A) 24 B) 32 C) 24 D) 47
2. To’rtta sonning yig’indisi 144 ga teng , ulardan dastlabki 3 tasi 4,5 va 9 sonlariga to’g’ri proporsional. Birinchi va to’rtinchi sonlar esa 6 va 4 sonlariga teskari proporsional. Ikkinchi sonni toping.
A)35 B)30 C)25 D)40
3. ni soddalashtiring.
A) 2-5 B)10 C)10 D)-10
4. Agar bo’lsa ning qiymatini toping.
A) 36 B)42 C)12 D)52
5. Hadlari bn =3n-10,5 (n€N) formula bilan berilgan ketma-ketlikning dastlabki 40 ta hadi yigi’disini toping.
A) 4860 B) 2040 C) 5140 D) 5440
6. y = 4- funksiyaning grafigiga =2 nuqtada o’tkazilgan urinma va kordinat o’qlari bilan chegaralangan yuzini toping.
A) 4 B) 8 C) 3 D) 6
7. f(x) = - funksiyaning kesmadagi eng katta va eng kichik qiymatlarni yig’indisini toping.
A) - B) 0 C) D) 2
8. ning qiymatini hisoblang.
A) B) C) D)
9. tengsizlikni yeching.
A) ( ) B) ( )
C) ( ) D) ( )
10. 4 tenglamani yeching.
A) , nэZ B) , nэZ
C) , nэZ D) , nэZ
11. Korxonada mahsulot ishlab chiqarish birinchi yili 16% ga ikkinchi yili 15% ga ortdi. Maxsulot ishlab chiqarish ikki yil mobaynida necha % ga ortgan?
A) 33,4 B) 34,7 C) 35 D) 33
12. tengsizlikni yeching.
A) (-∞; -11)(-11;7) B) (-∞; 7)
C) (7; +∞) D) (-11; 7)(7;+∞)
13. tengsizlikning barcha butun sonlardagi yechimlari yig’indisini toping.
A) 84 B) 90 C) 88 D) 77
14. funksiyaning qiymatlar sohasini toping
A) (4;∞) B) (-∞;4) C) (-4;∞) D) (-4;4)
15. Agar bo`linuvchi ga, bo`linma ga va qoldiq -3 ga teng bo`lsa, bo`linuvchini toping.
A) B)
C) D)
16. k va l ning qanday qiymatlarida giperbola va y=kx+l to’g’ri chiziqlar M(3;2) nuqtadan o’tadi?
A) (-6;16) B) (-6;-16) C) (6;16) D) (6;-16)
17. Tekislikda yotmaydigan A nuqtadan tekislikka og’ma va perpendikulyar o’tkazilgan. Agar og’ma uzunligi 35 va og’ma bilan tekislik orasidagi burchak arctg bo’lsa, og’maning tekislikdagi proyeksiyasi uzunligini toping?
A) 21 B) 28 C) 23 D) 25
18. (1;-1;-2) va (3;7;14) vektorlar parallelogrammning qo’shni tomonlari. Uning AC va BD diagonallari orasidagi burchakni toping.
A) arccos B) arccos C) arccos D) arccos
19. tomonining uzunligi 22+13 ga teng muntazam uchburchakka ichki chizilgan kvadratning yuzini toping.
A) 363 B) 272,025 C) 544,05 D) 720
20. y=(7x-13)lgx funksiyaning hosilasini toping.
A) –(7x-3)lgx B) 7lnx- C) D) 7lgx+ ln10
21. a=25 + 2-5 va b=25 – 2-5 bo’lsa, a2 – b2 + 10 nimaga teng?
A) 10 B) 12 C) 14 D)
22. x1 va x2 x2+px-27=0 tenglamani ildizlari. ni p orqali ifodaalng.
A) B) C) 27p D) -27p
23. 2· · · ni hisoblang
A) -9 B) -10 C) -4 D) -8
24) a= bo’lsa ni a orqali ifodalang.
A) B) C) D)
25. Muntazam to’rtburchakli prizmaning hajmi 1944 ga, yon sirti 432 ga teng. Prizma asosining simmetriya markazidan ustki asosining uchigacha bo’lgan masofani toping.
A) 12 B) 9 C) 15 D) 8
26. Uchburchakli piramida asosining tomonlari 3,4 va 6 ga teng, barcha yon qirralari asos tekisligiga burchak ostida og’ishgan. Piramidaning hajmini toping.
A) 6 B) 18 C) 12 D) 3
27. To’g’ri burchakli uchburchakka ichki va tahqi chizilgan aylanalarning radiuslari mos ravishda 10 va 61 ga teng. Berilgan uchburchakning perimetrini toping.
A) 142 B) 198 C) 274 D) 264
28. Radiusi 10 ga teng aylanaga tahqi chizilgan trapetsiyaning yuzi 500 ga teng. Shu trapetsiyaning katta asos uzunligini toping.
A) 25 B) 40 C) 35 D) 50
29. Perimetri 164 ga, diagonallari yig’indisi 98 ga teng bo’lgan rombning yuzini toping.
A) 420 B) 620 C) 720 D) 820
30. Agar a1) a-3-3,3b
A) (2;3) B) (1;3) C) (1;2) D) (1;2;3)
31. - tengsizlikni yeching
A) (0;1) B) (-4;-1) C) (2;3) D) ( -2;1)
32. Agar tgα= va bo’lsa sinα – cosα ning qiymatini toping
A) - B) C) D) -
33. Agar 25 bo’lsa ifodaning eng kichik qiymatini toping
A) 1,25 B) 1,6 C) D) 0,2
34. a=2+5i va b=4-i kompleks sonlar a:b bo’linmasini toping.
A) B) C) D)
35. y= funksiyaning aniqlanish sohasini toping.
A) (1;4) B) C) D) (1;
36) y= funksiyaga teskari funksiyani aniqlang
A) B) C) D)