I. Burchaklar

V. Ko`pburchaklar

1. Qavariq beshburchakning ichki burchaklari yig`indisi necha gradus ? (96–9–27).
A) 900 B) 720 C) 540 D) 600 E) 500
2. Muntazam beshburchakning ichki burchaklari necha gradus? (96–13–33).
A) 135 B) 105 C) 102 D) 108 E) 120
3. Muntazam sakkizburchakning ichki burchaklari nimaga teng ? (98–6–40).
A) B) 120⁰ C) 130⁰ D) 150⁰ E) 135⁰
4. Har bir ichki burchagi 150⁰ bo`lgan qavariq ko`pburchakning nechta tomoni bor? (96–3–45).
A) 5 B) 7 C) 10 D) 12 E) 15
5. Har bir ichki burchagi 135⁰ bo`lgan qavariq ko`pburchakning nechta tomoni bor? (96–11–46).
A) 5 B) 6 C) 8 D) 10 E) 12
6. Har bir ichki burchagi 120⁰ bo`lgan qavariq ko`pburchakning nechta tomoni bor? (96–12–48).
A) 6 B) 8 C) 10 D) 12 E) 15
7. Qavariq beshburchak burchaklaridan ikkitasi to`g`ri, qolganlari o`zaro 2:3:4 nisbatda. Beshburchakning katta burchagini toping.
(96–9–93).
A) 90⁰ B) 120⁰ C) 150⁰ D) 110⁰ E) 160⁰
8. α₃, α₄ va α₅ mosravishda uchburchak, qavariq to`rtburchak va beshburchak tashqi burchaklarining yig`indilari. Quyidagi munosabatlardan qaysi biri o`rinli ? (96–3–92).
A) α₃<α₄<α₅ B) α₃=α₄<α₅ C) α₃<α₄=α₅
D) α₃<α₅<α₄ E) α₃=α₄=α₅ .
9. Ichki burchaklarining yig`indisi uning har bir uchidan bittadan olingan tashqi burchaklari yig`indisidan 6 marta katta bo`lgan ko`pburchakning tomonini toping. (00–6–38).
A) 16 B) 10 C) 15 D) 12 E) 14
10. Agar qavariq ko`pburchak ichki burchaklarining yig`indisi tashqi burchakali yig`indisidan 4 marta katta bo`lsa, uning tomonlari nechta? (00–3–81).
A) 5 B) 6 C) 10 D) 8 E) 12
11. Agar qavariq ko`pburchak ichki burchaklarining va bitta tashqi burchagining yig`indisi ga teng. Ko`pburchakning nechta tomoni bor? (99–4–39).
A) 10 B) 11 C) 13 D) 15 E) 16
12. Muntazam sakkizburchakning tashqi burchagi necha gradus? (96–12–93).
A) 40 B) 60 C) 72 D) 45 E) 35
13. Tashqi burchagi 36⁰ ga teng bo`lgan muntazam ko`pburchakning nechta tomoni bor? (98–1–48).
A) 8 B) 10 C) 12 D) 15 E) 18
14. Har bir tashqi burchagi 24⁰ ga teng bo`lgan muntazam ko`pburchakning nechta tomoni bor?
(98–8–48).
A) 24 B) 18 C) 15 D) 12 E) 10
15. Muntazam ko`pburchakning tashqi burchagi 36⁰ ga teng. Uning nechta tomoni bor? (99–1–37).
A) 10 B) 6 C) 8 D) 12 E) 9
16. Muntazam sakkizburchakning nechta diagonali bor? (98–11–89).
A) 8 B) 10 C) 24 D) 16 E) 20
17. qavariq 12 burchakli ko`pburchakning nechta diagonali bor? (00–5–62).
A) 42 B) 36 C) 54 D) 52 E) 62
18. Qavariq 20 burchakning diagonallari nechta ?
(98–4–10).
A) 170 B) 40 C) 200 D) 160 E) 120
19. Agar qavariq ko`pburchakning diagonallari 90 ta bo`lsa, uning tomonlari nechta? (98–12–69).
A) 15 B) 20 C) 30 D) 45 E) 12
20. Har qanday uchtasi bir to`g`ri chiziqda yotmaydigan 6 ta nuqta berilgan. Shu nuqtalar orqali nechta turlicha to`g`ri chiziqlar o`tkazish mumkin? (96–10–38).
A) 6 B) 12 C) 10 D) 36 E) 15
21. Har qanday uchtasi bir to`g`ri chiziqda yotmaydigan 9 ta nuqta berilgan. Shu nuqtalar orqali nechta turlicha to`g`ri chiziqlar o`tkazish mumkin? (96–9–87).
A) 9 B) 18 C) 72 D) 36 E) 24
22. Hech qaysisi uchtasi bir to`g`ri chiziqda yotmaydigan 7 ta nuqta berilgan. Shu 7 ta nuqta orqali nechta turlicha to`g`ri chiziqlar o`tkazish mumkin? (96–1–36).
A) 28 B) 21 C) 42 D) 35 E) 14
23. β – muntazam oltiburchakning ichki burchagi. tgβ ning qiymatini toping. (97–7–42).

