12345678910111213141516171819202122232425262728293031323334353637383940 9-sinf matematika fanidan online test 9-sinf o'quvchilari uchun 1-bosqich fan olimpiadasiga tayyorlanish uchun mo'ljallangan online test. Test savollar soni: 40 ta Bajarish uchun ajratilgan vaqt: 90 daqiqa Sizga omad yor bo'lsin! Barcha ma'lumotlarni to'g'ri kiriting. Tarkibida 30% tuz bo’lgan 16 kg eritmani tarkibida 50% tuz bo’lgan eritma bilan aralashtirildi. Hosil bo’lgan eritmaning tarkibida 42% tuz bo’lsa, ikkinchi eritmadan necha kg olingan? 50 30 24 22 . Ifodaning eng kichik qiymatini toping: \[{p^2} - 16pq + 64{q^2} - 4\] 4 -4 12 -12 . Tenglamani yeching: \[\left| {x + 6} \right| = \left| {x + 10} \right|\] -8 -6 4 6 To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping. 35 48 65 60 Agar \[\left( {3 - a} \right)\left( {3 - b} \right)\left( {3 - c} \right) = \left( {3 + a} \right)\left( {3 + b} \right)\left( {3 + c} \right)\] bo‘lsa, \[{\left( {ab} \right)^{ - 1}} + {\left( {bc} \right)^{ - 1}} + {\left( {ac} \right)^{ - 1}}\] ni hisoblang. (Bunda \[abc \ne 0\]). \[ - \frac{1}{3}\] \[ - \frac{1}{9}\] \[\frac{1}{9}\] \[\frac{1}{{27}}\] Ikki to’g’ri chiziq kesishganda 4 ta burchak hosil bo’ldi. Bir burchakning kattaligi ikkinchisidan \(100^\circ \) ga katta. Ikkita eng katta burchakning yig’indisini toping. 280 80 140 300 Ifodaning eng kichik qiymatini toping: \(f(x,y) = {x^2} - 6x + {y^2} - 8y + 36\) 11 -10 24 \(f(x) = \frac{{3{x^2} - 13x + 16}}{2}\) va \(\begin{array}{l}{f^1}(x) = f(x)\\{f^2}(x) = f(f(x))\\{f^3}(x) = f(f(f(x)))\end{array}\) bo’lsa, \({f^{100}}(1)\) ni hisoblang. \({3^{99}}\) 3 \({3^{100}}\) \({2^{100}}\) Natural sonlar to’plamini shunday guruxlarga ajratildiki, bunda har bir guruh natural sonning kvadrati bilan tugaydi {1}, {2,3,4}, {5,6,7,8,9}, .... 17- guruhga kiruvchi sonlar yig’indisini toping. 8008 9800 289 9009 Funksiyaning aniqlanish sohasiga nechta butun son tegishli bo’ladi? \(f(x) = \frac{{\sqrt {x - 4} \cdot \sqrt[3]{{x + 5}} \cdot \sqrt[4]{{36 - {x^2}}}}}{{\sqrt[5]{{{x^2} - 11x + 30}}}}\) 3 2 butun sonlar yo’q 1 Kirish imtixonlari topshirilayotgan auditoriyadagi abituriyentlarning 40% i qizlar, qolganlari esa o’g’il bolalar. Auditoriyada eng kami bilan qancha abituriyent bo’lishi mumkin? 5 50 10 20 Agar ikki xonali sonning o’ng tomoniga 6 raqami yozib qo’yilsa, berilgan sonning yarmi bilan 500 ning yig’indisiga teng son hosil bo’ladi. Bu qanday ikki xonali son? 46 48 44 52 . Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping. 225 150 400 125 Hovuzga uchta quvur o‘tkazilgan. Birinchisi hovuzni 12 soatda, ikkinchisi 8 soatda to‘ldiradi. Uchinchisi hovuzni 1 sutkada bo‘shatadi. Agar uchala quvur birgalikda ochib qo‘yilsa, bo‘sh hovuzning yarmi qancha vaqt(soat)da to‘ladi? 2,5 2 3 1,5 Motorli qayiq bir to’xtash joyidan ikkinchisigacha 3 soatda suzib boradi, sol esa shu masofani 12 soatda suzib o’tadi. Shu masofani motorli qayiq oqimga qarshi necha soatda suzib o’tadi ? 6 9 8 15 \[2010\frac{{2009}}{{2010}} \cdot 2011\frac{{2009}}{{2010}} - 2009\frac{{2009}}{{2010}} \cdot 2012\frac{{2009}}{{2010}}\] ni hisoblang. 