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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 4

B) 3

C) 5

D) 2

2 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 45,0608

B) 450,608

C) 4506,08

D) 40560,8

3 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 114

B) 96

C) 126

D) 108

4 / 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) 8

B) 6

C) 35/6

D) 25/3

5 / 40

Soddalashtiring.

A) (a-1)/(a-3)

B) (a-1)/(1-b)

C) (a+1)/(-a-3)

D) (b+2)/(1-b)

6 / 40

x ni toping ?

A) 5

B) 6

C) 3

D) 4

7 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) √3R(2-√3)

B) R(√3-√2)

C) 1,5R

D) 3R

8 / 40

tenglama intervalda nechta ildizga ega?

A) 1

B) 4

C) 2

D) 3

9 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 3

C) 1

D) 4

10 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) dastlab kamayadi, keyin o‘sadi

B) dastlab o‘sadi, keyin kamayadi

C) qat’iy kamayuvchi

D) qat’iy o‘suvchi

11 / 40

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

A) 8

B) 20

C) 15

D) 10

12 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 121

C) 11

D) berilganlar yetarli emas

13 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 12

C) 10

D) 20

14 / 40

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

A) 6√7

B) 8

C) 4√7

D) 10

15 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√3

C) 2√2

D) 3√2

16 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 30°

D) 40°

17 / 40

Tenglamalar sistemani yeching:

A) (9; 0), (28; -1)

B) (7; 2), (28; -1)

C) (2; 3)

D) (9; 0), (2; 7)

18 / 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) -4

B) 5

C) -3

D) -6

19 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 116

C) 112

D) 110

20 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 7

B) 8

C) 6

D) 5

21 / 40

√3

A) 5/5

B) 21/10

C) 7/3

D) 3/2

22 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 12

B) 15

C) 14

D) 13

23 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3ctg40° tg70°

D) √3tg50° tg70°

24 / 40

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

A) -2

B) 5

C) 8

D) 3

25 / 40

Hisoblang:

A) 0

B) -√3/2

C) 1/32

D) -1/2

26 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 28

C) 30

D) 24

27 / 40

Hisoblang:

A) 19/20

B) 20/21

C) 9/10

D) 10/11

28 / 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) 2

B) 4

C) 1

D) 3

29 / 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) 96

B) 100

C) 25

D) 105

30 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 3

D) 2

31 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 12

C) 11

D) 9

32 / 40

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

A) 44

B) 43

C) 45

D) 42

33 / 40

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

A) 42

B) 32

C) 48

D) 64

34 / 40

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

A) 4

B) 2

C) 1

D) 3

35 / 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

36 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) DC < AD

B) BC > AD

C) BD = BC

D) AB = BC

37 / 40

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