FIDELITY MONEY MARKET TRUST
NSAR-B, 1998-05-29
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<PAGE>      PAGE  1
000 B000000 03/31/98
000 C000000 0000276516
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 A
001 A000000 FIDELITY MONEY MARKET TRUST
001 B000000 811-2861
001 C000000 6037917486
002 A000000 1201 MARKET STREET, P.O. BOX 1347
002 B000000 WILMINGTON
002 C000000 DE
002 D010000 19899
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  1
007 C010100  1
007 C010200  2
007 C010300  3
007 C020300 RATED MONEY MARKET
007 C030300 Y
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 FIDELITY MANAGEMENT & RESEARCH COMPANY (FMR)
008 B00AA01 A
008 C00AA01 801-7884
008 D01AA01 BOSTON
008 D02AA01 MA
008 D03AA01 02109
008 A00AA02 FIDELITY INVESTMENTS MONEY MANAGEMENT, INC.
008 B00AA02 S
008 C00AA02 801-34590
008 D01AA02 MERRIMACK
008 D02AA02 NH
008 D03AA02 03054
011 A00AA01 FIDELITY DISTRIBUTORS CORPORATION
011 B00AA01 8-8775
011 C01AA01 BOSTON
011 C02AA01 MA
011 C03AA01 02109
<PAGE>      PAGE  2
012 A00AA01 FIDELITY INVESTMENTS INSTIT. OPERATIONS CO.
012 B00AA01 84-00216
012 C01AA01 BOSTON
012 C02AA01 MA
012 C03AA01 02109
013 A00AA01 COOPERS & LYBRAND LLP
013 B01AA01 BOSTON
013 B02AA01 MA
013 B03AA01 02109
014 A00AA01 FIDELITY DISTRIBUTORS CORPORATION
014 B00AA01 8-8775
014 A00AA02 FIDELITY BROKERAGE SERVICES, INC.
014 B00AA02 8-23292
014 A00AA03 NATIONAL FINANCIAL SERVICES CORP.
014 B00AA03 8-26740
014 A00AA04 FIDELITY BROKERAGE SERVICES JAPAN, LLC
014 B00AA04 8-00000
015 A00AA01 BANK OF NEW YORK
015 B00AA01 C
015 C01AA01 NEW YORK
015 C02AA01 NY
015 C03AA01 10286
015 E01AA01 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00  230
019 C00AA00 FIDELITYZZ
020 C000001      0
020 C000002      0
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000        0
022 A000001 GOLDMAN SACHS & CO.
022 B000001 13-5108880
022 C000001    581883
022 D000001     63842
022 A000002 MORGAN (J.P.) SECURITIES, INC.
022 B000002 13-3224016
022 C000002    323038
022 D000002     25828
022 A000003 GENERAL ELECTRIC CREDIT
022 B000003 13-1500700
022 C000003    338165
022 D000003         0
022 A000004 DEUTSCHE BANK
<PAGE>      PAGE  3
022 B000004 13-2730828
022 C000004    199274
022 D000004      3000
022 A000005 LEHMAN BROTHERS
022 B000005 13-2518466
022 C000005    179201
022 D000005     16990
022 A000006 MERRILL LYNCH, INC.
022 B000006 13-5674085
022 C000006    136058
022 D000006     34951
022 A000007 CHASE SECURITIES, INC.
022 B000007 13-3112953
022 C000007    162204
022 D000007      7993
022 A000008 BARCLAYS BANK
022 B000008 00-0000000
022 C000008    138963
022 D000008     11998
022 A000009 CANADIAN IMPERIAL BANK OF COMMERCE
022 B000009 00-0000000
022 C000009    108934
022 D000009         0
022 A000010 SUNTRUST BANK, ATLANTA
022 B000010 00-0000000
022 C000010     93000
022 D000010         0
023 C000000   13892450
023 D000000     332410
026 A000000 Y
026 B000000 Y
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 Y
026 G010000 N
026 G020000 N
026 H000000 Y
027  000000 Y
029  00AA00 N
030 A00AA00      0
030 B00AA00  0.00
030 C00AA00  0.00
031 A00AA00      0
031 B00AA00      0
032  00AA00      0
033  00AA00      0
034  00AA00 N
035  00AA00      0
036 B00AA00      0
037  00AA00 N
<PAGE>      PAGE  4
038  00AA00      0
039  00AA00 N
040  00AA00 Y
041  00AA00 Y
045  00AA00 Y
046  00AA00 N
047  00AA00 Y
048  00AA00  0.200
048 A01AA00        0
048 A02AA00 0.000
048 B01AA00        0
048 B02AA00 0.000
048 C01AA00        0
048 C02AA00 0.000
048 D01AA00        0
048 D02AA00 0.000
048 E01AA00        0
048 E02AA00 0.000
048 F01AA00        0
048 F02AA00 0.000
048 G01AA00        0
048 G02AA00 0.000
048 H01AA00        0
048 H02AA00 0.000
048 I01AA00        0
048 I02AA00 0.000
048 J01AA00        0
048 J02AA00 0.000
048 K01AA00        0
048 K02AA00 0.000
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 Y
054 D00AA00 Y
054 E00AA00 Y
054 F00AA00 Y
054 G00AA00 Y
054 H00AA00 Y
054 I00AA00 N
054 J00AA00 Y
054 K00AA00 Y
054 L00AA00 Y
054 M00AA00 Y
054 N00AA00 Y
054 O00AA00 Y
055 A00AA00 N
055 B00AA00 N
056  00AA00 Y
057  00AA00 N
066 A00AA00 N
067  00AA00 N
<PAGE>      PAGE  5
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 Y
077 B000000 Y
077 C000000 Y
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
080 A00AA00 AMERICAN INTERNATIONAL SPECIALTY LINES
080 B00AA00 FEDERAL INSURANCE COMPANY