2 3 \[2\frac{{2009}}{{2010}}\] \[ - 2\frac{{2009}}{{2010}}\] \(ax = b\)englamaning cheksiz ko’p ildizi mavjud. bx=a tenglamaning nechta ildizi bor? bitta ildizi yo’q ikkita cheksiz ko’p Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1350, 450 1000, 800 720, 1080 820, 980 Hisoblang: \(\frac{{{2^7} \cdot {4^{10}} \cdot {8^8} \cdot {{16}^8}}}{{{{32}^{16}}}}\) 1 4 8 2 \[\left\{ \begin{array}{l}\frac{{2x + y + \frac{z}{2}}}{z} = 3\\\frac{{x + \frac{{3y}}{4} + \frac{z}{2}}}{y} = 3\end{array} \right.\] sistemadan \[\frac{z}{y}\] ni toping. \[\frac{3}{7}\] \[\frac{7}{{11}}\] \[\frac{{11}}{7}\] \[\frac{7}{3}\] . Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping. \[7\sqrt 2 \] \[3\sqrt 2 \] 6 5 \(\begin{array}{l}f(x) = ax + b\\g(x) = cx + d\end{array}\) Agar \(\frac{b}{d} = 5\)va \(f\left( {g\left( x \right)} \right) = g\left( {f\left( x \right)} \right)\)yniyat bo’lsa, \(\frac{{c - 1}}{{a - 1}}\)i toping. \(\frac{1}{5}\) 5 0 aniqlan-magan f(x) funksiya aniqlanish sohasiga tegishli ixtiyoriy x uchun \(\frac{{f( - x) \cdot f(x)}}{{{f^2}(x)}} = - 1\) bo’ladi. \(f(5) = 13\) ekani ma’lum. i hisoblang. \(5\) \( - 13\) \(65\) \(13\) Agar \(\left\{ {\begin{array}{*{20}{c}}{4x + 6y = 98}\\{6x + 4y = 92}\end{array}} \right.\)bo’lsa, x+y ni toping. \(18\frac{3}{4}\) 21 19 20 . Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. 40 sm 50 sm 56 sm 20 sm Agar \[k > 0\] va \[b = 0\] bo‘lsa, u holda \[y = kx + b\] to‘g‘ri chiziq grafigi qaysi choraklardan o‘tadi? I, II I, III I, II, III II, IV Ifodaning oxirgi raqamini aniqlang: \({3^{279}} \cdot {7^{298}} - {3^{178}} \cdot {7^{197}}\) 0 6 1 3 Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak? 38 30 34 32 . Tarkibida 85% suv bo‘lgan 0,5 t sellyuloza qorishmasida 75% suv bo‘lgan qorishma olish uchun necha kg suvni bug‘lantirish kerak? 100 400 300 200 1 dan 732 gacha bo’lgan natural sonlar ko’paytmasi nechta no’l bilan tugaydi? 179 146 181 124 Funksiyaning eng kichik qiymatini toping: \(f(x) = 2{x^6} - 7{x^3} + 9\) \(2\frac{7}{8}\) \(4\frac{1}{2}\) \(3\frac{1}{4}\) \( - 3\frac{1}{4}\) . Tenglamaning natural sonlardagi yechimida \[z\] ni toping: \[x + \frac{1}{{y + \frac{1}{z}}} = \frac{{68}}{{21}}\] 2 3 5 4 . Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. 50 34 44 48 Tenglamaning ildizlar yig’indisini toping: \((x - 1) \cdot (x - 2) \cdot (x - 3) \cdot ... \cdot (x - 99) \cdot (x - 100) = 0\) 2500 3880 5000 5050 Hisoblang: \(\frac{{1\frac{2}{3} \cdot 0,0132 \cdot \frac{3}{5} + 2\frac{1}{2} \cdot 0,0148 \cdot \frac{3}{7}}}{{0,4 \cdot 0,00993 + 0,00007}}\) 70 0,7 7 700 x sonining necha foizini x ning 30% ining 30% i tashkil qiladi ? 9 90 30 60 \({({x^7} \cdot {x^6} \cdot {x^6} \cdot {x^8})^9}\) ifodani \({({x^2})^7} \cdot {({x^2} \cdot {x^{10}})^6}\) ifodaga bo’lganda bo’linma \({x^A}\) chiqdi. A ni toping. 231 213 12 157 \[\frac{x}{2} = \frac{y}{3} = \frac{z}{5}\] bo‘lsa, \[\frac{{xyz}}{{{x^3} + {y^3} + {z^3}}}\] ifodaning qiymatini toping. \[1\frac{1}{8}\] \[\frac{3}{{16}}\] \[1\frac{{13}}{{16}}\] \[\frac{2}{3}\] \[P\left( x \right)\] ko‘phadni \[x - a\] ga bo‘lgandagi qoldiqni toping. \[P\left( a \right)\] \[P\left( {x - a} \right)\] \[P\left( x \right)\] 0 Ikki natural sonning eng kichik umumiy karralisi 240 ga teng, shu sonlarning eng katta umumiy bo'livchisi esa 16 ga teng. Bu sonlarning ko’paytmasini toping. 15 224 256 3840 Facebook Twitter VKontakte 0% Перезапустить тест