Uy » Online olimpiada » Matematika olimpiada » 9-sinf Matematika olimpiada №3.1 Matematika olimpiadaViloyat 2021-2022 o'quv yili 9-sinf Matematika olimpiada №3.1 InfoMaster Avgust 19, 2024 0 Ko'rishlar 2 izohlar SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 48 B) 35 C) 60 D) 65 2 / 25 2. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 48 C) 39 D) 30 3 / 25 3. А punktdan В punktga qarab yuk poyezdi yo‘lga chiqdi. Oradan 3 soat o‘tgandan keyin, uning ortidan tezligi yuk poyezdi tezligidan 40 km/soat ortiq bo‘lgan yo‘lovchi poyezdi yo‘lga chiqdi. Yuk poyezdi yo‘lga chiqqanidan 15 soat o‘tib yo‘lovchi poyezdi yuk poyezdidan 300 km oldinda ekani ma’lum bo‘ldi. Yuk poyezdining tezligini toping. A) 50 km/soat B) 100 km/soat C) 80 km/soat D) 60 km/soat 4 / 25 4. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping. A) 18 B) 22 C) 16 D) 13 5 / 25 5. bo‘lsa, ? + ? ni toping. A) 11 B) 13 C) 16 D) 12 6 / 25 6. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4.8 B) 3.5 C) 4 D) 4.5 7 / 25 7. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 40 B) 55 C) 50 D) 45 8 / 25 8. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 56 B) 64 C) 36 D) 48 9 / 25 9. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi? A) 950 B) 850 C) 800 D) 900 10 / 25 10. 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) 12 B) 10 C) 18 D) 16 11 / 25 11. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 115 B) 125 C) 130 D) 120 12 / 25 12. Hisoblang: bunda, A) -49 B) -64 C) -144 D) -100 13 / 25 13. 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 14 / 25 14. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 6 C) 12 D) 10 15 / 25 15. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 9.8 B) 11.4 C) 18.2 D) 12.6 16 / 25 16. Aylanaga tashqi chizilgan ABCD teng yonli trapetsiyaning yuzi √3 ga teng. Agar ВС : AD = 1 : 3 bo‘lsa, trapetsiyaning АВ yon tomonini toping. A) √3 B) 2 C) √6 D) √2 17 / 25 17. f(x) kvadrat funksiyaga nisbatan ma’lumki, f(0) + f(1) = 0, f(2) + f(3) = 0. f(x) = 2022 tenglamaning ildizlari yig‘indisi nimaga teng? (bunda, f(x) = 2022 tenglama 2 ta turli yechimga ega). A) 6 B) 3 C) 5 D) 4 18 / 25 18. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 45° B) 5° C) 30° D) 15° 19 / 25 19. 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) 36 B) 30 C) 55 D) 28 20 / 25 20. tengsizlikning butun yechimlari yig‘indisini toping. A) 18 B) 21 C) 12 D) 20 21 / 25 21. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping. A) 294 B) 264 C) 288 D) 268 22 / 25 22. 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) 424 C) 420 D) 384 23 / 25 23. Yig‘indini toping: A) 2021 B) 2022 C) 2023 D) 2020 24 / 25 24. A) -1 B) -36 C) -6 D) -216 25 / 25 25. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 3 B) 4 C) 6 D) 5 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz