Test Details

Algebraic Expressions and Identities,Mensuration

Study point

Jan 22, 6:05 PM

60 minutes

Jan 23, 7:00 PM

50.0 marks

MCQ

25 questions

STUDY POINT CBSE ICSE

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Class Details

Maths

Science

Sst

ENG

Hindi

Computer

Class :8

Maths

Science

Sst

ENG

Hindi

Computer

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Question Text

Question 1 :
An Olympic swimming pool is in the shape of a cuboid of dimensions $50$ m long and $25$ m wide. If it is $3$ m deep throughout, how many liters of water does it hold?

Question 2 :
One side of a parallelogram is $18cm$ and its distance from the opposite side is $8cm$. The area of the parallelogram is:

Question 3 :
Find the area of the parallelogram whose base is $17\ cm$ and height $0.8\ m$?

Question 4 :
The sum of the radius and the height of a solid cylinder is 37 cm If the total surface area of the solid is$\displaystyle 1628cm^{2}$ find the circumference of the base

Question 7 :
$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$, find M.

Question 8 :
If $a-b=3$ and $ \displaystyle a^{3}-b^{3}=117 $ then $a+b$ is equal to 

Question 10 :
Simplify the following:  $(\sqrt{3}-\sqrt{2})^{2}$ is equal to $5-2\sqrt{6}$  If true then enter $1$ and if false then enter $0$

Question 11 :
If $3x-7y = 10$ and $xy = -1$, then the value of $9x^2\, +\, 49y^2$ is equal to

Question 12 :
$(-3x^{2} + 5x - 2) - 2(x^{2} - 2x - 1)$ If the expression above is rewritten in the form $ax^{2} + bx + c$, where $a, b$ and $c$ are constants, what is the value of $b$?

Question 13 :
If $\dfrac{x^{a^2}}{x^{b^2}} = x^{16}, x > 1,$ and $a+b=2$, what is the value of $a-b$?

Question 14 :
Find the difference between the values of $5m^3-4m$ and $2m^2+9$, when $m=-2$.

Question 15 :
Given that $a(a + b) =36$ and $b(a +b) = 64$, where $a$ and $b$ are positive, $(a -b)$ equals:

Question 22 :
The value of$\displaystyle \left ( x-y \right )^{3}+\left ( x+y \right )^{3}+3\left ( x-y \right )^{2}\left ( x+y \right )+3\left ( x+y \right )^{2}\left ( x-y \right )$ is

Question 24 :
If $x+y=a $ and $xy=b$, then the value of $\displaystyle \frac{1}{x^{3}}+\frac{1}{y^{3}} $ is

Question 25 :
Two numbers are such that their sum multiplied by the sum of their squares is $5500$ and their difference multiplied by the difference of the squares is $352$. Then the numbers are ?

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