2. Quyidagi sonlardan qaysi biri 15 ga qoldiqsiz bo‘linmaydi? A) 6525
B) 3105
C) 4620
D) 6145
3. 48 sonining barcha natural bo‘luvchilari yig‘indisini toping? A) 123
B) 124
C) 108
D) 134
4. Natural sonni 18 ga bo‘lganda bo‘linma 15 ga, qoldiq 3 ga teng bo‘ldi. Bo‘linuvchini toping? A) 173
B) 243
C) 273
D) 253
5. Yig‘indisini oxirgi raqamini toping.
15 25 37 43 34 48 77 A) 4
B) 9
C) 0
D) 5
6. 60% li spirt aralashmasiga, aralashmaning ichidagi spirt miqdoricha spirt qo‘shildi. Shundan keyin spirt necha foiz bo‘b qoldi? A) 60
B) 70
C) 75
D) 80
7. Hisoblang:
5 2 1 1 2 5 : 2 5 : 1 7 5 4 6 3 A)
7
1
7
B)
7
1
8
C)
7
6
6
D)
7
5
5
8. Hisoblang. 1,75–
2 7 1 6, 5 7 9 A) –4,75
B) 2,15
C) 8,25
D) 4,75
9. 3,7(3) davriy kasr qaysi oddiy kasrga teng? A)
3
1
3
B)
99
67
3
C)
15
11
3
D)
90
73
3
26
10. Soddalashtiring.
5n 3 3n 4 4n 1 2 2 2 A)
1
4
2
n B)
2
2
n C)
2
2
2
n D)
2
4
2
n 11. Soddalashtirish. a ·( b – c )+ b ·( c – a )– c ·( b – a ) A) –2
ac B) 2
ab C) 0
D) 2
12. Ushbu
4 2 2 4 2 2 (x x y y )(x y ) ko‘paytma o‘xshash hadlari ixchamlanganidan keyin nechta qo‘shiluvchidan iborat bo‘ladi? A) 3
B) 4
C) 2
D) 5
13. Geometrik progressiyaning 5- va 7- hadlari yig‘indisi 81 ga teng. 2- va 4- hadlari yig‘indisi 3 ga teng. Shu progressiyaning 13-hadini toping. A) 3
9
B)
10
3
12
C)
5
3
11
D) 3
7
14. Qisqartiring.
2 2 n 7n 6 n 1 A)
1
6
n n B)
1
6
n n C)
1
6
n n D)
1
6
n n 15. Soddalashtiring.
3 3 15 0, 5 60 2 3 5 4 A) 0
B)
15
C)
3
5
D)
15
3
16. ΔABC ning AB tomoni MN//AC to‘g‘ri chiziq yordamida |BM|=2 va |AM|=4 bo‘lgan kesmalarga ajratildi. Agar ΔMBN ning yuzi 18 ga teng bo‘lsa, ΔABC ning yuzi qanchaga teng bo‘ladi? A) 44
B) 162
C) 72
D) 108
17. Hisoblang.
3 3 3 3 24 81 192 375 A) –1
B) 1
C)
125
83
D)
125
83
18. Tenglamani yeching.
5,6 7 0,8x 1 14 5, 32x A) 5,5
B) 55
C) –55
D) –5,5
19. Tenglamaning katta ildizini toping.
2 x 18x 45 0 A) –3
B) 3
C) –15
D) 15
20. a va b sonlari
2 3x 2x 6 0 tenglamaning ildizlari bo‘lsa,
2 2 a b ni hisoblang. A) 6
B) 8
C)
9
4
4
D)
9
2
4
21. Ushbu
2 1 1 x 2 x 3 0 x x tenglama ildizlarining ko‘paytmasini toping. A) 3
B) –1
C) 4
D) 1
27
22. ( x ; y ) sonlar jufti tenglamalar sistemasining yechimi. x ∙ y ni toping.
2x y 8 0 3x 4y 7 0 A) –90
B) 12
C) –10
D) 80
23. Uchburchakning 114 o li tashqi burchagiga qo‘shni bo‘lmagan ikki burchagi 1 va 5 sonlariga proporsional bo‘lsa, shu uchburchakning eng kichik burchagini toping. A) 19
o
B) 95
o
C) 56
o
D) 60
o
24 . Aylananing AB va CD vatarlari E nuqtada 90 o burchak ostida kesishadi. |AE|=2, |CE|=4 va |ED|=6 bo‘lsa, aylananing radiusini toping. A) 5
B) 6
2
5
C)
2
6
D)
25.
x x x x x x x 4 4 0, 32bo`lsa 5 5 5 5 5 x 2 +1=? A) 2
B) 10
C) 5
D) 17
26. Ota va onaning yoshlari yig‘indisi 3 ta bolalari yoshlari yig‘indisining 2 martasidan 8 ta kichik. 10 yil avval ota va onaning yoshlari yig‘indisi bolalari yoshlari yig‘indisidan 4 marta katta bo‘lgan. Ota va onaning yoshlari yig‘indisini toping. A) 84
B) 72
C) 54
D) 46
27. To‘rtta nuqta aylanani 0,5; 1,5; 2,5; 5,5 sonlariga proporsional yoylarga ajratadi. Shu nuqtalarni ketma-ket tutashtirish natijasida hosil bo‘lgan to‘rtburchak diagonallari orasidagi katta burchakni toping. A) 54
B) 72
C) 108
D) 126
28. Oqimining tezligi 1 m/s bo‘lgan ariqda, titanik oqimga qarshi 48 m masofaga 6 soniyada yetib borgan bo‘lsa, shu masofaga orqaga qaytib borishiga necha soniya kerak? A) 4
B) 6
C) 7
D) 8
29. To’g’ri to’rtburchakli prizmaning tomonlari a , b va c . To’la sirti 46 sm 2 va hajmi 15 sm 3
1 1 1 bolsa, ? a b c 23
15
)
A
15
23
)
B
15
46
C)
46
15
)
D
30. To‘g‘ri burchakli parallelepiped asosining tomonlari 5 va 4 m, balandligi esa 6 m. Parallelepiped diagonali asos tekisligi bilan hosil qilgan burchak kosinusini toping. 77
3
A)
77
6
B)
77
41
C)
41
21
D)
Kalitlar:
1a 2d 3b 4c 5b 6c 7a 8c 9c 10d 11c 12c 13b 14b 15d 16b 17a 18c 19d 20c 2122c 23a 24b 25b 26c 27d 28b 29b
30c