Question 1 :
Simplify: $\displaystyle \frac { 36ab\left( a+2 \right) \left( a+3 \right)  }{ 12a\left( a+3 \right)  } $
Question 8 :
Simplify: $\displaystyle \left( 16{ x }^{ 3 }{ y }^{ 2 }{ z }^{ 2 }+16{ x }^{ 2 }{ y }^{ 2 }{ z }^{ 3 }+16{ x }^{ 2 }{ y }^{ 3 }{ z }^{ 2 } \right) \div 8xyz$
Question 10 :
Divide: $\displaystyle 8\left( { x }^{ 3 }{ y }^{ 2 }{ z }^{ 2 }+{ x }^{ 2 }{ y }^{ 3 }{ z }^{ 2 }+{ x }^{ 2 }{ y }^{ 2 }{ z }^{ 3 } \right) \div 2{ x }^{ 2 }{ y }^{ 2 }{ z }^{ 2 }$
Question 11 :
The value of $\displaystyle \frac { 28xy\left( y-5 \right) \left( y+4 \right)  }{ 14y\left( y-5 \right)}$ is 
Question 13 :
$\displaystyle (6ab-3abc+9abcd)\div \left( -\frac { 1 }{ 3 } ab \right) $ is equal to
Question 15 :
Find the value of $\displaystyle \left( { 3x }^{ 3 }+{ 2x }^{ 2 }+x \right) \div 4x$
Question 16 :
Divide $\displaystyle 10{ a }^{ 2 }{ b }^{ 2 }\left( 5x-25 \right)$ by $15ab\left( x-5 \right) $
Question 17 :
Simplify: $\displaystyle \frac { 20xyz\left( 4x+5y+6z \right)  }{ xz\left( 40x+50y+60z \right)}$
Question 21 :
Factorisation of the expression : $\displaystyle 7{ a }^{ 2 }-49{ b }^{ 2 }$
Question 22 :
Find the value of $\displaystyle \left( { 7a }^{ 6 }-8{ a }^{ 5 }+9{ a }^{ 4 } \right) \div { a }^{ 3 }$
Question 29 :
Evaluate: $\displaystyle \frac { x\left( 8{ x }^{ 2 }-32 \right)  }{ 8x\left( x-4 \right)  } $
Question 30 :
Factorisation of the expression $\displaystyle -15x+5{ x }^{ 3 }$ gives result as
Question 31 :
Volume of the box of outer dimensions 22 cm X 12 cm X  9 cm
Question 32 :
The two parallel sides of a trapezium are $1.5m$ and $2.5m$ respectively. If the perpendicular distance between them is $6.5$ metres, the area of the trapezium is:
Question 33 :
A field is in the form of a parallelogram whose base is $420\ m$ and altitude is $36 m$. Find the cost of watering at $10$ paise per sq. m.
Question 34 :
Find the area of a quadrilateral one of whose diagonals is $30$ cm long and the perpendiculars from the two other vertices on this diagonal are $19$ cm and $11$ cm respectively.
Question 35 :
The parallel sides of a trapezium measure $14cm$ and $18cm$ and the distance between them is $9\ cm$. The area of the trapezium is
Question 36 :
The volume of a right circular cylinder whose height is $40 cm$ and the circumference of its base is $66 cm$ is
Question 37 :
The floor of a building consists of $3000$ tiles which are rhombus shaped. The diagonals of each of the tiles are $45\ cm$ and $30\ cm$. Find the total cost of polishing the floor, if cost per $m^{2}$ is $Rs. 25$.<br>
Question 38 :
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is
Question 39 :
An overhead water tanker is in the shape of a cylinder has capacity of $616$ liters. The diameter of the tank is $5.6\ m$. Find the height of the tank.
Question 40 :
The circumference of the base of a cylinder is $12\ m$ and its height is $77\ m.$ The volume of the cylinder is
Question 41 :
The dimensions of a hall are 40 m, 25 m and 20 m. If each person requires 200 cubic m, then the number of persons who can be accommodated in the hall are
Question 42 :
Find the area of a rhombus whose diagonals are of length $4\ cm$ and $1.5\ cm$.<br/>
Question 43 :
The surface area of the three coterminous faces of a cuboid are $6 cm^2$,$15 cm^2$ and $10 cm^2$ respectively. The volume of the cuboid is 
Question 44 :
Volume of cube whose length is $\dfrac {1}{4} \ cm$, is:<br/>
Question 45 :
<span>What is the volume in cubic centimetres of a $0.6$ L bottle of shampoo?</span>
Question 46 :
If the area of the trapezium is 312 $\displaystyle cm^{2}$ then the distance between the parallel sides whose lengths are 21 cm and 27 cm respectively is:
Question 47 :
A match box measures $4\ cm\times 2.4\ cm\times 1.5\ cm$. What will be the volume of a packet containing $12$ such boxes?
Question 48 :
Find the volume of $16$ cubes whose one side is $8$ cm.
Question 49 :
The area of a rhombus is $150{cm}^{2}$. The length of one of its diagonals is $10cm$. The length of the other diagonal is:
Question 50 :
Find the area of the parallelogram whose base is $17\ cm$ and height $0.8\ m$?
Question 51 :
The area of a parallelogram is $120$  $cm^{2}$ and its altitude is $10$ cm. The length of the base is
Question 52 : <p>Find the area of a quadrilateral piece of ground, one of whose diagonals is $60$ metres long and the perpendiculars from the other two vertices are $38$ and $22$ metres, respectively.</p>
Question 53 :
The lateral surface area of a cube is $256$ m$^2$. The volume of the cube is:<br/>
Question 54 :
How many bricks, each measuring $25 cm \times 11.25 cm \times 6 cm$ will be needed to build a wall $8 m \times 6 m \times 22.5 cm$ ?
Question 55 :
Find the area of a parallelogram with a base of $34$ meters and a height of $8$ meters.<br/>
Question 56 :
Find the area of a quadrilateral one of whose diagonals is $30$ cm long and the perpendiculars from the other two vertices are $19$ cm and $11$ cm respectively.
Question 57 :
The cross section of a canal is in the shape of trapezium. The canal is $15 m$ wide at the top and $9 m$ wide at the bottom. If the area of the cross section is $720 m^{2}$, then the depth of the canal is
Question 58 :
If the side of a rhombus is $20$ meters and its shorter diagonal is three fourth of its longer diagonal, then the area of the rhombus must be:
Question 59 :
The area of a field is in the shape of a trapezium measures $1440 m^{2}$. The perpendicular distance between its parallel sides is $24 m$. If the ratio of the parallel sides is $5 : 3$. What is the length of the longer parallel side?
Question 60 :
<span>The diagonals of a rhombus are $8\,cm$ and $6\,cm$ then its area will be:</span>
