Matematika fanidan test savollari

MATEMATIKA FANIDAN TEST SAVOLLARI
1. tenglamaning ildizlari yigindisini toping.
A)0 B)5 C)6 D)-12

2. funksiyaning aniqlanish sohasini toping.

A) B) C) D)

3. ni soddalashtiring.

A)7 B) C)a+5 D)7a-7
4. Ildizlari va bo’lgan kvadrat tenglama tuzing.
A) B)
C) D)

5. funksiyaning eng katta qiymatini toping.

A)5,5 B)5 C) D)4

6. n burchakli ko’pburchakning ichki va tashqi burchaklari orasidagi munosabat S_ichki=S_tashqi+720⁰ ga teng. n nechaga teng.

A)8 B)10 C)14 D)16

7. va bo’lsa, ning qiymatini toping.

A) B)
C) D)

8. ABC to’g’ri burchakli uchburchakda AB gipotenuza, AK va BN bissektrissalar. Agar AB=12 va AK²+BN²=169 bo’lsa, KN ning uzunligini toping.

A)5 B)2,5 C)6 D)4

9. “Firot” o’quv markaziga keladigan 36 ta talabadan 24 tasi matematika to’garagiga, 18 tasi ingliz tili to’garagiga qatnaydi. Matematika to’garagiga qatnaydigan talabalar soni ingliz tili to’garagiga qatnaydigan talabalar sonidan nechta marta ortiq?

A)2 B)1,5 C)2,5 D)3

10. Agar , , bo’lsa, ni qiymatini toping.

A)abc+1 B)a+b+c C)abc+2 D)ab+2c

11. Hisoblang.

A) -3 B) -2 C) 3 D) 2
12. ni hisoblang.
A)137446 B)137447 C)241584 D)241586

13. vektorga yo’nalishdosh birlik vektorning koordinatalarini toping.

A)(1;0;1) B) (1;1;1) C) (0;1;-1) D) (1;0;-1)

14. To’rburchakli muntazam kesik piramidaning balandligi 7 sm ga teng. Asoslarining tomonlari

10 sm va 2 sm ga teng. piramidaning yon qirrasini toping.
A)8 B)9 C)11 D)10
15. , ning qiymatini toping.
A)8 B)10 C)6 D)2

16. 12x-5y-18=0 va -12x+5y-8=0 to’g’ri chiziqlar orasidagi masofani toping.

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

17. Cheksiz kamayuvchi geometrik progressiyaning birinchi hadi ikkinchisidan 8 ga ortiq, hadlarining yig’indisi esa 18 ga teng. progressiyaning uchinchi hadini toping.

A) B) C) D)
18. tengsizlikni yeching.
A)[-1;4] B)[-1;4) C) D)(2;4]

19. funksiyaning eng katta qiymatini toping.

A)12 B)14 C)9 D)4

20. Uchburchak burchaklarining kattaliklari 1:2:3 nisbatda, kichik tomoni sm ga teng bo’lsa, uchburchakning perimetrini toping.

A)8+ B)3(2+ ) C)9+ D)6 (1+ )

21. ni soddalashtiring.

A) B)1+ C) D)1+

22. ning qiymatini toping.

A)20 B)8000 C)80 D)20
23. (x+1)+(x+2)+(x+3)+…+(x+28)=378 tenglamani yeching.
A)-1;1 B)1 C)-1 D)2
24. yig’indini chorak qismini toping.
A) B) C) D)
25. funksiya uchun grafigi M(9;10) nuqtadan o’tuvchi boshlang’ich funksiyani toping.
A) B) C) D)
26. Quyidagi tengsizliklardan qaysilari ning barcha qiymatlarida o‘rinli?
1)
2)
3)
4)
A) 2;3 B) 1;3 C) 1;4 D) 2;4

27. Hosilalar uchun formulalarning qaysilari to‘g‘ri?

1) ; 2) ;
3) ; 4) 5)
A) 3; 4; 5 B) 1;2;4 C) 1;2;5 D) 2;4; 5

28. tenglamani eching.

A) B)
C) D)
29. Quyidagi sonlardan qaysi biri ga teng emas?
A) B) C) D)

30. p ning qanday qiymatlarida tenglama musbat ildizga ega?

A) B) C) D)
31. ning qiymatini hisoblang.
A) B) C) D)
32. tenglamani eching.
A) B)
C) D)
33. Matematikadan o‘tkazilgan imtixonda o‘quvchilarning 12% i birorta ham masalani echa olmadi, 210 ta o‘quvchi masalalarni echishda xatolikka yo‘l qo‘ydi. Agar barcha masalalarni to‘liq yechgan o‘quvchilarning masalalarni umuman echa olmagan o‘quvchilarga nisbati 7 : 3 kabi bo‘lsa, qancha o‘quvchi imtixon torshirgan?
A) 260 B) 480 C) 470 D) 350

34. tengsizlikni qanoatlantiruvchi butun sonlarning yig‘indisini toring.

A) 15 B) 45 C) 35 D) 28

35. ifodaning qiymatini ko‘rsating.

A) 2 B) 1 C) 5 D) 3

36. Tomonlari 11,12 va ga teng bo‘lgan uchburchakning katta tomoniga tushirilgan medianasi uzunligini toring.

A) 6 B) 10 C) 8 D) 8,5
37. Aylanaga tashqi chizilgan teng yonli trapetsiyaning asoslari 54 va sm. Aylananing radiusi nesa sm?
A) 16 B) 15 C) 18 D) 12

38. Ikkita buyumning birlikdagi bahosi 40000 so‘m turadi. Agap birinchi buyumning bahosi 15% ga kamaytirilsa, ikkinchisiniki esa 20% ga orttirilsa, ular birgalikda 39005 so‘m turadi. Birinchi buyumning dastlabki bahosini toping.

A) 25700 B) 14200 C) 16445 D) 29555

39. ning qiymatida tenglamaning va ildizlari orasida munosabat o‘rinli bo‘ladi?

A) 3 B) -3 C) D)
40. n ning qanday qiymatida va vektorlar perpendikulyar bo‘ladi?
A) 1 B) 3 C) 4;2 D) 2
41. funksiyaning hosilasini toping.
A. B. C. D.

42. ni hisoblang.

A) B) C) D)
43. tengsizlikni eching.
A) B) C) D)

44. Apifmetik progressiyaning to‘rtinchi va o‘n birinchi xadlari mos ravishda 15 va 43 ga, teng. SHu progressiyaning uchinchi va o‘ninchi xadi yig‘indisini toping.

A) 68 B) 60 C) 50 D) 24
45. tengsizlikni eching.
A) B)
C) D)

46. ni soddalashtiping.

A) B) C) D)

47. 59 ni bo‘lganda, qoldiq 9 chiqadigan barcha natural sonlarning yig‘indisini toping.

A) 45 B) 55 C) 85 D) 50

48. tenglamani eching.

A) B) C) D)

49. tenglamani eching.

A) B)

C) D)
50. ni hisoblang.
A) B) C) -0,5 D) 1

51. Ushbu y=x²-4x+3 porabolaning uchi koordinatalari tekisligining qayerida joylashgan.

A. I B. II C.III D. IV

52.Ushbu y=-3x² +8x-3 funksiyaning grafigi qaysi choraklarda joylashgan.

A.I,II,III B.III, IV C. III,IV D. II, III, IV

53.Tengsizlikni yeching. (x-1) (x+2)>0

A.(- :-2) (1:+ ) B. (- :+ ) C. (- :-1) D.(-2: 1)

54. Tengsizlikni yeching.

A. B. C.(- :1) D. ( 1:2)

55.Funksiyaning aniqlanish sohasini toping.

y=
A. B. C. D.

56.Hisoblang.

A. 45 B. 15 C. 5 D.3

57. Hisoblang.

A. B. C. D.

58. f(x) = funksiyaning qiymatlar sohasini toping.

A.

59. y = funksiyaning qiymatlar sohasini toping.

60. 240⁰ ning ragian o`lchovini toping

61. radian necha gradus bo`ladi.

A.220 B. 225 C. 230 D. 235
62. Arifmetik progressiyada a₂ – a₁ = 6 bo`lsa a₈ – a₆ ni toping.
A. 10 B. 11 C. 12 D. 18

63. Arifmetik progressiyada a₃ + a₅ = 12 bo`lsa S₇ = ?

A. 42 B. 18 C. 36 D. 48.

64. Geometrik progressiyada b₂b₃b₄ =216 bo`lsa b₃ = ?

A. 10 B. 12 C. 4 D. 6.

65. 64; 32; 16 geometrik progressiyaning to`qqizinchi hadi oltinchi haddan nechta kam.

