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Олимпиада 9 кл русс

Authored by Mereke Suleimenova

Mathematics

9th Grade

Used 3+ times

Олимпиада 9 кл русс
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25 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (28)2⋅26⋅22222\frac{\left(2^8\right)^2\cdot2^6\cdot2^2}{2^{22}}  Вычислить 

4

49

1

7

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Дважды бросают симметричную манету.Найти вероятность того, что оба раза выпала одна сторона.

 19\frac{1}{9}  

 13\frac{1}{3}  

 12\frac{1}{2}  

 16\frac{1}{6}  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (x5−5xy2)+(x5−y2x)\left(x^5-5xy^2\right)+\left(x^5-y^2x\right)  Упростить

 −8x2y5-8x^2y^5  

 x5−6xy2x^5-6xy^2  

 2x10−8xy2x^{10}-8xy  

 2x5−6xy22x^5-6xy^2  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 n2+4nm+4m2n3+8m3\frac{n^2+4nm+4m^2}{n^3+8m^3}  Упростить

 n+2mn2−2mn−4m2\frac{n+2m}{n^2-2mn-4m^2}  

 n+2mn2−2mn+4m2\frac{n+2m}{n^2-2mn+4m^2}  

 n−2mn2−2mn−4m2\frac{n-2m}{n^2-2mn-4m^2}  

 n+2mn2−2m−4m2\frac{n+2m}{n^2-2m-4m^2}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 9x2−5x−4=09x^2-5x-4=0  Найти наибольший корень уравнения

1

 49\frac{4}{9}  

-2

 13\frac{1}{3}  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=15x−3y=\frac{1}{5x-3}  Найдите область определения функции

 (−∝;−1.5)U[1.5;+∝)\left(-\propto;-1.5\right)U\left[1.5;+\propto\right)  

 (−1.5;0)U(0;1.5)\left(-1.5;0\right)U\left(0;1.5\right)  

 (−∝;35)U(35;−∝)\left(-\propto;\frac{3}{5}\right)U\left(\frac{3}{5};-\propto\right)  

 (−1.5;0]U[0;1.5]\left(-1.5;0\right]U\left[0;1.5\right]  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Определить квадратное неравенство.

x3+12x≤0x^3+12x\le0

(5x−1)(5x+1)+(5x+2)2\left(5x-1\right)\left(5x+1\right)+\left(5x+2\right)^2

5x2−2x4+7<05x^2-2x^4+7<0

6x≤126x\le12

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