Tài liệu bồi dưỡng học sinh giỏi toán lớp 4






 ! "
#$%&' ()*+%,-
./'01(233456673
./'0.(276787673

9*
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

 !"#$"%&'()*+,#-'+'.'/012'"+,#3
4"56"789+':(; <=%&'()*+,#-'+'.'+'>"?/#@5%:7+A3
0'<'B785A 7C+D/E7-FG'B7+#1A#51H+I/J=/7='J'K"'L+,#
-'+8MJ" KH%&'()*N+$+778'%:7+AH7)(" H+)O++,#
1+P+D<Q'F'7)D+,#-'+G+H'.'3
816"789+%'!-1;G+078+G+.'+R7+'B"-N73S 8T7/1-U
NV+'K779+#@57+$ #0'1<=##%S#+W+" ++,#-'+

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X

3YZ[\]^_
3`a
3\F7U+'!+.+T7bc
X3+0#N-F7U+'!JQ+T73
d35'-F7U+'!J'!7'B+OGe/+5"O<f3
g35'-F#+hi+1j#JklJ'!7'B+OHGe/+5"XO<f3

m3<'B7##-F781+K7+S+AH)n'75(Pc#+R-FJ=bcHHXHdH33oH
piK7+S+A#1,'J=+K#O-Fcl3
81+K7+S+Ab/)n'O<f2/E7+==1N7+9JS7+=+/E7O<f2
+=78!N3
q3N7+%'"('r##-F7U+'!78!7'5-F3
cXdgmqsopcttt3
s3=<=JQ3
53=O<fH+=#+W#H+=78?/+D7+=+JQO<f3
=+9H+=#+W#+9H+=78?/+9+D7+=+JQ+93
=78'K"H+=#+W#78'K"H+=78?/78'K"+D7+=+JQ78'K"3
,#-F

'B7-F Q78'K" Q+9 QO<f
=
78?/
78'K"
=
#+W#
78'K"
=
78'K"
=
78?/
+9
=
#+W#
+9
=
+9
=

78?/
=
#+W#
=
O
<f
578?//)n'
+5'  78'K"  -"
78?/  7/
/)O'  =
+5'78?/
dX3qoc3Xcc d  X q o c X c c
+u  78?/
#+u  /)O'
78'K"
: 78?/J'+
7/78'K"?/
78?/  +5'
/)O'  %5
+9  %F
78?//)n'
 +Sve7b'78f#@5/w'#+R-F+W7+"E#<=1<f78u#@5N781-FN3
'B7/w'-F7+=+7Cb
Ybosdgmxoc3cccys3cccydccygcym
Chúc các em chăm ngoan học giỏi!
d

xovc3cccysv3cccydvccygvcym
o3\1-+-F7U+'!b
5381X-F7U+'!b

\F=1#N+'>"#+R-F+O7+9JQ+O
B"+5'-F#N-F#+R-F%I+5"7+9-1-+7z#j#+R-F-2#P/E7+=
G7z78'-5+:'3
%3+Sve7b
81({ -F7U+'!bcHHXHdHgHmHqHsHoHpHt3
\F78)Q#%e+O-F-5"H-F-5"JQ+O-F78)Q#3
p3\F+.+T7H-FJQ+T7b
53\F+.+T7#N3
X#+R-FJ=bci#N#+R-Fcl
d#+R-FJ=bcci#NX#+R-Fcl
tttttt3
#+R-FJ=
  
c33333333333c
|#+R-Fc
%3\FJQ+T7#N3
#+R-FJ=-Fbp
X#+R-FJ=-Fbpp
d#+R-FJ=-Fbppp
ttttt3
#+R-FJ=
  
p3333333333333pp
#+R-Fp
c381({ -F7U+'!H#-F#+hJ;'B/E7-FGkH8&'J;'B/E7-F#+h3
9<S B"b
Y{ %}7$"7z-FJki+1j##+hl<=GB77+L#J=-F#+hi+1j#Jkl7+9-FJ)D##
-FJk%I-FJ)D##-F#+h3
Y{ -F%}7$"7z-FJki+1j##+hl<=GB77+L#J=-FJki+1j##+hl7+9-FJ)D
##-FJki+1j##+hl+'>"+O##-F#+hi+1j#JklJ=-F3

3~•3
='b81({ -F7U+'!b
53 N%51+'!"-F#N/E7#+R-F€+5'#+R-F€%5#+R-F€
%3 N%51+'!"-F#+h#N/E7#+R-F€%51+'!"-FJk#N/E7#+R-F€%51
+'!"-F#+R#N+5'#+R-F€
='Xb'B7/w'-F-5"7+=+7Cb
53dgm•smqocs•qpXdms%35%#(H/6•5%#(‚+3
='db!"'78f#@5#+R-Fm781/w'-F-5"3
53smdqo•%3msqso•#3spogmqs
ƒ/+{ ,###-F78!<=#+1%'B7/E7#+R-F2##-F7+"E#+==1€
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d3•L7,+A-F3
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+'57˜-F<=/Ÿ"-F#+1-FQ3
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g34" &/Ÿ"-F##+A-Fb
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T 7˜-F<=/Ÿ"-F#@5+A-F7++5'+A<Q'/Ÿ"-F#@5+A-F7++T73
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cba qsddXs ++
='Xbim'/l
+1({ -Foq•o•sq•33333333%'B7-F#"F'#P#@5({ -FJ=-F7U+'!+.+T7#+'5
#+1m)D#X()3.'b
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%3 Y{ -F78!#N7T7#:%51+'!"#+R-F€
#3 u++5+7C#@5({ -F78!€
='dim'/l3
8"%9+#E-F%'2H%'v5+<=%'<=#@5Y•J=X<'!3\F%'2u7+O
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='gig'/lb†E7/:+T7+9+#+R+S7#N#+'>"8E%I˜5#+'>"(='3B"
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53 .'('K7u#+/:+T7J=%51+'!"/e7<"0€
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+9+= T0'('K7u#++9+G'53i<š+9+<=!"####+#+'5l
d3.],Q3(.]**X*X,*b`N*XM22acM22M
='ig'/lb+07u+'78f%'"7+#+{ 79/##+-1-+8&''>(T"…HxH„
<=1078F#+1+DJV3
53
cba dXddX ++

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yXdgm
%3gqvqdmvmp
#3
ppm
ppX

pso
psm
='Xig'/lb
+1({ -FbcHcHHcHcHHcHcH333333i}7$"J=-F7'BBJ=+5'-Fc8&'J;'B-F
<33333<3333333<l.'b
53 \F+;7+dJ=-F+5 -Fc€
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#+R-Fc€
='dbim'/l
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='gig'/l
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#3 }7+)7+B=1G+.'J{+u<:'i<š+9+<=!"####+l3
4.],Q(.]**X*X,*b`N*XM22MUM223
='ig'/lb'>(T"…•x•„7+u#++D<=1078F3
53Xmygvppodcygvpps
%3
aab mm +
y
bcaa ++ mm

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J=JQ+T7€
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53 dvXsyXqvdmydvg|d3
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