Matematika majburiy blok

Matematika ( majburiy blok )
Test-1
1. Hisoblang:
dm² bo’ladi?
A) 49 B) 196 C) 294 D) 98
8. Kubning qirrasi 7 dm bo’lsa,

_{( )} kubning hajmi necha dm³

24 − 12: 24 − 12 + 77
A) 78 B) 100 C) 76 D) 98

2. 
   Sotuvchi ikki mahsulotni 60 so’mdan sotdi. U birinchi mahsulotdan 20% foyda, ikkinchi mahsulotdan 20% zarar ko’rgani ma’lum bo’lsa, sotuvchi umumiy hisobda necha
   

% foyda (zarar) ko’rgan?

1. 
   foyda ham zarar ham ko’rmagan
   
2. 
   4% zarar ko’rgan
   
3. 
   4% foyda ko’rgan
   
4. 
   40% zarar ko’rgan
   
2. 
   Sonni 21 ga bo’lganda bo’linma 15 ga, qoldiq 4 ga teng bo’lsa, bo’linuvchini toping?
   

A) 311 B) 315 C) 319 D) 323

2. 
   3 ga bo’linadigan ikki xonali sonlar nechta?
   

A) 31 B) 29 C) 32 D) 30

2. 
   1000 dan katta bo’lmagan 5 ga bo’lganda 1 qoldiq qoladigan natural sonlar nechta?
   

A) 200 B) 201 C) 199 D) 198

2. 
   Kubning qirrasi 7 dm bo’lsa, kubning sirtini yuzi necha dm² bo’ladi?
   

A) 49 B) 196 C) 294 D) 98

2. 
   Kubning qirrasi 7 dm bo’lsa, kubning yon sirtini yuzi necha
   

bo’ladi?
A) 49 B) 64 C) 343 D) 196

9. 
   17 ga bo’linuvchi ikki xonali tub sonlar nechta?
   

A) 5 B) 6 C) 4 D) 1

9. 
   15 ; 23 va −17 sonlarini o’rta arifmetigini toping?
   

A) 7 B) 21 C) 3 D) 9
Matematika ( asosiy blok )
Test-1
1. Agar 𝑓⁽𝑙𝑜𝑔₃𝑥 − 1⁾ = 𝑥² − 8𝑥 + 3
bo’lsa, 𝑓^′(1) ni toping?
A) 9ln3 B) 90ln3 C) 9 D) 90

2. 
   ABCD parallelogramm uchun
   

𝐴^⃗⃗⃗⃗𝐵^⃗→(3 ; 5 ; −7) va
^⃗𝐴^⃗⃗⃗𝐷^⃗→(−11 ; 7 ; 3) parallelogramm diganallarining kesishgan nuqtasi O bo’lsa, ^⃗𝑂^⃗⃗⃗𝐴^⃗→ vektorning koordinatalari yig’indisini toping? A) 1 B) 0 C) -1 D) 2

2. 
   Kubga tashqi chizilgan sharning ^{radiusi 2}√^{3 ga teng. Kubning} yon sirtini toping?
   

A) 16 B) 96 C) 64 D) 32

2. 
   Tenglamani haqiqiy ildizlari yig’indisini toping:
   

⁽𝑥 + 1⁾⁽𝑥 + 2⁾⁽𝑥 + 3⁾⁽𝑥 + 4⁾ = 25
A) -10 B) 5 C) 10 D) -5

2. 
   Tengsizlik nechta natural yechimga ega: ^|2𝑥 − 7^| ≤ 1 A) 4 B) 1 C) 2 D) 3
   

13. Soddalashtiring:
𝑐+𝑛𝑦 ₋ 𝑛−𝑐𝑦
𝑐𝑦 𝑛𝑦
A) ^𝑐 + ^𝑛 B) ^𝑛 − ^𝑐

6. 
   𝑥 ning nechta natural qiymatida
   

⁷ kasr noto’g’ri kasr bo’ladi?

𝑛 𝑐
C) ^𝑛 − ^𝑛
𝑐 𝑛
D) ^𝑦 − ^𝑐

_𝑥 𝑐 𝑦
𝑐 𝑦

A) 6 B) 7 C) 1 D) cheksiz

6. 
   (1; 0) nuqta koordinata boshiga
   

14. 16 cos ^𝜋 18
ni hisoblang?
cos ^𝜋
6
cos
5𝜋



18
cos
7𝜋



18

nisbatan − ^7𝜋 ga burilgandan
2

1. 
   1 B)
   

√^{3 C) 3 D) 2}√³

hosil bo’lgan nuqtaning
koordinatalarini aniqlang? A) (−1; 0) B) (0; −1)
C) (1; 0) D) (0; 1)
_{15. {}⁽𝑥 − 4⁾⁽𝑥 − 3⁾ < 0
^|7 − 2𝑥^| < 1
tengsizliklar sistemasini yeching? A) 𝑥 ∈ 𝑅

8. 16 sin ^𝜋
9
sin
2𝜋



9
sin
4𝜋 _ni
9
B) 𝑥 ∈ (−4; −3) 𝖴 (3; 4)
C) 𝑥 ∈ (3; 4)

hisoblang?
^{A) 2 B)} √^{3 C) 2}√^{3 D) 4}
3𝑥
16.

