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. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 44 B) 50 C) 48 D) 34 2 / 30 2. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 1 C) 3 D) 4 3 / 30 3. ? = −3? − 10 va ? = 0,5? −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 28/3 B) 9,6 C) 18,6 D) 56/3 4 / 30 4. tenglamaning ildizlari yig‘indisini toping. A) 0 B) 2 C) 5 D) 1 5 / 30 5. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 159 B) 151 C) 169 D) 161 6 / 30 6. Raqamlari yig‘indisi 2 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 10 B) 15 C) 25 D) 9 7 / 30 7. Soddalashtiring: A) B B) D C) C D) A 8 / 30 8. Hisoblang: A) -6 B) 8 C) 0 D) 5 9 / 30 9. 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 10 / 30 10. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (0; 2,5) B) (1/6 ; 1,5) C) (1/6 ; 1,1) D) (1/3 ; 1,2) 11 / 30 11. −16 ≤ 2(? − 7) ≤ 0 va −7 ≤ x ≤ 8 bo‘lsa, ?² − ?² ifodaning eng kichik qiymatini toping. A) 2 B) 0 C) 3 D) 1 12 / 30 12. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/6 ; 1,1) B) (0; 2,5) C) (1/3 ; 1,2) D) (1/6 ; 1,5) 13 / 30 13. 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) 25 B) 28 C) 26 D) 27 14 / 30 14. 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) 9 D) 10 15 / 30 15. Ikkinchi raqami uchinchi raqamidan 1 ta kam bo‘lgan uch xonali sonlar sonini toping. A) 55 B) 63 C) 81 D) 95 16 / 30 16. Soddalashtiring: A) C B) D C) B D) A 17 / 30 17. Chizmada ∠AOD = 120∘, ∠BOD = 3∠AOB ?a ∠AOC = 2∠COD bo‘lsa, ∠BOC burchak nimaga teng? A) 60° B) 50° C) 30° D) 45° 18 / 30 18. Agar a + b − 2c = 0 bo’lsa, ni hisoblang. A) 0 B) 1 C) 2 D) 3 19 / 30 19. Soddalashtiring: A) D B) C C) A D) B 20 / 30 20. Agar ac < 0 bo‘lsa, y=ax-bx²-c funksiya grafigi koordinatalar tekisligining qaysi choraklaridan o‘tadi? A) Barcha chorakdan o'tadi? B) I,II,III C) II, III, IV D) I, III, IV 21 / 30 21. x0 haqiqiy son x³ +1 = (x² − x −1)² − 4 tenglama ildizi bo‘lsa, (x0 − 1)² ni toping. A) 7 B) 3 C) 2 D) 5 22 / 30 22. Tenglamani yeching: A) 29/220 B) 0 C) 10/11 D) Ø 23 / 30 23. Chizmadagi uchburchaklar sonini toping. A) 30 B) 26 C) 24 D) 28 24 / 30 24. Agar 3x − y = 7 va 5x + 4y = 21 bo‘lsa, 24x + 9y ni hisoblang. A) 84 B) 69 C) 78 D) 90 25 / 30 25. Hisoblang: A) -11/6 B) -5/4 C) -4/3 D) -22/12 26 / 30 26. ABC uchburchakning AE va BF medianalari P nuqtada kesishadi. Agar ABC uchburchak yuzi 36 bo‘lsa, PEСF to‘rtburchak yuzini toping. A) 6 B) 9 C) 12 D) 18 27 / 30 27. Soat strelkasi 5 soat vaqt o‘tgandan keyin qanday burchakka buriladi? A) 120° B) 100° C) 160° D) 150° 28 / 30 28. ABCD to‘rtburchakda: AB=CD, BC= AD. Agar A burchak B burchakdan 4 marta katta bo‘lsa, to‘rtburchakning A burchagini toping. A) 144° B) 148° C) 132° D) 124° 29 / 30 29. tengsizlikning (−5; 5) oraliqda nechta butun yechimi mavjud? A) 8 B) 7 C) 10 D) 9 30 / 30 30. 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) 18 D) 14 0% Author: InfoMaster Matematika olimpiada