080 C00AA00   220000
081 A00AA00 Y
081 B00AA00 229
082 A00AA00 N
082 B00AA00        0
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 N
086 A010000      0
086 A020000      0
086 B010000      0
086 B020000      0
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
024  000300 Y
025 A000301 DEUTSCH BANK
025 B000301 13-2730828
<PAGE>      PAGE  6
025 C000301 D
025 D000301   10000
025 A000302 MERRILL LYNCH, INC.
025 B000302 13-5674085
025 C000302 D
025 D000302    4000
025 A000303 GOLDMAN SACHS & CO.
025 B000303 13-5108880
025 C000303 D
025 D000303   14981
025 A000304 DELETE
025 D000304       0
025 A000305 DELETE
025 D000305       0
025 A000306 DELETE
025 D000306       0
025 A000307 DELETE
025 D000307       0
025 A000308 DELETE
025 D000308       0
028 A010300    316666
028 A020300      1579
028 A030300         0
028 A040300    237149
028 B010300    254929
028 B020300      1648
028 B030300         0
028 B040300    321253
028 C010300    367477
028 C020300      1627
028 C030300         0
028 C040300    328620
028 D010300    355263
028 D020300      2022
028 D030300         0
028 D040300    308629
028 E010300    343587
028 E020300      1955
028 E030300         0
028 E040300    369397
028 F010300    249812
028 F020300      1867
028 F030300         0
028 F040300    293657
028 G010300   1887734
028 G020300     10698
028 G030300         0
028 G040300   1858705
028 H000300         0
042 A000300   0
042 B000300   0
<PAGE>      PAGE  7
042 C000300 100
042 D000300   0
042 E000300   0
042 F000300   0
042 G000300   0
042 H000300   0
043  000300    107
044  000300      0
049  000300 N
050  000300 N
051  000300 N
052  000300 N
053 A000300 Y
053 B000300 Y
053 C000300 N
058 A000300 N
059  000300 Y
060 A000300 Y
060 B000300 Y
061  000300  1000000
062 A000300 Y
062 B000300   0.0
062 C000300   1.3
062 D000300   2.8
062 E000300   0.0
062 F000300   5.0
062 G000300  37.5
062 H000300   0.0
062 I000300  40.5
062 J000300   0.0
062 K000300   0.0
062 L000300  12.9
062 M000300   0.0
062 N000300   0.0
062 O000300   0.0
062 P000300   0.0
062 Q000300   0.0
062 R000300   0.0
063 A000300  50
063 B000300  0.0
064 A000300 Y
064 B000300 N
070 A010300 Y
070 A020300 Y
070 B010300 N
070 B020300 N
070 C010300 N
070 C020300 N
070 D010300 N
070 D020300 N
070 E010300 N
<PAGE>      PAGE  8
070 E020300 N
070 F010300 N
070 F020300 N
070 G010300 N
070 G020300 N
070 H010300 N
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
070 J020300 Y
070 K010300 Y
070 K020300 N
070 L010300 Y
070 L020300 Y
070 M010300 N
070 M020300 N
070 N010300 Y
070 N020300 N
070 O010300 Y
070 O020300 N
070 P010300 Y
070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
070 R020300 N
071 A000300         0
071 B000300         0
071 C000300         0
071 D000300    0
072 A000300 12
072 B000300    22590
072 C000300        0
072 D000300        0
072 E000300        0
072 F000300     1408
072 G000300        0
072 H000300        0
072 I000300       33
072 J000300        9
072 K000300        0
072 L000300        0
072 M000300        1
072 N000300       22
072 O000300        0
072 P000300        0
072 Q000300       21
072 R000300       24
072 S000300        0
072 T000300      158
<PAGE>      PAGE  9
072 U000300        0
072 V000300        0
072 W000300        1
072 X000300     1677
072 Y000300      732
072 Z000300    21645
072AA000300        0
072BB000300       16
072CC010300        0
072CC020300        0
072DD010300    17673
072DD020300     3971
072EE000300        0
073 A010300   0.0000
073 A020300   0.0000
073 B000300   0.0000
073 C000300   0.0000
074 A000300        1
074 B000300    11150
074 C000300   389198
074 D000300        0
074 E000300        0
074 F000300        0
074 G000300        0
074 H000300        0
074 I000300        0
074 J000300       55
074 K000300        0
074 L000300     2448
074 M000300        0
074 N000300   402852
074 O000300        0
074 P000300       57
074 Q000300        0
074 R010300        0
074 R020300        0
074 R030300        0
074 R040300      267
074 S000300        0
074 T000300   402528
074 U010300   303901
074 U020300    98726
074 V010300     0.00
074 V020300     0.00
074 W000300   0.9998
074 X000300      740
074 Y000300        0
075 A000300   396622
075 B000300        0
076  000300     0.00
<PAGE>      PAGE  10
SIGNATURE   JYHN H. COSTELLO                             
TITLE       ASSISTANT TREASURER 
 


<TABLE> <S> <C>

<ARTICLE> 6
 

<CIK>     0000276516


<NAME>      Fidelity Money Market Trust


<SERIES>

        <NUMBER>        31


        <NAME>      Rated Money Market I

<MULTIPLIER>    1,000


       

<S>

<C>

<PERIOD-TYPE>

YEAR


<FISCAL-YEAR-END>

MAR-31-1998


<PERIOD-END>

MAR-31-1998


<INVESTMENTS-AT-COST>

400,348


<INVESTMENTS-AT-VALUE>

400,348


<RECEIVABLES>

2,503


<ASSETS-OTHER>

1


<OTHER-ITEMS-ASSETS>

0


<TOTAL-ASSETS>

402,852


<PAYABLE-FOR-SECURITIES>

0


<SENIOR-LONG-TERM-DEBT>

0


<OTHER-ITEMS-LIABILITIES>

324


<TOTAL-LIABILITIES>

324


<SENIOR-EQUITY>

0


<PAID-IN-CAPITAL-COMMON>

402,559


<SHARES-COMMON-STOCK>

303,901


<SHARES-COMMON-PRIOR>

312,968


<ACCUMULATED-NII-CURRENT>

0


<OVERDISTRIBUTION-NII>

0


<ACCUMULATED-NET-GAINS>

(31)


