Test Details

Algebraic Formulae - Expansion of Squares

Feb 24, 7:30 PM

90 minutes

Feb 24, 11:00 PM

50.0 marks

MCQ

35 questions

vinayak sir

Hi good morning students सर्व विद्यार्थी सकाळी आठ ते अकरा या वेळेत येथे उपस्थित राहतील काही अडचणी असल्यास आपण विचारू शकता सर्व विषयाचे तास सुरू आहेत

Class Details

Mathematics

Class 8th Scolership Exam

Mathematics

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Question Text

Question 6 :
If $a + b = 8, a -b = 4$, then $a^2 + b^2$ is equal to:

Question 7 :
<span>Use identity to get the product of </span>$(x + 3) (x + 3)$

Question 9 :
<span>Factorise completely and s</span><span>tate whether the answer is True or False.</span><div>$8x^2 y - 18 y^3$ is $2y(2x+3y)(2x-3y)$.</div>

Question 10 :
<span>State whether True or False:</span><div>Factorization of $(a - 3b)^2 - 36 b^2$ is $(a + 3b) (a - 9b)$.<br/></div>

Question 11 :
If the polynomial $f(x)$ is such that $f(-43) = 0$, which of the following is the factor of $f(x)$?

Question 12 :
If $P(-7) = 0$ then a factor of $P(x)$ is _________.

Question 17 :
________ is a method of writing numbers as the product of their factors or divisors.<br>

Question 19 :
<span>Factorise completely and s</span><span>tate whether the answer is True or False.</span><div>$ax^2 - ay^2$ is $a(x+y)(x-y)$.</div>

Question 20 :
If $x + 1/x = 15$ then $x^2 + 1/x^2$ is equal to

Question 22 :
<span>If $\displaystyle a^{2} + \frac{1}{a^{2}} = 47$ and $\displaystyle a \neq 0$; find </span>$\displaystyle a + \frac{1}{a}$ .

Question 23 :
If n is a perfect square then the next perfect square greater than n is

Question 25 :
Consider the following statements :<br>1. $x - 2$ is a factor of $x^{3} - 3x^{2} + 4x - 4$<br>2. $x + 1$ is a factor of $2x^{3} + 4x + 6$<br>3. $x - 1$ is a factor of $x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$<br>Of these statements<br>

Question 26 :
The value of $k$ for which $x - 1$ is a factor of the polynomial $4 x ^ { 3 } + 3 x ^ { 2 } - 4 x + k$ is

Question 31 :
<span>If $a\, +\, \displaystyle \frac{1}{a}\, =\, 6$ and $a\, \neq \, 0$, find </span>$a^{2}\, -\, \displaystyle \frac{1}{a^{2}}$ .

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