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Maths 1 Marks Question

Algebraic Expressions, Identities and Factorisation · CBSE STD 8 (CBSE - English Medium). 58 questions.

Questions · Page 2 of 2

1 Marks Question

Question 511 Mark
Factorised form of $18mn + 10mnp$ is ________.
Answer
Factorised form of $18mn + 10mnp$ is $2mn(9 + 5p).$
​​​​​​​Solution:
We have, $18mn + 10mnp = 2 \times 9 \times m \times n + 2 \times 5 \times m \times n \times p = 2mn(9 + 5p)$
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Question 521 Mark
Factorisation of $-3a2 + 3ab + 3ac$ is $3a(-a - b - c).$
Answer
False.
Solution:
We have,
$-3a^2+ 3ab + 3ac = 3a(-a + b + c)$
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Question 531 Mark
An equation is true for all values of its variables.
Answer
False.Solution:
As equation is true only for some values of its variables, e.g. $2x - 4 = 0$ is true, only for $x = 2.$
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Question 541 Mark
The value of $p$ for $51^2-49^2=100 p$ is $2.$
Answer
We have,
$51^2-49^2=100 p$
$(51 + 49)(51 - 49)= 100p$
$100 × 2= 100p$
$p = 2$
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Question 551 Mark
The sum of areas of two squares with sides $4a$ and $4b$ is _______.
Answer
The sum of areas of two squares with sides $4a$ and $4b$ is $16(a^2+ b^2)$.
Solution:
Area of square $= (side)^2$
Area of the square whose one side is $4a = (4a)^2= 16a^2$
Area of the square with side $4b = (4b)^2= 16b^2$ 
Sum of the areas $= 16a^2+ 16b^2$
$= 16(a^2+ b^2)$
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Question 561 Mark
Carry out the following divisions:
$51 x^3 y^2 z \div 17 x y z$
Answer
$51 x^3 y^2 z \div 17 x y z$
$=\frac{51\text{y}^3\text{y}^2\text{z}}{17\text{x}\text{yz}}$
$=\frac{17\times3\times\text{x}\times\text{x}\times\text{x}\times\text{y}\times\text{y}\times\text{z}}{17\times\text{x}\times\text{y}\times\text{z}}$
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Question 571 Mark
Factorised form of $ p^2+ 30p + 216$ is $(p + 18) (p - 12).$
Answer
False.
Solution:
We have,
$ p^2+30 p+216=p^2+(12+8) p+216 $
$ =p^2+12 p+18 p+216 $
$= p(p + 12) + 18(p + 12)$
$= (p + 18)(p + 12)$
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Question 581 Mark
The coefficient in $-37abc$ is __________.
Answer
The coefficient in $-37abc$ is $-37.$
Solution:
The constant term (with their sign) involved in term of an algebraic expression is called the numerical coefficient of that term.
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1 Marks Question - Page 2 - Maths STD 8 Questions - Vidyadip