<OVERDISTRIBUTION-GAINS>

0


<ACCUM-APPREC-OR-DEPREC>

0


<NET-ASSETS>

402,528


<DIVIDEND-INCOME>

0


<INTEREST-INCOME>

22,590


<OTHER-INCOME>

0


<EXPENSES-NET>

946


<NET-INVESTMENT-INCOME>

21,644


<REALIZED-GAINS-CURRENT>

(15)


<APPREC-INCREASE-CURRENT>

0


<NET-CHANGE-FROM-OPS>

21,629


<EQUALIZATION>

0


<DISTRIBUTIONS-OF-INCOME>

17,673


<DISTRIBUTIONS-OF-GAINS>

0


<DISTRIBUTIONS-OTHER>

0


<NUMBER-OF-SHARES-SOLD>

2,739,638


<NUMBER-OF-SHARES-REDEEMED>

2,763,814


<SHARES-REINVESTED>

15,109


<NET-CHANGE-IN-ASSETS>

58,819


<ACCUMULATED-NII-PRIOR>

0


<ACCUMULATED-GAINS-PRIOR>

(84)


<OVERDISTRIB-NII-PRIOR>

0


<OVERDIST-NET-GAINS-PRIOR>

0


<GROSS-ADVISORY-FEES>

1,408


<INTEREST-EXPENSE>

0


<GROSS-EXPENSE>

1,677


<AVERAGE-NET-ASSETS>

322,018


<PER-SHARE-NAV-BEGIN>

1.000


<PER-SHARE-NII>

 .055


<PER-SHARE-GAIN-APPREC>

0


<PER-SHARE-DIVIDEND>

 .055


<PER-SHARE-DISTRIBUTIONS>

0


<RETURNS-OF-CAPITAL>

0


<PER-SHARE-NAV-END>

1.000


<EXPENSE-RATIO>

 .20


<AVG-DEBT-OUTSTANDING>

0


<AVG-DEBT-PER-SHARE>

0



        



</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
 

<CIK>     0000276516


<NAME>      Fidelity Money Market Trust


<SERIES>

        <NUMBER>        32


        <NAME>      Rated Money Market II

<MULTIPLIER>    1,000


       

<S>

<C>

<PERIOD-TYPE>

YEAR


<FISCAL-YEAR-END>

MAR-31-1998


<PERIOD-END>

MAR-31-1998


<INVESTMENTS-AT-COST>

400,348


<INVESTMENTS-AT-VALUE>

400,348


<RECEIVABLES>

2,503


<ASSETS-OTHER>

1


<OTHER-ITEMS-ASSETS>

0


<TOTAL-ASSETS>

402,852


<PAYABLE-FOR-SECURITIES>

0


<SENIOR-LONG-TERM-DEBT>

0


<OTHER-ITEMS-LIABILITIES>

324


<TOTAL-LIABILITIES>

324


<SENIOR-EQUITY>

0


<PAID-IN-CAPITAL-COMMON>

402,559


<SHARES-COMMON-STOCK>

23,327


<SHARES-COMMON-PRIOR>

14,170


<ACCUMULATED-NII-CURRENT>

0


<OVERDISTRIBUTION-NII>

0


<ACCUMULATED-NET-GAINS>

(31)


<OVERDISTRIBUTION-GAINS>

0


<ACCUM-APPREC-OR-DEPREC>

0


<NET-ASSETS>

402,528


<DIVIDEND-INCOME>

0


<INTEREST-INCOME>

22,590


<OTHER-INCOME>

0


<EXPENSES-NET>

946


<NET-INVESTMENT-INCOME>

21,644


<REALIZED-GAINS-CURRENT>

(15)


