9-sinf Matematika olimpiada №3.1 Oktabr 2, 2022Oktabr 2, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №3.1 ga fikr bildirilmagan. 5 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4 B) 4.8 C) 4.5 D) 3.5 2 / 25 2. 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) 4 C) 2 D) 3 3 / 25 3. Soddalashtiring: A) I B) IV C) II D) III 4 / 25 4. bo‘lsa, ? + ? ni toping. A) 16 B) 12 C) 11 D) 13 5 / 25 5. 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) √2 C) √3 D) 2 6 / 25 6. Tenglamani yeching: |x+6|=|x+10| A) -6 B) 6 C) -8 D) 4 7 / 25 7. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 5 B) 3 C) 6 D) 4 8 / 25 8. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 3 B) 5 C) 9 D) 6 9 / 25 9. A) -6 B) -216 C) -36 D) -1 10 / 25 10. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 2 B) 2.5 C) 1.5 D) 4 11 / 25 11. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/x C) (1+x)/(1-x) D) 1/(1-x) 12 / 25 12. 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) 5 B) 4 C) 6 D) 3 13 / 25 13. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi? A) 800 B) 850 C) 950 D) 900 14 / 25 14. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 130 B) 125 C) 115 D) 120 15 / 25 15. 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) 55 C) 30 D) 28 16 / 25 16. Yig‘indini toping: A) 2022 B) 2020 C) 2023 D) 2021 17 / 25 17. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 3 B) 2 C) 2.5 D) 3.5 18 / 25 18. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 45° B) 30° C) 5° D) 15° 19 / 25 19. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 10 C) 6 D) 12 20 / 25 20. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 45 B) 50 C) 55 D) 40 21 / 25 21. Baliq og‘irliklari 14:12:11:8:15 kabi nisbatda bo‘lgan besh bo‘lakka bo‘lindi. Ikkinchi bo‘lakning og‘irligi 1,12 kg bo‘lsa, butun baliqning og‘irligini qancha? A) 6,72 kg B) 6,4 kg C) 5,6 kg D) 4,48 kg 22 / 25 22. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 1 B) 0 C) 1.8 D) 1.2 23 / 25 23. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping. A) 16 B) 22 C) 18 D) 13 24 / 25 24. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 36 B) 48 C) 56 D) 64 25 / 25 25. 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) 18 B) 16 C) 10 D) 12 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada
