9-sinf Matematika olimpiada №3 Sentabr 21, 2022Sentabr 21, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №3 ga fikr bildirilmagan. 3 1234567891011121314151617181920212223242526 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №3 2020-yil tuman bosqichida tushgan savollar 1 / 26 1. Tenglamani yeching: |x+6|=|x+10| A) 4 B) -6 C) -8 D) 6 2 / 26 2. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 3 B) 1 C) 4 D) 2 3 / 26 3. bo‘lsa, 4? + 3? + 2? yig‘indini toping. (Bunda, ?, ?, ?- raqamlar) A) 4 B) 16 C) 12 D) 8 4 / 26 4. ni hisoblang A) 9999999998888880000001 B) 9999999998000000001 C) 99999999980000000001 D) 9999999998000000001 5 / 26 5. Tenglamani yeching A) 3 B) 2 C) -3 D) -2 6 / 26 6. ABC uchburchakda AB=10, BC=3, AC=√89. B burchakning kosinusini toping. A) 1/5 B) 1/2 C) 1/3 D) 1/4 7 / 26 7. tenglamaning ildizlari yig‘indisini toping. A) 1 B) 2 C) 0 D) 5 8 / 26 8. ayirmani 24 ga bo‘lgandagi qoldiqni toping. A) 1 B) 3 C) 2 D) 0 9 / 26 9. bo’lsa, x/y qandаy oraliqqa tegishli bo’ladi? A) [-2;3,5] B) (-1;4] C) [1;8/3] D) [-1;8/3] 10 / 26 10. Radiusi 11 sm bo’lgan aylana markazidan 7 sm uzoqda P nuqta berilgan. Bu nuqta orqali uzunligi 18 sm bo’lgan vatar o’tkazilgan. Vatardan P nuqta orqali ajralgan kichik kesma uzunligi qanday? A) 4 B) 6 C) 8 D) 10 11 / 26 11. 1/13 ni o‘nli kasrga yoyilganda, verguldan keyingi 100 –o‘rinda turgan raqamini toping. A) 2 B) 3 C) 9 D) 0 12 / 26 12. Hovuzga 4 ta quvur o`tkazilgan ikkinchi, uchinchi va to`rtinchi quvurlar soatda, birinchi va ikkinchi quvurlar soatda, hamma quvurlar soatda to`ldirsa, ikkinchi quvur hovuzni qancha vaqtda to`ldiradi. 1. 2. 3. 4.bc-ab-ac A) 2 B) 1 C) 4 D) 3 13 / 26 13. yig`indini toping. A) 3 B) 2 C) 4 D) 1 14 / 26 14. B ni A orqali ifodalang. A) B=-1+A B) B=-1-A C) B=1-A D) B=1+A 15 / 26 15. Yo’lovchi tezligi 60km/soat poyezd ichida ketayotib, qarshi kelayotgan poyezd deraza yonidan 4 sekundda o’tganini aniqladi. Agar u poyezdning uzunligi 120 m bo’lsa, tezligini aniqlang. A) 45 B) 50 C) 55 D) 48 16 / 26 16. kasrni qisqartiring. A) 1 B) 2 C) 4 D) 3 17 / 26 17. 6 xonali son berilgan. Uning 1-raqami 1 ga teng. Shu sonning 1-raqamini uning oxiriga ko’chirsak, berilgan sondan 3 marta katta son hosil bo’lsa, shu sonni toping. A) 142785 B) 142857 C) 272875 D) 277954 18 / 26 18. Agar ifoda to‘la kvadrat bo‘lsa, m ning eng katta butun qiymatini toping. A) 1001 B) 100000 C) 1998 D) 10000 19 / 26 19. olti xonali son bo‘lsa quyidagini toping. A) 99 B) -99 C) -11 D) 9 20 / 26 20. a parametrining qanday qiymatlarida tenglama uchta ildizga ega bo‘ladi A) -6 B) 4 C) 0 D) 6 21 / 26 21. Uchburchakning asosi uzunligi 36 sm. Asosiga parallel to’g’ri chiziq uchburchak yuzini teng ikkiga bo’ladi. Shu to’g’ri chiziqning uchburchak tomonlari orasidagi kesmasi uzunligini toping. A) 17 B) 10 C) 18 D) 18 ildiz ostida 2 22 / 26 22. Natural sonlar qatori har biri natural sonning kubi bilan tugaydigan quyidagi qismlarga ajralgan: 1,(2,3,...,8),(9,10,...,27),(28,29,...,64),... 10-qismdagi sonlar yig`indisini toping? A) 243415 B) 234415 C) 204440 D) 204415 23 / 26 23. Agar juft funksiya bo’lsa, ning qiymatini toping. 1. 2.ab-2a+ba 3. 4.a-b+2a-3b A) 1 B) 2 C) 3 D) 4 24 / 26 24. m ning nechta natural qiymatida tengsizlik x ning istalgan qiymatida o’rinli bo’ladi? A) 0 B) 2 C) 3 D) 1 25 / 26 25. Uchburchakning tomonlari lardan iborat bo‘lgan uchburchak yuzini toping. A) 1 B) 4 C) 2 D) 3 26 / 26 26. [200;1000] kesmada 2,3,5,7 ga bo`lganda qoldiq 1 ga teng bo‘ladigan natural sonlar nechta? A) 4 ta B) 2ta C) 3ta D) 5ta 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada