2000 STOCK PLAN

     1.   Purposes of the Plan.  The purposes of this 2000 Stock Plan are:
          --------------------

          .    to attract and retain the best available personnel for positions
               of substantial responsibility,

          .    to provide additional incentive to Employees, Directors and
               Consultants, and

          .    to promote the success of the Company's business.

          Options granted under the Plan may be Incentive Stock Options or
Nonstatutory Stock Options, as determined by the Administrator at the time of
grant. Stock Purchase Rights may also be granted under the Plan.

     2.   Definitions.  As used herein, the following definitions shall apply:
          -----------

          (a)  "Administrator" means the Board or any of its Committees as
                -------------
shall be administering the Plan, in accordance with Section 4 of the Plan.

          (b)  "Applicable Laws" means the requirements relating to the
                ---------------
administration of stock option plans under U. S. state corporate laws, U.S.
federal and state securities laws, the Code, any stock exchange or quotation
system on which the Common Stock is listed or quoted and the applicable laws of
any foreign country or jurisdiction where Options or Stock Purchase Rights are,
or will be, granted under the Plan.

          (c)  "Board" means the Board of Directors of the Company.
                -----

          (d)  "Cause" means (i) any act of personal dishonesty taken by the
                -----
Optionee in connection with his responsibilities as an Employee which is
intended to result in personal enrichment of the Optionee, (ii) the Optionee's
conviction of a felony, (iii) any act by the Optionee that constitutes
misconduct, and (iv) continued violations by the Optionee of the Optionee's
obligations to the Company.

          (e)  "Change of Control" means the occurrence of any of the following
                -----------------
events:

               (i)  Any "person" (as such term is used in Sections 13(d) and
14(d) of the Exchange Act) becomes the "beneficial owner" (as defined in Rule
13d-3 of the Exchange Act), directly or indirectly, of securities of the Company
representing fifty percent (50%) or more of the total voting power represented
by the Company's then outstanding voting securities; or
<PAGE>

               (ii)  The consummation of the sale or disposition by the Company
of all or substantially all of the Company's assets; or

               (iii) The consummation of a merger or consolidation of the
Company with any other corporation, other than a merger or consolidation which
would result in the voting securities of the Company outstanding immediately
prior thereto continuing to represent (either by remaining outstanding or by
being converted into voting securities of the surviving entity or its parent) at
least seventy percent (70%) of the total voting power represented by the voting
securities of the Company or such surviving entity or its parent outstanding
immediately after such merger or consolidation.

          (f)  "Code" means the Internal Revenue Code of 1986, as amended.
                ----

          (g)  "Committee"  means a committee of Directors appointed by the
                ---------
Board in accordance with Section 4 of the Plan.

          (h)  "Common Stock" means the common stock of the Company.
                ------------

          (i)  "Company" means Numerical Technologies, Inc., a California
                -------
corporation.

          (j)  "Consultant" means any person, including an advisor, engaged by
                ----------
the Company or a Parent or Subsidiary to render services to such entity.

          (k)  "Director" means a member of the Board.
                --------

          (l)  "Disability" means total and permanent disability as defined in
                ----------
Section 22(e)(3) of the Code.

          (m)  "Employee" means any person, including Officers and Directors,
                --------
employed by the Company or any Parent or Subsidiary of the Company. A Service
Provider shall not cease to be an Employee in the case of (i) any leave of
absence approved by the Company or (ii) transfers between locations of the
Company or between the Company, its Parent, any Subsidiary, or any successor.
For purposes of Incentive Stock Options, no such leave may exceed ninety days,
unless reemployment upon expiration of such leave is guaranteed by statute or
contract. If reemployment upon expiration of a leave of absence approved by the
Company is not so guaranteed, on the 181st day of such leave any Incentive Stock
Option held by the Optionee shall cease to be treated as an Incentive Stock
Option and shall be treated for tax purposes as a Nonstatutory Stock Option.
Neither service as a Director nor payment of a director's fee by the Company
shall be sufficient to constitute "employment" by the Company.

          (n)  "Exchange Act" means the Securities Exchange Act of 1934, as
                ------------
amended.

          (o)  "Fair Market Value" means, as of any date, the value of Common
                -----------------
Stock determined as follows:

                                      -2-
<PAGE>

               (i)   If the Common Stock is listed on any established stock
exchange or a national market system, including without limitation the Nasdaq
National Market or The Nasdaq SmallCap Market of The Nasdaq Stock Market, its
Fair Market Value shall be the closing sales price for such stock (or the
closing bid, if no sales were reported) as quoted on such exchange or system for
the last market trading day prior to the time of determination, as reported in
The Wall Street Journal or such other source as the Administrator deems
reliable;

               (ii)  If the Common Stock is regularly quoted by a recognized
securities dealer but selling prices are not reported, the Fair Market Value of
a Share of Common Stock shall be the mean between the high bid and low asked
prices for the Common Stock on the last market trading day prior to the day of
determination, as reported in The Wall Street Journal or such other source as
the Administrator deems reliable; or

               (iii) In the absence of an established market for the Common
Stock, the Fair Market Value shall be determined in good faith by the
Administrator.

          (p)  "Incentive Stock Option" means an Option intended to qualify as
                ----------------------
an incentive stock option within the meaning of Section 422 of the Code and the
regulations promulgated thereunder.

          (q)  "Inside Director" means a Director who is an Employee.
                ---------------

          (r)  "IPO Effective Date" means the date upon which the Securities and
                ------------------
Exchange Commission declares the initial public offering of the Company's Common
Stock as effective.

          (s)  "Nonstatutory Stock Option" means an Option not intended to
                -------------------------
qualify as an Incentive Stock Option.

          (t)  "Notice of Grant" means a written or electronic notice evidencing
                ---------------
certain times and conditions of an individual Option or Stock Purchase Right
grant.  The Notice of Grant is part of the Option Agreement.

          (u)  "Officer" means a person who is an officer of the Company
                -------
within the meaning of Section 16 of the Exchange Act and the rules and
regulations promulgated thereunder.

          (v)  "Option" means a stock option granted pursuant to the Plan.
                ------

          (w)  "Option Agreement" means an agreement between the Company and an
                ----------------
Optionee evidencing the terms and conditions of an individual Option grant.  The
Option Agreement is subject to the terms and conditions of the Plan.

          (x)  "Option Exchange Program" means a program whereby outstanding
                -----------------------
Options are surrendered in exchange for Options with a lower exercise price.

          (y)  "Optioned Stock" means the Common Stock subject to an Option or
                --------------
Stock Purchase Right.

                                      -3-
<PAGE>

          (z)   "Optionee" means the holder of an outstanding Option or Stock
                 --------
Purchase Right granted under the Plan.

          (aa)  "Outside Director" means a Director who is not an Employee.
                 ----------------

          (bb)  "Plan" means this 2000 Stock Option Plan, as amended and
                 ----
restated.

          (cc)  "Restricted Stock" means shares of Common Stock acquired
                 ----------------
pursuant to a grant of Stock Purchase Rights under Section 11 of the Plan.

          (dd)  "Restricted Stock Purchase Agreement" means a written agreement
                 -----------------------------------
between the Company and the Optionee evidencing the terms and restrictions
applying to stock purchased under a Stock Purchase Right.  The Restricted Stock
Purchase Agreement is subject to the terms and conditions of the Plan and the
Notice of Grant.

          (ee)  "Rule 16b-3" means Rule 16b-3 of the Exchange Act or any
                 ----------
successor to Rule 16b-3, as in effect when discretion is being exercised with
respect to the Plan.

          (ff)  "Section 16(b)" means Section 16(b) of the Exchange Act.
                 -------------

          (gg)  "Service Provider" means an Employee, Director or Consultant.
                 ----------------

          (hh)  "Share" means a share of the Common Stock, as adjusted in
                 -----
accordance with Section 14 of the Plan.

          (ii)  "Stock Purchase Right" means the right to purchase Common Stock
                 --------------------
pursuant to Section 11 of the Plan, as evidenced by a Notice of Grant.

          (jj)  "Subsidiary" means a "subsidiary corporation", whether now or
                 ----------
hereafter existing, as defined in Section 424(f) of the Code.

     3.   Stock Subject to the Plan.  Subject to the provisions of Section 14 of
          -------------------------
the Plan, the maximum aggregate number of Shares which may be optioned and sold
under the Plan is 2,000,000 Shares, which includes the Shares available for
future issuance under the Numerical Technologies, Inc. 1997 Stock Plan (the
"1997 Stock Plan") on the date the Securities and Exchange Commission declares
the Company's registration statement effective and any Shares returned to the
1997 Stock Plan. The number of Shares reserved for issuance under the Plan shall
increase annually on the first day of the Company's fiscal year beginning in
2001 by an amount of Shares equal to the lesser of (i) 2,000,000 Shares, (ii) 5%
of the outstanding Shares on such date or (iii) an amount determined by the
Board.  The Shares may be authorized, but unissued, or reacquired Common Stock.

          If an Option or Stock Purchase Right expires or becomes unexercisable
without having been exercised in full, or is surrendered pursuant to an Option
Exchange Program, the unpurchased Shares which were subject thereto shall become
available for future grant or sale under the Plan (unless the Plan has
terminated); provided, however, that Shares that have actually been issued under
the Plan, whether upon exercise of an Option or Right, shall not be returned to
the Plan

                                      -4-
<PAGE>

and shall not become available for future distribution under the Plan, except
that if Shares of Restricted Stock are repurchased by the Company at their
original purchase price, such Shares shall become available for future grant
under the Plan.

     4.   Administration of the Plan.
          --------------------------

          (a)  Procedure.
               ---------

               (i)   Multiple Administrative Bodies.  The Plan may be
                     ------------------------------
administered by different Committees with respect to different groups of Service
Providers.

               (ii)  Section 162(m).  To the extent that the Administrator
                     --------------
determines it to be desirable to qualify Options granted hereunder as
"performance-based compensation" within the meaning of Section 162(m) of the
Code, the Plan shall be administered by a Committee of two or more "outside
directors" within the meaning of Section 162(m) of the Code.

               (iii) Rule 16b-3.  To the extent desirable to qualify
                     ----------
transactions hereunder as exempt under Rule 16b-3, the transactions contemplated
hereunder shall be structured to satisfy the requirements for exemption under
Rule 16b-3.

               (iv)  Other Administration.  Other than as provided above, the
                     --------------------
Plan shall be administered by (A) the Board or (B) a Committee, which committee
shall be constituted to satisfy Applicable Laws.

