1kurslar uchun olimpiada testlari

1kurslar uchun olimpiada testlari

1. 
   1,2,3,5 raqamlari takrorlanmasdan 4 ga bo’linadigan nechta to’rt xonali son tuzish mumkin?
   

A) 12 B) 6 C) 3 D) 8

2. 
   x² + x- 1 = 0 tenglama ildizlari kvadratlarining teskarilari ildizlari bo’ladigan tenglamani aniqlang.
   

A) x² + 3x -1 =0 B) x² – 3x – 1= 0 C) x² + 3x +1 =0
D) x² – 3x +1 = 0

3. 
   n ning nechta natural qiymatida ifoda natural son bo’ladi?
   

A) 0 B) 1 C) 2 D) 3

4. 
   To’g’ri tasdiqlarni toping
   

1) parallelogramga ichki aylana chizish mumkin bo’lsa, u rombdir
2) parallelogrammga tashqi aylana chizish mumkin bo’;sa, u to’g’ri to’rtburchakdir.
3) parallelogrammga ichki va tashqi aylana chizish mumkin bo’lsa, u kvadratdir.
A) 1,2 B) 1,3 C) 2,3 D) 1,2,3

5. 
   Ildizlari p va q bo’lgan x² + px + q =0 ko’rinishdagi nechta tenglama mavjud?
   

A) 1 B) 2 C) 3 D) cheksiz ko’p

6. 
   bo’lsa, to’g’ri munosabatni topong.
   

1) a < 2 2) a < 1 3) a >
A) 1,2 B) 1,3 C) 2,3 D) 1

7. 
   Ikki son yig’indisi, ayirmasi va ko’paytmasining nisbati 5:1:18 kabi. Shu sonlarning kichigini toping.
   

A) 1 B) 6 C) 3 D) 4

8. 
   Ikkita natural sonlar kvadratlarining ayirmasi 127 bo’lsa, shu sonlar ayirmasini toping.
   

A) 1 B) 2 C) 3 D) aniqlab bo’lmaydi

9. 
   Kitob sotuvchi bosmaxonada kitob narxining 90%ini to’laydi va o’z narxida sotadi. Sotuvchi necha foiz foyda ko’radi?
   

A) 10% B) 11% C) % D) %

10. 
    11, 31, 41, 61, 71, 101, … qonuniyat bilan yozilgan sonlar ketma-ketligining keyingi hadini toping.
    

A) 101 B) 121 C) 131 D) 141

11. 
    bo’lsa, ni toping
    

A) 1 B) 2 C) 3 D) 4

12. 
    ABC uchburchakning Ab va AC tomonlarida shunday K va N nuqtalar olinganki, ga va gat eng bo’ldi. ABC uchburchakning yuzi 18 ga teng. AKN uchburchakning yuzini toping.
    

A) 4 B) 6 C) 9 D) 2 E) 3

13. 
    (ab + ac + bc) ( a + b + c) – abc = ?
    

A) ( a + c) ( b + c) ( a + b) B) ( a +c) ( b - c) ( a - b)
C) (a + c) ( b + c) ( a - b) D) ( a - c) ( b+ c) ( a - b)

14. 
    
    

A) B) C) D)

15. 
    bo’lsa, x ni toping
    

A) B) C) D)

16. 
    , > 0, > 0, >0, a > 0, b > 0, C > 0 va bo’lsa,
    

b² + c² – 2bc cos ga teng ifodani toping.
A) a sin B) a + b C) a² D) b + c

17. 
    Tomonlari , 3 (3) va 5, (6) bo’lgan uchburchak perimetrini toping.
    

A) 11,3 B) 11, (3) C) 11,2 D) 11,(2)

18. 
    Qavariq to’rtburchak haqidagi to’g’ri tasdiqlarni toping.
    

1) har bir dioganali perimtrining yarmidan kichik
2) qarama-qarshi tomonlarining yig’indisi dioganallari yig’indisi kichik
3) dioganallar ko’paytmasi tomonlari ko’paytmasiga teng
A) 1,2,3 B) 1,2 C) 1,3 D) 2,3

19. 
    yig’indini toping.
    

A) hisoblab bo’lmaydi B) 166550 C) 166600 D) 166650

20. 
    Har bir hadi o’zidan keyingi hadlar yig’indisidan 10 marta katta bo’lgan cheksiz kamayuvchi geometric progressiyaning maxrajini toping.
    