A. 1,025 B. 1,5 C. 1,25 D.1,75

66. ni hisoblang.

67. 2 ta o`zshash uchburchaklarning yuzalari 6 va 24, ulardan birining perimetri ikkinchisinikidan 6 ga ortiq. Katta uchburchakning p=?

A. 18 B.12 C.20 D.8

68. ABllCD , CA va DB to`g`ri chiziqlar 0 nuqtada kesishadi. OA= 5sm

OB=4 sm, OD=9 sm , OC =?
A. 10,8 B. 10,5 C. 11,25 D. 11,3

69. ABC uchburchakka AD mediana AB va AC tomonlar bilan mos ravishda 30⁰ va 60⁰ li burcak hosil qiligan. Agar AB ga teng bo’lmasa , AC ni toping.

A. B.1 C. D. 1

70. To`g`ri burchakli uchburchakning burchaklaridan biri 60⁰ ga, gipotenuzaga tushirilgan medianasi 15 ga teng. Kichik katetining uzunligini toping.

A. 7,5 B. 10,5 C. 15 D. 12

71. Radiusi 5 sm bo`lgan doiradagi 8 smli vatar doira markazidan necha sm uzoqlikda bo`ladi?

A. 4 B. 5 C. 3 D. 2,8

72. Radiusi 8 ga teng aylananing radianga teng bo`lgan yoyning uzunligini aniqlang.?

A. B. C. 2 D. 4

73. To`g`ri burchakli uchburchakka ichki chizilgan aylananing radiusi qaysi javobda to`g`ri ko`rsatilgan.

A. B. C. D.

74.Muntazam uchburchakning balandligi 9 sm.. Uchburchakka ichki chizilgan aylananing radiusini toping.

A.6 B. 4,5 C. 2,5 D. 3

75.Tomonlari 8, 15 va 17 sm bo`lgan uchburchakka tashqi chizilgan aylananing radiusini toping.

A.8 B. 9 C. 9,5 D. 8,5


76. ifoda qachon ma’noga ega emas?
A. a>0 yoki b>0 B. a<0 yoki b<0 C. a>2 D. a=b
77. ning qiymati nechaga teng?
A. 4 B. -4 C. D. 16
78. hisoblang.
A. 1 B. 2 C. 3 D. 4
79. ning qiymati nimaga teng?
A. 2 B. -2 C. 7 D. mavjud emas
80.Tenglamani yeching.

A. 12 B. 13 C. 14 D. 15

81. Hisoblang.

A. 1 B. 2 C. 3 D. 10
82. Hisoblang.
A. 1 B. 2 C. 3 D. -3
83. Hisoblang.
A. -3 B. -2 C. 3 D. 2

84. Hisoblang.

A. 3 B. 2 C. 1 D. -2

85. Hisoblang.

A. 2 B. C. D.
86. Quyidagilardan qaysi biri ma’noga ega emas?

A. B. C. D.

87. ning qiymatini hisoblang
A. 2 B. 1 C. D.
88. bo’lsa x ni toping.
A. 9 B. 27 C.8 D. -1
89. Qaysi biri katta? va
A. > B. < C. =
90. quyidagilardan qaysi biriga teng?
A. -4 B. 4 C.-3 D. 1000
91. ni hisoblang.
A. B. C. D.
92. cos1110° ni hisoblang.
A. B. C. D.
93. Yig’indini ko’paytmaga keltiring: cos72° + cos48°
A. cos12° B. sin12° C. - cos12° D. cos120° cos24°

94. 5sin90⁰ +2cos0⁰-2sin270⁰+10cos180⁰ ni hisoblang .

A) -3 B) -1 C) 9 D) 19

95. sin855 ning qiymatini toping.

A. B. C. D. 0

96. ning qiymatini toping.

A. B. C. D.

97. hisoblang.

A. B. C. D.
98. Ko’paytmaga keltiring: cos6x + cos4x
A. 2∙cos10x∙cos2x B. 2∙cos5x∙cosx
C. 2∙sin5x∙sinx D. 2∙sin10x∙sin2x

99. ni hisoblang.

A. -1 B. 0 C. 2 D. 1

100. Yenglamani yeching.
A. x=± +πn, nЄZ C. x=± +2πn, nЄZ
B. x=± +πn, nЄZ D. x=± +2πn, nЄZ