          (b)  Powers of the Administrator.  Subject to the provisions of the
               ---------------------------
Plan, and in the case of a Committee, subject to the specific duties delegated
by the Board to such Committee, the Administrator shall have the authority, in
its discretion:

               (i)   to determine the Fair Market Value;

               (ii)  to select the Service Providers to whom Options and Stock
Purchase Rights may be granted hereunder;

               (iii) to determine the number of shares of Common Stock to be
covered by each Option and Stock Purchase Right granted hereunder;

               (iv)  to approve forms of agreement for use under the Plan;

               (v)   to determine the terms and conditions, not inconsistent
with the terms of the Plan, of any Option or Stock Purchase Right granted
hereunder. Such terms and conditions include, but are not limited to, the
exercise price, the time or times when Options or Stock Purchase Rights may be
exercised (which may be based on performance criteria), any vesting acceleration
or waiver of forfeiture restrictions, and any restriction or limitation
regarding any Option or Stock Purchase Right or the shares of Common Stock
relating thereto, based in each case on such factors as the Administrator, in
its sole discretion, shall determine;

                                      -5-
<PAGE>

               (vi)   to reduce the exercise price of any Option or Stock
Purchase Right to the then current Fair Market Value if the Fair Market Value of
the Common Stock covered by such Option or Stock Purchase Right shall have
declined since the date the Option or Stock Purchase Right was granted;

               (vii)  to institute an Option Exchange Program;

               (viii) to construe and interpret the terms of the Plan and awards
granted pursuant to the Plan;

               (ix)   to prescribe, amend and rescind rules and regulations
relating to the Plan, including rules and regulations relating to sub-plans
established for the purpose of qualifying for preferred tax treatment under
foreign tax laws;

               (x)    to modify or amend each Option or Stock Purchase Right
(subject to Section 16(c) of the Plan), including the discretionary authority to
extend the post-termination exercisability period of Options longer than is
otherwise provided for in the Plan;

               (xi)   to allow Optionees to satisfy withholding tax obligations
by electing to have the Company withhold from the Shares to be issued upon
exercise of an Option or Stock Purchase Right that number of Shares having a
Fair Market Value equal to the amount required to be withheld. The Fair Market
Value of the Shares to be withheld shall be determined on the date that the
amount of tax to be withheld is to be determined. All elections by an Optionee
to have Shares withheld for this purpose shall be made in such form and under
such conditions as the Administrator may deem necessary or advisable;

               (xii)  to authorize any person to execute on behalf of the
Company any instrument required to effect the grant of an Option or Stock
Purchase Right previously granted by the Administrator;

               (xiii) to make all other determinations deemed necessary or
advisable for administering the Plan.

          (c)  Effect of Administrator's Decision. The Administrator's
               ----------------------------------
decisions, determinations and interpretations shall be final and binding on all
Optionees and any other holders of Options or Stock Purchase Rights.

     5.   Eligibility.  Nonstatutory Stock Options and Stock Purchase Rights
          -----------
may be granted to Service Providers. Incentive Stock Options may be granted only
to Employees.

     6.   Limitations.
          -----------

          (a)  Each Option shall be designated in the Option Agreement as either
an Incentive Stock Option or a Nonstatutory Stock Option. However,
notwithstanding such designation, to the extent that the aggregate Fair Market
Value of the Shares with respect to which

                                      -6-
<PAGE>

Incentive Stock Options are exercisable for the first time by the Optionee
during any calendar year (under all plans of the Company and any Parent or
Subsidiary) exceeds $100,000, such Options shall be treated as Nonstatutory
Stock Options. For purposes of this Section 6(a), Incentive Stock Options shall
be taken into account in the order in which they were granted. The Fair Market
Value of the Shares shall be determined as of the time the Option with respect
to such Shares is granted.

          (b)  Neither the Plan nor any Option or Stock Purchase Right shall
confer upon an Optionee any right with respect to continuing the Optionee's
relationship as a Service Provider with the Company, nor shall they interfere in
any way with the Optionee's right or the Company's right to terminate such
relationship at any time, with or without Cause.

          (c)  The following limitations shall apply to grants of Options:

               (i)    No Service Provider shall be granted, in any fiscal year
of the Company, Options to purchase more than 1,000,000 Shares.

               (ii)   In connection with his or her initial service, a Service
Provider may be granted Options to purchase up to an additional 2,000,000
Shares, which shall not count against the limit, set forth in subsection (i)
above.

               (iii)  The foregoing limitations shall be adjusted
proportionately in connection with any change in the Company's capitalization as
described in Section 14.

               (iv)   If an Option is cancelled in the same fiscal year of the
Company in which it was granted (other than in connection with a transaction
described in Section 14), the cancelled Option will be counted against the
limits set forth in subsections (i) and (ii) above. For this purpose, if the
exercise price of an Option is reduced, the transaction will be treated as a
cancellation of the Option and the grant of a new Option.

     7.   Term of Plan.  Subject to Section 20 of the Plan, the Plan shall
          ------------
become effective upon its adoption by the Board. It shall continue in effect for
a term of ten (10) years unless terminated earlier under Section 16 of the Plan.

     8.   Term of Option.  The term of each Option shall be stated in the Option
          --------------
Agreement.  In the case of an Incentive Stock Option, the term shall be ten (10)
years from the date of grant or such shorter term as may be provided in the
Option Agreement.  Moreover, in the case of an Incentive Stock Option granted to
an Optionee who, at the time the Incentive Stock Option is granted, owns stock
representing more than ten percent (10%) of the total combined voting power of
all classes of stock of the Company or any Parent or Subsidiary, the term of the
Incentive Stock Option shall be five (5) years from the date of grant or such
shorter term as may be provided in the Option Agreement.

                                      -7-
<PAGE>

     9.   Option Exercise Price and Consideration.
          ---------------------------------------

          (a)  Exercise Price.  The per share exercise price for the Shares to
               --------------
be issued pursuant to exercise of an Option shall be determined by the
Administrator, subject to the following:

               (i)   In the case of an Incentive Stock Option

                     (A)  granted to an Employee who, at the time the Incentive
Stock Option is granted, owns stock representing more than ten percent (10%) of
the voting power of all classes of stock of the Company or any Parent or
Subsidiary, the per Share exercise price shall be no less than 110% of the Fair
Market Value per Share on the date of grant.

                     (B)  granted to any Employee other than an Employee
described in paragraph (A) immediately above, the per Share exercise price shall
be no less than 100% of the Fair Market Value per Share on the date of grant.

               (ii)  In the case of a Nonstatutory Stock Option, the per Share
exercise price shall be determined by the Administrator.  In the case of a
Nonstatutory Stock Option intended to qualify as "performance-based
compensation" within the meaning of Section 162(m) of the Code, the per Share
exercise price shall be no less than 100% of the Fair Market Value per Share on
the date of grant.

               (iii) Notwithstanding the foregoing, Options may be granted with
a per Share exercise price of less than 100% of the Fair Market Value per Share
on the date of grant pursuant to a merger or other corporate transaction.

          (b)  Waiting Period and Exercise Dates.  At the time an Option is
               ---------------------------------
granted, the Administrator shall fix the period within which the Option may be
exercised and shall determine any conditions that must be satisfied before the
Option may be exercised.

          (c)  Form of Consideration.  The Administrator shall determine the
               ---------------------
acceptable form of consideration for exercising an Option, including the method
of payment.  In the case of an Incentive Stock Option, the Administrator shall
determine the acceptable form of consideration at the time of grant.  Such
consideration may consist entirely of:

               (i)   cash;

               (ii)  check;

               (iii) promissory note;

               (iv)  other Shares which (A) in the case of Shares acquired upon
exercise of an option, have been owned by the Optionee for more than six months
on the date of surrender, and (B) have a Fair Market Value on the date of
surrender equal to the aggregate exercise price of the Shares as to which said
Option shall be exercised;

                                      -8-
<PAGE>

               (v)    consideration received by the Company under a cashless
exercise program implemented by the Company in connection with the Plan;

               (vi)   a reduction in the amount of any Company liability to the
Optionee, including any liability attributable to the Optionee's participation
in any Company-sponsored deferred compensation program or arrangement;

               (vii)  any combination of the foregoing methods of payment; or

               (viii) such other consideration and method of payment for the
issuance of Shares to the extent permitted by Applicable Laws.

     10.  Exercise of Option.
          ------------------

          (a)  Procedure for Exercise; Rights as a Shareholder.  Any Option
               -----------------------------------------------
granted hereunder shall be exercisable according to the terms of the Plan and at
such times and under such conditions as determined by the Administrator and set
forth in the Option Agreement. Unless the Administrator provides otherwise,
vesting of Options granted hereunder shall be tolled during any unpaid leave of
absence. An Option may not be exercised for a fraction of a Share.

               An Option shall be deemed exercised when the Company receives:
(i) written or electronic notice of exercise (in accordance with the Option
Agreement) from the person entitled to exercise the Option, and (ii) full
payment for the Shares with respect to which the Option is exercised. Full
payment may consist of any consideration and method of payment authorized by the
Administrator and permitted by the Option Agreement and the Plan. Shares issued
upon exercise of an Option shall be issued in the name of the Optionee or, if
requested by the Optionee, in the name of the Optionee and his or her spouse.
Until the Shares are issued (as evidenced by the appropriate entry on the books
of the Company or of a duly authorized transfer agent of the Company), no right
to vote or receive dividends or any other rights as a shareholder shall exist
with respect to the Optioned Stock, notwithstanding the exercise of the Option.
The Company shall issue (or cause to be issued) such Shares promptly after the
Option is exercised. No adjustment will be made for a dividend or other right
for which the record date is prior to the date the Shares are issued, except as
provided in Section 14 of the Plan.

               Exercising an Option in any manner shall decrease the number of
Shares thereafter available, both for purposes of the Plan and for sale under
the Option, by the number of Shares as to which the Option is exercised.

          (b)  Termination of Relationship as a Service Provider.  Subject to
               -------------------------------------------------
Section 14, if an Optionee ceases to be a Service Provider (but not in the event
of an Optionee's change of status from Employee to Consultant (in which case an
Employee's Incentive Stock Option shall automatically convert to a Nonstatutory
Stock Option on the ninety-first (91/st/) day following such change of status)
or from Consultant to Employee), such Optionee may, but only within such period
of time as is specified in the Option Agreement (but in no event later than the
expiration date of the term of such Option as set forth in the Option
Agreement), exercise his or her Option to the extent

                                      -9-
<PAGE>

that Optionee was entitled to exercise it at the date of such termination. In
the absence of a specified time in the Option Agreement, the Option shall remain
exercisable for three (3) months following the Optionee's termination. If, on
the date of termination, the Optionee is not vested as to his or her entire
Option, the Shares covered by the unvested portion of the Option shall revert to
the Plan. If, after termination, the Optionee does not exercise his or her
Option within the time specified by the Administrator, the Option shall
terminate, and the Shares covered by such Option shall revert to the Plan.

