9-sinf Matematika olimpiada №2 May 23, 2022Iyun 5, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga fikr bildirilmagan. 8 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) -1 B) 2 C) 1 D) 0 2 / 25 2. Tarkibida 85% suv bo‘lgan 0,5 t sellyuloza qorishmasida 75% suv bo‘lgan qorishma olish uchun necha kg suvni bug‘lantirish kerak? A) 300 B) 400 C) 100 D) 200 3 / 25 3. Agar bo‘lsa, ko‘paytmani hisoblang. A) 1/35 B) 31/35 C) -1 D) 1/33 4 / 25 4. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 18 C) 15 D) 29 5 / 25 5. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/x D) 1/(1-x) 6 / 25 6. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 2 C) 3 D) 1 7 / 25 7. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) I C) IV D) II 8 / 25 8. Bahodir o`zidagi 411 dona yong`oqni 4 ta bolaga bo`lib berdi. Agar Sanjar va O`ktamning olgan yong`oqlari soni 2 va 3 sonlariga to`g`ri proporsional ,O`ktam va Sohibning yong`oqlari 7 va 5 sonlariga teskari proporsional , Sanjar va G`anisherning yong`oqlari esa 9 va 4 sonlariga teskari proporsional ekanligi ma`lum bo`lsa, G`anisher nechta yong`oq olgan? A) 145 B) 126 C) 135 D) 180 9 / 25 9. ABCD parallelogramda AB=10, AD=16. BC tomonga AE va DF bissektrisalar o`tkazilganbo`lib, ular G nuqtada kesishadi. E va F nuqtalar BC tomonda bo`lsa, AGD va FGE uchgburchaklar yuzalari nisbatini toping. A) 16 B) 4 C) 64 D) 36 10 / 25 10. Birinchi quvurdan ikkinchi quvurga qaraganda ikki barobar ko’p suv oqadi.Ikkalasi birgalikda bo’sh hovuzni 12 soatda to’ldiradi.Birinchi quvur hovuzning uchdan bir qismini necha soatda to’ldiradi? A) 4 B) 6 C) 12 D) 9 11 / 25 11. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 8 C) -2 D) 6 12 / 25 12. ABC uchburchakda O nuqta AD medianava BE bissektrisalar kesishishnuqtasi. AOEva BOD uchburchaklar yuzlari mos ravishda 1 va 3 ga teng bo`lsa, EOC uchburchakning yuzini toping. A) 2 B) 4 C) 3 D) 5 13 / 25 13. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) xℇR D) (-∞;-1/2)∪(-1/2;∞) 14 / 25 14. Sonlarni o`sish tartibida yozing. A) b B) a C) c D) c 15 / 25 15. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 20 C) 24 D) 7 16 / 25 16. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 48 C) 33 D) 30 17 / 25 17. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a>b C) a ≤ b D) a=b+1 18 / 25 18. ABCD trapetsiyaning yuzi 36 gateng, asoslari DC=6, AB=2. BC tomonidan E nuqta olingan bo’lib, BE=2EC bo’lsa, ADE uchbutchakning yuzini toping. A) 14 B) 12 C) 16 D) 21 19 / 25 19. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 55 C) 99 D) 84 20 / 25 20. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) –cos40° C) –sin40° D) sin40° 21 / 25 21. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -40 B) -10 C) -20 D) -5 22 / 25 22. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 4 B) 1 C) 2 D) 3 23 / 25 23. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) 8 C) 20/69 D) -48 24 / 25 24. Massasi 228 g tuzli aralashma tarkibida 88,2% suv bor. Aralashma tarkibida 81% suv bo’lishi uchun qancha suvni bug’lantirish kerak? A) 84,6 B) 76,4 C) 72,4 D) 86,4 25 / 25 25. Teng yonli ABC (AC=BC) uchburchakning AC tomonida D nuqta olingan. K - BD kesma va AH balandlik kesishgan nuqta. Agar AD=AK bo‘lsa, u holda DBA burchakni toping. A) 45° B) 75° C) 60° D) 30° 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada