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. 2 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. Ifodaning eng kichik qiymatini toping: A) -4 B) 12 C) -12 D) 4 2 / 25 2. f(x) funksiyani toping. A) 1/(1-x) B) (1-x)/(1+x) C) (1+x)/(1-x) D) 1/x 3 / 25 3. Hisoblang A) 11 B) 18 C) 16 D) 15 4 / 25 4. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 3 B) 4 C) 6 D) 5 5 / 25 5. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 9 B) 6 C) 5 D) 3 6 / 25 6. 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) 10 C) 18 D) 12 7 / 25 7. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 1.2 B) 1 C) 0 D) 1.8 8 / 25 8. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 130 B) 120 C) 115 D) 125 9 / 25 9. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 2 B) 1.5 C) 4 D) 2.5 10 / 25 10. A) -1 B) -216 C) -6 D) -36 11 / 25 11. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 3.5 B) 2.5 C) 3 D) 2 12 / 25 12. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 3.5 B) 4.8 C) 4 D) 4.5 13 / 25 13. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 169 B) 151 C) 159 D) 161 14 / 25 14. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 9.8 B) 11.4 C) 12.6 D) 18.2 15 / 25 15. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 30° B) 5° C) 15° D) 45° 16 / 25 16. Soddalashtiring: A) III B) II C) IV D) I 17 / 25 17. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 36 B) 48 C) 64 D) 56 18 / 25 18. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping. A) 108 B) 150 C) 109 D) 111 19 / 25 19. Yig‘indini toping: A) 2020 B) 2022 C) 2021 D) 2023 20 / 25 20. 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) 2 B) 3 C) 5 D) 4 21 / 25 21. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar yig‘indisini toping. A) 384 B) 424 C) 420 D) 376 22 / 25 22. 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) 900 D) 800 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) 13 B) 22 C) 18 D) 16 24 / 25 24. Beshta musbat son berilgan. Birinchi va beshinchi sonlar yig‘indisi 13 ga teng. Berilgan barcha sonlar yig‘indisidan ikkinchi son 3 marta, uchinchi son 4 marta, to‘rtinchi son esa 5 marta kichik. Berilgan sonlardan eng kattasini toping. A) 22 B) 20 C) 12 D) 15 25 / 25 25. bo‘lsa, ? + ? ni toping. A) 13 B) 12 C) 16 D) 11 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada