Uy » Online olimpiada » Matematika olimpiada » 10-sinf Matematika olimpiada №4 Matematika olimpiadaTuman 2022-2023 o'quv yili 10-sinf Matematika olimpiada №4 InfoMaster Avgust 19, 2024 255 Ko'rishlar 200 izohlar SaqlashSaqlanganOlib tashlandi 0 0 Savollar 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 10-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. ko‘phadning bir ko‘paytuvchisi x+1 bo‘lsa, m ni toping. A) 1 B) 3 C) 2 D) 4 2 / 30 2. Hisoblang: A) -1/4 B) -1/8 C) 1/8 D) 1/4 3 / 30 3. Ko`paytmani hisoblang. cos12°cos24°cos36°cos48°cos60°cos72°cos84° A) 1/16 B) 1/128 C) 1/64 D) 1/32 4 / 30 4. x, y sonlari (x² + 1)(y² + 1) + 2(x − y)(1 − xy) = 4(1 + xy) tenglikni qanoatlantiradi |1 + x| ∙ |1 − y| ni toping. A) 1 B) 2 C) 9 D) 3 5 / 30 5. ?² + |? − 3| ≤ |?2 + ?| − 3 tengsizlikni yeching. A) x>3 B) 3 ≤ x C) x<0 D) x ≤ 3 6 / 30 6. 4 ga karrali va o‘nli yozuvida 4, 5, 6, 8 raqamlari bo‘lmagan to‘rt xonali sonlar nechta? A) 210 B) 150 C) 120 D) 180 7 / 30 7. Agar bo'lsa, ni toping. A) 5 B) 4 C) 4.5 D) 3.5 8 / 30 8. Uchinchi raqami to‘rtinchi raqamidan 1 ga kichik bo‘lgan to‘rt xonali sonlar sonini toping A) 990 B) 720 C) 900 D) 810 9 / 30 9. ABCD qavariq to‘rtburchakda ∠BAD= ∠CDA= 60∘, ∠BDA= ∠CAB, AB= 2 va CD= 9 bo‘lsa, AD ni toping. A) 6 B) 11 C) 12 D) 9 10 / 30 10. Qavariq o‘n ikki burchakning diagonallar sonini toping. A) 54 B) 48 C) 40 D) 36 11 / 30 11. Soddalashtiring: A) 2a B) 2b C) a+b D) a-b 12 / 30 12. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 16 B) 10 C) 15 D) 3 13 / 30 13. Chizmada AE = 2, BE= 6, DE= 3. Aylana diametrini toping. A) 2√45 B) 36 C) √25 D) √65 14 / 30 14. Tenglamani yeching: A) 8/17 B) 15/17 C) -1 D) 0 15 / 30 15. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 49 B) 53 C) 51 D) 4 16 / 30 16. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 3 B) 3 va 10 C) 3 va 15 D) 2 va 3 17 / 30 17. Raqamlari yig‘indisi 3 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 56 B) 55 C) 54 D) 53 18 / 30 18. Supermarketda reklama aksiyasi o‘tkazilmoqda: 3 ta shokolad sotib olgan xaridorga 4-shokolad sovg‘a tariqasida qo‘shib beriladi. Bitta shokolad narxi 28000 so‘m. Xaridor 300 000 so‘m evaziga eng ko‘pi bilan nechta shokolad xarid qila oladi? A) 14 B) 11 C) 12 D) 13 19 / 30 19. y = x²− 2 parabolaga y = 2 to‘g‘ri chiziqqa nisbatan simmetrik bo‘lgan parabola tenglamasini tuzing. A) y = x² − 8x + 14 B) y = x² + 8x + 2 C) y = x² + 8x − 14 D) y = x² − 8x − 2 20 / 30 20. tenglama nechta haqiqiy yechimga ega? A) 4 B) 1 C) 3 D) 2 21 / 30 21. Tenglamani yeching: A) 4 B) 5 C) 2 D) 3 22 / 30 22. 1,2,3,4…..,2021,2022 sonlar orasidan nechtasi 3 ga ham, 7 ga ham bo‘linmaydi? A) 1084 B) 1098 C) 1128 D) 1156 23 / 30 23. Agar ni toping. A) 0.8 B) 4 C) 0.16 D) 8 24 / 30 24. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 53 B) 4 C) 51 D) 49 25 / 30 25. Soddalashtiring: bunda, |?| < 3 A) 2? − 9 B) 1-2? C) 9-2? D) 9 26 / 30 26. bo‘lsa, f (5 − f (1− f (1− f (0)))) ni toping. A) 20 B) 19 C) 21 D) 18 27 / 30 27. Chizmada ABCD −parallelolgramm. DE ni ntoping. A) 9 B) 6 C) 5 D) 4 28 / 30 28. tenglama bilan berilgan aylananing markazi koordinata tekisligining qaysi choragida yotadi? A) IV B) I C) II D) III 29 / 30 29. ?³?³ = 1024 tenglikni qanoatlantiruvchi nechta (?; b) butun sonlar juftligi mavjud? A) 5 B) 2 C) 4 D) 3 30 / 30 30. ABCD qavariq to‘rtburchakka aylana ichki chizilgan. Agar АВ = 7, BC= 11 bo‘lsa, CD − AD ni toping. A) 4 B) 5 C) 3 D) 2 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz