9-sinf Matematika olimpiada №1 Oktabr 13, 2021Avgust 23, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №1 ga 1 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada № 1 11.10.2021 2021-2022 o'quv yilda tuman bosqichida tushgan savollar Ismi familiyangizni kriting! Iltimos ma'lumotlaringizni to'g'ri kritishga e'tibor bering! 1 / 25 1. ABC uchburchakda AL bissektrisa o’tkazildi. AB va BL kesmalarda E va D nuqtalar mos ravishda shunday olinganki, DL=LC, ED∥ AC. Agar AE=15, AC=12 ekani ma’lum bo’lsa, ED kesma uzunligini toping. A) 4 B) 2 C) 3 D) 5 2 / 25 2. Hisoblang A) 11 B) 16 C) 15 D) 18 3 / 25 3. olti xonali son 72 ga bo’linsa, ? + ? ni toping. A) 13 B) 15 C) 12 D) 10 4 / 25 4. Agar biror oyda 5 ta payshanba bo’lsa, shu oyda … bo’la olmaydi. A) 5 ta juma B) 5 ta seshanba C) 5 ta shanba D) 5 ta yakshanba 5 / 25 5. Beshta musbat a,b,c,d va e sonlari uchun ab=2, bc=3, cd=4, de=5 bo‘lsa, e/a ning qiymatini toping. A) 15/8 B) 12/5 C) 21/8 D) 6/5 6 / 25 6. Tenglamaning ildizlari yig’indisini toping A) 1 B) -2 C) -1 D) 2 7 / 25 7. Agar ning qiymatini toping. A) -3 B) 3 C) 2 D) -1 8 / 25 8. Massasi 228 g tuzli aralashma tarkibida 88,2% suv bor. Aralashma tarkibida 81% suv bo’lishi uchun qancha suvni bug’lantirish kerak? A) 84,6 B) 76,4 C) 72,4 D) 86,4 9 / 25 9. ?, ? natural sonlari uchun 3? + 2? soni 11 ga qoldiqsiz bo‘linadi. u holda quyidagi sonlardan qaysi biri 11 ga qoldiqsiz bo’linmasligi mumkin? A) 14? + 13b B) 47? + 34? C) 8(10? + 3?) D) 58? + 90? 10 / 25 10. To’rt xonali son “yoqimli” deyiladi, agar sonning o‘zi 25 ga bo‘linsa, uning raqamlari yig‘indisi 25 ga bo‘linsa va uning raqamlari ko‘paytmasi 25 ga bo‘linsa. Barcha “yoqimli” sonlarning yig‘indisini toping. A) 14450 B) 450 C) 13450 D) 14455 11 / 25 11. Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta? A) 57 B) 56 C) 55 D) 58 12 / 25 12. x, y, z tub sonlar uchun xyz = 5(x + y + z) bo’lsa, x² + y² + z² ni hisoblang. A) 78 B) 68 C) 55 D) 70 13 / 25 13. 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) 80 km/soat C) 60 km/soat D) 100 km/soat 14 / 25 14. ∠ABC = 90°, AD=2√6, CE=2√3, AG=GC, DF=FE bo‘lsa, FG ni toping. A) 3 B) 2 C) 4 D) 1 15 / 25 15. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2 A) 1 B) 1 000 000 C) 100 000 D) 1000 16 / 25 16. Ikkinchi raqami birinchi raqamidan katta bo‘lgan nechta ikki xonali natural son mavjud? A) 36 B) 45 C) 24 D) 50 17 / 25 17. ning qiymatini toping A) 5 B) 1 C) 7 D) 3 18 / 25 18. y = −3x − 10 va y = 0,5x −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 28/3 B) 18,6 C) 56/3 D) 9,6 19 / 25 19. 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) 60 km/soat B) 50 km/soat C) 80 km/soat D) 100 km/soat 20 / 25 20. 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) 45° B) 60° C) 30° D) 75° 21 / 25 21. bo‘lsa, 3? + ? ni toping. A) 2,5 B) 5 C) 10 D) 7,5 22 / 25 22. To’g’riburchakli uchburchakning o’tkir burchaklaridan chiquvchi medianalar √156 va √89 ga teng bo’lsa, uchburchak gipotenuzasini toping. A) 15 B) 14 C) 13 D) 12 23 / 25 23. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping. A) 2023 B) 2022 C) 2021 D) 2019 24 / 25 24. bo‘lsa, 4? + 3? + 2? yig‘indini toping. (Bunda, ?, ?, ?- raqamlar) A) 12 B) 16 C) 4 D) 8 25 / 25 25. tengsizlikning butun yechimlari yig’indisini toping. A) 15 B) 9 C) 7 D) 10 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2021-2022 o'quv yili
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