Variant − 18 soat 160 minut sekund necha sekunddan iborat?


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VARIANT − 118
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?

    1. 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

VARIANT − 119


1. ning qiymatini toping.
A) 90 B) 105 C) 100 D) 110
2. 3; y; 2,1 va 2,1 sonlarining o’rta arifmetigi 2,55 ga teng. y ni toping.
A) 2,6 B) 2,1 C) 3 D) 2
3. ni soddalashtiring.
A) 2ab B) −2ac C) 2ab−2bc D) 0
4. ni soddalashtiring.
A) x+1 B) 2x C) 0 D) x−2
5. m ning qanday qiymatlarida tenglik o’rinli bo’ladi?
A) B) C) m>3 D) m=3
6. va tenglamaning ildizlari bo’lsa, ning qiymatini toping.
A) −176 B) −120 C) 176 D) 280
7. tengsizlikni yeching.
A) B) x<4 C) x>4 D)
8. 0,6(3) ni oddiy kasrga aylantiring.
A) B) C) D)
9. ni hisoblang.
A) 9 B) C) 18 D) 3
10. Ikkita to’g’ri chiziqning kesishishidan hosil bo’lgan qo’shni burchaklar 7:8 nisbatda bo’lsa, shu burchaklarni toping.
A) B) 144 C) 38 ; 142 D) 84 ; 96
11. Quyidagi tasdiqlarning qaysilari to’g’ri?
1) tomonlari a, b va c bo’lgan uchburchakka ichki chizilgan aylananing radiusi formula bilan hisoblanadi;
2) radiusi R ga, markaziy burchagi ga teng doiraviy sektorning yuzi formula bilan hisoblanadi;
3) tomoni a ga, burchaklaridan biri ga teng rombning yuzi S= fo’rmula bilan hisoblanadi.
A) 2;3 B) 1;2 C) 1;2;3 D) 1;3
12. Twkislikka og’ma va perpendikular tushirilgan. Og’mning tekislikdagi proyeksiyasi 12 ga, perpendikularning uzunligi 35 ga teng. og’ma va perpendikular orasidagi burchakni toping.
A) arcsin B) arccos C) arctg D) arcsin
13. ni soddalashtiring.
A) 1− B) C) D)
14. Agar m>3, n>5, k<6 bo’lsa 3m+5n−2k ning eng kichik butun qiymatini toping.
A) 14 B) 23 C) 22 D) 13
15. Qaysi juftlik o’zaro tub sonlardan iborat?
A) (11;22) B) (8;14) C) (12;34) D) (39;44)
16. funksiyaning aniqlanish sohasini toping.
A) B) C) D)
17. tengsizlikni yeching.
A) (−2,5;2) B) C) (−2,5;−1,5) D)
18. ni hisoblag.
A) B) C) D)
19. a= bo’lsa, ni a orqali ifodalang.
A) B) C) D)
20. Aylanaga tashqi chizilgan teng yonli trapetsiyaning o’rta chizig’i 8 ga teng. shu trapetsiyaning yon tomonini toping.
A) 8 B) 4 C) 5 D) 7
21.
22. To’g’ri burchakli parallelepiped asosining tomonlari va balandligi qiymatlari 4;3;1,25 kabi nisbatda, parallelepipedning diagonali va tekisligi orasidagi burchagni toping.
A) B) C) arctg4 D)
23. Ikkita sfera yuzlarining nisbati 2; ga teng. Bu sferalar diametrlarning nisbatini toping.
A) B) C) D) 8
24. ni hisoblang.
A) B) 0 C) D)
25. tenglamani yeching.
A) B) C) D)
26. ishchining mehnat unumdorligi 30 ortsa, uning ish normasini bajarishga ketgan vaqti necha foizga qisqaradi?
A) 25 B) 20 C) D)
27. y= funksiyaning aniqlanish sohasoni toping.
A) (−4;4) B) (−4;1] C) (−4;−1) D) (−4;2]
28. tenglamning ildizlari qaysi oraliqqa egishli?
A) B) C) 329. tenglamaning barcha natural yechimlari yig’indisini toping.
A) 1 B) 12 C) 10 D) 15
30. To’g’ri burchagli uchburchakning katetlari 5 va 7,5 ga teng, to’g’ri burchak bissektrisasining uzunligini toping.
A) B) 4 C) D)
31. Asoslari 8 va 14 ga teng bo’lgan teng yonli trapetsiyaning diagonallari o’zaro perpendikula. Trapetsiyanig yuzini hisoblang.
A) 64 B) 100 C) 121 D) 144
32. Agar (1;−1;3) va (4;3;0) bolsa, a ning qanday qiymatida vektor vektorga perpendicular bo’ladi?
A) 2,1 B) C) D)
33. cos2x−sinx−3=0 tenglamani yechin.
A) B) C) D)
34. tengsizlikning yechimlaridan nechtasi butun sonlardan iborat?
A) 8 B) 9 C) 6 D) 7
35. Radiusi5 ga teng bo’lgan doiraga to’g’ri burchakli uchburchak ichki chizilgan. Shu uchburchakka ichki chizilgan doiraning radiusi 1 ga teng. Uchburchakning yuzini toping.
A) B)12 C) 22D) 11
36. O’q, kesimi teng tomonli uchburchakdan iborat konusga diametri D ga teng sfega ichgi chizilgan.
Konusning to’la sirtini toping.
A) B) C) D)
VARIANT-120

