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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 4

B) 5

C) 6

D) 3

2 / 30

integralning qiymatini toping.

A) -π/2

B) π/4

C) 0

D) π/2

3 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {-1;2}

B) {2;4}

C) {1;2}

D) {-1;3}

4 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 10

B) 9

C) 11

D) 12

5 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 54

B) 108

C) 52√3

D) 48√3

6 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ²ᴷ⁺⁴v2k+1/k²+1

B) (512-1/2⁻⁹)°

C) 4k+1/1/8:7-1/56

D) ⁴ᴷ⁺³√-√2k+1

7 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 6

C) 5

D) 3

8 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (∞;∞)

B) (-∞;2)

C) (2;∞)

D) (-∞;2)v(2;∞)

9 / 30

Hisoblang

A) 1

B) 2

C) -1

D) 0

10 / 30

Soddalashtiring.

A) a+1

B) 2018

C) 2019

D) 2018a/a+1

11 / 30

tenglamani yeching.

A) 0

B) 2018

C) 2017

D) 2019

12 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 10

B) 11

C) 12

D) 14

13 / 30

sonning oxirgi raqamini toping.

A) 6

B) 2

C) 8

D) 4

14 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 12π

B) 6 π

C) 10 π

D) 7 π

15 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 3π/2

B) 4π/3

C) 2π/3

D) 3π/4

16 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 3

B) 18

C) 12

D) 6

17 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 2

B) 3

C) 1

D) 4

18 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) (5√3+3)π/3

B) 64√2π/3

C) 8√2π/5

D) 3√2π/4

19 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 32

B) 36

C) 30

D) 25

20 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 4

B) 5

C) 7

D) 6

21 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 2√2/3

B) 3√2+2/4

C) 5√3+3/3

D) 3√3+1/5

22 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [1;6]

B) [2;4]v{2}v[3;∞)

C) (-∞;-6]v{2}v[12;∞)

D) [-2;4]v{6}

23 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) ab/c

B) 1

C) abc

D) ab

24 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 12π

B) 4√3π

C) 2√3π

D) 3π

25 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 2√3

B) 2√5

C) 3√3

D) 4

26 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 135√3/4

B) 67,5

C) 48√3

D) 67,5√3

27 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 16

B) 8

C) 4

D) 12

28 / 30