          (c)  Disability of Optionee.  If an Optionee ceases to be a Service
               ----------------------
Provider as a result of the Optionee's Disability, the Optionee may, but only
within twelve (12) months from the date of such termination (and in no event
later than the expiration date of the term of such Option as set forth in the
Option Agreement), exercise his or her Option to the extent that the Option is
vested on the date of termination. If, on the date of termination, the Optionee
is not vested as to his or her entire Option, the Shares covered by the unvested
portion of the Option shall revert to the Plan. If, after termination, the
Optionee does not exercise his or her Option within the time specified herein,
the Option shall terminate, and the Shares covered by such Option shall revert
to the Plan.

          (d)  Death of Optionee.  If an Optionee dies while a Service Provider,
               -----------------
the Option may be exercised at any time within twelve (12) months following the
date of death (but in no event later than the expiration of the term of such
Option as set forth in the Notice of Grant), by the Optionee's estate or by a
person who acquires the right to exercise the Option by bequest or inheritance,
but only to the extent that the Option is vested on the date of death. If, at
the time of death, the Optionee is not vested as to his or her entire Option,
the Shares covered by the unvested portion of the Option shall immediately
revert to the Plan. The Option may be exercised by the executor or administrator
of the Optionee's estate or, if none, by the person(s) entitled to exercise the
Option under the Optionee's will or the laws of descent or distribution. If the
Option is not so exercised within the time specified herein, the Option shall
terminate, and the Shares covered by such Option shall revert to the Plan.

          (e)  Buyout Provisions.  The Administrator may at any time offer to
               -----------------
buy out for a payment in cash or Shares an Option previously granted based on
such terms and conditions as the Administrator shall establish and communicate
to the Optionee at the time that such offer is made.

     11.  Stock Purchase Rights.
          ---------------------

          (a)  Rights to Purchase.  Stock Purchase Rights may be issued either
               ------------------
alone, in addition to, or in tandem with other awards granted under the Plan
and/or cash awards made outside of the Plan. After the Administrator determines
that it will offer Stock Purchase Rights under the Plan, it shall advise the
offeree in writing or electronically, by means of a Notice of Grant, of the
terms, conditions and restrictions related to the offer, including the number of
Shares that the offeree shall be entitled to purchase, the price to be paid, and
the time within which the offeree must accept such offer. The offer shall be
accepted by execution of a Restricted Stock Purchase Agreement in the form
determined by the Administrator.

                                      -10-
<PAGE>

          (b)  Repurchase Option.  Unless the Administrator determines
               -----------------
otherwise, the Restricted Stock Purchase Agreement shall grant the Company a
repurchase option exercisable upon the voluntary or involuntary termination of
the purchaser's service with the Company for any reason (including death or
Disability). The purchase price for Shares repurchased pursuant to the
Restricted Stock Purchase Agreement shall be the original price paid by the
purchaser and may be paid by cancellation of any indebtedness of the purchaser
to the Company. The repurchase option shall lapse at a rate determined by the
Administrator.

          (c)  Other Provisions.  The Restricted Stock Purchase Agreement shall
               ----------------
contain such other terms, provisions and conditions not inconsistent with the
Plan as may be determined by the Administrator in its sole discretion.

          (d)  Rights as a Shareholder.  Once the Stock Purchase Right is
               -----------------------
exercised, the purchaser shall have the rights equivalent to those of a
shareholder, and shall be a shareholder when his or her purchase is entered upon
the records of the duly authorized transfer agent of the Company. No adjustment
will be made for a dividend or other right for which the record date is prior to
the date the Stock Purchase Right is exercised, except as provided in Section 14
of the Plan.

     12.  Non-Transferability of Options and Stock Purchase Rights.  Unless
          --------------------------------------------------------
determined otherwise by the Administrator, an Option or Stock Purchase Right may
not be sold, pledged, assigned, hypothecated, transferred, or disposed of in any
manner other than by will or by the laws of descent or distribution and may be
exercised, during the lifetime of the Optionee, only by the Optionee.  If the
Administrator makes an Option or Stock Purchase Right transferable, such Option
or Stock Purchase Right shall contain such additional terms and conditions as
the Administrator deems appropriate.

     13.  Formula Option Grants to Outside Directors. Outside Directors shall be
          ------------------------------------------
granted Options in accordance with the following provisions:

          (a)  All Options granted pursuant to this Section shall be
Nonstatutory Stock Options and, except as otherwise provided herein, shall be
subject to the other terms and conditions of the Plan.

          (b)  Except as provided in subsection (d) below, each person who first
becomes an Outside Director on or after the IPO Effective Date, whether through
election by the stockholders of the Company or appointment by the Board to fill
a vacancy shall be automatically granted an Option to purchase up to 20,000
Shares (the "First Option") on the date he or she first becomes an Outside
Director; provided, however, that an Inside Director who ceases to be an Inside
Director but who remains a Director shall not receive a First Option.

          (c)  Except as provided in subsection (d) below, each Outside Director
shall be automatically granted an Option to purchase up to 5,000 Shares (a
"Subsequent Option") following each annual meeting of the stockholders of the
Company occurring after the end of the Company's fiscal year 2000, if
immediately after such meeting, he or she shall continue to serve on the Board
and shall have served on the Board for at least the preceding six (6) months.

                                      -11-
<PAGE>

          (d)  Notwithstanding the provisions of subsections (b) and (c) hereof,
any exercise of an Option granted before the Company has obtained stockholder
approval of the Plan in accordance with Section 20 hereof shall be conditioned
upon obtaining such stockholder approval of the Plan in accordance with Section
20 hereof.

          (e)  The terms of each First Option granted pursuant to this Section
shall be as follows:

               (i)   the term of the Option shall be ten (10) years.

               (ii)  the exercise price per Share shall be 100% of the Fair
Market Value per Share on the date of grant of the Option.

               (iii) 25% of the Shares subject to the Option shall vest twelve
months after the date of grant and 1/16 of the Shares subject to the Option
shall vest each quarter thereafter. provided that the Outside Director shall
continue to serve on the Board on such dates.

          (f)  The terms of each Subsequent Option granted pursuant to this
Section shall be as follows:

               (i)   the term of the Option shall be ten (10) years.

               (ii)  the exercise price per Share shall be 100% of the Fair
Market Value per Share on the date of grant of the Option.

               (iii) the Option shall vest and become exercisable in full on the
fourth anniversary after the date of grant provided that in each case the
Outside Director shall continue to serve on the Board on such date.

     14.  Adjustments Upon Changes in Capitalization, Merger or Asset Sale.
          ----------------------------------------------------------------

          (a)  Changes in Capitalization.  Subject to any required action by the
               -------------------------
stockholders of the Company, the number of shares of Common Stock covered by
each outstanding Option or Stock Purchase Right, and the number of shares of
Common Stock which have been authorized for issuance under the Plan but as to
which no Options or Stock Purchase Rights have yet been granted or which have
been returned to the Plan upon cancellation or expiration of an Option or Stock
Purchase Right, as well as the price per share of Common Stock covered by each
such outstanding Option or Stock Purchase Right, shall be proportionately
adjusted for any increase or decrease in the number of issued shares of Common
Stock resulting from a stock split, reverse stock split, stock dividend,
combination or reclassification of the Common Stock, or any other increase or
decrease in the number of issued shares of Common Stock effected without receipt
of consideration by the Company.  The conversion of any convertible securities
of the Company shall not be deemed to have been "effected without receipt of
consideration."  Such adjustment shall be made by the Board, whose determination
in that respect shall be final, binding and conclusive.  Except as expressly
provided herein, no issuance by the Company of shares of stock of any class, or
securities

                                      -12-
<PAGE>

convertible into shares of stock of any class, shall affect, and no adjustment
by reason thereof shall be made with respect to, the number or price of shares
of Common Stock subject to an Option or Stock Purchase Right.

     (b)  Dissolution or Liquidation.  In the event of the proposed dissolution
          --------------------------
or liquidation of the Company, the Administrator shall notify each Optionee as
soon as practicable prior to the effective date of such proposed transaction.
The Administrator in its discretion may provide for an Optionee to have the
right to exercise his or her Option or Stock Purchase Right until fifteen (15)
days prior to such transaction as to all of the Optioned Stock covered thereby,
including Shares as to which the Option or Stock Purchase Right would not
otherwise be exercisable.  In addition, the Administrator may provide that any
Company repurchase option applicable to any Shares purchased upon exercise of an
Option or Stock Purchase Right shall lapse as to all such Shares, provided the
proposed dissolution or liquidation takes place at the time and in the manner
contemplated.  To the extent it has not been previously exercised, an Option or
Stock Purchase Right will terminate immediately prior to the consummation of
such proposed action.

     (c)  Merger or Asset Sale. Subject to Section 15 below, in the event of a
          --------------------
merger of the Company with or into another corporation, or the sale of
substantially all of the assets of the Company (a "Merger"), each outstanding
Option and Stock Purchase Right shall be assumed or an equivalent option or
right substituted by the successor corporation or a Parent or Subsidiary of the
successor corporation (the "Successor Corporation").  In the event that the
Successor Corporation refuses to assume or substitute for the Option or Stock
Purchase Right, the Optionee shall fully vest in and have the right to exercise
the Option or Stock Purchase Right as to all of the Optioned Stock, including
Shares as to which it would not otherwise be vested or exercisable.  If an
Option or Stock Purchase Right becomes fully vested and exercisable in lieu of
assumption or substitution in the event of a Merger, the Administrator shall
notify the Optionee in writing or electronically that the Option or Stock
Purchase Right shall be fully vested and exercisable for a period of fifteen
(15) days from the date of such notice, and the Option or Stock Purchase Right
shall terminate upon the expiration of such period.  For the purposes of this
Section 14(c), the Option or Stock Purchase Right shall be considered assumed
if, following the Merger, the option or right confers the right to purchase or
receive, for each Share of Optioned Stock subject to the Option or Stock
Purchase Right immediately prior to the Merger, the consideration (whether
stock, cash, or other securities or property) received in the Merger by holders
of Common Stock for each Share held on the effective date of the transaction
(and if holders were offered a choice of consideration, the type of
consideration chosen by the holders of a majority of the outstanding Shares);
provided, however, that if such consideration received in the Merger is not
solely common stock of the Successor Corporation or its Parent, the
Administrator may, with the consent of the Successor Corporation, provide for
the consideration to be received upon the exercise of the Option or Stock
Purchase Right, for each Share of Optioned Stock subject to the Option or Stock
Purchase Right, to be solely common stock of the Successor Corporation or its
Parent equal in fair market value to the per share consideration received by
holders of Common Stock in the Merger.