<APPREC-INCREASE-CURRENT>

0


<NET-CHANGE-FROM-OPS>

21,629


<EQUALIZATION>

0


<DISTRIBUTIONS-OF-INCOME>

1,512


<DISTRIBUTIONS-OF-GAINS>

0


<DISTRIBUTIONS-OTHER>

0


<NUMBER-OF-SHARES-SOLD>

478,273


<NUMBER-OF-SHARES-REDEEMED>

470,567


<SHARES-REINVESTED>

1,451


<NET-CHANGE-IN-ASSETS>

58,819


<ACCUMULATED-NII-PRIOR>

0


<ACCUMULATED-GAINS-PRIOR>

(84)


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0


<OVERDIST-NET-GAINS-PRIOR>

0


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0


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28,168


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 .053


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0


<PER-SHARE-DIVIDEND>

 .053


<PER-SHARE-DISTRIBUTIONS>

0


<RETURNS-OF-CAPITAL>

0


<PER-SHARE-NAV-END>

1.000


<EXPENSE-RATIO>

35


<AVG-DEBT-OUTSTANDING>

0


<AVG-DEBT-PER-SHARE>

0



        



</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
 

<CIK>     0000276516


<NAME>      Fidelity Money Market Trust


<SERIES>

        <NUMBER>        33


        <NAME>      Rated Money Market III

<MULTIPLIER>    1,000


       

<S>

<C>

<PERIOD-TYPE>

YEAR


<FISCAL-YEAR-END>

MAR-31-1998


<PERIOD-END>

MAR-31-1998


<INVESTMENTS-AT-COST>

400,348


<INVESTMENTS-AT-VALUE>

400,348


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2,503


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1


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0


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402,852


<PAYABLE-FOR-SECURITIES>

0


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0


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324


<TOTAL-LIABILITIES>

324


<SENIOR-EQUITY>

0


<PAID-IN-CAPITAL-COMMON>

402,559


<SHARES-COMMON-STOCK>

75,399


<SHARES-COMMON-PRIOR>

16,655


<ACCUMULATED-NII-CURRENT>

0


<OVERDISTRIBUTION-NII>

0


<ACCUMULATED-NET-GAINS>

(31)


<OVERDISTRIBUTION-GAINS>

0


<ACCUM-APPREC-OR-DEPREC>

0


<NET-ASSETS>

402,528


<DIVIDEND-INCOME>

0


<INTEREST-INCOME>

22,590


<OTHER-INCOME>

0


<EXPENSES-NET>

946


<NET-INVESTMENT-INCOME>

21,644


<REALIZED-GAINS-CURRENT>

(15)


<APPREC-INCREASE-CURRENT>

0


<NET-CHANGE-FROM-OPS>

21,629


<EQUALIZATION>

0


<DISTRIBUTIONS-OF-INCOME>

2,459


<DISTRIBUTIONS-OF-GAINS>

0


<DISTRIBUTIONS-OTHER>

0


<NUMBER-OF-SHARES-SOLD>

527,119


<NUMBER-OF-SHARES-REDEEMED>

470,680


<SHARES-REINVESTED>

2,305


<NET-CHANGE-IN-ASSETS>

58,819


<ACCUMULATED-NII-PRIOR>

0


<ACCUMULATED-GAINS-PRIOR>

(84)


<OVERDISTRIB-NII-PRIOR>

0


<OVERDIST-NET-GAINS-PRIOR>

0


<GROSS-ADVISORY-FEES>

1,408


<INTEREST-EXPENSE>

0


<GROSS-EXPENSE>

1,677


<AVERAGE-NET-ASSETS>

46,435


<PER-SHARE-NAV-BEGIN>

1.000


<PER-SHARE-NII>

 .052


<PER-SHARE-GAIN-APPREC>

0


<PER-SHARE-DIVIDEND>

 .052


<PER-SHARE-DISTRIBUTIONS>

0


<RETURNS-OF-CAPITAL>

0


<PER-SHARE-NAV-END>

1.000


<EXPENSE-RATIO>

45


<AVG-DEBT-OUTSTANDING>

0


<AVG-DEBT-PER-SHARE>

0



        



</TABLE>


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