Questions

[3 marks sum]

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38 questions · timed · auto-graded

Question 13 Marks
Find the quotient and remainder : $\left(6 a^2-31 a+47\right)$ is divided by $(2 a-5)$
Answer
$Q =3 a-8, R =7$
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Question 23 Marks
The product of two numbers is $\left(x^6-y^6\right)$. If one of the numbers is $(x-y)$, then find the other.
Answer
$x^5+x^4 y+x^3 y^2+x^2 y^3+x y^4+y^5$
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Question 33 Marks
There are $(3 x+5 y)$ shelves in a library and in each shelve there are $(5 x+3 y)$ books. How many books are there in the library?
Answer
$15 x^2+34 x y+15 y^2$
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Question 43 Marks
Multiply : $\left(3 x^5-7 x^3+2 x^2-x+4\right)$ by $\left(x^3-2 x^2+3 x-1\right)$
Answer
$3 x^8-6 x^7+2 x^6+13 x^5-26 x^4+19 x^3-13 x^2+13 x-4$
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Question 53 Marks
Multiply : $\left(8 x^4-3 x^2+9 x-8\right)$ by $\left(2 x^2-5 x+3\right)$
Answer
$16 x^6-40 x^5+18 x^4+33 x^3-70 x^2+67 x-24$
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Question 63 Marks
Multiply : $\left(6 x^3-5 x^2+4 x+1\right)$ by $\left(x^2+7 x-1\right)$
Answer
$6 x^5+37 x^4-37 x^3+34 x^2+3 x-1$
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Question 73 Marks
Multiply : $\left(4 x^2+24 x y+3 y^2\right)$ by $\left(x^2-x y+y^2\right)$
Answer
$4 x^4+20 x^3 y-17 x^2 y^2+21 x y^3+3 y^4$
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Question 203 Marks
Multiply : $\left(7 a^3-5 a b^2-2 b^3+3 a b+2 a-5\right) by -3 a b^2$
Answer
$-21 a^4 b^2+15 a^2 b^4+6 a b^5-9 a^2 b^3-6 a^2 b^2+15 a b^2$
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Question 213 Marks
Multiply : $\left(3 x^2 y-2 x y^2+5 x y-6\right)$ by $4 x y$
Answer
$12 x^3 y^2-8 x^2 y^3+20 x^2 y^2-24 x y$
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Question 243 Marks
Multiply : $\left(-\frac{5}{8} p^2 q\right)$ by $\left(\frac{16}{25} p q^2\right)$
Answer
$-\frac{2}{5} p^3 q^3$
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Question 253 Marks
Multiply : $\left(-\frac{2}{3} a^6 b^5\right)$ by $\left(-\frac{9}{4} a^2 b^3\right)$
Answer
$\frac{3}{2} a^8 b^8$
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Question 263 Marks
Multiply : $\left(-\frac{5}{9} a x^2\right)$ by $\left(-\frac{3}{5} b x a^2\right)$
Answer
$\frac{1}{3} a^3 x^3 b$
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Question 303 Marks
What must be subtracted from $a^2+b^2+c^2-3 a b c$ to get $2 a^2-b^2-3 c^2+a b c$ ?
Answer
$-a^2+2 b^2+4 c^2-4 a b c$
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Question 313 Marks
What must be subtracted from $3 x^2 y-2 x y^2+7 x-2 y$ to get $7 x y^2-5 x^2 y-3 x+3 y$ ?
Answer
$8 x^2 y-9 x y^2+10 x-5 y$
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[3 marks sum] - MATHS STD 8 Questions - Vidyadip