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. Tenglamani yeching: |x+6|=|x+10| A) 6 B) 4 C) -6 D) -8 2 / 25 2. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) sin40° C) –sin40° D) cos40° 3 / 25 3. Teng yonli ABC (AC=BC) uchburchakning AC tomonida D nuqta olingan. K - BD kesma va AH balandlik kesishgan nuqta. Agar AD=AK bo‘lsa, u holda DBA burchakni toping. A) 75° B) 30° C) 45° D) 60° 4 / 25 4. Hisoblang: bunda, A) -144 B) -49 C) -100 D) -64 5 / 25 5. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar yig‘indisini toping. A) 424 B) 376 C) 420 D) 384 6 / 25 6. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi? A) 850 B) 800 C) 950 D) 900 7 / 25 7. Soddalashtiring: A) II B) I C) III D) IV 8 / 25 8. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping. A) 294 B) 288 C) 268 D) 264 9 / 25 9. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 50 B) 40 C) 55 D) 45 10 / 25 10. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping. A) 111 B) 109 C) 108 D) 150 11 / 25 11. 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) 12 C) 20 D) 15 12 / 25 12. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 120 B) 130 C) 115 D) 125 13 / 25 13. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 3 B) 6 C) 9 D) 5 14 / 25 14. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 48 B) 36 C) 56 D) 64 15 / 25 15. bo‘lsa, ? + ? ni toping. A) 12 B) 16 C) 11 D) 13 16 / 25 16. 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) 5 C) 3 D) 4 17 / 25 17. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4 B) 3.5 C) 4.5 D) 4.8 18 / 25 18. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 1.5 B) 4 C) 2.5 D) 2 19 / 25 19. tengsizlikning butun yechimlari yig‘indisini toping. A) 21 B) 12 C) 18 D) 20 20 / 25 20. A) -6 B) -1 C) -216 D) -36 21 / 25 21. 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) 10 B) 16 C) 12 D) 18 22 / 25 22. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 169 B) 159 C) 151 D) 161 23 / 25 23. 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) 3 B) 6 C) 5 D) 4 24 / 25 24. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 0 B) 1.8 C) 1.2 D) 1 25 / 25 25. 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) 55 B) 30 C) 28 D) 36 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada