EX-99.77B ACCT LTTR

Report of Independent Registered Public Accounting Firm

To the Shareholders and
The Board of Trustees of
Federated Duration Plus Core Fund:

In planning and performing our audits of the financial
statements of Federated Duration Plus Core
Fund as of and for the year ended August 31, 2010, in
accordance with the standards of the Public
Company Accounting Oversight Board (United States), we
considered the Funds' internal control
over financial reporting, including controls over
safeguarding securities, as a basis for designing
our auditing procedures for the purpose of expressing our
opinion on the financial statements and
to comply with the requirements of Form N-SAR, but not for
the purpose of expressing an
opinion on the effectiveness of the Funds' internal control
over financial reporting. Accordingly,
we express no such opinion.

Management of the Funds is responsible for establishing
and maintaining effective internal
control over financial reporting. In fulfilling this
responsibility, estimates and judgments by
management are required to assess the expected benefits
and related costs of controls. A
company's internal control over financial reporting is a
process designed to provide reasonable
assurance regarding the reliability of financial reporting
and the preparation of financial
statements for external purposes in accordance with generally
accepted accounting principles. A
company's internal control over financial reporting includes
those policies and procedures that (1)
pertain to the maintenance of records that, in reasonable
detail, accurately and fairly reflect the
transactions and dispositions of the assets of the company;
(2) provide reasonable assurance that
transactions are recorded as necessary to permit preparation
of financial statements in accordance
with generally accepted accounting principles, and that
receipts and expenditures of the company
are being made in accordance with authorizations of
management and Trustees of the company;
and (3) provide reasonable assurance regarding prevention
or timely detection of the unauthorized
acquisition, use, or disposition of the company's assets
that could have a material affect on the
financial statements.

Because of its inherent limitations, internal control
over financial reporting may not prevent or
detect misstatements. Also, projections of any evaluation
of effectiveness to future periods are
subject to the risk that controls may become inadequate
because of changes in conditions, or that
the degree of compliance with the policies or
procedures may deteriorate.

A deficiency in internal control over financial
reporting exists when the design or operation of a
control does not allow management or employees, in the
normal course of performing their
assigned functions, to prevent or detect misstatements on
a timely basis. A material weakness is a
deficiency, or a combination of deficiencies, in internal
control over financial reporting, such that
there is a reasonable possibility that a material
misstatement of the Funds' annual or interim
financial statements will not be prevented or
detected on a timely basis.

Our consideration of the Funds' internal control
over financial reporting was for the limited
purpose described in the first paragraph and would
not necessarily disclose all deficiencies in
internal control that might be material weaknesses
under standards established by the Public
Company Accounting Oversight Board (United States).
However, we noted no deficiencies in the
Funds' internal control over financial reporting and
its operation, including controls over
safeguarding securities that we consider to be a material
weakness as defined above as of August
31, 2010.

This report is intended solely for the information
and use of management and the Board of
Trustees of Federated Duration Plus Core Fund and the
Securities and Exchange Commission and
is not intended to be and should not be used by anyone
other than those specified parties.



Boston, Massachusetts
October 25, 2010

EX-99.77E LEGAL

SUB-ITEM 77-E   LEGAL PROCEEDINGS
Since October 2003, Federated and related entities
(collectively, "Federated") and various
Federated-sponsored mutual funds (Funds) have been
named as defendants in several class action
lawsuits now pending in the United States District
Court for the District of Maryland. The lawsuits were
purportedly filed on behalf of people who purchased,
owned and/or redeemed shares of certain Funds
during specified periods beginning November 1, 1998.
The suits are generally similar in alleging that
Federated engaged in illegal and improper trading
practices including market timing and late trading in
concert with certain institutional traders, which allegedly
caused financial injury to the mutual fund
shareholders. Federated without admitting the validity
of any claim has reached a preliminary settlement
with the Plaintiffs in these cases. Any settlement would
have to be approved by the Court.
     Federated entities have also been named as defendants
in several additional lawsuits that are now
pending in the United States District Court for the
Western District of Pennsylvania. These lawsuits have
been consolidated into a single action alleging excessive
advisory fees involving one of the Funds.
     The Board of the Funds retained the law firm of
Dickstein Shapiro LLP to represent the Funds in
each of the lawsuits described in the preceding two
paragraphs. Federated and the Funds, and their
respective counsel, have been defending this litigation,
and none of the Funds remains a defendant in
any of the lawsuits. Additional lawsuits based upon similar
allegations may be filed in the future. The
potential impact of these lawsuits, all of which seek
monetary damages, attorneys' fees and expenses,
and future potential similar suits is uncertain. Although
we do not believe that these lawsuits will have a
material adverse effect on the Funds, there can be no
assurance that these suits, ongoing adverse
publicity and/or other developments resulting from the
allegations in these matters will not result in
increased redemptions, or reduced sales of shares of the
Funds or other adverse consequences for the
Funds.

	- 2 -

EX-99.77Q1 OTHR EXHB

ITEM 77Q(a) - COPIES OF ALL MATERIAL
AMENDMENTS TO THE
REGISTRANT'S CHARTER OR BY-LAWS



Federated Core Trust

Amendment No. 8
to the Declaration of Trust
dated August 21, 1996

	This Declaration of Trust is
amended as follows:

	Strike Section 5 of Article III
and replace it with the following:

	Section 5.  Establishment and Designation
of Series.  Without limiting the
authority of the Trustees set forth in Article XIII,
Section 7, inter alia, to establish and
designate any additional Series or to modify the
rights and preferences of any existing
Series, the Series shall be, and are established
and designated as,

High-Yield Bond Portfolio
Federated Mortgage Core Portfolio
Federated Inflation-Protected
Securities Core Fund
Federated Duration Plus Core Fund
Federated Bank Loan Core Fund

		The undersigned hereby certify
that the above Amendment is a true and
correct Amendment to the Declaration of Trust,
as adopted by the Board of Trustees at a
meeting on the 13th day of August, 2010, to
become effective on the 13th day of August, 2010.

	WITNESS the due execution hereof
this 13th day of August, 2010.


/s/ John F. Donahue
/s/ J. Christopher Donahue
John F. Donahue
J. Christopher Donahue


/s/ John T. Conroy, Jr.
/s/ Charles F. Mansfield, Jr.
John T. Conroy, Jr.
Charles F. Mansfield, Jr.


/s/ Nicholas P. Constantakis
/s/ R. James Nicholson
Nicholas P. Constantakis
R. James Nicholson


/s/ John F. Cunningham
/s/ Thomas M. O'Neill
John F. Cunningham
Thomas M. O'Neill


/s/ Maureen Lally-Green
/s/ John S. Walsh
Maureen Lally-Green
John S. Walsh


/s/ Peter E. Madden
/s/ James F. Will
Peter E. Madden
James F. Will