1. Kasrning maxrajini irratsionallikdan qutqaring hisoblang

MATEMATIKA
1. Kasrning maxrajini irratsionallikdan qutqaring.

2. hisoblang.


7. Teng yonli trapetsiyada yon tomon va katta asos b ga, kichik burchak esa α ga teng. Trapetsiyaning yuzini toping.
8. Asoslarining radiuslari 2 va 11 ga teng bo’lgan kesik konus va unga tengdosh silindrning balandliklari ham o’zaro teng bo’lsa, silindr asosining radiusini toping.
A) 8 B) 6 C) 7,5 D) 7
9. soddalashtiring.
A) 0 B) 1 C) cosα D) sinα
10. Ifodani soddalashtiring.

11. Quyidagi funksiyaga teskari funksiyani toping.

12. [log₂3]+[log₂4]+[log₂5]+…+[log₂16] ni hisoblang. [a] butun qismi.
A) 34 B) 37 C) 33 D) 38
13. P₁(x–1)=3x–4, P₂=(x+2)=4–5x hamda P₃(x)=6x–2 bo’lsa P₁(x)+P₂(x)+P₃(x–3) ni hisoblang.
A) –8x+33 B) 4x–7 C) –4x+7 D) –8x+7
14. Tengsizlikni yeching.
15. Tengsizlikni yeching.
A) [1; 2] B) [-2; 1] C) [2; ∞) D) [1; ∞)
16. Ifodani soddalashtiring.
A) sinα B) 1/2 C) 1 D) –1
17. ABC uchburchakda ∠ C=γ, ∠B=β, ∠A=α, α:β:γ=1:2:3, 3 2=BC bo’lsa, perimetrini toping.

18. ning qiymatini toping.

19. DABC piramida ABC asosining BE medianasi va DC qirrasining o’rtasi F orqali tekislik o’tkazilgan. Agar DABC piramidaning hajmi 40 sm³ ga teng bo’lsa, ADBFE shaklining hajmini toping.
A) 20 B) 10 C) 40 D) 30
20. Teng yonli o’tkir burchakli ABC(AB=BC) uchburchakning asosidagi burchagi α ga teng. BD balandlik AE balandlikni A uchidan boshlab hisoblanganda qanday nisbatda bo’ladi?
21. ni hisoblang.
A) ½ B) 2 C) 1 D) aniqlab bo’lmaydi
22. Hisoblang.
A) –25 B) –1 C) –2,5 D) 10
23. Shakldagi to’g’ri silindr asosining radiusi 10 sm, kichik tomoni 16 sm va uchlari pastki va ustki aylanada bo’lgan to’g’ri to’rtburchak bilan silindr asoslari orasidagi burchak 60⁰ bo’lsa, to’g’ri to’rtburchak yuzasi necha sm² ga teng?

A) 384 B) 252 C) 160 D) 72
24. funksiya grafigi tasvirlangan.
Quyidagilarining qaysi biri togri
A) bc>d B) a>c C) ab<0 D) abc>d
25. Bitta nuqtadan aylanaga ikkita urinma o’tkazilgan. Urinmaning uzunligi 12 sm, urinish nuqtalari orasidagi masofa 14,4 sm ga teng bo’lsa, aylananing radiusini toping.
A) 5 B) 8,5 C) 7 D) 9
26. Radiuslari R₁=6 sm, R₂=7 sm, R₃=8 sm bo’lgan aylanalar 2 ta o’zaro urinadi. Uchlari bu aylanalar markazlarida joylashgan uchburchakning yuzini toping.
A) 90 B) 78 C) 56 D) 84
27. Aylanaga tegishli bo’lmagan A nuqtadan unga urinma va kesuvchi o’tkazilgan. A nuqtadan urinish nuqtasigacha bo’lgan masofa 16 sm, kesuvchining aylana bila kesishish nuqtalaridan birigacha bo’lgan masofa 32 sm ga teng. Agar uning markazidan kesuvchigacha bo’lgan masofa 5 sm ga teng bo’lsa, aylananing radiusini toping.
A) 12 B) 13 C) 14 D) 10
28. Eritmada 60 g tuz bor. Unga 400 g toza suv qo’shilsa, tuzning konsenratsiyasi 1,5 marta kamaydi. Dastlabki eritma necha gramm bo’lgan.
A) 800 B) 840 C) 780 D) 900
29. ni hisoblang. Bu yerda [ ] sonning butun qismi.
A) 137 B) 117 C) 123 D) 144
30. Sonni standart shaklda yozing. 1495000000 km
A) 1495∙10⁷ B) 149,5∙10¹⁰ C) 14,95∙10⁹ D) 1,495∙10⁹

KALITLAR:

B B C A B C C D A D C B A D A B B A D A C C A B D D B A A D