Be)
GIAa
DlJC
vA BAa
TAD
TRUONG D~I HQC FPT
DREAM OF INNOVATION
DE
THI TUYEN SINH
).
"'-
DE SO 001
Thiri gian lam bai thi: 120 phut
S6
bao danh:
D D D D
Luu
y
quan trong
Chi duoc mil a€ khi duac phep cua gidm thi
Phiiu tra
ltri
chi duoc coi la h9'P
I¢ khi nop
cimg vai a€ thi
HUONG DAN LAM BAI
PhAn 1 g6m 20 cau la cac cau hoi kiem tra ky nang tinh toan
PhAn 2 g6m 25 cau (tir cau 21 d~n cau 45). M6i cau hoi se co 2 dir kien di kern
(1) va (2). C6 5 phtrong an tra loi cho truce chung cho t~t ca cac cau nhir sau:
(A) Dung mot minh dii kien
(1)

Y
=
256 thi gia tri cua xy bang
(A) 2006
(B)
48
(C)
36
(D)
10
(E)
4
i
cah
2. Ham s6 nao duoi day co d6 th] nhan true Oy lam true d6i xirng?
(A) y
=
X2 + x;
(B) Y
=
x
2
sinx;
(C) y
=
xcosx;
(D) Y
=
xsinx;
(E)!y

i
s-1 s+1
(C) ~
2s+1
(D) ~
2s-1
-(E) ~
3s+ 1
Ca~ 6. Neu trung binh cong cua 5 s6 nguyen lien tiep bang 12 thi t6ng cua s6 nho
nh4t va s6 Ian nhftt bang bao nhieu?
(Ay 24
(B)
14
(C):
12
(D) 11
(E),IO
Call 7. Neu a, b, c la cac s6 thuc duong thi a +_1-1 bang
b+-
e
,.
(AY
a+b
, e
(Bj ae +be + 1
e
(C) abe+b+e
!
be
(D) a+b

, 1 36,
Cau
10.
Neu log,
k
=
-6
thi
og6
k
bang
(A) -8 (B) 8
(C) 6
(D) -4
(E) - 6
Cau
11.
N€u cir y giaythl may bay bay diroc x/6 darn thi err z phut may bay bay duoc
bao
nhieu dam?
(xyz
:f
0)
(A) xy/6z
(B) xz/6y
(C) xyz/6
(D) l Oxy/z
(E) 10XZ/y
Cau 12. Cho X lit mQt s6 nguyen duong vi€t trong h~ th~p phan, Y lit t6ng cac chtr s6
cua X va Z lit t6ng cac chir s6 cua Y. Co bao nhieu s6 nguyen duong X thoa man di€u

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3
(Cj: 6:45
(D) 7:15
(E)i8:10
Cap 17. NSu x ~ 8 va y ~ 3 thi diSu nao sau day chac chan dung?
(A) x + y~ 5
(B) x + y
<
11
(C)x-y ~ 5
(D)
x-
y ~5
(E)!x -
y ~ 11
Cau 18. Ba g6c A, B, C cua tam giac ABC theo thir tv l~p thanh mot d.p s6 cong,
Di€u nao sau day chac chan dung?
(AY
A
<
60°.
(B)'B ~ 60°.
(C):
C ~ 60°.
(D) B

2°/
11
(D)
3
°/
11
(E), 5
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4
(A) Dung
mot
minh dCfki~n (1) la (fu (f~ c6 th~ tra I&i ceu Mi. nhU'flg dung mot minh dCfki~n (2) thi kMng (fu.
(8) Dung m(>tminh dCfki~n (2) la (fu (f~ c6 th~ tra I&i ceu Mi. nhU'flg dung m(>tminn dCfki~n (1) thi kMng d
u
.
(C) Phai dung
ca
2 dCfki~n (1) va (2) mai tra lai (fuqc ceu Mi. tach rifmg tung dCfki~n
se
kMng tra I&i
auoo.
(0)
Chi can dung m(>tdCfki~n bIlt ky trong 2 dCfki~n (fa cho cDng (fu (f~ tra lai aroc ceu Mi. .
(E) Dung
ca
2 dCfki~n (fa cho cDng kMng th~ tra lai (fU'qCcau Mi. .
Ph§n 2
Can 21