24. Muntazam sakkizburchak ichki burchagining sinusini toping. (97–4–52).

25. β – muntazam sakkizburchakning ichki burchagi. ctgβ ning qiymatini toping. (96–7–42).

26. α – muntazam sakkizburchakning ichki burchagi. cosα ning qiymatini toping. (97–10–42).

27. α – muntazam o`n ikki burchakning ichki burchagi. sinα ning qiymatini toping. (97–3–42).

28. Muntazam sakkizburchakning ichki burchagi uchlanganligining kosinusini toping? (97–9–112).

29. Muntazam ko`pburchakning tashqi burchagi 60⁰ ga, perimetri 54 ga teng. Uning katta diagonalini toping.
(99–10–49).
A) 12 B) 16 C) 18 D) 20 E) 10
30. Muntazam ABCDEF oltiburchakning tomoni 6 ga, teng. C uchidan AE diagonalgacha bo`lgan masofani toping. (99–2–48).
A) 8 B) 9 C) 10 D) 7 E) 12
31. Ikkita o`xshash ko`pburchak yuzalarining nisbati 9:4 ga teng. Kichik ko`pburchakning perimetri 4. Katta ko`pburchakning perimetrini toping.
(97–8–38).
A) 9 B) 8 C) 6 D) 4 E) 10
32. Ikkita o`xshash ko`pburchak perimetrlarining nisbati 2:3 ga teng. Katta ko`pburchakning yuzi 27 bo`lsa, kichik ko`pburchakning yuzini toping.
(96–6–39).
A) 12 B) 18 C) 16 D) 14 E) 10
33. Ko`pburchakning tomoni 5 ga teng. Yuzasi berilgan ko`pburchak yuzasidan 4 marta katta hamda unga o`xshash bo`lgan ko`pburchak tomonini toping.
(99–8–52).
A) 20 B) 10 C) 12 D) 16 E) 14
34. Tomoni 1 ga teng bo`lgan ikkita kvadrat ustma-ust qo`yildi. Shundan so`ng kvadratlardan biri ularning umumiy simmetriya markaziga nisbatan 45<sup>0</sup> ga burildi. Hosil bo`lgan figuraning yuzini hisoblang. (99–5–49).

35. Tomoni 1 ga teng bo`lgan ikkita kvadrat ustma-ust qo`yilganidan keyin, ulardan biri kvadratlarning umumiy simmetriya markaziga nisbatan 45⁰ ga burildi. Hosil bo`lgan figuraning perimetrini toping. (00–9–53).
A) 8+ B)12 –2 C) 18–8
D) 4+ E) 16–8