A) 0,1 B) C) D) 0,2

21. 
    To’g’ri burchakli uchburchakning ikki tomoni 5 va 12 bo’lsa, uchinchi tomonini toping.
    

A) B) 13 C) 13 yoki D) 0,2

22. 
    To’g’ri burchakli uchburchakka ichki chizilgan aylana radiusi 1,5 ga ga va tashqi chizilgan aylana radiusi 3 ga teng bo’lsa, katetlar yig’indisini tping.
    

A) bunday uchburchak mavjud emas B) 9 C) 4,5 D) 8 E) 4

23. 
    Berilgan burchak va unga qo’shni bo’lgan ikkita burchaklar yig’indisi gat eng. Berilgan burchakning kattaligini toping.
    

A) B) C) D) E)

24. 
    4x² + ( x-1) a + b = 0 tenglama ildizlari sistemani qanoatlantirsa, b ni toping.
    

A) 4 B) - 4 C) 2 D) – 2 E) aniqlab bo’lmaydi

25. 
    a ning qanday qiymatida 3x² + 2x + a = 0 tenglama ildizlari nisbati 2:3 kabi bo’ladi?
    

A) B) C) D) E)

26. 
    Abssissalar o'qini va nuqtalarda, ordinatalar o'qini esa
    nuqtada kesib o'tuvchi parabolaning tenglamasini yozing
    

A) B) C) D) E) to'g'ri javob berilmagan

27. 
    ning shunday qiymatini topingki, parabola bilan to'g'ri chiziqning kesishish nuqtalaridan birining abssissasi bo'lsin.
    

A) B) C) D) E)

28. 
    Ikki musbat sonning yig'indisi 160 ga teng. Agar shu sonlar kublarining yigindisi eng kichik bo'lsa, shu sonlarni toping.
    

A) 95; 65; B) 155; 5; C) 75; 85; D) 80; 80; E) 90; 70.

29. 
    Ikki musbat sonning yig'indisi a ga teng. Agar shu sonlar kvadratlarining yig'indisi eng kichik bolsa, shu sonlarni toping.
    

A) B) C) D) E)

30. 
    Ifodani soddalashtiring: A) B) C) D) E)
    
31. 
    Sonlarmi kamayish tartibida joylashtiring: A) B) C) D) E)
    
32. 
    Hisoblang: A) B) C) -1 D) 1 E) t.j.y
    
33. 
    tengsizlikning barcha butun yechimlari yig’indisini toping.
    

A) 10; B) 9; C) -9; D) -10; E) -15.

34. 
    tengsizlikning barcha natural yechimlari yig’indisini toping.
    

A) 29; B) 24; C) 25; D) 28; E) 27.

35. 
    ning necha butun qiymatida tenglama haqiqiy ildizga ega emas? A) 10; B) 8; C) 13; D) 12; E) 11.
    
36. 
    ning qanday qiymatlarida tengsizlik x ning barcha qiymatlarida o'rinli bo'ladi? A) B) C) D) E)
    
37. 
    k ning qanday eng kichik butun qiymatida tenglama ikkita turli haqiqiy ildizlarga ega bo'ladi? A) B) C) D) E)
    
38. 
    x ni toping: A) B) C) D) E)
    
39. 
    tenglamaning ildizlari va bo’lsa, ni toping. A) 1 B) C) D) E)
    
40. 
    bo’lsa, ni hisoblang. A)0,59 B)0,49 C)-0,49 D)0,2 E)
    
41. 
    Arifmetik progressiyada ni toping. A) -9797 B) -9798 C) -7979 D) -2009 E) -9697
    
42. 
    Arifmetik progressiyada bo’lsa, ni toping. A) -2 B) 2 C) 100 D) 1250 E) 5
    
43. 
    A) B) C) 1 D)
    
44. 
    Ifodani soddalashtiring. A) B) C) D)
    
45. 
    Tenglamani yeching. A) 6 B) 12 C) 4 D) 8
    
46. 
    Kvadratga tashqi chizilgan aylananing radiusi 8 sm bo’lsa, ichki chizilgan aylananing radiusini toping. A) 2 B) C) D) 4
    
47. 
    Radiusi li aylanaga tashqi chizilgan muntazam 6- burchakning yuzini hisoblang.
    

A) B) 420 C) D) 428

48. 
    burchakning radian o’lchovlarini toping.
    

A) B) C) D)

49. 
    Doiraning yuzi bo’lsa, uning radiusini toping. A) 5 B) 4,5 C) 6 D) 4,8
    
50. 
    va vektorlar orasidagi burchakni toping.
    

A) B) C) D)