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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

180 gramm suvga 70 gramm tuz aralashtrildi. Hosil bo‘lgan aralashmaninmg necha foizi suvdan iborat?

A) 72

B) 78

C) 70

D) 75

2 / 40

Jamshid bir kunda 70,5 kgdan paxta tersa, 8460 kg paxtani necha kunda terib bo’ladi ?

A) 140 kun

B) 130 kun

C) 100 kun

D) 120 kun

3 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 6

B) 8

C) 35/6

D) 25/3

4 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5+5

B) 2√5

C) √5

D) 5

5 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 6

B) 8

C) 9

D) 7

6 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -1

B) 0

C) -3

D) -2

7 / 40

Tenglamani yeching:

A) 5/9

B) 5*4

C) 9/5

D) 6/5

8 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) -√17

B) √17

C) -4

D) 4

9 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 0

B) 30

C) 10

D) 25

10 / 40

Hisoblang:

A) 0

B) 6

C) 4

D) 8

11 / 40

bo‘lsa,

A) 3/2

B) 2/3

C) 1

D) 2

12 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 16(π-2)

B) 32

C) 64

D) 8(π+2)

13 / 40

tenglamaning ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 8

B) -2

C) 5

D) 3

14 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,0(2)

C) 0,(04)

D) 0,04

15 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 14

B) 35

C) 23

D) 24

16 / 40

Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 42

B) 45

C) 44

D) 43

17 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 8

B) 10

C) 6√7

D) 4√7

18 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 116

D) 110

19 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -6

B) -3

C) -4

D) 5

20 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 4

C) 6

D) 11

21 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 121

C) 22

D) 11

22 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 20

C) 12

D) 10

23 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) √3ctg40° tg70°

B) 4 √3tg50° tg70°

C) 2√3tg50° tg70°

D) √3tg50° tg70°

24 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 25

B) 100

C) 105

D) 96

25 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) bc/d

B) cd/b

C) bd/c

D) 1

26 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 3 yoki –8

B) 6

C) 5 yoki –15

D) 4 yoki –12

27 / 40

Hisoblang:

A) 10/11

B) 19/20

C) 9/10

D) 20/21

28 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 15

B) 10

C) 20

D) 8

29 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 32

B) 48

C) 42

D) 64

30 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 3

C) 2

D) 4

31 / 40

Hisoblang:

A) 0

B) 1/32

C) -1/2

D) -√3/2

32 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 3√2

D) 2√2

33 / 40

Hisoblang:

A) 1

B) sin10°

C) cos10°

D) cos50°

34 / 40

√3

A) 3/2

B) 5/5

C) 21/10

D) 7/3

35 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 10

D) 9

36 / 40

P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 1

B) 3

C) 2

D) 4

37 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 50°

C) 20°

D) 30°

38 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 2

B) 4

C) 3

D) 1

39 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 12

B) 6

C) 10

D) 8

40 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) Ø

B) 0

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z