(2) b
=
2, c
=
4
Cau 25
Gia tr] cua x bang bao nhieu?
(1) x+2y=6
(2) 4y + 2x = 12
Can 26
Lap hQC
cua
co
giao
Lan c6 t6ng
cong
bao
nhieu hoc
sinh?
(1) Horn qua lap hoc co 14 hoc sinh
(2) Thong thuong thi m6i ngay co 2 hoc sinh 6m va khong di hoc
Cau 27
Co th€ k€t
luan
x
bang
3?
(1) X2
=
9

:(C) PMi dung c8 2 dCfki(jn (1)
va
(2) moi Ira I&i
duoc
C8UMi, lach rieng lung dCfki(jn se khOng Ira toi aU'()c.
:(D) Chi cen dung mol dCfki(jn b~1ky lrang 2 dCfki(jn aa cho cOng au afi tra toi aU'()CC8UMi.
;(E) Dung ca 2 dCfki(jn aa cho cOng khOng Ihfi Ira toi aooc ceu Mi.
Ca630
Giang Ian hon LQc 5 tuoi. 10 narn tnroc, Hoa Ian hon Minh 10tu6i. Hoi hien nay
Minh bao nhieu tuoi?
:(1) Hien nay tuoi Minh g~p3 Iftntu6i Giang.
1(2) LQc bay gio 5 tuoi.
Call 31
S&~i~n 3.850.000 d6ng diroc chia giira A, B va C. Ai Ia nguoi nhan diroc it nhat?
:(1) A nhan s&ti~n bang 2/9 tong s&ti~n ma B va C nhan. -
(2) B nhan s&ti~n bang 3/11 tong. s&ti~n ma A va C nhan.
Cau 32
n I~ s&
nguyen
duong.
Co th~
khang dinh
n(n
2
- 1) chia h€t cho 24?
:(1)
n chia h€t cho 3.
:(2)
n
la s&

50<!(o
ngiroi dan cua mQt thanh ph&co may tinh xach tay va may di~u hoa nhiet dQ.
Hal phan tram s&nguoi
cua
thanh ph& nay co may tinh xach tay ma khong co may
di~h hoa nhiet do. '
(I)
60% ngtroi
dan
trong
thanh
ph& co may
tinh xach
tay.
P)
70% ngiroi dan trong thanh ph& co may di~u hoa nhiet dQ.
Cab. 37
Cac tui xach I, II, III chira tong cong 10 qua bong. N€u m6i tui chira it nh~t 1 qua
bong thi m6i tui chira bao nhieu qua bong?
'(1) Tui I chira nhi~u hon
tui
III 5 qua.
(2) Tui II chira s&bong bang mQt 1lI1as&bong chira trong tui I.
cs
u
38
Cho biet (a+b)2 = 1 va
(a-br'
= 25, hay tim gia tri
cua

se
khOng tfa lai aooc.
(D)
Chi c~n dung mQt dO'ki~n bat
ky
tfong
2
dO'ki~n
(fa
cho cOng
(fu (f{j
tfa lai aooc cau Mi.
(E) Dung
ca
2 dO'ki~n
(fa
cho cOng khOng
tM
tfa lai
a(J'()C
ceu Mi.
(2) Gia tri cua a bang 2
Cau 39
Gia tr] cua X bang bao nhieu n6u X, Y la cac s6 nguyen dirong khac nhau c6 tich bang
30.· ,
(l)Xlfts6Ie
(2) X
>
Y
Cau 40

ca
S
s6
bang O.
Cau 44
S6 X c6 phai la s6 nguyen t6, bi6t r~ng X la s6 nguyen dirong?
(1)
X4
>
3000
(2)
X4
<
10000
Cau 45
N6u a + b +
C
= 30 thi gia tr] cua a bang bao nhieu?
(1) c
=
4a - b.
(2) Trung blnh cong cua b va c la 2a
"
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7
Ph~n 3

