Har tongni hayoting boshlanishi, tunni esa yakuni deb bil !!!

Matematikadan test
Har tongni hayoting boshlanishi,

tunni esa yakuni deb bil !!!

1. Hisoblang.

A) B) 2 C) 1 D) 0

2. Soddalashtiring

A) –1 B) C) D)

3. Hisoblang: (1+2+2²)(1+2³+2⁶)(1+2⁹+2¹⁸)

A) 2²⁷+1 B)2²⁷–1 C)2⁵⁴+3 D)2²⁶+2¹³+1

4. m ning qanday qiymatlarida tenglama ildizlaridan biri nolga teng bo`ladi? x²+(m+8)x+ –8=0

A) m=8 B) m= C) D) m= –8

5. bo`lsa, a=?

A) e-1 B) C) 2 D) e

6. Quyidagi mulohazalardan qaysi biri doimo o`rinli?

A) a sonning 2 marta kattasi 2a ga teng;

B) Sonning butun qismi uning o`zidan kichik bo`ladi;

C) Natural a son uchun ning butun qismi ga teng bo`lmasa, a toq son;

D) O`nli kasrning kasr qismi uning verguldan chap qismidagi sonini nol bilan almashtilganiga teng.
7. y=ax²+b parabola y=x² parabolani parallel ko`chirishdan hosil bo`lgan bo`lsa, a=?, b=?

A) a B) a=1;

C) a,b D) a=1; b
8. tengsizlikni yeching.

A) B) (2; 3)

C) D)

9. 2m+n=12 bo`lsa, mn ning eng kichik qiymatini toping.

A) 36 B) 0 C) Aniqlab bo`lmaydi D) 32

10. 17, 21, 25, … va 16, 21, 26, … progressiyalar uchun umumiy bo`lgan dastlabki 100 ta son yig`indisini toping.

A) 101100 B) 101000 C)50550 D) 25275

11. x+y+z=xyz tenglamaning natural yechimlaridan iborat barcha x, y va z uchliklar yig`indisini toping.

A) 36 B) 18 C) Tenglama cheksiz ko`p natural yechimga ega D) 6
12. Zahiriddin Muhammad Boburning tug`ilgan kuni , oyi, yilidagi barcha raqamlar yig`indisini toping va shu sonning shuncha foiz ortig`ini aniqlang.

A) 21,24 B) 42,24 C) 45,56D) 28,29

13. Avtomobil, 4 km shimol, 5 km sharq va yana 6 km shimol tomon harakatlanib, to`htadi. Uning boshlang`ich va oxirgi nuqtalari orasidagi masofani toping.

A)11 B) C) D) 15

14. Quyidagi funksiyalardan nechtasi juft?

1) ; 2) y=(x–4)²+8x

3) ; 4)

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

15. a ning qanday qiymatlarida

parabolaning uchi I chorakda bo`ladi?

A) B)

C) D)
16. Tenglamaning ildizlari ko`paytmasini toping.

A) 0 B) 5 C) –25 D) –5

17.cos48⁰=a bo`lsa, cos6⁰ quyidagilardan qaysi biriga teng?

A) B) C) D)

18. arctg(ctg11)=?

A) B)

C) D)
19. y=x^lnx funksiyaning x=e³ nuqtadagi hosilasini toping.

A) 6e⁶ B) 3e⁶ C) 3e⁹ D) 9

20. funksiyaning hosilasini toping.

A) B)

C) D)
21.Perimetri 14 sm ga teng bo`lgan uchburchakning ichidagi O nuqta barcha tomonlaridan 3 sm masofada joylashgan. Uchburchakning yuzini toping.

A) 56 B) 21 C) 28 D) 18,5

22.Muntazam uchburchakka aylana ichki chizilgan, unga esa muntazam oltiburchak ichki chizilgan. Uchburchak va oltiburchak yuzlarining nisbatini toping.

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

23.ABCD trapetsiyaning CD asosi 3 ga AB asosi 9 ga teng. Trapetsiyaning diagonallari P nuqtada kesishadi. Agar DPC uchburchakning yuzi 4 ga teng bo`lsa, trapetsiyaning yuzini toping.

A) 36B) 54C)108 D) 64

24. Markazi bir nuqtada bo`lgan aylanalardan kattasining 18 ga teng vatari kichik aylanaga urinadi. Bu aylanalar hosil qilgan halqaning yuzini toping.

A) B) C) D)

25. A(3; –4; 10) nuqtadan XOZ tekisligigacha bo`lgan masofani toping.

A) 4 B) C) 5 D) 13

26. Muntazam 18 burchakning tomoni 10 ga teng bo`lsa, eng kata diagonali quyidagilardan qaysi biriga teng?
A) B) C) D)
27. ;

A) B) C) D) 0

28. To`g`ri burchakli parallelopipedning uchta turli qirralar yig`indisi 10 ga, diagonali 8 ga teng. Shu

parallelopipedning to`la sirtini toping.

A) 36 B) 64 C) 100 D) 82
29. Oktaedrning qirrasi 12 ga teng bo`lsa, uning hajmini toping.

A) B) C) D) 576

30. Radiusi 15 sm bo`lgan shar shaklidagi akvariumning yarmi suv bilan to`ldirildi. Bu suv qirrasi 30 sm bo`lgan kub shaklidagi akvariumga solinsa, uning necha foizi to`ladi?

( )

A) 30 % B) 25 % C) 50 % D) 33,(3) %