Matematika(Majburiy blok)

MATEMATIKA(Majburiy blok)
1. Ikkita ketma-ket keladigan toq son yig’indisi 3 ga bo’linsa, bu yig’indi eng kamida yana nechta natural songa qoldiqsiz bo’linadi?
A) 3 B) 6 C) 5 D) 4
2. 11 dan 99 gacha bo’lgan natural sonlar ichda raqamlari yig’indisi 7 ga teng bo’lgan sonlar yig’indisini toping.
A) 231 B) 308 C) 130 D) 301
3. ga teskari va qarama-qarshi sonni toping.
A) B) C) D)
4. Oddiy kasrning maxraji ortsa kasrning qiymati…
A) ortadi B) kamayadi
C) o’zgarmaydi D) T.J.Y.
5. Hisoblang.
A) 1569 B) 1570 C) 1658 D) 1665
6. ni o’nli kasr ko’rinishida yozing.
A) 6,5401 B) 0,6541 C) 6,541 D) 6,5041
7. Hisoblang.
A) 2 B) 1,5 C) 1 D) 0,5
8. Hisoblang.
A) B) C) D)
9. EKUB (48,100) · EKUK(48,100) ni hisoblang.
A) 2400 B) 1200 C) 4800 D) 12
10. tenglamani yeching.
A) 0,5 B) –0,5 C) 0,75 D) –0,75
11. ni hisoblang.
A) 24 B) 32 C) 16
12. ni hisoblang.
A) B) C) 1 D)
13. 4¹⁰+4¹⁰+4¹⁰+4¹⁰ yig’indisining qismini toping.
A) 2¹⁹ B) 8²⁰ C) 2²⁰ D) 16¹²
14. ning qiymatini toping.
A) B) C) 2 D) 7
15. ifodani standart shaklida yozing.
A) 4x²–1 B) 2x²–3x
C) –3x+1 D) 4x²–5x+1


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MATEMATIKA
1. a va b natural sonlar bo’lib, ularning eng katta umumiy bo’luvchisi 11 ga teng. Agar 3a=8b tenglik bajarilsa, a+b yig’indini hisoblang.
A) 121 B) 64 C) 54 D) 72
2. Agar a+b va 9a–2b o’zaro tub sonlar bo’lib, tenglik bajarilsa, a sonini toping.
A) 5 B) 4 C) 3 D) 2
3. (1–x)(x+3) > 0 tengsizlikning butun yechimlari yig’indisini toping.
A) –2 B) –3 C) 0 D) –5
4. Birinchi quvurdan ikkinchi quvurga qaraganda ikki barobar ko’p suv oqadi. Ikkalasi birgalikda bo’sh hovuzni 12 soatda to’ldiradi. Ikkinchi quvur hovuzning uchdan bir qismini necha soatda to’ldiradi?
A) 12 B) 4 C) 6 D) 9
5. Agar x< -1, y>1 bo’lsa, quyidagi javoblardan qaysi biri doim o’rinli?
A) y⁵>x³ B) x⁴>y C) x²2 D) x⁶2
6. Agar f(4x)=4x+7 bo’lsa, f(f(1)) ni toping.
A) 11 B) 15 C) 26 D) 16
7. funksiyaning eng kichik musbat davrini toping.
A) 2π B) 3π C) 6π D) davriy emas
8. tengsizlikni yeching.
A)
B)
C)
D)
9. Agar x²–5x+2=0 bo’lsa, ning son qiymatini toping.
A) 21 B) 23 C) 15 D) 18
10. Quyidagi javoblardan qaysi biri bo’sh to’plam?
A) A={x,x²2≤0,xϵR}
C) A={x,arcctgx=4,xϵR} D) A={x,3x+5=0,xϵR}
11. ni hisoblang.
A) B) C) D)
12. Hisoblang:
A) 4lnln2x+C B) 8lnln2x+C
C) 2lnln2x+C D) 4ln2x+C
13. Ahmad ikki kun, Arslon ikki kun ishlaganda bir ishning 5/8 qismini bajarishadi. Agar Ahmad uch kun, Arslon ikki kun ishlasa, aynan o’sha ishning 7/8 qismini bajarishardi. Arslon bir o’zi ushbu ishni necha kunda tamomlaydi?
A) 10 B) 16 C) 4 D) 9
14.Agar bo’lsa, tg3α ning qiymatini toping.
A) B) C) D) 1
15. Hisoblang:
sin1⁰+sin2⁰+sin3⁰+…+sin359⁰
A) –1 B) 0 C) sin179⁰ D) 1
16. Ifodani soddalashtiring.

A) a²–9a+10 B) 0 C) a²+4a+10 D) a²–4a+10
17. Teng yonli ΔABC da AB=BC. Uning ichida shunday M nuqta olinganki, va . Agar , ni toping.
A) 40⁰ B) 70⁰ C) 80⁰ D) 100⁰
18. (a²–10a+25)x=a²–4a–5 tenglama a ning qanday qiymatida cheksiz ko’p yechimga ega?
A) a=5 B) a= -1
C) a= -1, a=5 D) a≠1
19. Hisoblang.
(2014∙2017–2015∙2016)⁵=?
A) –32 B) 243 C) –2 D) 32
20. Tavakkaliga 9 ga bo’linadigan 1992 xonali son olingan, uning raqamlari yig’indisi a (3 xonali) bilan, a sonining raqamlar yig’indisi b (2 xonali) bilan, b sonining raqamlari yig’indisi c bilan belgilasak, c nechaga teng?
A) 9 B) 27 C) 81 D) 18
21. Hisoblang.
A) 105 B) 100 C) 90 D) 95
22. a, b va c to’g’ri burchakli uchburchakning tomonlari bo’lsa, (c – gipotenuza) tenglamaning ildizlari sonini toping.
A) 1 B) 0 C) 2 D) 3
23. tengsizlikni yeching.
A) x≤0 B) x=0, x≥1 C) 0≤x≤1 D) x≥1
24. ABC uchburchak uchlarining koordinatalari berilgan: A(-6,8), B(10,0) va C(-3,6). Uchburchak CM medianasi yotgan to’g’ri chiziq tenglamasini tuzing.
A) 2x+5y=24 B) 2x+5y+24=0
C) 2x-5y+24=0 D) 2x-5y-24=0
25. ABC uchburchakda D va E nuqtalar BC tomonni uchta teng qismlarga bo’ladi. (BD=DE=EC), F va G nuqtalar esa AD kesmani 3 ta teng qismlarga bo’ladi (AF=FG=GD). AFE uchburchakning yuzining ABC uchburchak yuziga nisbatini toping.
A) B) C) D)
26. ABCD trapetsiyaning yuzi 12 ga teng, asoslari DC=6, AB=2. BC tomonidan E nuqta olingan bo’lib, BE=2EC bo’lsa, ADE uchburchakning yuzini toping.
A) 12 B) 21 C) 7 D) 16
27. |a–x|A) 4 B) 8 C) –4 D) 0
28. A va B nuqtalar orqali o’tuvchi to’g’ri chiziq absissalar o’qiga parallel. A va B nuqtalar quyidagilarning qaysi biri bo’lishi mumkin?
A)
B)
C)
D)
29. Muntazam to’rtburchakli piramidaning balandligi 7 ga, asosining tomoni 14 ga teng. Piramida yon tomoniga parallel bo’lib, asosining markazi orqali o’tgan kesma yuzini hisoblang.
A) B)
C) D)
30. Nuqtadan tekislikka uzunliklari 10 va 15 sm bo’lgan og’malar tushirilgan. Birinchi og’maning tekislikdagi proyeksiyasi 8 sm bo’lsa, ikkinchi og’maning proyeksiyasi qancha sm bo’ladi?
A) B) C) D)


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