Question 1 :
The circumference of a given circular park is $55$ m. It is surrounded by a path of uniform width $3.5$ m. Find the area of the path.

Question 2 :
If the area of a triangle with base $x$ is equal to area of a square of side $x$, then the altitude of the triangle is __________.

Question 3 :
One side of a parallelogram is $8$ cm. If the corresponding altitude is $6$ cm, then its area is given by<br/>

Question 4 :
The area of a parallelogram is $120$ &#160;$cm^{2}$ and its altitude is $10$ cm. The length of the base is

Question 5 :
In a trapezium whose parallel sides measure 12 cm and 10 cm and the distance between them is 8 cm. Find the area of trapezium---

Question 6 :
The area of a field surveyed is $11,200\ sq. m.$ the readings in the given field book are in meters.<br><table class="wysiwyg-table"><tbody><tr><td></td><td>To $D$</td><td></td></tr><tr><td></td><td>$200$</td><td></td></tr><tr><td><br></td><td>$160$</td><td>$'x'$ to $C$</td></tr><tr><td>To $E 'x'$</td><td>$120$</td><td></td></tr><tr><td></td><td>$80$</td><td>$40$ to $B$</td></tr><tr><td>To $F\ 40$</td><td>$40$</td><td><br></td></tr><tr><td></td><td>From $A$</td><td></td></tr></tbody></table>The value of $x$ will be

Question 7 :
The area of an equilateral triangle of side $13$ cm, is

Question 8 :
the effect on the area of the circle if the radius is doubled.

Question 9 :
The radius of a circle is $20 cm$. If more concentric circles are drawn inside it in such a manner that it is divided into 4 equal parts, find the radius of the smallest circle.

Question 10 :
The cost of leveling a circular field at $Rs. 2$ per sq. metre is $Rs. 33957$. Calculate&#160;the area of the field.

Question 15 :
The two adjacent sides of a rectangle are $5x^2-3y^2$&#160;and $x^2 +2xy$. Find its perimeter.

Question 19 :
State whether true or false :<br>The coefficient of $ab$ in $ -ab $ is $-1 $

Question 20 :
Number of terms in the expansion $\left( a+b \right) \left( c+d \right) $ is ________.

Question 21 :
State whether the following statement is true or false.<br/>After Subtracting&#160;$-x^{4} + 4x^{3} y - 8x^{2} y^{2} + 2 xy^{3} - 4y^{4}$ from $ -5x^{3}y + x^{2}y^{2} - 6y^{4}$ we get,$ x^{4} - 9x^{3}y + 9x^{2} y^{2} - 2xy^{3} -2y^{4}$

Question 22 :
State True or False:$ 3x^2+5xy-4y^2+x^2-8xy-5y^2 $ is equal to $4x^2-3xy-9y^2 $.<br/>