  1. 18 ni hisoblang.

A) 155 B) 166 C) 153 D) 180
2.Xaritada ikki shahar orasidagi masofa 4,5 sm ga teng. Xaritadagi masshtab 1:4000000 bo’lsa, shaharlar orasidagi haqiqiy masofa necha km bo’ladi?
A) 270 B) 180 C) 900 D) 90
3. a(b+c−bc)−b(c+−ac)−c(b−a) ni soddalashtiring.
A) 2ac−2bc B) −2bca C) ab−ac D) −2bc
4. ni soddalashtiring.
A) B) C) D)
5. (8x+1) bo’lsa, 8x+1 qanday qiymatlar qabul qilishi mumkin?
A) faqat B) faqat C) 0 yoki 3 D) faqat 0

6. va tenglamaning ildizlari bo’lsa, ning qiymatini toping.


A) 156 B) 94 C) −156 D) −152
7. tengsizliklar sistemasining butun sonlardan iborat yechimlari nechta?
A) 3 B) 5 C) 2 D) 6
8. Quyidagi ketma−ketliklardan qaysilari geometrik progressiyani tashkil etmaydi?
1) 2) ;
3)
A) 3 B) 1;3 C) 2 D) 1
9. x ning qanday qiymatlarida y= funksiya nomanfiy qiymatlar qabul qiladi?
A) x<3 B) C) D)
10. Qo’shni burchaklardan biri ikkinchisidan katta.
Shu qo’shni burchaklarni toping.
A) B) C) D)
11. quyidagi tasdiqlardan qaysilari noto’g’ri?
A) tomonlari a,b va c bo’lgan uchburchakka ichki chizilgan aylananing radiusi formula bilan hisoblanadi;
2) radiusi R ga, markaziy burchagi ga teng doiraviy sektorning yuzi formula bilan hisoblanadi;
3) dioganallari va ga, ular orasidagi burchagi ga teng ixtiyoriy qavariq, to’rtburchakning yuzi fo’rmula bilan hisoblanadi.
A) 2;3 B) 1;2 C) 1;2;3 D) 1;3
12. Tekislikka og’ma va perpendikular tushirilgan. Og’ma va tekislik orasidagi burchak arccos ga, og’maning tekislikdagi proyeksiyasi 80 ga teng. Perpendikularning uzunligi toping.
A) 36 B) 40 C) 30 D) 18
13. ni soddalashtiring.
A) B) −2 C) D)
14. x raqamining qanday eng kichik qiymatida
(642+2x2) son 3 ga qoldiqsiz bo’linadi?
A) 0 B) 5 C) 7 D) 2
15. 25 va 15 sonlari eng kichik umumiy karralisining natural bo’luvchilari nechta?
A) 4 B) 5 C) 7 D) 6
16. Agar f(x+1)= bo’lsa, f(x) ni toping.
A) B) C)
D)
17. 7−x (x−2) +3(x−2) tengsizlikni yeching.
A) B) C)
D)
18. ni hisoblang.
A) B) C) D) 1
19. a=log 3, b=log 3 c=log 4 sonlarni o’sish tartibida joylashtiring.
A) cVatarlar orasidagi burchakni toping.
A) 60 B) 45 C) 120 D) 135



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