Z dong
Ca~ 48. N€u ta dong s6
hrong Ion
nhAt co th~ cac van cung mot
hie,
di€u nao sau day
bUQcphai dung?
(A)
R mer
(B) S mer
(C) T mer
,(D)
Z mer
I
(E) TAt ca cac van d€u dong
Cab 49 - 55
Dung 6 bai tho se duoc dang trong s6 tap chi sip xuAt ban. Ba bai tho F, H va L la cua
tac 19ia
0,
va ba bai con lai - R, S va T la cua tac gia W. M6i mot hili tho chi xuAt hien
dung 1 IAntrong tap chi, va cac bai tho se duoc dang ercac trang 10,"15, 20, 25, 30 va
35.:Thfr tIJ xuAt hien cua cac hili tho (tinh tir trang dfiu d€n trang cuoi) phai thoa man
cad di€u kien sau:
i •
i
- C~c bai tho ercac trang 10, 20 va 30 phai cung cua mot tac gia.
-H
phai xuAt hien
truce
T.

a
trang 15, bai tho nao duoi day
buoc
phai xu~t hien
a
trang
25?
(A) F
(B) H
(C) L
(D) R
(E) T
Cau 52. N~u mot bai tho cua tac gia 0 xu~t hien tren trang 10 thl C?P bai tho nao duoi
day thoa man di€u kien m6i mQt trong chung d€u
co
th€ xuat hien
a
trang 35?
(A) F
va
L
(B) F
va
R
(C) L
va
T
(D) R
va
S

trang 25, danh sach nao duoi day la danh sach t~t
ca:cac
bai tho
co
th€ xu~t hi~n
a
trang 20?
(A) R
(B) T
(C) R, S
(D) S, T
(E) R,
s,
T
Cau 56 - 61
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9
C6J loai trai cay - tao, cam va rn~n diroc d6ng g6i trong 4 thung dong kin, V6i rn6i
tra] cay, c6 dung 3 thung clura loai trai cay nay. M6i thung d€u duoc dan nhan ghi cac
loai trai cay ben trong thung d6. Tuy nhien, do nham lfin cua ngiroi dan nhan, c6 2
nhan dii bi d6i ch6 cho nhau, k~t qua la chi c6 2 nhan diroc dan dung, hai nhan con lai
bi dan
sai.
Va:k~t qua la cac thung diroc dan nhan nhir sau:
Th~ng 1: Tao va carn
Thong 2: Tao
va
rn~n
Th~ng 3: Carn va man

(E)' Thung 3 b] dan nhan sai
Cat. 58. Neu thung 1 duoc dan nhan dung, di€u nao sau day bUQCphai dung?
(A) Thung 2 khong clnra tao.
(B) Thung 2 khong chira cam.
(C):Thung 2 khong chira man.
(D) Thung 4 chira mot s6 qua tao.
(E) Thung 4 chira mot s6 qua man.
Call 59. N~u thung 1 va thung 4 la cac thung b] dan nhan sai, di€u nao sau day bUQC
phaidung?
(A) Thung 1 chira tAtca cac loai trai cay.
(B) Thung 2 chira tAt ca cac loai trai cay.
(c)
Thung 3 chira tAt ca cac loai trai cay.
(D)
Thung 3 khong chira earn.
(E)i ThlIng 3 khong chira man,
Cau 60. N~u thung 1 va thung 4 duoc dan nhan dung thi di€u nao sau day bUQCphai
dUr)g?
(A) Ca hai thung 1 va 2 d€u chira tao.
(B); Ca hai thung 1 va 2 d€u chira carn.
(C) Ca hai thung 1 va 3 d€u chira carn.
(D) Ca hai thung 2 va 3 d€u chira tao.
(EYCa hai thung 3 va 4 d€u clnra cam.
Cau 61. N~u ta bi~t rang chac chan thung 4 c6 chira it nhat la tao va cam thl di€u nao
sau day bUQCphai dung?
;
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10

(B) Nh6m 1: R, T, V; nh6m 2: S, W, X, Y
(C) Nh6m 1: T, V, X; nh6m 2: R, S, W, Y
(D) Nh6m 1: T, V, Y; nhorn 2: R, S, W, X
(E) Nh6m 1: T, W, Y; nh6m 2: R, S, V, X
Cau 63. N€u R 6 nh6m 2 thi hoc sinh nao duoi day cling phai
a
nh6m 2?
(A) S
(B) T
(C) V
(D) W
(E) Y
Cau 64. Neu W 6 nh6m 1 thi hoc sinh nao duoi day cling phai 6 nh6m I?
(A)R
(B) S
(C)T
(D) V
(E) Y
Cau 65. N€u T va Y 6 nh6m 1 thi di€u nao sau day phai dung?
(A) S cling nh6m voi V.
(B) S cling nh6m voi W.
(C) V cling nh6m voi R.
(D) W cling nh6m voi T.
(E) Y cling nh6m voi X.
Cau 66. N€u W cung nh6m voi T, m6i mot
CZlP
cac
hoc
sinh duoi day d€u co th€
6

1.
(B) So'
nh6rn
1.
(C):
TO'
nh6rn 1.
(D) W
a
nh6rn 2.
(E)! Y
a
nh6rn 2.
Cau 68. N€u
So'
nh6rn 1, di~u
nao
sau day phai dung?
(AYR
a
nh6rn
1.
(B)
TO'
nh6rn
1.
(C)
T
a
nh6rn 2.

T
Gifra R
va
U
Gi~aTvaP
Gitra P va S
Ngoai
ra, c6
mot
con
duong mot chieu gitra
P
va
N, chi cho
phep di
tir P d€n N.
Cac
con duong khong dt nhau, ngoai trir tai cac thanh ph6.
Kh9ng con
thanh
ph6
va
con dirong
nao khac
trong nhfrng
vung
Ian
can,
Ngiroi
di

M?
(A~ 2 (B) 3 (C) 4 (D) 5 (E) 6
r
CaO 71. N€u cay du giira M
va 0 b]
hong
nang khien
vi~c
di
qua
doan
duong nay
tro
nen khong the, ngiroi di xe dap se khong th~ di theo cac con duong tir
(A)N d€n M
(B)N
d€n
S
(C)Pd€nM
(D) P d€n
S
(E}Rd€n M
Cali 72. N€u nhu mot vu da
10'
lam t~c nghen mot chieu cua con dirong gifra R va T,
khien ta chi co th~ di duoc theo chieu tir R d€n T, ta v~n c6 th~ di bang xe dap tir P
d€n
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nhung
khong thS
di
d~n N
hoac U
(E) M, N, 0, R, S, T
va
U
Cau 73. Gia sir rang met Ian cua con
duong
tir
°
d~n R phai dong dS sua chira, do do
chi co thS di
chuyen
tirR d~n
0.
DS dam
bao khong anh
huang d~n giao thong - t~c
la
neu tnroc khi dong Ian dS sua chtra tir
X
co thS d~n
duoc
Y (trong do
X,
Y thuoc {M,
N,
0, P, R,

Cau 74. N~u
M
nAm
a
de)cao thftp
hon,
T nAm
a
de) cao cao
hon moi
thanh ph6 ~Mc
va ba thanh ph6 N, P, R cung narn
a
met de) cao, duong di tu U d~n S se dugc' rut
ngan neu ta xay dung me)t con
duong
2 chieu gitra (khong thay d6i de) cao suot doc
duang) ,
(A) R
va
N
(B) R
va
M
(C) P
va
M
(D) P
va
R

di€u kien sau:
F
cAn
duoc
x~p diroi
G
I hoac duoc
x~p
a
tAng ngay
tren M hoac
a
tAng ngay
duoi M
J
khong diroc x~p
a
tAng ngay tren M hoac ngay duoi M
K phai duoc
s~p
a
tAng 4
Cau 75. S~p x~p
nao
diroi day la chftp nhan diroc, trong do cac cong ty diroc li~~ke
theo thir W cac tAng diroc xep, tir 1 d~n 6?
(A) F, I, G, K, J, M
(B) G, I, M, K , F, J
(C)
J,

a
tAng 2.
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13
Ca~ 77. N~u M 6 t~ng 2, t~t ca cac di€u duoi day d€u co th€ dung, ngoai
trir
(A) F 6 t~ng 3.
(B) F 6 t~ng 5.
(C)
I
6 t~ng
1.
(D) J 6 t~ng 5.
(E)!J 6 dng
6
Can 78. N~u J 6 t~ng 3,
cap
cong ty
nao
duoi day
buoc
phai duoc x~p 6 hai t~ng k€
nhau?
(A) F
va
G
(B) F
va

(E)J
va
K
Cau 80.
N~u F 6 t~ng
5,
di€u
nao diroi
day
buoc phai
dung?
(A) I 6 t~ng 2.
(B):! 6t~ng 3.
(C);
J 6 dng
1.
(D) J 6 tAng 2.
(E}M
0'
tAng
3.
Cau 81. N~u F va I 6 hai t~ng k€ nhau, cap cong ty nao duoi day co th€
diroc
x~p 6
haitang k€ nhau?
(A) F
va
J
(B):FvaM
(C}GvaM

Lan.
Chau khong
th€
cung
ti€u ban voi Danh.
Cau 82.
N~u
Chau la thanh vien
ti€u ban
X
thi di€u
nao
duoi day buoc
phai
dung
(A) An
la thanh vien
ti€u ban
X.
(B) Blnh
la thanh vien
ti6u ban
Y.
(C) Danh la
thanh vien
ti6u ban
Y.
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hoac
Danh trong mQt ti~u ban thi
di€u
nao duoi
day
khong th~
dung? :
(A) An
cung tieu
ban
voi
Danh.
(B)
Binh cung
ti~u ban
voi Chau.
(C) Chau cung
ti~u ban
voi
MaL
(D) Danh
cung
ti~u ban
voi
MaL
(E)
Lan
cung
ti~u ban
voi

Mai, Nga
phai la 6
ti~u ban
Y.
(C) Blnh va
Nga
phai
lam
6
ti~u ban
X.
(D) Chau va 4 ngiroi khac nira phai
lam
6
ti~u ban
X.
(E)
Danh
va 3 nguoi khac nira phai
lam
6
ti~u ban
Y.
Cau 86. "S6 tau thuy ban ra vao nam
1993
nhieu
hon
s6 tau thuy ban ra vao nam
2006.
Tuy

thu
nhap cua
rdlnh
vao
tau
thuy.
(C)
TiT
nam 1993
d€n narn
2006,
tY
I~ cac
tau
Ian va
trang
b]
t6i tan
ngay cang
tang
dAn. .
(D)
Gia thanh
trung binh
cua
tau thuy ban narn
1993
thfrp
hon gia thanh
trung

nhiet dQ nung
chay cua chat P
nhirng cao ran
nhiet dQ nung chay cua chftt
Q. :
N€u nhir nhtrng menh _d€ 6 tren dung thi ta co th~ k€t luan r~ng nhiet dQ nung chay
cua
S cao
hon
nhiet dQ nung chay
cua
Y n€u ta bi€t them r~ng ,
(A)
Nhiet
dQ nung
chay
cua P va Q
cao
hon nhiet
dQ nung
chay cua
S
(B)
Nhiet
dQ nung
chay cua X
cao
hon nhiet
dQ nung
chay cua

bong
(B) C dang doc bao
(C) B dang kh6ng
da
bong
(D) N~u B dang da bong thi C dang kh6ng doc bao
(E):B da bong khi va chi khi C doc bao
Cau 90. N~u ban co th~ dua ra bang chirng la ban bi benh, ban se duoc thi lai. N~u
nhu menh d~ tren la dung thi di~u nao sau day cling dung?
1. N~u ban kh6ng th~ dua ra bang chirng la ban bi benh, ban kh6ng diroc thi lai.
II. N~u ban muon duoc thi lai, ban phai dira ra bang chirng la ban bj benh.
III.;N~u nhu ban kh6ng diroc thi lai thi ban dii kh6ng dira ra bang chirng la ban bi
berih.
A. Chi I dung
B. Chi II dung
C. Chi III
D. Chi I va II dung
E.
1,
II,
va
III d~u dung
f)~
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