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Matematika
9-sinf II variant
1. sonini 19 ga bo`lgandagi qoldiqni toping.
A) 5 B) 4 C) 3 D) 2
2. Tengamani yeching: (x + 2) (x + 4)( x - 6) (x - 8) = 2925
A) x1 = 6, x2 = 15 B) x1 = - 8, x2 = - 11
C) x1 = - 7, x2 = 11 D) x1 = 10, x2 = 11
3. ning eng kichik qiymatini toping.
A) 10 B) 9 C) 8 D) 6
4. o’sib borish tartibida joylashtiring
A) a,c,d,b B) a,d,c,b C) a,d,b,c D)a,b,c,d
5. tenglama ildizlari yig‘indisini toping.
A) -0,5 B) 0,5 C) 1,5 D) – 1,5
6. funksiya aniqlanish sohasiga tegishli eng kichik butun sonni toping.
A) -1 B) 0 C) 1 D) 2
7. Agar bo‘lsa, ni soddalashtiring.
A) 2 B) C) 1 D)
8. tenglamaning nechta manfiy ildizi bor?
A) tenglama manfiy yechimlarga ega emas.
B) tenglama manfiy yechimlarga ega.
C) tenglama 1 ta manfiy yechimga ega.
D) tenglamani yechimlari yo‘q.
9. f(0)=0, f(1)=1 va har bir uchun, f(3n-1)=f(n)-1, f(3n)=f(n), f(3n+1)=f(n)+1 bo`lsa
f(2011) ni toping:
A) 7 B) 5 C) 3 D) 1
10. Idishda 12 litr sulfat kislota bor. Unga qancha suv qo‘shsak, 30 % li sulfat kislota eritmasi hosil bo‘ladi?
A) 26 B) 30 C) 32 D) 28
11. Hisoblang:
A) 1 B) 2 C) 3 D)
12. Agar bo‘lsa, ni soddalashtiring.
A) B)
C) D)
13. . Barcha shartlarni qanoatlantiruvchi (x,y,z) sonlar uchligiga yechim deyiladi. Nechta yechim mavjud?
A) 3 B) yechimi yo‘q C) 2 D) 1
14. Quyidagi ikki sondan qaysi biri katta: mi yoki mi?
A) B)
C) D)
15. an ketma-ketlikda a1=1, a3=4 va har bir uchun an+1 + an-1=2an+1 bo`lsa a2011 ni toping.
A) 22010 B) 2021056 C) 1010528 D) 3016
16. (x + 1) + (x + 4) + . . . +(x + 28) == 155 tenglamani yeching.
A) x = 1 B) x = -1 C) x = 2 D) x = -3
17. ni ga bo‘lganda qoldiqni toping.
A) 5 B) 7 C) 8 D) 9
18. m ning qanday qiymatlarida tengsizlik barcha x larda to‘g‘ri bo‘ladi?
A) B) C) D)
19. Agar bo’lsa, ning qiymatini toping. (Bu yerda )
A) a, b, c ga bog’liq B) 0 C) 2 D) 1
20. Ikki son yig‘indisi 90 ga, ulardan birining 40 % ikkinchisining qismiga teng. Shu sonlardan kattasini toping.
A) 65 B) 55 C) 60 D) 70
21. Tomonlari 6 dm, 8 dm va 10 dm bo‘lgan uchburchakning yuzasini hisoblang.
A) 0,24 B) 2,4 C) 30 D)
22. Aylanadagi nuqtadan diametrga o‘tkazilgan perpendikulyar uni 1 sm va 4 sm kesmalarga bo‘ladi. Perpendikulyar uzunligini toping.
A) 5 sm B) 3 sm C) 2 sm D) sm
23. ABC uchburchak va katetlari 5 sm va 12 sm. Bissektrisalarning kesishish nuqtasi O bo‘lsa, AOB uchburchak yuzasini toping.
A) 30 B) 13 C) 15 D) 12,5
24. va nuqtalar ABCD kvadratning uchlari bo‘lsa, kvadrat yuzasini toping.
A) 25 B) 12,5 C) 10 D) 7,5
25. Teng yonli uchburchakka tashqi va ichki chizilgan aylanalarning radiuslari nisbati ga teng. Uchburchakning burchaklarini toping.
A) B)
C) D)
26. ABCD parallelogrammda AB = 5 sm, AC = 10 sm va D nuqtadan AC tomongacha masofa 3 sm ga teng. U holda D nuqtadan AB tomongacha masofani toping.
A) 5 B) 6 C) 3 D) 4
27. yig’indini hisoblang.
A) B) C) D)
28. To‘rtta nuqta aylanani yoylarining nisbati 1:2:4:5 bo‘lgan qismlarga ajratadi. Uchlari shu nuqtalarda bo‘lgan to‘rtburchakning diagonallari orasidagi burchakni toping.
A) B) C) D)
29. tengsizlikni yeching.
A) B) C) D)
30. Nechta butun sonlar juftliklari tengsizlikni qanoatlantiradi?
A) 20000 B)20201 C) 19801 D) 20001
31. tenglamani yeching.
Javob ____________________________________
32. P(x) ko`phadda barcha x uchun (x-1)P(x+1)-(x+2)P(x)=0 va P(2)=6 bo`lsa
Javob ____________________________________
33. Tenglamalar sistemasini yeching:
Javob ____________________________________
34. Quyidagi yig‘indini hisoblang:
Javob ____________________________________
35. a,b,c uchlik x3-x+1=0 ning ildizlari bo’lsa ni toping
Javob ____________________________________
36. Tenglamalar sistemasini yeching:
Javob ____________________________________
37. Tenglamalar sistemasini yeching:
Javob: ____________________________
38. Quyidagi tenglamalar sistemasini yeching:
Javob: ____________________________
39. To‘g‘ri burchakli uchburchakning gipotenuzasiga parallel bo‘lgan o‘rta chizig‘i uchburchakni perimetrlarining nisbati 6:8 bo‘lgan qismlarga ajratadi. Uchburchak katetlarining nisbatini hisoblang.
Javob: ____________________________
40. 100 so‘mga 100 dona parranda - g‘oz, o‘rdak va jo‘jalar sotib olindi. Agar g‘oz 10 so‘m o‘ rdak 5 so‘m va jo‘ja 50 tiyin tursa,har bir parrandadan nechtadan sotib olingan?
Javob: ____________________________
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