9-sinf Matematika olimpiada №4 Oktabr 18, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №4 ga 2 fikr bildirilgan 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. Hovuzga uchta quvur o‘tkazilgan. Birinchisi hovuzni 12 soatda, ikkinchisi 8 soatda to‘ldiradi. Uchinchisi hovuzni 1 sutkada bo‘shatadi. Agar uchala quvur birgalikda ochib qo‘yilsa, bo‘sh hovuzning yarmi qancha vaqt(soat)da to‘ladi? A) 1,5 B) 3 C) 2,5 D) 2 2 / 30 2. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 1 C) 4 D) 3 3 / 30 3. Agar ning qiymatini toping. A) -3 B) -1 C) 3 D) 2 4 / 30 4. [200;1000] kesmada 2,3,5,7 ga bo`lganda qoldiq 1 ga teng bo‘ladigan natural sonlar nechta? A) 4 ta B) 5ta C) 3ta D) 2ta 5 / 30 5. 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) 5 B) 6 C) 3 D) 4 6 / 30 6. Soddalashtiring A) 5 B) 9 C) 6 D) 0 7 / 30 7. Soddalashtiring: A) D B) B C) A D) C 8 / 30 8. 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 9 / 30 9. 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) 5 B) 9 C) 2 D) 6 10 / 30 10. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/3 ; 1,2) B) (1/6 ; 1,5) C) (0; 2,5) D) (1/6 ; 1,1) 11 / 30 11. Tenglamani yeching: A) Ø B) 0 C) 10/11 D) 29/220 12 / 30 12. 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) 10 C) 7 D) 9 13 / 30 13. Soat strelkasi 5 soat vaqt o‘tgandan keyin qanday burchakka buriladi? A) 100° B) 150° C) 120° D) 160° 14 / 30 14. Agar a + b − 2c = 0 bo’lsa, ni hisoblang. A) 1 B) 0 C) 2 D) 3 15 / 30 15. Chizmada ∠AOD = 120∘, ∠BOD = 3∠AOB ?a ∠AOC = 2∠COD bo‘lsa, ∠BOC burchak nimaga teng? A) 30° B) 45° C) 50° D) 60° 16 / 30 16. Uchlari A(2; −3), B(6; 0), C(6; 2) va D(2; 2) nuqtalarda bo‘lgan ABCD to‘rtburchak yuzini toping. A) 16 B) 12 C) 14 D) 18 17 / 30 17. x0 haqiqiy son x³ +1 = (x² − x −1)² − 4 tenglama ildizi bo‘lsa, (x0 − 1)² ni toping. A) 3 B) 5 C) 7 D) 2 18 / 30 18. Ikkinchi raqami uchinchi raqamidan 1 ta kam bo‘lgan uch xonali sonlar sonini toping. A) 55 B) 95 C) 63 D) 81 19 / 30 19. Ikki son o’rtasidagi ∆ operatsiyasiga ko‘ra quyidagi natijalar olindi: 12 ∆ 1 operatsiya natijasini toping. A) 132 B) 121 C) 136 D) 125 20 / 30 20. Hisoblang: A) 0 B) 8 C) 5 D) -6 21 / 30 21. −16 ≤ 2(y − 7) ≤ 0 va −7 ≤ x ≤ 8 bo‘lsa, x² − y² ifodaning eng kichik qiymatini toping. A) 1 B) 0 C) 2 D) 3 22 / 30 22. 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) 2200 B) 2199 C) 2197 D) 2198 23 / 30 23. Agar 3x − y = 7 va 5x + 4y = 21 bo‘lsa, 24x + 9y ni hisoblang. A) 69 B) 90 C) 78 D) 84 24 / 30 24. Agar bo'lsa, ning qiymatini toping. A) -4 B) 0 C) 5 D) 6 25 / 30 25. Raqamlari yig‘indisi 2 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 10 B) 9 C) 15 D) 25 26 / 30 26. Agar ac < 0 bo‘lsa, y=ax-bx²-c funksiya grafigi koordinatalar tekisligining qaysi choraklaridan o‘tadi? A) I,II,III B) Barcha chorakdan o'tadi? C) I, III, IV D) II, III, IV 27 / 30 27. Agar AB =12, BC =14, CD = 2 bo’lsa, aylana radiusini aniqlang. A) 9 B) 11 C) 10 D) 8 28 / 30 28. 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) 28 B) 25 C) 27 D) 26 29 / 30 29. 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) 148° C) 144° D) 124° 30 / 30 30. Soddalashtiring: A) C B) A C) D D) B 0% tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2022-2023 o'quv yili