4. 
   ∅
   

Uzunligi ^𝜋
ga teng bo’lgan

9. 𝑓⁽𝑥⁾ =


𝑥²+1
funksiyani
4
aylana o’tkir burchagi 30°

kamayish oralig’ini toping?
A) 𝑥 ∈ (−1; 1)
B) 𝑥 ∈ (−∞; −1) 𝖴 (1; +∞)
bo’lgan rombga ichki chizilgan. Rombning perimetrini toping? A) 4 B) 2 C) 6 D) 3

C) 𝑥 ∈ (−∞; −1)
D) 𝑥 ∈ (1; +∞)



10. 𝑙𝑜𝑔₇⁽3𝑥 + 5⁾ + √𝑙𝑜𝑔₇⁽3𝑥 + 5⁾ = 0
𝜋

0
^17. ∫^{2(cos 𝑥 ∙ sin 𝑥 ∙ 𝑒}
integralni hisoblang?
𝑠𝑖𝑛²𝑥
)𝑑𝑥

tenglama nechta haqiqiy ildizga
_A) 𝑒−1
2
B) 𝑒 − 1 C) ^𝑒
2

4. 
   𝑒
   

ega?

1. 
   haqiqiy ildizga ega emas.
   

18. |
^𝑥−4| < 1 tengsizlikni
5

2. 
   cheksiz ko’p
   
3. 
   1
   
4. 
   2
   

11. 
    Tenglamani ildizlari ko’paytmasini toping?
    

natural yechimlari nechta? A) 6 B) 7 C) 8 D) 9

2
19. 𝑙𝑜𝑔²𝑥 + 2 ≥ 3𝑙𝑜𝑔₂𝑥 tengsizlikni qanoatlantiruvchi eng kichik natural son eng katta

₍ ⁷ ₎2𝑥²−15
32
₌ ³²₎19𝑥−2

(
7
raqamdan qanchaga kichik?
A) 1 B) 2 C) 7 D) 8

A) 8 B) -8,5 C) 8,5 D) -8

11. 
    𝑎, 𝑏, 𝑐 turli raqamlar bo’lsa, 7𝑎 + 2𝑏 + 3𝑐 ning eng katta qiymatini toping?
    

A) 101 B) 100 C) 102 D) 99
20. Quyidagi chizmada berilgan ADC uchburchak teng yonli to’g’ri burchakli uchburchak. AE=7 va EC=25 bo’lsa, 𝑆_𝐷𝐸𝐶 ni toping?

ifodaning qiymatini toping? A) 9 B) 5 C) 7 D) 1
27. 𝑎, 𝑏 va 𝑐 lar turli raqamlar bo’lsa, 𝑎 + 𝑏 + 𝑐 ning eng katta qiymatini toping?
A) 27 B) 25 C) 24 D) 26

A) 56 B) 200 C) 256 D)
√^{7∙3 2+3 7∙ 2} ₃

28. (
√ √ √ _{) ni}

100 ⁶ ₂₊⁶ ₇

21.
^{3 1} integralni

∫
² 4𝑥²−9
hisoblang?
√ √
hisoblang?
A) 12 B) 7 C) 2 D) 14

29. 
    Tanga 7 marta
    

1. 
   ¹
   

𝑙𝑛 ⁷
B) ¹ 𝑙𝑛 ⁷
tashlanganda 5 marta gerb va 2

12 3 6 3

C) ¹ 𝑙𝑛 ²⁷
D) ¹ 𝑙𝑛 ³
marta raqam tomoni

6 7 6 7
22. 2016 ∙ ⁽2017 ∙ 2018 + 1⁾
ni hisoblang?
A) 2016³ + 1 B) 2017³ − 1
C) 2018³ + 1 D) 2017³ +
2016
tushishining ehtimolligini toping?
A) ¹⁰ B) ¹ C) ²¹ D) ¹
49 32 128 128
30. Agar 𝑓⁽2𝑥 − 3⁾ = ^𝑥+3
𝑥−2
bo’lsa, 𝑓(𝑓⁽5⁾) ni toping?

23. Ifodani soddalashtiring:
(𝑎+1)³+1



𝑎³−1
_A) 11
4
B) 5 C) 7 D) ⁴
11

_A) 𝑎+2
𝑎−1
𝑎−1



𝑎+1
_B) 𝑎+1
𝑎−1
C) ^𝑎−2 D)
𝑎+1

24. Agar 𝑓⁽𝑥⁾ = 𝑎 ∙ 2^𝑥 + 𝑏 ,

1
^{𝑓′(1) = 10𝑙𝑛2 va} ∫^{2 𝑓(𝑥)𝑑𝑥 =}

𝑒

2
10𝑙𝑜𝑔 (
2
) bo’lsa, 𝑎 + 𝑏 ni

toping?
A) −10 B) 6 C) −4 D) −5
25. 𝑦 = 𝑙𝑜𝑔₅⁽𝑥 − 3⁾ −
𝑙𝑜𝑔₅(3𝑥 + 4) funksiyaning aniqlanish sohasiga kiruvchi eng kichik natural sonni toping?
A) 1 B) 3 C) 4 D) 5


26. Agar 𝑥 = 4 bo’lsa,
_√ 𝑥²−3 _{2 √} 9 6

12 + ( ) +
𝑥
_𝑥2 − _𝑥 + 1