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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

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 61

B) 60

C) 58

D) 59

2 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 4506,08

B) 45,0608

C) 450,608

D) 40560,8

3 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 6

B) 9,25

C) 5,75

D) 13

4 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,7 m yoki 70 cm

B) 0,9 m yoki 90 cm

C) 0,5 m yoki 50 cm

D) 0,6 m yoki 60 cm

5 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 2

B) 4

C) 3

D) 1

6 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 200 km

B) 0,2km

C) 20 km

D) 2 km

7 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 10

B) 8

C) 6

D) 9

8 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,432

B) 0,144

C) 0,216

D) 0,288

9 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,4

B) √6

C) 2,5

D) √5

10 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 9

B) 1

C) 5

D) 0

11 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 28

C) 24

D) 30

12 / 40

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

A) 1

B) 4

C) 2

D) 3

13 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

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) 4√7

C) 8

D) 10

15 / 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) AB = BC

B) BD = BC

C) BC > AD

D) DC < AD

16 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 6

B) 3√2

C) 4√3

D) 4√2

17 / 40

Tenglamani yeching:

A) -6

B) 5

C) 6; -5

D) -6; 5

18 / 40

bo‘lsa,

A) 2/3

B) 1

C) 2

D) 3/2

19 / 40

Hisoblang:

A) 0

B) -1/2

C) -√3/2

D) 1/32

20 / 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) 5

C) -3

D) -4

21 / 40

Hisoblang:

A) 20/21

B) 19/20

C) 10/11

D) 9/10

22 / 40

Hisoblang:

A) 1

B) cos50°

C) cos10°

D) sin10°

23 / 40

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

A) 12

B) 13

C) 14

D) 15

24 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 11

D) 4

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) 1

C) cd/b

D) bd/c

26 / 40

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

A) 10

B) 20

C) 15

D) 8

27 / 40

√3

A) 7/3

B) 21/10

C) 3/2

D) 5/5

28 / 40

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

A) 64

B) 48

C) 32

D) 42

29 / 40

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

A) 32

B) 16(π-2)

C) 8(π+2)

D) 64

30 / 40

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

A) 42

B) 43

C) 44

D) 45

31 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 2√3

C) 4√3

D) 3√2

32 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 40°

D) 30°

33 / 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) 23

C) 24

D) 35

34 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

35 / 40

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

A) π/4+πk, k∈Z

B) 0

C) Ø

D) -π/4+πk, k∈Z

36 / 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) 8

B) 10

C) 12

D) 6

37 / 40

Ifodaning qiymatini toping.