9-sinf Matematika olimpiada №3.1 Oktabr 2, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №3.1 ga 2 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 22 B) 15 C) 16 D) 14 2 / 25 2. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) sin40° D) cos40° 3 / 25 3. Tenglamaning ildizlari yig’indisini toping A) -1 B) 1 C) -2 D) 2 4 / 25 4. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 0 B) 1 C) 1.2 D) 1.8 5 / 25 5. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 64 B) 48 C) 56 D) 36 6 / 25 6. tengsizlikning butun yechimlari yig‘indisini toping. A) 18 B) 20 C) 12 D) 21 7 / 25 7. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 130 B) 115 C) 120 D) 125 8 / 25 8. Aylanaga tashqi chizilgan ABCD teng yonli trapetsiyaning yuzi √3 ga teng. Agar ВС : AD = 1 : 3 bo‘lsa, trapetsiyaning АВ yon tomonini toping. A) √6 B) √3 C) 2 D) √2 9 / 25 9. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 10 C) 12 D) 6 10 / 25 10. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 2.5 B) 3 C) 3.5 D) 2 11 / 25 11. Kenguru oldinga 1 metrga yoki 3 metrga sakraydi. U 10 metr masofani bosib o‘tishni xohlaydi. U bu ishni necha usulda amalga oshira oladi? A) 30 B) 36 C) 55 D) 28 12 / 25 12. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 6 B) 3 C) 5 D) 9 13 / 25 13. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 55 B) 45 C) 50 D) 40 14 / 25 14. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 151 B) 169 C) 159 D) 161 15 / 25 15. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 30° B) 45° C) 15° D) 5° 16 / 25 16. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 18.2 B) 12.6 C) 11.4 D) 9.8 17 / 25 17. bo‘lsa, ? + ? ni toping. A) 11 B) 16 C) 13 D) 12 18 / 25 18. Soddalashtiring: A) IV B) II C) I D) III 19 / 25 19. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar yig‘indisini toping. A) 376 B) 420 C) 424 D) 384 20 / 25 20. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi? A) 900 B) 800 C) 950 D) 850 21 / 25 21. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 6 B) 5 C) 4 D) 3 22 / 25 22. ABC uchburchak berilgan ∠B = 90°. AC va BC tomonlarida mos ravishda E va D nuqtalar shunday olinganki, bunda AE = EC, ∠ADB = ∠EDC. U holda CD: BD ni toping. A) 5 B) 2 C) 3 D) 4 23 / 25 23. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4 B) 4.5 C) 4.8 D) 3.5 24 / 25 24. 1 dan 100 gacha bo‘lgan natural sonlar orasidagi ? sonlar shundayki, ? ning natural bo‘luvchilari ko‘paytmasi(1 va ? ham inobatga olinganda) ?³ ga teng. Shunday ? natural sonlar nechta? A) 16 B) 12 C) 10 D) 18 25 / 25 25. A) -6 B) -36 C) -216 D) -1 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Viloyat 2021-2022 o'quv yili
