Telegram: @super_matematika
Zohidbek TURDALIYEV

Telegram: @super_matematika
Zohidbek TURDALIYEV
Assalomu Alaykum! Ushbu testlar to„plami
supermatematika.uz sayti orqali o„tkazilgan
“Hammabop matematika” nomli
olimpiadasining 1-sonidan 10-sonigacha
bo„lgan test materiallari hisobalandi.
To„plamda berilgan testlar matematika
faniga qiziquvchi o„qituvchilar va
o„quvchilarga o„z bilimlarini
mustahkamlash va oshirib borishlarida
yordamchi manba bo„ladi deb umid qilamiz.
Marhabo, olimpiada testlar olamiga!

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No1
1. Yig„indini hisoblang:
32
29
1
...
11
8
1
8
5
1
5
2
1








A)
32
5
B)
32
1
C)
32
31
D)
32
15
2.










8
4
2
1
8
1
4
1
2
1
1
1
1
x
x
x
x
x
?
1
16
16


x
A)
32
1
32
x

B)1
C)
32
1
16
x

D)
32
1
32
x

3. a va b orasidagi munosabatni toping:
210
216
...
202
208
200
206




a
,
105
104
...
101
100
100
99




b
.
A)
a
b
24
B)
24
3
a
b
C)
24
3
a
b
D)
24
2

a
b
4. Agar
17
39
17
30
39
2
2
,
2
2
2





y
x
bo„lsa, u holda
y
x
y
x


ni toping.
A) 11
2
B)
2
28


C)
5
6
2
2

D)
6
5
2
2

5. Agar
2
3
2
4
13
1
2
2
3
3
1
2
x
x
x
x
x
f
x
x
f















bo„lsa,  
x
f ni toping.
A)
2
1

x
B)
x
1
C)
1
1
2



x
x
x
D)
2
1

x
6. Agar
2
2
2
1
2
2




a
a
bo„lsa,
16
16
1
a
a
ning qiymatini hisoblang.
A)0
B) –1
C) –2
D)2
7. Ushbu









2
5
1
3
3
3
3
y
x
y
x
y
x
xy
tenglamalar
sistemasidan foydalanib
2
2
2
2
y
x
y
x

ifoda qiymatini toping.
A) 4,5
B)4
C)5
D)2
8.Ushbu 
2020
2
...
1
x
x
x
x
x
f





funksiyaning x = 1 nuqtadagi hosilasini
toping.
A)
2021
1009

B)0
C)1
D)
2021
1
9.
n
x
x
x






1
yoyilmasining x
3
hadi
koeffsiyenti 20 bo„lsa, n ning qiymati
nechaga teng?
A)4
B)5
C)6
D)8
10.ABC muntazam uchburchakda BC va AB
tomonlarga mos ravishda DE va EF
parallel kesmalar o„tkazdirildi. Bunda
16

ADE
S
,
9

EFC
S
bo„lsa, BFED
S
yuzani aniqlang.
A) 12
B) 48
C) 24
D) 30

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Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No2
1.
!
79
...
!4
!3
!2
!1





yig„indini 56 ga
bo„lganda necha qoldiq qoladi?
A) 45
B) 41
C) 37
D) 33
2.
N
p
n
m

,
,
,
!
52
6
5



p
n
m
bo„lsa,
n
m  ning eng katta qiymatini aniqlang.
A) 28
B) 35
C) 42
D) 47
3.
b
a




33
2
14
22
2
13
tenglikdan a va b natural sonlarining
qabul qilishi mumkin bo„lgan qiymatlari
yig„indisini toping.
A) 14
B) 13
C) 10
D)5
4.

ab ikki xonali,

c bir xonali sonlar
uchun quyidagi munosabat o„rinli:
10
1
75



c
ab
.
c
b
a


ni toping.
A) 16
B) 15
C) 14
D) 13
5. Hisoblang:
...
1296
544
216
98
36
16
6
2




.
A)4
B)3
C) 1,5
D)2
6. a>0da
0
1
622
4



a
a
bo„lsa,
?
1
3
6


a
a
A) 40
B) 488
C) 240
D) 123
7. Tenglamani yeching:
x
x
x
x
x
x
x
x
1
1
1
1
16
16
16
16
2
2
2
2









A) }1;1
{
B)
}2
;2
{
C)
}3;3
{
D) }2
;1{
8. Agar












1
1
1
1
20
c
a
c
b
b
a
c
b
a
bo„lsa,
?






