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! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak? A) 32 B) 30 C) 38 D) 34 2 / 25 2. ABC uchburchakning AB tomonidan M va N nuqtalar shunday tanlab olinganki, BN=NM=MA. AC tomonidan K va L nuqtalar shunday tanlab olindiki AK=3KL=1,5LC bo'ldi. SMNLK: SMNLK=? A) 1 B) 3 C) 0,5 D) 2 3 / 25 3. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping. A) 2019 B) 2021 C) 2022 D) 2023 4 / 25 4. Hisoblang: bunda, A) -49 B) -100 C) -64 D) -144 5 / 25 5. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 1.5 B) 2.5 C) 2 D) 4 6 / 25 6. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 6 B) 5 C) 3 D) 4 7 / 25 7. 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) 900 C) 950 D) 850 8 / 25 8. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 36 B) 56 C) 48 D) 64 9 / 25 9. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar yig‘indisini toping. A) 420 B) 384 C) 376 D) 424 10 / 25 10. 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) 12 B) 22 C) 20 D) 15 11 / 25 11. Soddalashtiring: A) II B) I C) IV D) III 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) 4 B) 6 C) 5 D) 3 13 / 25 13. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 40 B) 55 C) 45 D) 50 14 / 25 14. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 18.2 B) 11.4 C) 9.8 D) 12.6 15 / 25 15. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping. A) 111 B) 150 C) 109 D) 108 16 / 25 16. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 2 B) 3.5 C) 2.5 D) 3 17 / 25 17. 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 18 / 25 18. tengsizlikning butun yechimlari yig‘indisini toping. A) 12 B) 20 C) 18 D) 21 19 / 25 19. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping. A) 22 B) 13 C) 16 D) 18 20 / 25 20. bo‘lsa, ? + ? ni toping. A) 16 B) 13 C) 11 D) 12 21 / 25 21. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 1.2 B) 0 C) 1 D) 1.8 22 / 25 22. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4 B) 4.8 C) 3.5 D) 4.5 23 / 25 23. 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) 28 D) 55 24 / 25 24. Tenglamalar sistemasi nechta yechimga ega? A) 10 B) 6 C) 8 D) 12 25 / 25 25. Yig‘indini toping: A) 2023 B) 2022 C) 2021 D) 2020 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada