9-sinf Matematika olimpiada №4 Oktabr 18, 2022Oktabr 18, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №4 ga fikr bildirilmagan. 2 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. bo‘lsa, ifodaning qiymatini toping A) 15/16 B) 2/3 C) 3/16 D) 13/16 2 / 30 2. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 3 C) 2 D) 4 3 / 30 3. 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 4 / 30 4. x²-6x+|x-4|+8 =0 tenglamning ildizlari yig’indisini toping. A) 8 B) 7 C) 4 D) -4 5 / 30 5. 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) 950 C) 850 D) 900 6 / 30 6. ABCD to‘rtburchakda: AB=CD, BC= AD. Agar A burchak B burchakdan 4 marta katta bo‘lsa, to‘rtburchakning A burchagini toping. A) 132° B) 124° C) 148° D) 144° 7 / 30 7. Agar AB =12, BC =14, CD = 2 bo’lsa, aylana radiusini aniqlang. A) 9 B) 10 C) 11 D) 8 8 / 30 8. Soddalashtiring: A) C B) B C) D D) A 9 / 30 9. tengsizlikning (−5; 5) oraliqda nechta butun yechimi mavjud? A) 8 B) 9 C) 7 D) 10 10 / 30 10. Soddalashtiring: A) B B) C C) D D) A 11 / 30 11. Hisoblang: A) 8 B) 5 C) -6 D) 0 12 / 30 12. Ikkinchi raqami uchinchi raqamidan 4 marta katta, birinchi raqami esa ikkinchi raqamidan 3 ta kam bo‘lgan uch xonali sonlar nechta? A) 1 B) 2 C) 4 D) 3 13 / 30 13. Ikkinchi raqami uchinchi raqamidan 1 ta kam bo‘lgan uch xonali sonlar sonini toping. A) 81 B) 55 C) 95 D) 63 14 / 30 14. Chizmadagi uchburchaklar sonini toping. A) 26 B) 24 C) 30 D) 28 15 / 30 15. Ikki son o’rtasidagi ∆ operatsiyasiga ko‘ra quyidagi natijalar olindi: 12 ∆ 1 operatsiya natijasini toping. A) 121 B) 136 C) 125 D) 132 16 / 30 16. Raqamlari yig‘indisi 2 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 25 B) 9 C) 10 D) 15 17 / 30 17. a = 0,12(12), ? = 0,1(21), c = 0,12(11). Agar a+ b+ c= 0, x1x2x3x4... x2021x2022x2023... bo‘lsa, x2022 ni toping (bunda, x1, x2... raqamlar). A) 2 B) 5 C) 9 D) 6 18 / 30 18. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/6 ; 1,5) B) (1/3 ; 1,2) C) (1/6 ; 1,1) D) (0; 2,5) 19 / 30 19. Soddalashtiring A) 5 B) 6 C) 9 D) 0 20 / 30 20. −16 ≤ 2(? − 7) ≤ 0 va −7 ≤ x ≤ 8 bo‘lsa, ?² − ?² ifodaning eng kichik qiymatini toping. A) 0 B) 1 C) 3 D) 2 21 / 30 21. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/3 ; 1,2) B) (1/6 ; 1,1) C) (1/6 ; 1,5) D) (0; 2,5) 22 / 30 22. Agar ac < 0 bo‘lsa, y=ax-bx²-c funksiya grafigi koordinatalar tekisligining qaysi choraklaridan o‘tadi? A) Barcha chorakdan o'tadi? B) I, III, IV C) II, III, IV D) I,II,III 23 / 30 23. f(x)=ax+b funksiya grafigi A(-1;3) va B(1;7) nuqtalar orqali o‘tadi. f(4- f( -1)) ni toping A) 12 B) 7 C) 10 D) 9 24 / 30 24. Oila erkak kishi, uning ayoli va talaba qizidan iborat. Agar erkak kishining maoshi 2 barobar oshsa, u holda oila daromadi 67%ga ortadi, agar talaba qizning stipendiyasi 3 barobar kamaysa, oila daromadi 4%ga qisqaradi. Ayolning maoshi oila daromadining necha foizni tashkil qiladi? A) 27 B) 26 C) 28 D) 25 25 / 30 25. ABC uchburchakning AE va BF medianalari P nuqtada kesishadi. Agar ABC uchburchak yuzi 36 bo‘lsa, PEСF to‘rtburchak yuzini toping. A) 12 B) 18 C) 9 D) 6 26 / 30 26. Uchlari A(2; −3), B(6; 0), C(6; 2) va D(2; 2) nuqtalarda bo‘lgan ABCD to‘rtburchak yuzini toping. A) 18 B) 14 C) 12 D) 16 27 / 30 27. Chizmada ∠AOD = 120∘, ∠BOD = 3∠AOB ?a ∠AOC = 2∠COD bo‘lsa, ∠BOC burchak nimaga teng? A) 50° B) 30° C) 45° D) 60° 28 / 30 28. Soddalashtiring: A) C B) A C) B D) D 29 / 30 29. Tenglamani yeching: A) 10/11 B) 29/220 C) 0 D) Ø 30 / 30 30. Anvar 2 dan boshlab barcha natural sonlarni doskaga yozdi. U yozayotganda to‘la kub bo‘lgan sonlarni qoldirib ketdi (8, 125 kabi). Doskaga 2186-o‘rinda yozilgan sonni toping. A) 2198 B) 2197 C) 2200 D) 2199 0% Author: InfoMaster Matematika olimpiada