     15.  Change of Control.  In the event of a Change of Control, each
          -----------------
outstanding Option held by an Outside Director shall vest and become exercisable
in full as to all of the Optioned Stock,

                                      -13-
<PAGE>

including Shares as to which the Outside Director would not otherwise be vested
or exercisable. If an Option becomes fully vested and exercisable as provided in
this paragraph, the Administrator shall notify the Optionee in writing or
electronically that the Option shall be fully vested and exercisable for a
period of fifteen (15) days from the date of such notice, and the Option shall
terminate upon the expiration of such period.

     16.  Date of Grant.  The date of grant of an Option or Stock Purchase Right
          -------------
shall be, for all purposes, the date on which the Administrator makes the
determination granting such Option or Stock Purchase Right, or such other later
date as is determined by the Administrator.  Notice of the determination shall
be provided to each Optionee within a reasonable time after the date of such
grant.

     17.  Amendment and Termination of the Plan.
          -------------------------------------

          (a)  Amendment and Termination.  The Board may at any time amend,
               -------------------------
alter, suspend or terminate the Plan.

          (b)  Shareholder Approval.  The Company shall obtain shareholder
               --------------------
approval of any Plan amendment to the extent necessary and desirable to comply
with Applicable Laws.

          (c)  Effect of Amendment or Termination.  No amendment, alteration,
               ----------------------------------
suspension or termination of the Plan shall impair the rights of any Optionee,
unless mutually agreed otherwise between the Optionee and the Administrator,
which agreement must be in writing and signed by the Optionee and the Company.
Termination of the Plan shall not affect the Administrator's ability to exercise
the powers granted to it hereunder with respect to Options granted under the
Plan prior to the date of such termination.

     18.  Conditions Upon Issuance of Shares.
          ----------------------------------

          (a)  Legal Compliance.  Shares shall not be issued pursuant to the
               ----------------
exercise of an Option or Stock Purchase Right unless the exercise of such Option
or Stock Purchase Right and the issuance and delivery of such Shares shall
comply with Applicable Laws and shall be further subject to the approval of
counsel for the Company with respect to such compliance.

          (b)  Investment Representations.  As a condition to the exercise of an
               --------------------------
Option or Stock Purchase Right, the Company may require the person exercising
such Option or Stock Purchase Right to represent and warrant at the time of any
such exercise that the Shares are being purchased only for investment and
without any present intention to sell or distribute such Shares if, in the
opinion of counsel for the Company, such a representation is required.

     19.  Inability to Obtain Authority.  The inability of the Company to obtain
          -----------------------------
authority from any regulatory body having jurisdiction, which authority is
deemed by the Company's counsel to be necessary to the lawful issuance and sale
of any Shares hereunder, shall relieve the Company of any liability in respect
of the failure to issue or sell such Shares as to which such requisite authority
shall not have been obtained.

                                      -14-
<PAGE>

     20.  Reservation of Shares.  The Company, during the term of this Plan,
          ---------------------
will at all times reserve and keep available such number of Shares as shall be
sufficient to satisfy the requirements of the Plan.

     21.  Shareholder Approval.  The Plan shall be subject to approval by the
          --------------------
shareholders of the Company within twelve (12) months after the date the Plan is
adopted.  Such shareholder approval shall be obtained in the manner and to the
degree required under Applicable Laws.

                                      -15-
<PAGE>

                         NUMERICAL TECHNOLOGIES, INC.

                            2000 STOCK OPTION PLAN

                            STOCK OPTION AGREEMENT

     Unless otherwise defined herein, the terms defined in the Plan shall have
the same defined meanings in this Option Agreement.

I.   NOTICE OF STOCK OPTION GRANT
     ----------------------------

     [Optionee's Name and Address]

     You have been granted an option to purchase Common Stock of the Company,
subject to the terms and conditions of the Plan and this Option Agreement, as
follows:

     Grant Number                       _____________________________

     Date of Grant                      _____________________________

     Vesting Commencement Date          _____________________________

     Exercise Price per Share           $____________________________

     Total Number of Shares Granted     _____________________________

     Total Exercise Price               $____________________________

     Type of Option:                    ___ Incentive Stock Option

                                        ___ Nonstatutory Stock Option

     Term/Expiration Date:              _____________________________

     Vesting Schedule:
     ----------------

     Subject to accelerated vesting as set forth below, this Option may be
exercised, in whole or in part, in accordance with the following schedule:

     The vesting schedule shall be determined by the Administrator in its sole
discretion.
<PAGE>

     Termination Period:
     ------------------

     This Option may be exercised for thirty days after Optionee ceases to be a
Service Provider.  Upon the death or Disability of the Optionee, this Option may
be exercised for twelve months after Optionee ceases to be a Service Provider.
In no event shall this Option be exercised later than the Term/Expiration Date
as provided above.

II.  AGREEMENT
     ---------

     A.   Grant of Option.
          ---------------

          The Plan Administrator of the Company hereby grants to the Optionee
named in the Notice of Grant attached as Part I of this Agreement (the
"Optionee") an option (the "Option") to purchase the number of Shares, as set
forth in the Notice of Grant, at the exercise price per share set forth in the
Notice of Grant (the "Exercise Price"), subject to the terms and conditions of
the Plan, which is incorporated herein by reference. Subject to Section 15(c) of
the Plan, in the event of a conflict between the terms and conditions of the
Plan and the terms and conditions of this Option Agreement, the terms and
conditions of the Plan shall prevail.

          If designated in the Notice of Grant as an Incentive Stock Option
("ISO"), this Option is intended to qualify as an Incentive Stock Option under
Section 422 of the Code. However, if this Option is intended to be an Incentive
Stock Option, to the extent that it exceeds the $100,000 rule of Code Section
422(d) it shall be treated as a Nonstatutory Stock Option ("NSO").

     B.   Exercise of Option.
          ------------------

          (a)  Right to Exercise.  This Option is exercisable during its term in
               -----------------
accordance with the Vesting Schedule set out in the Notice of Grant and the
applicable provisions of the Plan and this Option Agreement.

          (b)  Method of Exercise.  This Option is exercisable by delivery of an
               ------------------
exercise notice, in the form attached as Exhibit A (the "Exercise Notice"),
which shall state the election to exercise the Option, the number of Shares in
respect of which the Option is being exercised (the "Exercised Shares"), and
such other representations and agreements as may be required by the Company
pursuant to the provisions of the Plan.  The Exercise Notice shall be completed
by the Optionee and delivered to the Chief Financial Officer of the Company.
The Exercise Notice shall be accompanied by payment of the aggregate Exercise
Price as to all Exercised Shares.  This Option shall be deemed to be exercised
upon receipt by the Company of such fully executed Exercise Notice accompanied
by such aggregate Exercise Price.

               No Shares shall be issued pursuant to the exercise of this Option
unless such issuance and exercise complies with Applicable Laws.  Assuming such
compliance, for income tax purposes the Exercised Shares shall be considered
transferred to the Optionee on the date the Option is exercised with respect to
such Exercised Shares.

                                      -2-
<PAGE>

     C.   Method of Payment.
          -----------------

          Payment of the aggregate Exercise Price shall be by any of the
following, or a combination thereof, at the election of the Optionee:

          1.   cash; or

          2.   check; or

          3.   consideration received by the Company under a cashless exercise
program implemented by the Company in connection with the Plan; or

          4.   surrender of other Shares which (i) in the case of Shares
acquired upon exercise of an option, have been owned by the Optionee for more
than six (6) months on the date of surrender, and (ii) have a Fair Market Value
on the date of surrender equal to the aggregate Exercise Price of the Exercised
Shares; or

          5.   with the Administrator's consent, delivery of Optionee's
promissory note (the "Note") in the form attached hereto as Exhibit C, in the
amount of the aggregate Exercise Price of the Exercised Shares together with the
execution and delivery by the Optionee of the Security Agreement attached hereto
as Exhibit B. The Note shall bear interest at the "applicable federal rate"
prescribed under the Code and its regulations at time of purchase, and shall be
secured by a pledge of the Shares purchased by the Note pursuant to the Security
Agreement; or

          6.   to the extent permitted by the Administrator, delivery of a
properly executed exercise notice together with such other documentation as the
Administrator and the broker, if applicable, shall require to effect an exercise
of the Option and delivery to the Company of the sale proceeds required to pay
the Exercise Price.

     D.   Non-Transferability of Option.
          -----------------------------

          This Option may not be transferred in any manner otherwise than by
will or by the laws of descent or distribution and may be exercised during the
lifetime of Optionee only by the Optionee. The terms of the Plan and this Option
Agreement shall be binding upon the executors, administrators, heirs, successors
and assigns of the Optionee.

     E.   Term of Option.
          --------------

          This Option may be exercised only within the term set out in the
Notice of Grant, and may be exercised during such term only in accordance with
the Plan and the terms of this Option Agreement.

     F.   Tax Consequences.
          ----------------

          Some of the federal tax consequences relating to this Option, as of
the date of this Option, are set forth below. THIS SUMMARY IS NECESSARILY
INCOMPLETE, AND THE TAX LAWS AND REGULATIONS ARE SUBJECT TO CHANGE. THE OPTIONEE
SHOULD

                                      -3-
<PAGE>

CONSULT A TAX ADVISER BEFORE EXERCISING THIS OPTION OR DISPOSING OF THE SHARES.

     G.   Exercising the Option.
          ---------------------

          1.   Nonstatutory Stock Option.  The Optionee may incur regular
               -------------------------
federal income tax liability upon exercise of a NSO. The Optionee will be
treated as having received compensation income (taxable at ordinary income tax
rates) equal to the excess, if any, of the Fair Market Value of the Exercised
Shares on the date of exercise over their aggregate Exercise Price. If the
Optionee is an Employee or a former Employee, the Company will be required to
withhold from his or her compensation or collect from Optionee and pay to the
applicable taxing authorities an amount in cash equal to a percentage of this
compensation income at the time of exercise, and may refuse to honor the
exercise and refuse to deliver Shares if such withholding amounts are not
delivered at the time of exercise.

          2.   Incentive Stock Option.  If this Option qualifies as an ISO, the
               ----------------------
Optionee will have no regular federal income tax liability upon its exercise,
although the excess, if any, of the Fair Market Value of the Exercised Shares on
the date of exercise over their aggregate Exercise Price will be treated as an
adjustment to alternative minimum taxable income for federal tax purposes and
may subject the Optionee to alternative minimum tax in the year of exercise.  In
the event that the Optionee ceases to be an Employee but remains a Service
Provider, any Incentive Stock Option of the Optionee that remains unexercised
shall cease to qualify as an Incentive Stock Option and will be treated for tax
purposes as a Nonstatutory Stock Option on the date three (3) months and one (1)
day following such change of status.

          3.   Disposition of Shares.
               ---------------------

               (a)  NSO.  If the Optionee holds NSO Shares for at least one
                    ---
year, any gain realized on disposition of the Shares will be treated as long-
term capital gain for federal income tax purposes.

               (b)  ISO.  If the Optionee holds ISO Shares for at least one
                    ---
year after exercise and two years after the grant date, any gain realized on
disposition of the Shares will be treated as long-term capital gain for federal
income tax purposes. If the Optionee disposes of ISO Shares within one year
after exercise or two years after the grant date, any gain realized on such
disposition will be treated as compensation income (taxable at ordinary income
rates) to the extent of the excess, if any, of the lesser of (A) the difference
between the Fair Market Value of the Shares acquired on the date of exercise and
the aggregate Exercise Price, or (B) the difference between the sale price of
such Shares and the aggregate Exercise Price. Any additional gain will be taxed
as capital gain, short-term or long-term depending on the period that the ISO
Shares were held.

               (c)  Notice of Disqualifying Disposition of ISO Shares.  If the
                    -------------------------------------------------
Optionee sells or otherwise disposes of any of the Shares acquired pursuant to
an ISO on or before the later of (i) two years after the grant date, or (ii) one
year after the exercise date, the Optionee shall immediately notify the Company
in writing of such disposition. The Optionee agrees that he or she may be
subject to income tax withholding by the Company on the compensation income
recognized from such early disposition of ISO Shares by payment in cash or out
of the current earnings paid to the Optionee.

                                      -4-
<PAGE>

     H.   Entire Agreement; Governing Law.
          -------------------------------

          The Plan is incorporated herein by reference. The Plan and this Option
Agreement constitute the entire agreement of the parties with respect to the
subject matter hereof and supersede in their entirety all prior undertakings and
agreements of the Company and Optionee with respect to the subject matter
hereof, and may not be modified adversely to the Optionee's interest except by
means of a writing signed by the Company and Optionee. This agreement is
governed by the internal substantive laws, but not the choice of law rules, of
California.

     I.   NO GUARANTEE OF CONTINUED SERVICE.
          ---------------------------------

          OPTIONEE ACKNOWLEDGES AND AGREES THAT THE VESTING OF SHARES PURSUANT
TO THE VESTING SCHEDULE HEREOF IS EARNED ONLY BY CONTINUING AS A SERVICE
PROVIDER AT THE WILL OF THE COMPANY (AND NOT THROUGH THE ACT OF BEING HIRED,
BEING GRANTED AN OPTION OR PURCHASING SHARES HEREUNDER). OPTIONEE FURTHER
ACKNOWLEDGES AND AGREES THAT THIS AGREEMENT, THE TRANSACTIONS CONTEMPLATED
HEREUNDER AND THE VESTING SCHEDULE SET FORTH HEREIN DO NOT CONSTITUTE AN EXPRESS
OR IMPLIED PROMISE OF CONTINUED ENGAGEMENT AS A SERVICE PROVIDER FOR THE VESTING
PERIOD, FOR ANY PERIOD, OR AT ALL, AND SHALL NOT INTERFERE WITH OPTIONEE'S RIGHT
OR THE COMPANY'S RIGHT TO TERMINATE OPTIONEE'S RELATIONSHIP AS A SERVICE
PROVIDER AT ANY TIME, WITH OR WITHOUT CAUSE.

     By your signature and the signature of the Company's representative below,
you and the Company agree that this Option is granted under and governed by the
terms and conditions of the Plan and this Option Agreement. Optionee has
reviewed the Plan and this Option Agreement in their entirety, has had an
opportunity to obtain the advice of counsel prior to executing this Option
Agreement and fully understands all provisions of the Plan and Option Agreement.
Optionee hereby agrees to accept as binding, conclusive and final all decisions
or interpretations of the Administrator upon any questions relating to the Plan
and Option Agreement. Optionee further agrees to notify the Company upon any
change in the residence address indicated below.

OPTIONEE:                               NUMERICAL TECHNOLOGIES, INC.

_________________________________       _________________________________
Signature                               By

_________________________________       _________________________________
Print Name                              Title

_________________________________
Residence Address

_________________________________

                                      -5-
<PAGE>

                               CONSENT OF SPOUSE
                               -----------------

     The undersigned spouse of Optionee has read and hereby approves the terms
and conditions of the Plan and this Option Agreement. In consideration of the
Company's granting his or her spouse the right to purchase Shares as set forth
in the Plan and this Option Agreement, the undersigned hereby agrees to be
irrevocably bound by the terms and conditions of the Plan and this Option
Agreement and further agrees that any community property interest shall be
similarly bound. The undersigned hereby appoints the undersigned's spouse as
attorney-in-fact for the undersigned with respect to any amendment or exercise
of rights under the Plan or this Option Agreement.

                                             _________________________________
                                             Spouse of Optionee
<PAGE>

                                   EXHIBIT A
                                   ---------

                         NUMERICAL TECHNOLOGIES, INC.

                                2000 STOCK PLAN

                                EXERCISE NOTICE

Numerical Technologies, Inc.
70 West Plumeria Drive
San Jose, CA 95134

Attention:  Corporate Secretary

     1.   Exercise of Option.  Effective as of today, ________________, _____,
          ------------------
the undersigned ("Purchaser") hereby elects to purchase ______________ shares
(the "Shares") of the Common Stock of Numerical Technologies, Inc. (the
"Company") under and pursuant to the 2000 Stock Plan (the "Plan") and the Stock
Option Agreement dated, _____ (the "Option Agreement"). The purchase price for
the Shares shall be $_____, as required by the Option Agreement.

     2.   Delivery of Payment.  Purchaser herewith delivers to the Company the
          -------------------
full purchase price for the Shares.

     3.   Representations of Purchaser.  Purchaser acknowledges that Purchaser
          ----------------------------
has received, read and understood the Plan and the Option Agreement and agrees
to abide by and be bound by their terms and conditions.

     4.   Rights as Shareholder.  Until the issuance (as evidenced by the
          ---------------------
appropriate entry on the books of the Company or of a duly authorized transfer
agent of the Company) of the Shares, no right to vote or receive dividends or
any other rights as a shareholder shall exist with respect to the Optioned
Stock, notwithstanding the exercise of the Option.  The Shares so acquired shall
be issued to the Optionee as soon as practicable after exercise of the Option.
No adjustment will be made for a dividend or other right for which the record
date is prior to the date of issuance, except as provided in Section 13 of the
Plan.

     5.   Tax Consultation.  Purchaser understands that Purchaser may suffer
          ----------------
adverse tax consequences as a result of Purchaser's purchase or disposition of
the Shares.  Purchaser represents that Purchaser has consulted with any tax
consultants Purchaser deems advisable in connection with the purchase or
disposition of the Shares and that Purchaser is not relying on the Company for
any tax advice.
<PAGE>

     6.   Entire Agreement; Governing Law.  The Plan and Option Agreement are
          -------------------------------
incorporated herein by reference.  This Agreement, the Plan and the Option
Agreement constitute the entire agreement of the parties with respect to the
subject matter hereof and supersede in their entirety all prior undertakings and
agreements of the Company and Purchaser with respect to the subject matter
hereof, and may not be modified adversely to the Purchaser's interest except by
means of a writing signed by the Company and Purchaser.  This agreement is
governed by the internal substantive laws, but not the choice of law rules, of
California.

Submitted by:                           Accepted by:

PURCHASER:                              NUMERICAL TECHNOLOGIES, INC.

_________________________________       _________________________________
Signature                               By

_________________________________       _________________________________
Print Name                              Its

Address:                                Address:
-------                                 -------

_________________________________       NUMERICAL TECHNOLOGIES, INC.

_________________________________       70 West Plumeria Drive
                                        San Jose, CA 95134

                                        _________________________________
                                        Date Received

                                      -2-
<PAGE>

                                   EXHIBIT B
                                   ---------

                              SECURITY AGREEMENT

     This Security Agreement is made as of __________, _____ between Numerical
Technologies, Inc., a California corporation ("Pledgee"), and
_________________________ ("Pledgor").

                                   Recitals
                                   --------

     Pursuant to Pledgor's election to purchase Shares under the Option
Agreement dated ________ (the "Option"), between Pledgor and Pledgee under
Pledgee's 2000 Stock Plan, and Pledgor's election under the terms of the Option
to pay for such shares with his promissory note (the "Note"), Pledgor has
purchased _________ shares of Pledgee's Common Stock (the "Shares") at a price
of $________ per share, for a total purchase price of $__________. The Note and
the obligations thereunder are as set forth in Exhibit C to the Option.

     NOW, THEREFORE, it is agreed as follows:

     1.   Creation and Description of Security Interest.  In consideration of
          ---------------------------------------------
the ransfer of the Shares to Pledgor under the Option Agreement, Pledgor,
pursuant to the California Commercial Code, hereby pledges all of such Shares
(herein sometimes referred to as the "Collateral") represented by certificate
number ______, duly endorsed in blank or with executed stock powers, and
herewith delivers said certificate to the Secretary of Pledgee ("Pledgeholder"),
who shall hold said certificate subject to the terms and conditions of this
Security Agreement.

          The pledged stock (together with an executed blank stock assignment
for use in transferring all or a portion of the Shares to Pledgee if, as and
when required pursuant to this Security Agreement) shall be held by the
Pledgeholder as security for the repayment of the Note, and any extensions or
renewals thereof, to be executed by Pledgor pursuant to the terms of the Option,
and the Pledgeholder shall not encumber or dispose of such Shares except in
accordance with the provisions of this Security Agreement.

     2.   Pledgor's Representations and Covenants.  To induce Pledgee to enter
          ---------------------------------------
into his Security Agreement, Pledgor represents and covenants to Pledgee, its
successors and assigns, as follows:

          (a)  Payment of Indebtedness.  Pledgor will pay the principal sum of
               -----------------------
the Note secured hereby, together with interest thereon, at the time and in the
manner provided in the Note.
<PAGE>

          (b)  Encumbrances.  The Shares are free of all other encumbrances,
               ------------
defenses and liens, and Pledgor will not further encumber the Shares without the
prior written consent of Pledgee.

          (c)  Margin Regulations.  In the event that Pledgee's Common Stock
               ------------------
is now or later becomes margin-listed by the Federal Reserve Board and Pledgee
is classified as a "lender" within the meaning of the regulations under Part 207
of Title 12 of the Code of Federal Regulations ("Regulation U"), Pledgor agrees
to cooperate with Pledgee in making any amendments to the Note or providing any
additional collateral as may be necessary to comply with such regulations.

     3.   Voting Rights.  During the term of this pledge and so long as all
          -------------
payments of principal and interest are made as they become due under the terms
of the Note, Pledgor shall have the right to vote all of the Shares pledged
hereunder.

     4.   Stock Adjustments.  In the event that during the term of the pledge
           -----------------
any stock dividend, reclassification, readjustment or other changes are declared
or made in the capital structure of Pledgee, all new, substituted and additional
shares or other securities issued by reason of any such change shall be
delivered to and held by the Pledgee under the terms of this Security Agreement
in the same manner as the Shares originally pledged hereunder. In the event of
substitution of such securities, Pledgor, Pledgee and Pledgeholder shall
cooperate and execute such documents as are reasonable so as to provide for the
substitution of such Collateral and, upon such substitution, references to
"Shares" in this Security Agreement shall include the substituted shares of
capital stock of Pledgor as a result thereof.

     5.   Options and Rights.  In the event that, during the term of this
          ------------------
pledge, subscription Options or other rights or options shall be issued in
connection with the pledged Shares, such rights, Options and options shall be
the property of Pledgor and, if exercised by Pledgor, all new stock or other
securities so acquired by Pledgor as it relates to the pledged Shares then held
by Pledgeholder shall be immediately delivered to Pledgeholder, to be held under
the terms of this Security Agreement in the same manner as the Shares pledged.

     6.   Default.  Pledgor shall be deemed to be in default of the Note and of
          -------
this Security Agreement in the event:

          (a)  Payment of principal or interest on the Note shall be delinquent
for a period of 10 days or more; or

          (b)  Pledgor fails to perform any of the covenants set forth in the
Option or contained in this Security Agreement for a period of 10 days after
written notice thereof from Pledgee.

          In the case of an event of Default, as set forth above, Pledgee shall
have the right to accelerate payment of the Note upon notice to Pledgor, and
Pledgee shall thereafter be entitled to pursue its remedies under the California
Commercial Code.

                                      -2-
<PAGE>

     7.   Release of Collateral.  Subject to any applicable contrary rules under
          ---------------------
Regulation G, there shall be released from this pledge a portion of the pledged
Shares held by Pledgeholder hereunder upon payments of the principal of the
Note.  The number of the pledged Shares which shall be released shall be that
number of full Shares which bears the same proportion to the initial number of
Shares pledged hereunder as the payment of principal bears to the initial full
principal amount of the Note.

     8.   Withdrawal or Substitution of Collateral.  Pledgor shall not sell,
          ----------------------------------------
withdraw, pledge, substitute or otherwise dispose of all or any part of the
Collateral without the prior written consent of Pledgee.

     9.   Term.  The within pledge of Shares shall continue until the payment of
          ----
all indebtedness secured hereby, at which time the remaining pledged stock shall
be promptly delivered to Pledgor, subject to the provisions for prior release of
a portion of the Collateral as provided in paragraph 7 above.

     10.  Insolvency.  Pledgor agrees that if a bankruptcy or insolvency
          ----------
proceeding is instituted by or against it, or if a receiver is appointed for the
property of Pledgor, or if Pledgor makes an assignment for the benefit of
creditors, the entire amount unpaid on the Note shall become immediately due and
payable, and Pledgee may proceed as provided in the case of default.

     11.  Pledgeholder Liability.  In the absence of willful or gross
          ----------------------
negligence, Pledgeholder shall not be liable to any party for any of his acts,
or omissions to act, as Pledgeholder.

     12.  Invalidity of Particular Provisions.  Pledgor and Pledgee agree that
          -----------------------------------
the enforceability or invalidity of any provision or provisions of this Security
Agreement shall not render any other provision or provisions herein contained
unenforceable or invalid.

     13.  Successors or Assigns.  Pledgor and Pledgee agree that all of the
          ---------------------
terms of this Security Agreement shall be binding on their respective successors
and assigns, and that the term "Pledgor" and the term "Pledgee" as used herein
shall be deemed to include, for all purposes, the respective designees,
successors, assigns, heirs, executors and administrators.

     14.  Governing Law.  This Security Agreement shall be interpreted and
          -------------
governed under the internal substantive laws, but not the choice of law rules,
of California.

                                      -3-
<PAGE>

     IN WITNESS WHEREOF, the parties hereto have executed this Agreement as of
the day and year first above written.

"PLEDGOR"                     _________________________________________
                              Signature

                              _________________________________________
                              Print Name

                              Address:   ______________________________

                                         ______________________________

"PLEDGEE"                     NUMERICAL TECHNOLOGIES, INC.
                              a California corporation

                              _________________________________________
                              Signature

                              _________________________________________
                              Print Name

                              _________________________________________
                              Title

"PLEDGEHOLDER"                _________________________________________
                              Secretary of Numerical Technologies, Inc.

                                      -4-
<PAGE>

                                   EXHIBIT C
                                   ---------

                                     NOTE

$_______________                                  San Jose, California

                                                  __________________, _____

     FOR VALUE RECEIVED, _____________________ promises to pay to Numerical
Technologies, Inc., a California corporation (the "Company"), or order, the
principal sum of _______________________ ($_____________), together with
interest on the unpaid principal hereof from the date hereof at the rate of
_______________ percent (____%) per annum, compounded semiannually.

     Principal and interest shall be due and payable on _______________, _____.
Payment of principal and interest shall be made in lawful money of the United
States of America.

     The undersigned may at any time prepay all or any portion of the
principal or interest owing hereunder.

     This Note is subject to the terms of the Option, dated as of
________________. This Note is secured in part by a pledge of the Company's
Common Stock under the terms of a Security Agreement of even date herewith and
is subject to all the provisions thereof.

     The holder of this Note shall have full recourse against the undersigned,
and shall not be required to proceed against the collateral securing this Note
in the event of default.

     In the event the undersigned shall cease to be an employee, director or
consultant of the Company for any reason, this Note shall, at the option of the
Company, be accelerated, and the whole unpaid balance on this Note of principal
and accrued interest shall be immediately due and payable.

     Should any action be instituted for the collection of this Note, the
reasonable costs and attorneys' fees therein of the holder shall be paid by the
undersigned.

                                            ____________________________________

                                            ____________________________________
<PAGE>

                         NUMERICAL TECHNOLOGIES, INC.

                                2000 STOCK PLAN

                    NOTICE OF GRANT OF STOCK PURCHASE RIGHT

     Unless otherwise defined herein, the terms defined in the Plan shall have
the same defined meanings in this Notice of Grant.

     [Grantee's Name and Address]

     You have been granted the right to purchase Common Stock of the Company,
subject to the Company's Repurchase Option and your ongoing status as a Service
Provider (as described in the Plan and the attached Restricted Stock Purchase
Agreement), as follows:

     Grant Number                       _________________________

     Date of Grant                      _________________________

     Price Per Share                    $________________________

     Total Number of Shares Subject     _________________________
      to This Stock Purchase Right

     Expiration Date:                   _________________________

     YOU MUST EXERCISE THIS STOCK PURCHASE RIGHT BEFORE THE EXPIRATION DATE OR
IT WILL TERMINATE AND YOU WILL HAVE NO FURTHER RIGHT TO PURCHASE THE SHARES. By
your signature and the signature of the Company's representative below, you and
the Company agree that this Stock Purchase Right is granted under and governed
by the terms and conditions of the 2000 Stock Plan and the Restricted Stock
Purchase Agreement, attached hereto as Exhibit A-1, both of which are made a
part of this document. You further agree to execute the attached Restricted
Stock Purchase Agreement as a condition to purchasing any shares under this
Stock Purchase Right.

GRANTEE:                                NUMERICAL TECHNOLOGIES, INC.

________________________________        _____________________________________
Signature                               By

________________________________        _____________________________________
Print Name                              Title
<PAGE>

                                  EXHIBIT A-1
                                  -----------

                         NUMERICAL TECHNOLOGIES, INC.

                                2000 STOCK PLAN

                      RESTRICTED STOCK PURCHASE AGREEMENT

     Unless otherwise defined herein, the terms defined in the Plan shall have
the same defined meanings in this Restricted Stock Purchase Agreement.

     WHEREAS the Purchaser named in the Notice of Grant, (the "Purchaser") is a
Service Provider, and the Purchaser's continued participation is considered by
the Company to be important for the Company's continued growth; and

     WHEREAS in order to give the Purchaser an opportunity to acquire an equity
interest in the Company as an incentive for the Purchaser to participate in the
affairs of the Company, the Administrator has granted to the Purchaser a Stock
Purchase Right subject to the terms and conditions of the Plan and the Notice of
Grant, which are incorporated herein by reference, and pursuant to this
Restricted Stock Purchase Agreement (the "Agreement").

     NOW THEREFORE, the parties agree as follows:

     1.   Sale of Stock.  The Company hereby agrees to sell to the Purchaser and
          -------------
the Purchaser hereby agrees to purchase shares of the Company's Common Stock
(the "Shares"), at the per Share purchase price and as otherwise described in
the Notice of Grant.

     2.   Payment of Purchase Price.  The purchase price for the Shares may be
          -------------------------
paid by delivery to the Company at the time of execution of this Agreement of
cash, a check, or some combination thereof.

     3.   Repurchase Option.
          -----------------

          (a)  In the event the Purchaser ceases to be a Service Provider for
any or no reason (including death or disability) before all of the Shares are
released from the Company's Repurchase Option (see Section 4), the Company
shall, upon the date of such termination (as reasonably fixed and determined by
the Company) have an irrevocable, exclusive option (the "Repurchase Option") for
a period of ninety (90) days from such date to repurchase up to that number of
shares which constitute the Unreleased Shares (as defined in Section 4) at the
original purchase price per share (the "Repurchase Price"). The Repurchase
Option shall be exercised by the Company by delivering written notice to the
Purchaser or the Purchaser's executor (with a copy to the Escrow Holder) AND, at
the Company's option, (i) by delivering to the Purchaser or the Purchaser's
executor a check in the amount of the aggregate Repurchase Price, or (ii) by
canceling an amount of the Purchaser's
<PAGE>

indebtedness to the Company equal to the aggregate Repurchase Price, or (iii) by
a combination of (i) and (ii) so that the combined payment and cancellation of
indebtedness equals the aggregate Repurchase Price. Upon delivery of such notice
and the payment of the aggregate Repurchase Price, the Company shall become the
legal and beneficial owner of the Shares being repurchased and all rights and
interests therein or relating thereto, and the Company shall have the right to
retain and transfer to its own name the number of Shares being repurchased by
the Company.

          (b)  Whenever the Company shall have the right to repurchase Shares
hereunder, the Company may designate and assign one or more employees, officers,
directors or shareholders of the Company or other persons or organizations to
exercise all or a part of the Company's purchase rights under this Agreement and
purchase all or a part of such Shares.  If the Fair Market Value of the Shares
to be repurchased on the date of such designation or assignment (the "Repurchase
FMV") exceeds the aggregate Repurchase Price of such Shares, then each such
designee or assignee shall pay the Company cash equal to the difference between
the Repurchase FMV and the aggregate Repurchase Price of such Shares.

     4.   Release of Shares From Repurchase Option.
          ----------------------------------------

          (a)  The Company's repurchase option shall lapse at the rate
determined by the Administrator.

          (b)  Any of the Shares that have not yet been released from the
Repurchase Option are referred to herein as "Unreleased Shares."

          (c)  The Shares that have been released from the Repurchase Option
shall be delivered to the Purchaser at the Purchaser's request (see Section 6).

     5.   Restriction on Transfer.  Except for the escrow described in Section
          -----------------------
6 or the transfer of the Shares to the Company or its assignees contemplated by
this Agreement, none of the Shares or any beneficial interest therein shall be
transferred, encumbered or otherwise disposed of in any way until such Shares
are released from the Company's Repurchase Option in accordance with the
provisions of this Agreement, other than by will or the laws of descent and
distribution.

     6.   Escrow of Shares.
          ----------------

          (a)  To ensure the availability for delivery of the Purchaser's
Unreleased Shares upon repurchase by the Company pursuant to the Repurchase
Option, the Purchaser shall, upon execution of this Agreement, deliver and
deposit with an escrow holder designated by the Company (the "Escrow Holder")
the share certificates representing the Unreleased Shares, together with the
stock assignment duly endorsed in blank, attached hereto as Exhibit A-2. The
Unreleased Shares and stock assignment shall be held by the Escrow Holder,
pursuant to the Joint Escrow Instructions of the Company and Purchaser attached
hereto as Exhibit A-3, until such time as the Company's Repurchase Option
expires. As a further condition to the Company's obligations under this
Agreement, the Company may require the spouse of Purchaser, if any, to execute
and deliver to the Company the Consent of Spouse attached hereto as Exhibit A-4.

                                      -2-
<PAGE>

          (b)  The Escrow Holder shall not be liable for any act it may do or
omit to do with respect to holding the Unreleased Shares in escrow while acting
in good faith and in the exercise of its judgment.

          (c)  If the Company or any assignee exercises the Repurchase Option
hereunder, the Escrow Holder, upon receipt of written notice of such exercise
from the proposed transferee, shall take all steps necessary to accomplish such
transfer.

          (d)  When the Repurchase Option has been exercised or expires
unexercised or a portion of the Shares has been released from the Repurchase
Option, upon request the Escrow Holder shall promptly cause a new certificate to
be issued for the released Shares and shall deliver the certificate to the
Company or the Purchaser, as the case may be.

          (e)  Subject to the terms hereof, the Purchaser shall have all the
rights of a shareholder with respect to the Shares while they are held in
escrow, including without limitation, the right to vote the Shares and to
receive any cash dividends declared thereon. If, from time to time during the
term of the Repurchase Option, there is (i) any stock dividend, stock split or
other change in the Shares, or (ii) any merger or sale of all or substantially
all of the assets or other acquisition of the Company, any and all new,
substituted or additional securities to which the Purchaser is entitled by
reason of the Purchaser's ownership of the Shares shall be immediately subject
to this escrow, deposited with the Escrow Holder and included thereafter as
"Shares" for purposes of this Agreement and the Repurchase Option.

     7.   Legends.  The share certificate evidencing the Shares, if any,  issued
          -------
hereunder shall be endorsed with the following legend (in addition to any legend
required under applicable state securities laws):

          THE SHARES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO CERTAIN
RESTRICTIONS UPON TRANSFER AND RIGHTS OF REPURCHASE AS SET FORTH IN AN AGREEMENT
BETWEEN THE COMPANY AND THE SHAREHOLDER, A COPY OF WHICH IS ON FILE WITH THE
SECRETARY OF THE COMPANY.

     8.   Adjustment for Stock Split.  All references to the number of Shares
          --------------------------
and the purchase price of the Shares in this Agreement shall be appropriately
adjusted to reflect any stock split, stock dividend or other change in the
Shares that may be made by the Company after the date of this Agreement.

     9.   Tax Consequences.  The Purchaser has reviewed with the Purchaser's own
          ----------------
tax advisors the federal, state, local and foreign tax consequences of this
investment and the transactions contemplated by this Agreement.  The Purchaser
is relying solely on such advisors and not on any statements or representations
of the Company or any of its agents.  The Purchaser understands that the
Purchaser (and not the Company) shall be responsible for the Purchaser's own tax
liability that may arise as a result of the transactions contemplated by this
Agreement.  The Purchaser understands that Section 83 of the Internal Revenue
Code of 1986, as amended (the "Code"), taxes as ordinary income the difference
between the purchase price for the Shares and the Fair Market Value of the

                                      -3-
<PAGE>

Shares as of the date any restrictions on the Shares lapse. In this context,
"restriction" includes the right of the Company to buy back the Shares pursuant
to the Repurchase Option. The Purchaser understands that the Purchaser may elect
to be taxed at the time the Shares are purchased rather than when and as the
Repurchase Option expires by filing an election under Section 83(b) of the Code
with the IRS within 30 days from the date of purchase. The form for making this
election is attached as Exhibit A-5 hereto.

          THE PURCHASER ACKNOWLEDGES THAT IT IS THE PURCHASER'S SOLE
RESPONSIBILITY AND NOT THE COMPANY'S TO FILE TIMELY THE ELECTION UNDER SECTION
83(b), EVEN IF THE PURCHASER REQUESTS THE COMPANY OR ITS REPRESENTATIVES TO MAKE
THIS FILING ON THE PURCHASER'S BEHALF.

     10.  General Provisions.
          ------------------

          (a)  This Agreement shall be governed by the internal substantive
laws, but not the choice of law rules of California. This Agreement, subject to
the terms and conditions of the Plan and the Notice of Grant, represents the
entire agreement between the parties with respect to the purchase of the Shares
by the Purchaser. Subject to Section 15(c) of the Plan, in the event of a
conflict between the terms and conditions of the Plan and the terms and
conditions of this Agreement, the terms and conditions of the Plan shall
prevail. Unless otherwise defined herein, the terms defined in the Plan shall
have the same defined meanings in this Agreement.

          (b)  Any notice, demand or request required or permitted to be given
by either the Company or the Purchaser pursuant to the terms of this Agreement
shall be in writing and shall be deemed given when delivered personally or
deposited in the U.S. mail, First Class with postage prepaid, and addressed to
the parties at the addresses of the parties set forth at the end of this
Agreement or such other address as a party may request by notifying the other in
writing.

               Any notice to the Escrow Holder shall be sent to the Company's
address with a copy to the other party hereto.

          (c)  The rights of the Company under this Agreement shall be
transferable to any one or more persons or entities, and all covenants and
agreements hereunder shall inure to the benefit of, and be enforceable by the
Company's successors and assigns. The rights and obligations of the Purchaser
under this Agreement may only be assigned with the prior written consent of the
Company.

          (d)  Either party's failure to enforce any provision of this Agreement
shall not in any way be construed as a waiver of any such provision, nor prevent
that party from thereafter enforcing any other provision of this Agreement. The
rights granted both parties hereunder are cumulative and shall not constitute a
waiver of either party's right to assert any other legal remedy available to it.

          (e)  The Purchaser agrees upon request to execute any further
documents or instruments necessary or desirable to carry out the purposes or
intent of this Agreement.

                                      -4-
<PAGE>

          (f)  PURCHASER ACKNOWLEDGES AND AGREES THAT THE VESTING OF SHARES
PURSUANT TO SECTION 4 HEREOF IS EARNED ONLY BY CONTINUING SERVICE AS A SERVICE
PROVIDER AT THE WILL OF THE COMPANY (AND NOT THROUGH THE ACT OF BEING HIRED OR
PURCHASING SHARES HEREUNDER). PURCHASER FURTHER ACKNOWLEDGES AND AGREES THAT
THIS AGREEMENT, THE TRANSACTIONS CONTEMPLATED HEREUNDER AND THE VESTING SCHEDULE
SET FORTH HEREIN DO NOT CONSTITUTE AN EXPRESS OR IMPLIED PROMISE OF CONTINUED
ENGAGEMENT AS A SERVICE PROVIDER FOR THE VESTING PERIOD, FOR ANY PERIOD, OR AT
ALL, AND SHALL NOT INTERFERE WITH PURCHASER'S RIGHT OR THE COMPANY'S RIGHT TO
TERMINATE PURCHASER'S RELATIONSHIP AS A SERVICE PROVIDER AT ANY TIME, WITH OR
WITHOUT CAUSE.

     By Purchaser's signature below, Purchaser represents that he or she is
familiar with the terms and provisions of the Plan, and hereby accepts this
Agreement subject to all of the terms and provisions thereof. Purchaser has
reviewed the Plan and this Agreement in their entirety, has had an opportunity
to obtain the advice of counsel prior to executing this Agreement and fully
understands all provisions of this Agreement. Purchaser agrees to accept as
binding, conclusive and final all decisions or interpretations of the
Administrator upon any questions arising under the Plan or this Agreement.
Purchaser further agrees to notify the Company upon any change in the residence
indicated in the Notice of Grant.

DATED:  __________________________

PURCHASER:                              NUMERICAL TECHNOLOGIES, INC.

__________________________________      ___________________________________
Signature                               By

__________________________________      ___________________________________
Print Name                              Title

                                      -5-
<PAGE>

                                  EXHIBIT A-2
                                  -----------

                     ASSIGNMENT SEPARATE FROM CERTIFICATE

     FOR VALUE RECEIVED I, _______________________________, hereby sell, assign
and transfer unto (__________) shares of the Common Stock of Numerical
Technologies, Inc., standing in my name of the books of said corporation
represented by Certificate No. _____ herewith and do hereby irrevocably
constitute and appoint _____________________________________________ to transfer
the said stock on the books of the within named corporation with full power of
substitution in the premises.

     This Stock Assignment may be used only in accordance with the Restricted
Stock Purchase Agreement (the "Agreement") between________________________ and
the undersigned dated ______________, _____.

Dated: _______________, _____
                                        Signature:______________________________

     INSTRUCTIONS: Please do not fill in any blanks other than the signature
line. The purpose of this assignment is to enable the Company to exercise the
Repurchase Option, as set forth in the Agreement, without requiring additional
signatures on the part of the Purchaser.
<PAGE>

                                  EXHIBIT A-3
                                  -----------

                           JOINT ESCROW INSTRUCTIONS

                                                        __________________, ____

Corporate Secretary
Numerical Technologies, Inc.
70 West Plumeria Drive
San Jose, CA 95134

Dear Corporate Secretary:

     As Escrow Agent for both Numerical Technologies, Inc., a California
corporation (the "Company"), and the undersigned purchaser of stock of the
Company (the "Purchaser"), you are hereby authorized and directed to hold the
documents delivered to you pursuant to the terms of that certain Restricted
Stock Purchase Agreement ("Agreement") between the Company and the undersigned,
in accordance with the following instructions:

     1.   In the event the Company and/or any assignee of the Company (referred
to collectively as the "Company") exercises the Company's Repurchase Option set
forth in the Agreement, the Company shall give to Purchaser and you a written
notice specifying the number of shares of stock to be purchased, the purchase
price, and the time for a closing hereunder at the principal office of the
Company. Purchaser and the Company hereby irrevocably authorize and direct you
to close the transaction contemplated by such notice in accordance with the
terms of said notice.

     2.   At the closing, you are directed (a) to date the stock assignments
necessary for the transfer in question, (b) to fill in the number of shares
being transferred, and (c) to deliver same, together with the certificate
evidencing the shares of stock to be transferred, to the Company or its
assignee, against the simultaneous delivery to you of the purchase price (by
cash, a check, or some combination thereof) for the number of shares of stock
being purchased pursuant to the exercise of the Company's Repurchase Option.

     3.   Purchaser irrevocably authorizes the Company to deposit with you any
certificates evidencing shares of stock to be held by you hereunder and any
additions and substitutions to said shares as defined in the Agreement.
Purchaser does hereby irrevocably constitute and appoint you as Purchaser's
attorney-in-fact and agent for the term of this escrow to execute with respect
to such securities all documents necessary or appropriate to make such
securities negotiable and to complete any transaction herein contemplated,
including but not limited to the filing with any applicable state blue sky
authority of any required applications for consent to, or notice of transfer of,
the securities.
<PAGE>

Subject to the provisions of this paragraph 3, Purchaser shall exercise all
rights and privileges of a shareholder of the Company while the stock is held by
you.

     4.   Upon written request of the Purchaser, but no more than once per
calendar year, unless the Company's Repurchase Option has been exercised, you
shall deliver to Purchaser a certificate or certificates representing so many
shares of stock as are not then subject to the Company's Repurchase Option.
Within 90 days after Purchaser ceases to be a Service Provider, you shall
deliver to Purchaser a certificate or certificates representing the aggregate
number of shares held or issued pursuant to the Agreement and not purchased by
the Company or its assignees pursuant to exercise of the Company's Repurchase
Option.

     5.   If at the time of termination of this escrow you should have in your
possession any documents, securities, or other property belonging to Purchaser,
you shall deliver all of the same to Purchaser and shall be discharged of all
further obligations hereunder.

     6.   Your duties hereunder may be altered, amended, modified or revoked
only by a writing signed by all of the parties hereto.

     7.   You shall be obligated only for the performance of such duties as are
specifically set forth herein and may rely and shall be protected in relying or
refraining from acting on any instrument reasonably believed by you to be
genuine and to have been signed or presented by the proper party or parties.
You shall not be personally liable for any act you may do or omit to do
hereunder as Escrow Agent or as attorney-in-fact for Purchaser while acting in
good faith, and any act done or omitted by you pursuant to the advice of your
own attorneys shall be conclusive evidence of such good faith.

     8.   You are hereby expressly authorized to disregard any and all warnings
given by any of the parties hereto or by any other person or corporation,
excepting only orders or process of courts of law, and are hereby expressly
authorized to comply with and obey orders, judgments or decrees of any court.
In case you obey or comply with any such order, judgment or decree, you shall
not be liable to any of the parties hereto or to any other person, firm or
corporation by reason of such compliance, notwithstanding any such order,
judgment or decree being subsequently reversed, modified, annulled, set aside,
vacated or found to have been entered without jurisdiction.

     9.   You shall not be liable in any respect on account of the identity,
authorities or rights of the parties executing or delivering or purporting to
execute or deliver the Agreement or any documents or papers deposited or called
for hereunder.

     10.  You shall not be liable for the outlawing of any rights under the
statute of limitations with respect to these Joint Escrow Instructions or any
documents deposited with you.

     11.  You shall be entitled to employ such legal counsel and other experts
as you may deem necessary properly to advise you in connection with your
obligations hereunder, may rely upon the advice of such counsel, and may pay
such counsel reasonable compensation therefor.

                                      -2-
<PAGE>

     12.  Your responsibilities as Escrow Agent hereunder shall terminate if you
shall cease to be an officer or agent of the Company or if you shall resign by
written notice to each party.  In the event of any such termination, the Company
shall appoint a successor Escrow Agent.

     13.  If you reasonably require other or further instruments in connection
with these Joint Escrow Instructions or obligations in respect hereto, the
necessary parties hereto shall join in furnishing such instruments.

     14.  It is understood and agreed that should any dispute arise with respect
to the delivery and/or ownership or right of possession of the securities held
by you hereunder, you are authorized and directed to retain in your possession
without liability to anyone all or any part of said securities until such
disputes shall have been settled either by mutual written agreement of the
parties concerned or by a final order, decree or judgment of a court of
competent jurisdiction after the time for appeal has expired and no appeal has
been perfected, but you shall be under no duty whatsoever to institute or defend
any such proceedings.

     15.  Any notice required or permitted hereunder shall be given in writing
and shall be deemed effectively given upon personal delivery or upon deposit in
the United States Post Office, by registered or certified mail with postage and
fees prepaid, addressed to each of the other parties thereunto entitled at the
following addresses or at such other addresses as a party may designate by ten
days' advance written notice to each of the other parties hereto.

          COMPANY:            Numerical Technologies, Inc.
                              70 West Plumeria Drive
                              San Jose, CA 95134

          PURCHASER:          _________________________________
                              _________________________________
                              _________________________________

          ESCROW AGENT:       Corporate Secretary
                              Numerical Technologies, Inc.
                              70 West Plumeria Drive
                              San Jose, CA 95134

     16.  By signing these Joint Escrow Instructions, you become a party hereto
only for the purpose of said Joint Escrow Instructions; you do not become a
party to the Agreement.

                                      -3-
<PAGE>

     17.  This instrument shall be binding upon and inure to the benefit of the
parties hereto, and their respective successors and permitted assigns.

     18.  These Joint Escrow Instructions shall be governed by, and construed
and enforced in accordance with, the internal substantive laws, but not the
choice of law rules, of California.

                                        Very truly yours,

                                        NUMERICAL TECHNOLOGIES, INC.

                                        _____________________________________
                                        By

                                        _____________________________________
                                        Title

                                        PURCHASER:

                                        _____________________________________
                                        Signature

                                        _____________________________________
                                        Print Name

ESCROW AGENT:

___________________________________
Corporate Secretary

                                      -4-
<PAGE>

                                  EXHIBIT A-4
                                  -----------

                               CONSENT OF SPOUSE

     I, _________________________, spouse of ________________________, have read
and approve the foregoing Restricted Stock Purchase Agreement (the "Agreement").
In consideration of the Company's grant to my spouse of the right to purchase
shares of Numerical Technologies, Inc., as set forth in the Agreement, I hereby
appoint my spouse as my attorney-in-fact in respect to the exercise of any
rights under the Agreement and agree to be bound by the provisions of the
Agreement insofar as I may have any rights in said Agreement or any shares
issued pursuant thereto under the community property laws or similar laws
relating to marital property in effect in the state of our residence as of the
date of the signing of the foregoing Agreement.

Dated: ____________________, _____

                                        ________________________________________
                                        Signature of Spouse
<PAGE>

                                  EXHIBIT A-5
                                  -----------

                         ELECTION UNDER SECTION 83(b)
                     OF THE INTERNAL REVENUE CODE OF 1986

The undersigned taxpayer hereby elects, pursuant to Section 83(b) of the
Internal Revenue Code of 1986, as amended, to include in taxpayer's gross income
for the current taxable year the amount of any compensation taxable to taxpayer
in connection with his or her receipt of the property described below:

1.   The name, address, taxpayer identification number and taxable year of the
     undersigned are as follows:

     NAME:                    TAXPAYER:                     SPOUSE:

     ADDRESS:

     IDENTIFICATION NO.:      TAXPAYER:                     SPOUSE:

     TAXABLE YEAR:

2.   The property with respect to shares (the "Shares") of the which the
     election is made is Common Stock of Numerical described as follows:
     Technologies, Inc. (the "Company").

3.   The date on which the property was transferred is:_________________, ____.

4.   The property is subject to the following restrictions:

     The Shares may be repurchased by the Company, or its assignee, upon certain
     events.  This right lapses with regard to a portion of the Shares based on
     the continued performance of services by the taxpayer over time.

5.   The fair market value at the time of transfer, determined without regard to
     any restriction other than a restriction which by its terms will never
     lapse, of such property is: $__________.

6.   The amount (if any) paid for such property is:  $___________.

The undersigned has submitted a copy of this statement to the person for whom
the services were performed in connection with the undersigned's receipt of the
above-described property.  The transferee of such property is the person
performing the services in connection with the transfer of said property.

The undersigned understands that the foregoing election may not be revoked
--------------------------------------------------------------------------
except with the consent of the Commissioner.
-------------------------------------------

Dated:    _________________, ____       _______________________________________
                                        Taxpayer

The undersigned spouse of taxpayer joins in this election.

Dated:    _________________, ____       _______________________________________
                                        Spouse of Taxpayer

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