b
a
c
c
a
b
c
b
a
A) 23
B) 18
C) 17
D) 16
9. 
2019
6
3
2021
2
...
1
...
1
x
x
x
x
x
x
x
f









funksiya
uchun  2f ni aniqlang.
A) 22021
B)
2021
22021

C)8
D)7
10.Rasmdagi uchburchak uchun CE = CA,
BF=BA,ED =4,FG=3bo„lsa,EF =?
A)5
B)8
C)7
D) 12

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Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No3
1. Qulay usul bilan hisoblang:
100
99
...
3
2
1





.
A) 5005
B) 5000
C) 4900
D) 5050
2. Maktab hovlisida 19 ta qiz bola va 12 ta
o„g„il bola o„ynamoqda. Yana kamida
qancha o„quvchi ularga qo„shilsa,
bolalar 7 ta teng jamoaga bo„linishi
mumkin?.
A)2
B)3
C)4
D)5
3. Raqamlari yig„indisi 4 ga teng bo„lgan
nechta uch xonali son bor?
A)7
B)8
C)9
D) 10
4. Soat va minut millari orasidagi burchak
to„g„ri burchak ekanligi ma‟lum bo„lsa,
hozir soat necha bo„ldi?.
A) 14:30
B) 03:00
C) 17:45
D) 12:15
5. To„g„ri to„rtburchakda bir tomonning
uzunligi ikkinchisinikidan 12 cm ga
katta, perimeter esa 1 m ga teng.
To„rtburchak katta tomonining
uzunligini toping..
A) 19
B) 24
C) 31
D) 38
6. Sonning raqamlari yig„indisini toping:
12345...888990.
A) 774
B) 900
C) 825
D) 694
7. Kitob 320 sahifali. Uning sahifalarini
nomerlash uchun nechta raqam
ishlatilgan? (Sahifalash 3 raqamidan
boshlangan.)
A) 750
B) 680
C) 810
D) 850
8. N sonni 2007 ga bo„lganda, 242 qoldiq,
208 ga bo„lganda esa 63 qoldiq chiqadi.
Shu N sonni 72 ga bo„lganda necha
qoldiq chiqadi?
A) 19
B) 71
C) 38
D) 45
9. Ifodaning oxirgi raqamini toping:
2020
2020
13
47
.
A)0
B)2
C)8
D)4
10.Tadbirkor molining 20%ini 40% foyda
bilan sotdi. Tadbirkor qolgan molini
necha protsent foydasi bilan sotsa, bu
savdodan 32% foyda ko„radi?
A) 25%
B) 30%
C) 40%
D) 50%

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No4
1. Hisoblang:


2048
2048
1024
1024
4
4
2
2
2
3
2
3
...
2
3
2
3
2
3





A) 2048
2

B)
2047
2048
2
3
C)1
D) –1
2.
2020
3 ni 7 ga bo„lganda necha qoldiq
qoladi?
A)2
B)6
C)1
D)4
3.







y
x
y
x
4
5
tenglamalar sistemasidan
foydalanib 
2
2
8
y
x
xy

ifodaning
qiymatini toping.
A) 4,5
B)6
C)9
D) 18
4. Agar 
0
,
0
,
0



c
b
a
c
b
a
a
c
c
b
b
a





2
2
2
bo„lsa,
4
4
4
12
12
12
c
b
a
c
b
a




ning qiymatini toping.
A) 12
B)3
C)2
D)1
5. Agar
0
1
2
3
4





x
x
x
x
bo„lsa,
10
20
x
x
ifoda qiymatini toping.
A)8
B)4
C)2
D)1
6. Bizga quyidagi ketam-ketlik berilgan
1
1
2
2
,
3
2
1
1





n
n
n
a
n
a
a
a
. Bunga
ko„ra
100
3
2
1
...
a
a
a
a




ning
qiymatini aniqlang.
A)
201
200
B)
100
99
C)
201
1
D)
300
100
7.
x
x
3
cos
2
sin


tenglamaning  
;0
kesmadagi eng kichik ildizini toping.
A) 18o
B) 36o
C) 54o
D) 72o
8. ABCD to„g„ri to„rtburchakda
3
2

CE
bo„lsa, DE ni toping.
A) 13
5
B) 11
4
C)2
7
D) 11
2
9. To„g„ri burchakli uchburchakning bir
kateti va gipotenuzasi mos ravishda 7tgx
va 9tgx ga, ular orasidagi burchak esa 2x
ga teng bo„lsa, tgx ning qiymatini
toping.
A)
4
2
B)
2
2
C)2
D)2
2
10.
12
5
24
cos
42


tg

ifodaning qiymati
quyidagilardan qaysi biriga teng?
A)
12
2

tg
B)
12
sin

C)
4

tg
D)
3
cos
1


Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No5
1. 
x
x
f2

bo„lsa,

1
3


x
f
x
f
ifoda
quyidagilardan qaysi biriga teng?
A)f(1)
B)f(2)
C)f(3)
D)f(4)
2. Hisoblang:

42
42
4
2
.
A)2
B)4
C)2
D)42
3. Tenglamani yeching:


!
1
lg
2
!
2
lg




x
x
A)0
B)4
C) 98
C) 102
4. Tengsizlik nechta butun yechimga ega?
3
5
21
42



x
A)1
B)2
C)4
D) cheksiz ko„p
5.
2020
4
4
6




b
a
a
tenglikdan
foydalanib,
4
6
6



b
b
a
ning qiymatini
toping.
A) 2018
B) –2010
C) 2030
D) –2018
6. Agar
4
3
2

dx
x
f
bo„lsa, u holda





2
1
2
2
1
1
dx
x
f
x
integralning qiymatini
aniqlang.
A)1
B)2
C)2
D)4
7. Taqqoslang:
,
3
,
2
36
45




b
a
,
527


c
18
6

d
.
A)
c
b
d
a



B)
c
a
d
b



C)
d
a
b
c



D)
a
d
b
c



8.

a
a
a
2
4
8
log
,
log
,
2
log
geometrik
progressiyaning ketma-ket hadlari
bo„lsa, a ning qiymatlari yig„indisini
toping.
A) –4
B)
16
1
1
C)
16
1
D)
8
1
2
9. a va b haqiqiy sonlari uchun
3
2


a
va
4
3


b tengsizliklar o„rinli.
a
b
a

ifodaning eng katta butun
qiymatini aniqlang.
A)6
B)7
C)8
D)9
10.Agar
3
2
1
||
||L
L
L
va
o
o
o
b
a
36


bo„lsa, x
o
burchakni toping.
A) 54o
B) 72o
C) 36o
D) 63o

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No6
1. Dastlabki 100 ta toq natural sonlarning
yig„indisini toping.
A) 10 000
B)2500
D)5050
D) 10 201
2.
?1
2
...
1
2
1
2
1
2
3
64
8
4
2










A)
1
2256

B)
1
2256

C)
1
2128

D)
1
2128

3. a – musbat haqiqiy son.
29
20


a
a
bo„lsa,
a
a5

ifodaning qiymatini
toping.
A)3
B)4
C)5
D)6
4. Agar
2
7

x
bo„lsa, u holda
3
2
1



x
x
x
ko„paytmani
hisoblang.
A)7
5
B)7
6
C)7
7
D)7
8
5.
...
13
13
13
13
13





ifodaning butun qiymatini toping.
A)3
B)9
C)6
D)4
6.

c
b
a,
,
noldan farqli haqiqiy sonlar.
0



ca
bc
ab
tenglikdan foydalanib,
quyidagi ifodaning qiymatini hisoblang:
ab
c
c
ca
b
b
bc
a
a





2
2
2
2
2
2
.
A)0
B) –1
C)1
D)2
7.Agar 
1
2
4



n
n
n
f
bo„lsa,
?
100
100
...
3
3
2
2
1
1





f
f
f
f
A)
100
99
B)
10101
10100
C)
10101
5050
D)
10000
9999
8. A(k, 1), B(2, 2), C(–3, 3) va D(6, 2)
nuqtalar berilgan. Bunda AB||CD bo„lsa,
k nechaga teng?
A)8
B)9
C) 10
D) 11
9. Agar
c
a
8,0

,
3
4,0


c
b
va
200
100 


c
bo„lsa,
b
a ningeng
katta qiymati nechaga teng bo„ladi?
A) 116
B) 254
C) 237
D) 189
10.Rasmdagi ma‟lumotlardan foydalanib
ECD

burchakni aniqlang.
A) 15o
B) 18o
C) 30o
D) 45o

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No7
1.
R
y
x
,
8
,
3
2
2



y
x
xy
bo„lsa,
?
7
6
6
7





y
x
y
yx
xy
x
A) 48
B) 55
C) 110
D) 210
2. Hisoblang:
5
1
5
1
2
1
2
2
:
7
1
1
2
1
3
4
1
2
7
1
4





