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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 147

B) 228

C) 231

D) 150

2 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 7000

B) 7200

C) 6200

D) 6900

3 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 1, 3

B) 1, 2

C) 2

D) 3

4 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1/6

B) 1,2

C) 1/2

D) 1

5 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 2

B) √2

C) 4

D) 2√2

6 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) 3

B) √37

C) √32

D) 6

7 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) b>a>c>d>e

B) b>c>a>d>e

C) a>b>c>d>e

D) e>b>a>d>c

8 / 30

Hisoblang

A) 1/2

B) √3

C) 2

D) √3/2

9 / 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) 3√2+2/4

B) 5√3+3/3

C) 2√2/3

D) 3√3+1/5

10 / 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) 30

C) 36

D) 25

11 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 4S

B) 3S

C) 2S

D) 0,5S

12 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 32

B) 20

C) 24

D) 16

13 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 1

B) 2019

C) 0

D) cheksiz ko’p

14 / 30

ifodaning qiymatini toping.

A) -2

B) -0,5

C) 0

D) 0,5

15 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) toq funksiya

B) juft ham emas, toq ham emas funksiya

C) juft funksiya

D) bunday funksiya mavjud emas

16 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,5

B) -1

C) -0,75

D) -0,25

17 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 5/24

B) 1/60

C) 6/720

D) 5/720

18 / 30

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

A) 6 π

B) 12π

C) 7 π

D) 10 π

19 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) (2;∞)

C) (-∞;2)

D) [2;∞)

20 / 30

A) 2

B) 0

C) √6

D) 1

21 / 30

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

A) 12

B) 9

C) 10

D) 11

22 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 4

B) 3,5

C) 3

D) 2

23 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±6

B) -1;-6

C) -1;6

D) ±;±6

24 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga ortadi

B) 2,5% ga ortadi

C) o‘zgarmaydi

D) 6,25% ga kamayadi

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) 4

B) 2√3

C) 2√5

D) 3√3

26 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (4;–3)

C) (–4;3)

D) (4;3)

27 / 30

x(t)=t²+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

A) 8

B) 7

C) 10

D) 6

28 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 47

B) 60

C) 18

D) 120

29 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999