TRƯNG THCS HP THNH
ĐỀ THI CHỌN HỌC SINH GIỎI
MÔN: TOÁN 6
(Không kể thời gian giao đề)
Câu 1. a. Chøng minh sè say ®©y lµ sè chÝnh ph¬ng.
A = 44…4 x 88…8
≥
n ch÷ sè 4 (n-1) ch÷ sè 8
!"#$%"&
Câu 2. (2 điểm): So sánh
&
$%!
!
'
#(
$%
)
#
#*
$%
Câu 3. (1 điểm): +,-.***
"'
#)
+/0-1,21,'
Câu 4. 34-5678#921:8!;$<=>71,
&21:8*;$<=>71,!21:8;$<=>
1,*?04-56%,@
Câu 5: +,#-232+1-3.!A-+.#A3+.#3-232+8B
%CD@E,@
FG&HIC#-232+,6=:?08GJ,,4B
K18GJ&&,4BJLG,HIC#-232+
,6=:
Câu 6:M+FKN&"#$%!OL%CP%,8
@6,C,JQ)1*CD
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M3KR?MSTK?MUKVMSWK
X?YKVVZ[\R]+E^_^\`\
HƯỚNG DẪN CHẤM THI CHỌN HSG
MÔN: TOÁN 6
Bài Đáp án Điểm
Câu 1
(2điểm)
)#("))a)'
.)#(")a)'
.)'a)'
.')a).'.'
2'
2'
2'
' ) !
) * * ) ##
' ) !
) * * ##
!
) ## #
B
−
= × − × ×
÷
−
= × − ×
÷
= × × =
2'
2'
2'
# ) )
)' '( (& '(
) ' ' ( ( & ' (
# #
) ( ( !
C = + + +×××+
= + + +×××+
÷
= − + − + − +×××+ −
÷
= − = =
÷
2'
2'
Câu 2
(2điểm)
&
.#
#
.#
##
!
!
.#
)
!
.#
#
E#
##
b#
#
&
b!
!
2'
2'
2'
'
#(
.'
#
.'
)
.
.
E'
b
'
#(
b
)
2'
2'
2'
#
#*
c#
)
.#
)
.!
$%
b
.
.
E
b!
b#
#*
2'
2'
Câu 3
(1điểm)
***
.*
'
#)
.
***
"'
#)
.*".
E-8d L%-$%-'
2'
2'
2'
2'
Câu 4
(1,5điểm)
Ve4-56L%-
E-a!&⇒-aa&&⇒-a&
E-a*!⇒-aa!!⇒-a!
E-a*⇒-aa**⇒-a*
2'
2'
2'
R,8-aL%7N&2!2*$%-L%8#9**c-c
Q8J$%=>-a.')
f6 ''
2'
2'
2'
Câu 5
(3,5điểm)
8!"#.#≠#-3"-+≠3+
⇒-CDg93$%+
a3g=;hi6=>3CDg9-$%+A
+CDg9-$%3
6,#-A3A+CD8%,g9jL4
⇒-232+CDB%
2'
2'
2'
2'
2'
FG&HIC#-232+,6=:8G
J&"#.HI
a+e6,28$:*jL4
=>*,4BL%=1$:GJ2=>*
,4B
K=1k,4B=>lLmn,8,4B$o=>
L%
*
*
=
,4B
1?C1Ld,4BL%*,2'
2'
2'
2'
2'
aVe$o=>&&,4BL%
8a.&&2=>.(f$%,L%'& 2'