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Exhibit 31.1




CERTIFICATIONS UNDER SECTION 302 OF SARBANES/ OXLEY ACT

I, David H. McCormick, certify that:



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| | 1. | I have reviewed this quarterly report on Form 10-Q of
    FreeMarkets, Inc.;                                                                                                                                                                                                                                                                      
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| | 2. | Based on my knowledge, this quarterly report does not contain
    any untrue statement of a material fact or omit to state a
    material fact necessary to make the statements made, in light of
    the circumstances under which such statements were made, not
    misleading with respect to the period covered by this quarterly
    report;
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| | 3. | Based on my knowledge, the financial statements, and other
    financial information included in this quarterly report, fairly
    present in all material respects the financial condition,
    results of operations and cash flows of the registrant as of and
    for the periods presented in this quarterly report;                         
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| | 4. | The registrants other certifying officer and I are
    responsible for establishing and maintaining disclosure controls
    and procedures (as defined in Exchange Act Rules 13a-14 and
    15d-14) for the registrant, and we have:                                                                                                             



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| | a) | designed such disclosure controls and procedures to ensure that
    material information relating to the registrant, including its
    consolidated subsidiaries, is made known to us by others within
    those entities, particularly during the period in which this
    quarterly report is being prepared;
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| | b) | evaluated the effectiveness of the registrants disclosure
    controls and procedures as of a date within 90 days prior
    to the filing date of this quarterly report (the
    Evaluation Date); and                                                                                                      
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| | c) | presented in this quarterly report our conclusions about the
    effectiveness of the disclosure controls and procedures based on
    our evaluation as of the Evaluation Date;                                                                                                                                



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| | 5. | The registrants other certifying officer and I have
    disclosed, based on our most recent evaluation, to the
    registrants auditors and the audit committee of the board
    of directors (or persons performing the equivalent function):



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| | a) | all significant deficiencies in the design or operation of
    internal controls that could adversely affect the
    registrants ability to record, process, summarize and
    report financial data and have identified for the
    registrants auditors any material weaknesses in internal
    controls; and
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| | b) | any fraud, whether or not material, that involves management or
    other employees who have a significant role in the
    registrants internal controls; and                                                                                                                                                   



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| | 6. | The registrants other certifying officer and I have
    indicated in this quarterly report whether or not there were
    significant changes in internal controls or in other factors
    that could significantly affect internal controls subsequent to
    the date of our most recent evaluation, including any corrective
    actions with regard to significant deficiencies and material
    weaknesses.



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| | Date: April 29, 2004

/s/ DAVID H. MCCORMICK