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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

ni hisoblang.

A) e+1

B) (e-1)/2

C) e-1

D) (e+1)/2

2 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 4506,08

B) 40560,8

C) 450,608

D) 45,0608

3 / 40

Hisoblang:

A) 7

B) 4

C) 27

D) 9

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) 0,5 m yoki 50 cm

B) 0,7 m yoki 70 cm

C) 0,6 m yoki 60 cm

D) 0,9 m yoki 90 cm

5 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUK 3-EKUB

B) 1-EKUB 2-EKUB 3-EKUB

C) 1-EKUB 2-EKUK 3-EKUK

D) 1-EKUB 2-EKUB 3-EKUK

6 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 16

B) 48/5

C) 64/5

D) 10

7 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 40

B) 35

C) 20

D) 25

8 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 5/6

B) 8/15

C) 1/3

D) 1/2

9 / 40

Tenglamani yeching:

A) 6/5

B) 5/9

C) 5*4

D) 9/5

10 / 40

ni hisoblang.

A) 3

B) 2

C) 0

D) 1

11 / 40

Hisoblang:

A) -√3/2

B) 0

C) 1/32

D) -1/2

12 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 6

C) 5

D) 4

13 / 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) 10

C) 8

D) 4√7

14 / 40

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

A) 1

B) 3

C) 2

D) 4

15 / 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

16 / 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) 5

B) -6

C) -3

D) -4

17 / 40

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

A) bd/c

B) bc/d

C) 1

D) cd/b

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 4

C) 2

D) 1

19 / 40

bo‘lsa,

A) 2

B) 3/2

C) 1

D) 2/3

20 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,04

C) 0,0(4)

D) 0,(04)

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 4

D) 2

22 / 40

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

A) 10

B) 15

C) 8

D) 20

23 / 40

√3

A) 7/3

B) 3/2

C) 5/5

D) 21/10

24 / 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) BD = BC

B) AB = BC

C) DC < AD

D) BC > AD

25 / 40

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

A) 14

B) 13

C) 15

D) 12

26 / 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) 48

C) 32

D) 64

27 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 121

D) 22

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) 1

C) 3

D) 4

29 / 40

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

A) 45

B) 43

C) 44

D) 42

30 / 40

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

A) 5 yoki –15

B) 3 yoki –8

C) 4 yoki –12

D) 6

31 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

32 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 10

B) 5

C) 7

D) 11

33 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

34 / 40

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

A) 0

B) π/4+πk, k∈Z

C) -π/4+πk, k∈Z

D) Ø

35 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 28

D) 30

36 / 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) 105

C) 25

D) 100

37 / 40

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