.
A)
2
1
B)1
C)2
D)2
3.
...
4
6
1
4
5
1
4
4
1
4
3
1
2
2
2
2








yig„indini hisoblang.
A)
64
33
B)
64
35
C)
48
23
D)
48
25
4. Foizda hisoblang:
%
10
%
100
%
64
.
A) 90%
B) 180%
C) 1080%
D) 18%
5.2


x
e
x
x
f
,
2
1
x
x
g
ushbu
funksiyalardan foydalanib f
g ni
aniqlang.
A) 2
1

x
e
x
B)







2
1
2
1
2
x
e
x
C)
2
2
2
1

x
e
x
D)

2
2
1

x
e
x
6. Agar
0
19


a
a
a
a
bo„lsa, u holda
2
350
1




a
a
ning qiymatini
toping.
A)3
B)5
C)2
D)1
7. {0, 1, 2, 3, 4} to„plamning qism
to„plamlari bittadan qog„ozga yozilib
xaltaga solindi. Xaltadan ixtiyoriy
ravishda olingan qog„ozda 1 bo„lib, 2
ning bo„lmasligi ehtimolligini toping.
A) 0,4
B) 0,75
C) 0,25
D) 0,5
8. 
x
P
ko„phadi uchun ushbu
8
1
2
1
2




x
P
x
P
tenglik o„rinli.
Bunga ko„ra  1
P ning qabul qilishi
mumkin bo„lgan qiymatlari yig„indisini
aniqlang.
A)2
B)1
C) –1
D) –2
9.
R
x

va
Z
n
m
,
,
0
2
22



mx
x
va
0
8
2



nx
x
bo„lsa,
n
m6
2
ifodaning eng katta qiymatini aniqlang.
A) 20
B) 36
C) 40
D) 18
10.Rasmdagi AB yarim aylana uchun
DF
CE|| ,
DB
CD
AC


,
6
6

EC
,
6
2

DF
bo„lsa, radiusini aniqlang.
A)6 B)9 C)12 D)15

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No8
1. Agar
m
m
2
va
2019
m
a
,
2020
m
b
,
2021
m
c
bo„lsa, a, b, c sonlarini
kamayish tartibida yozing.
A)
c
b
a


B)
a
b
c


C)
c
a
b

D)
b
c
a


2. Hisoblang:
1
35
1
34
1
11
1
10




o
o
o
o
tg
tg
tg
tg
A)8
B)2
C)4
D) 16
3. 
x
P
ko„phadi uchun

4
2
2
2
3
2





bx
ax
x
x
P
x
bo„lsa,
x
P ko„phadining koeffisiyentlari
yig„indisini aniqlang.
A)6
B)4
C)1
D)3
4.
x
x
162
128

tenglamani yeching.
A) 12
B) 144

C) 144
D) 12

5. Agar
3
2020
2020


m
m
bo„lsa,
m
m
m
m




2020
2020
2020
2020
6
6
ning qiymatini
toping.
A) 12
B)6
C) 15
D)9
6.
6
,
4
,
12
4



xyz
y
x
bo„lsa, u holda
z
y
y
x


ifodaning qiymati quyidagilardan qaysi
biriga teng bo„la olmaydi?
A) –15
B) –3
C) –1
D)5
7.
4
,


x
N
x
to„plamning xosmas
qism to„plamlari xos qism
to„plamlarining necha foizini tashkil
etadi?
A) 50%
B)%
7
100
C) 25%
D) 33,(3)%
8. 
x
f funksiya berilgan 
b
a,
intervalda
noldan farqli va differensiallanuvchi
bo„lsin.  
 1
x
f
funksiyaning  b
a,
intervalda hosilasini toping.
A) 
x
f
x
f

2
2
B) 
x
f
x
f

2
C) 
x
f
x
f


2
D) 
2


x
f
9.
N
n
n
n
p




,
1
4
5
.p–tup
bo„ladigan n larning yig„indisini toping.
A)1
B)4
C)5
D) 19
10.Muntazam uchburchakli piramidaning
asosidagi ikki yoqli burchagi α ga, yon
sirti S ga teng. Piramidaning asosining
markazidan apofemasining o„rtasigacha
bo„lgan masofani toping.
A)

cos
3
6
1S
B)

cos
3
S
C)

cos
2
3
S
D)

sin
3
3
1S

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No9
1.












3
log
12
4
log
3
log
5
log
2
5
3
2
y
x
x
tenglamalar
sistemasidan foydalanib y
x  ni toping.
A) 40
B) 48
C) 59
D) 62
2. Rasmdagi ma‟lumotlar asosida ctgβ ni
hisoblang. Bunda
5,0


tg
.
A)1
B)2
C)3
D)4
3.
x
1
2
1
4
42
3
13
2
5
1




ifoda ma‟noga ega
bo„lmaydigan x larning yig„indisini
toping.
A)1
B)
14
1
1
C)
7
1
1
D)
14
3
1
4. Agar
0
15
9
2



x
x
bo„lsa,
?
2
1
2
2
2




x
x
A) 23
B) 24
C) 27
D) 30
5.






6
3
9
3
y
x
y
x
tenglamalar sistemasi
nechta haqiqiy juft yechimga ega?
A)0
B)1
C)2
D)4
6.

c
b
a,
,
natural sonlar.
4
9
6
8
3
5






c
b
a
A
bo„lsa,
c
b
a


ning eng kichik qiymatini
toping.
A)9
B) 95
C) 22
D) 163
7. Agar
o
o
tg
tg
tgx
20
50
2


bo„lsa, u
holda x burchakni toping.
A) 70o
B) 120o
C) 140o
D) 30o
8. 9(9)4,7(11)8,13(x)7mantiqni
aniqlab x ning qiymatini toping.
A) 20
B) 10
C) 12
D)6
9.














1
7
7
1
5
5
1
3
3
1
6
6
1
4
4
1
2
2
2
4
2
4
2
4
2
4
2
4
2
4



?
1
11
11
1
9
9
1
10
10
1
8
8
2
4
2
4
2
4
2
4










A)
133
3
B)
100
99
C)
133
132
D)
4
3
10.Kichik kvadrat yuzini katta kvadrat
yuziga nisbatini toping.
A)
361
324
B)
400
361
C)
841
400
D)
900
400

Telegram: @super_matematika
Zohidbek TURDALIYEV
“HAMMABOP MATEMATIKA” No10
1.
1
3
2
4
3
2






m
x
m
x
x
P
ko„phadning ozod hadi 8 ga teng bo„lsa,
uning koeffisiyentlari yig„indisini
toping.
A) 16
B) 18
C) 24
D) –8,5
2.
...
4
22
4
22




ifodaning
qiymati nechaga teng?
A)4
B)5
C)6
D)7
3. Agar
2
3

a
bo‟lsa, u holda
a
a
a
a







1
1
1
1
1
1
ifodaning qiymatini toping.
A)2
B)4
C)1
D)3
4.
2
3
2
2
2
n
x
n
nx




tenglamani
ildizlaridan birini toping.
A)n

1
B)1
C)
2
2
n

D)
n
1
5. Agar
3
3
3
64
27
8
z
y
x


va
1
1
1
1



z
y
x
bo„lsa,
3
2
2
2
64
27
8
z
y
x


ning qiymatini
toping.
A)9
B)1
C) 12
D)6
6. Hisoblang:
0
2020
4
81


.
A) 16
3
B)
81
1
C)1
D)
3
1
7.3




y
f
x
f
y
x
f
va1
1
f
bo„lsa,
?
6
29




f
A)
6
17
B)
6
29
C)
3
53
D)
3
49
8.




1
27
cos
4
1
9
cos
4
2
2
o
o


?1
243
cos
4
1
81
cos
4
2
2




o
o
A)1
B)4
C) 16
D) 64
9. Hisoblang:
...
10
1
10
8
10
1
10
8
8
4
3
2





A)
11
93
B)
11
94
C)
11
96
D)
11
97
10.Rasmdagi ma‟lumotlar asosida x ni
aniqlang.
A)
3
3
B)3
3
C)3
D)3
2

Telegram: @super_matematika
Zohidbek TURDALIYEV
OLIMPIADA JAVOBLARI
No12345678910
1ADDDDACACD
2DBCDBDACBB
3CCDCCBDDBC
4DDBBBBCDAC
5BACCDDDAAA
6ABAAACDAAD
7DBDCDCCBAD
8ACBDCDACBA
9CDAACCBAAD
10CCBDDABACA
Eslatma!
1) Gorizontal raqamlar – olimpiada tartib
raqamlari;
2) Vertikal raqamlar – olimpiada
testlarining tartib raqamlari.