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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4720

B) 4760

C) 4716

D) 4680

2 / 30

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

A) (-∞;2)v(2;∞)

B) (∞;∞)

C) (-∞;2)

D) (2;∞)

3 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 0

B) 1

C) 3

D) 2

4 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 2m-7

C) 7-2m

D) m

5 / 30

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

A) 20

B) 32

C) 16

D) 24

6 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 1

B) 5

C) 3

D) 2

7 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 3

B) 1

C) 4

D) 2

8 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (-∞;6)

B) (-∞;6])v[6;∞)

C) (2;∞)

D) 6

9 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 56π

B) 96π

C) 100π

D) 72π

10 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 9

B) 7

C) 6

D) 10

11 / 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) 30

B) 32

C) 36

D) 25

12 / 30

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

A) 18

B) 47

C) 60

D) 120

13 / 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) 5/720

B) 6/720

C) 1/60

D) 5/24

14 / 30

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

A) 9

B) 10

C) 12

D) 11

15 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 12

B) 25

C) 15

D) 30

16 / 30

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

A) e>b>a>d>c

B) a>b>c>d>e

C) b>a>c>d>e

D) b>c>a>d>e

17 / 30

A) 1

B) 0

C) 2

D) √6

18 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 90°

B) 60°

C) 30°

D) 72°

19 / 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) 6

D) 10

20 / 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) 48√3

C) 67,5√3

D) 67,5

21 / 30

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

A) 22222222220

B) 2222222175

C) 222222222222

D) 222220175

22 / 30

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

A) {-1;3}

B) {1;2}

C) {-1;2}

D) {2;4}

23 / 30

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

A) (-∞;-6]v{2}v[12;∞)

B) [2;4]v{2}v[3;∞)

C) [1;6]

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

24 / 30

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

A) 4

B) 6

C) 3

D) 5

25 / 30

tenglamani yeching.

A) 2019

B) 2017

C) 2018

D) 0

26 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) -12

C) 35/4

D) 6

27 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (–4;3)

C) (4;–3)

D) (3;–4)

28 / 30

ifodaning qiymatini toping.

A) -0,5

B) 0

C) 0,5

D) -2

29 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 0,5

B) 1

C) 1/√2

D) 1/√3

30 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 10

B) 10 yoki 50

C) 50

D) 2 yoki 50