9 matematika uzb

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olimpiada topshiriqlari (ii tuman bosqichi) matematika 9 fan olimpiadalari bo‘yicha iqtidorli o‘quvchilar bilan ishlash departamenti 1-qism: har bir topshiriq 0,9 balldan baholanadi 1. hisoblang �1 3 4 : 1,125 − 1,75: 2 3 � ∙ 1 5 7 a) −1 7 12 b) −1 1 4 c) −1 5 6 d) −1 1 3 2. soddalashtiring: 27𝑎𝑎 3−64𝑏𝑏3 𝑏𝑏2−4 :9𝑎𝑎 2+12𝑎𝑎𝑎𝑎+16𝑏𝑏2 𝑏𝑏2+4𝑏𝑏+4 a) (3𝑎𝑎−4𝑏𝑏)(𝑏𝑏+2) 𝑏𝑏−2 b) (3𝑎𝑎−4𝑏𝑏)(𝑏𝑏−2) 𝑏𝑏+2 c) (3𝑎𝑎+4𝑏𝑏)(𝑏𝑏+2) 𝑏𝑏−2 d) (3𝑎𝑎+4𝑏𝑏)(𝑏𝑏−2) 𝑏𝑏+2 3. agar 3𝑥𝑥 − 𝑦𝑦 = 7 va 5𝑥𝑥 + 4𝑦𝑦 = 21 bo‘lsa, 24𝑥𝑥 + 9𝑦𝑦 ni hisoblang. a) 90 b) 78 c) 69 d) 84 4. chizmada ∠𝐴𝐴𝐴𝐴𝐴𝐴 = 120∘,∠𝐵𝐵𝐵𝐵𝐵𝐵 = 3∠𝐴𝐴𝐴𝐴𝐴𝐴 𝑣𝑣𝑣𝑣 ∠𝐴𝐴𝐴𝐴𝐴𝐴 = 2∠𝐶𝐶𝐶𝐶𝐶𝐶 bo‘lsa, ∠𝐵𝐵𝐵𝐵𝐵𝐵 burchak nimaga teng? a) 45∘ b) 50∘ c) 60∘ d) 30∘ 5. soddalashtiring: √−4𝑎𝑎 − √−8𝑎𝑎3 − √−9𝑎𝑎 − 2√𝑎𝑎3 a) −5√𝑎𝑎 b) −√−𝑎𝑎 − 4√𝑎𝑎3 c) −√−𝑎𝑎 d) −4√𝑎𝑎3 6. tenglamani yeching: 20−𝑥𝑥 20 − …

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b 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) 2198 d) 2197 olimpiada topshiriqlari (ii tuman bosqichi) matematika 9 fan olimpiadalari bo‘yicha iqtidorli o‘quvchilar bilan ishlash departamenti 16. 𝒙𝒙𝟎𝟎 haqiqiy son 3 2 21 ( 1) 4x x x+ = − − − tenglama ildizi bo‘lsa, (𝑥𝑥0 − 1)2 ni toping. a)2 b) 3 c)5 d) 7 17. 𝐴𝐴𝐴𝐴𝐴𝐴𝐴𝐴 to‘rtburchakda: 𝐴𝐴𝐴𝐴 = 𝐶𝐶𝐶𝐶,𝐵𝐵𝐵𝐵 = 𝐴𝐴𝐴𝐴. agar a burchak b burchakdan 4 marta katta bo‘lsa, to‘rtburchakning a burchagini toping. a) 124° b) 144° c) 132° d) 148° 18. chizmadagi uchburchaklar sonini toping. a) 24 b) 28 c)30 d) 26 19. 𝑓𝑓(𝑥𝑥) = 𝑎𝑎𝑎𝑎 + 𝑏𝑏 funksiya grafigi a(-1;3) va b(1;7) nuqtalar orqali o‘tadi. 𝑓𝑓�4 − 𝑓𝑓(−1)� ni toping a) 10 b) 9 c) 12 d) 7 20. ikkinchi raqami uchinchi raqamidan 4 marta …

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olimpiada topshiriqlari (ii tuman bosqichi) matematika 9 fan olimpiadalari bo‘yicha iqtidorli o‘quvchilar bilan ishlash departamenti 1-qism: har bir topshiriq 0,9 balldan baholanadi 1. hisoblang �1 3 4 : 1,125 − 1,75: 2 3 � ∙ 1 5 7 a) −1 7 12 b) −1 1 4 c) −1 5 6 d) −1 1 3 2. soddalashtiring: 27𝑎𝑎 3−64𝑏𝑏3 𝑏𝑏2−4 :9𝑎𝑎 2+12𝑎𝑎𝑎𝑎+16𝑏𝑏2 𝑏𝑏2+4𝑏𝑏+4 a) (3𝑎𝑎−4𝑏𝑏)(𝑏𝑏+2) 𝑏𝑏−2 b) (3𝑎𝑎−4𝑏𝑏)(𝑏𝑏−2) 𝑏𝑏+2 c) (3𝑎𝑎+4𝑏𝑏)(𝑏𝑏+2) 𝑏𝑏−2 d) (3𝑎𝑎+4𝑏𝑏)(𝑏𝑏−2) 𝑏𝑏+2 3. agar 3𝑥𝑥 − 𝑦𝑦 = 7 va 5𝑥𝑥 + 4𝑦𝑦 = 21 bo‘lsa, 24𝑥𝑥 + 9𝑦𝑦 ni hisoblang. a) 90 b) 78 c) 69 d) 84 4. chizmada ∠𝐴𝐴𝐴𝐴𝐴𝐴 = 120∘,∠𝐵𝐵𝐵𝐵𝐵𝐵 = 3∠𝐴𝐴𝐴𝐴𝐴𝐴 𝑣𝑣𝑣𝑣 ∠𝐴𝐴𝐴𝐴𝐴𝐴 = 2∠𝐶𝐶𝐶𝐶𝐶𝐶 bo‘lsa, ∠𝐵𝐵𝐵𝐵𝐵𝐵 burchak nimaga teng? a) 45∘ b) …

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