Variant-A 3-5 mart
1. 1 soat 160 minut 5 sekund necha sekunddan iborat?A) 12205 B) 106005 C) 13205 D) 14205
2. ning qiymatini toping. A) B) C) D) 0,04
3. ni qisqartiring. A) B) C) D) x−y
4. (x−1)(2−x)+(x−3) ko’phadni standart shaklga keltring.
A) B) −3x+7 C) D) 9x+7
5. (2x−1)(x−1,5)=0 bo’lsa, 2x−1 qanday qiymatlar qabul qiladi?
A) faqat B) 2 yoki 0 C) 0 yoki 1,5 D) 0 yoki
6. tenglamaning ildizlaridan biri −14 ga teng. Uning ikkinchi ildizini toping. A) 27 B) −1 C) −27 D) 1
7. tengsizlikni yeching.
A) B) C) D)
8. ning qiymatini hisoblang. A) B) C) D)
9. ni hisoblang. A) 7 B) C) 15 D) 5
10. Ikkita to’g’ri chiziqning kesishidan hosil bo’lgan qo’shni burchaklarning ayirmasi ga teng. Shu burchaklardan kichigini toping. A) B) 60 C) D)
11) Quyidagi tasdiqlarning qaysilari notog`ri?
1) tomonlari a, b va c bo`lgan uchburchakka ichki chizilgan aylana ning radiusi fo`rmula bilan hisoblanadi;
2) tomonlari a va b ga, ular orasidagi burchaklardan biri teng bo`lgan parallelogramning yuzi fo`rmula bilan hisoblanadi; 3) o`xshash figuralar yuzalarining nisbati ularning mos chiziqli o`lchovlarining nisbatiga teng. A) 2;3 B) 1;2 C) 1;2;3 D) 1;3
12. Tekislikka tushirilgan og`maning uzunligi 75 ga, uning tekislikdagi proyeksiyasi esa 72 ga teng. Og`ma va tekislik orasidagi burchakni toping.
A) B) C) D)
13. ni soddalashtiring.
A) B) C) D)
14. 24 sonining barcha natural bo`luvchilari yig`indisini toping.
A) 48 B) 60 C) 124 D) 128
15. hisoblang.
A) B) C) D)
16. f(−2)=5 va f(2)=3 shartni qanoatlantiruvchi chiziqli funksiyani aniqlang.
A) f(x)=2x−1 B) C) D) f(x)=2x+1
17. tengsizlikni yeching.
A) B) C) D)
18. integralni hisoblang.
A) B) C) D)
19. tengsizlikni yeching.
A) B) C) D)
20. Uchburchakning asosiga tushirilgan medinasi uni perimetrlari 18 va 24 ga teng bo`lgan ikki uchburchakka ajratadi. Berilgan uchburchakning kichik yon tomoni 7 ga teng. Uning katta yon tomonini aniqlang.
A) 12 B) 10 C) 13 D) 14
21. To`g`ri to`rtburchakning katta tomoni 13 ga dioganallarining kesishish nuqtasidan katta tomonigacha bo`lgan masofa 3 ga teng. To`gri torburchakni yuzini toping.
A) 78 B) 96 C) 72 D) 48
22. Muntazam to`rtburchakli piramidaning balandligi 24sm, apofemasi esa 26 sm. Piramida asosining perimetirini toping.
A) 48 B) 40 D) 80 D) 96
23. Yasovchisi 26 ga va balandligi 10 ga teng bo`lgan konus asosining yuzini toping.
A) B) C) D)
24. (2+cos )(1+tg ) +4sin ifodaning eng kichik qiymatini toping.
A) 1,5 B) 2,5 C) 3 D) 2
25. sin5x cos2x=cos5x sin2x+0,5 tenglamaning ildizlarini ko`rsating.
A) B) C) D)
26. 520 soni shunday ikki bo`lakka bo`linganki ulardan birining 80% i ikkinchisining 24% ini tashkil etadi. Bo`laklardan kichigini toping.
27. f(x)= funksiyaning eng katta qiymatini toping.
A) 1,5 B) C) 2 D) 3
28. Qisqarmaydigan oddiy kasrning maxraji suraidan 18 taga ko’p. Agar kasirning suratiga 379 ni qo’shsak, berilgan kasirga teskari kasr hosil bo;ladi. Berilgan kasirning maxrajoini toping.
A) 19 B) 17 C) 14 D) 13
29. Agar x +x−4=0 tenglamaning ildizlari x bo’lsa, x + ning qiymati qanchaga teng bo’ladi? A) 3 B) 1 C) −13 D) 2
30. To’g’ri burchakli uchburchakka ichki va tashqi chizilgan aylanalar radiuslarining nisbati 4:13 kabi. Kichik kaket uzinligining katta katet uzinligiga nisbatini aniqlang.
A) 5:12 B) 3:4 C) 4:13 D) 5:13
31. nuqtaning koordinatlari yig’indisi 6 ga teng. Bu nuqta va koordinat boshi orasidagi eng qisqa masofa qanchaga teng bo’ladi?
A) B) C) D)
32. Agar vector vektorga kollinear va bo’lsa, vektorning uzinligini toping.
A) B) 14 C) D)
33. tengsizlik x ning oraliqqa tegishli qanday qiymatlarida o’rinli bo’ladi?
34. tengsizlikning butun sonlardan iborat nechta yechimi bor? A)1 B) 0 C) 3 D) 2
35. Doiraga ichki chizilgan uchburchakning bir tomoni uning diametriga teng. Doiraning yuzi ga, uchburchak tomonlaridan birining uzinligi 30 ga teng. Shu uchburchakka ichki chizilgan doiraning yuzini toping.
36. Sharga konus ichki chizilgan. Konusning yasovchisi asosining diametriga teng. Shar hajmining konus hajmiga nisbatini toping.
A) 8:3 B) 32:9 C) 27:4 D) 16:9
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