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Matematika attestatsiya №4

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Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

Agar ning qiymatini toping.

A) 75/23

B) 3

C) 23/25

D) 23/75

2 / 40

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

A) 72

B) 75

C) 70

D) 78

3 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,5

B) 0,32

C) 0,8

D) 0,16

4 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 30

B) 18

C) 24

D) 12

5 / 40

va bo'lsa x-y=?

A) 9

B) 8

C) 5

D) 7

6 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²-4

C) f(x)=x²+3x+7

D) f(x)=x²-x+5

7 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13cosx-cos13x + C

B) -13cosx- cos13 x +C

C) 13sinx+sin13x + C

D) 13sinx-sin13x + C

8 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 4

C) 1/4

D) 1/3

9 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-2; ∞)

B) (0; ∞)

C) [-1; ∞)

D) (-1; ∞)

10 / 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) 0,6 m yoki 60 cm

B) 0,9 m yoki 90 cm

C) 0,5 m yoki 50 cm

D) 0,7 m yoki 70 cm

11 / 40

Hisoblang:

A) 1

B) 3

C) 4

D) 2

12 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 99

C) 100

D) 101

13 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 30°

B) 10°

C) 20°

D) 40°

14 / 40

Hisoblang?

A) 0,25

B) 4

C) 2

D) 0,5

15 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 40

B) 34

C) 32

D) 36

16 / 40

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

A) 2,5

B) √6

C) 2,4

D) √5

17 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 5

C) 2

D) 6

18 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 132°

C) 135°

D) 142°

19 / 40

Tenglamani yeching:

A) 9/5

B) 5/9

C) 5*4

D) 6/5

20 / 40

Integralni hisoblang:

A) 3

B) 1

C) 4

D) 2

21 / 40

Hisoblang:

A) 4

B) 0

C) 8

D) 6

22 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 100

B) 90

C) 120

D) 80

23 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 9

B) 12

C) 3

D) 6

24 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) (-∞;3]∪[2;∞)

C) (-∞;0)∪(0;∞)

D) [-3;2]

25 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 48

B) 40

C) 52

D) 28

26 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 4

C) 2

D) 3

27 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 5050

B) 4800

C) 600

D) 3600

28 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 41

B) 50

C) 32

D) 25

29 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 40/63

B) 36/65

C) 48/65

D) 56/65

30 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 96π

B) 144π

C) 72π

D) 192π

31 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) 1/8

C) √2/8

D) √3/4

32 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 1

B) 2

C) 4

D) 3

33 / 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) R(√3-√2)

B) 3R

C) √3R(2-√3)

D) 1,5R

34 / 40

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

A) 5

B) 0

C) 9

D) 1

35 / 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) qat’iy o‘suvchi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

36 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 2

B) 5

C) 1

D) 4

37 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 32

B) 48

C) 64

D) 16

38 / 40

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

A) 8

B) 6

C) 10

D) 9

39 / 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) 35

B) 20

C) 25

D) 40

40 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 9√5

B) 8√3

C) 12√3

D) 6√5