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Question 1:

In an isosceles triangle $\mathrm{ABC}, \mathrm{AB}=\mathrm{AC}$ and $\mathrm{AD}$ is perpendicular to $\mathrm{BC}$ at $\mathrm{D}$. If $\mathrm{AD}=8 \sqrt{3} \mathrm{~cm}$ and perimeter of triangle ABC is $128 \mathrm{~cm}$, then the area of $\mathrm{ABC}$ is:

Question 2:

A matchbox measures 4cm × 2.5cm × 1.5cm. What will be the volume of a packet containing 12 such boxes?

Question 3:

Perimeter of a square $A$ is $60 \sqrt{2} \mathrm{~cm}$. What is the area of square B whose side is equal to the diagonal of square A? (in $\mathrm{cm}^{2}$ )

Question 4:

The ratio of the length and breadth of a rectangle is $6: 5$ and its area is $6,750 \mathrm{~cm}^{2}$. Find the ratio of the breadth to the area of the rectangle.

Question 5:

The height and slant height of a right circular cone are $24 \mathrm{~cm}$ and $25 \mathrm{~cm}$ respectively. Considering the value of $\pi$ as $\frac{22}{7}$, find the curved surface area of the cone.

Question 6:

The ratio of length and breadth of a rectangle is $3: 1$. If its perimeter is $96 \mathrm{~m}$, then what will be the length of the rectangle?

Question 7:

A sphere of radius $9 \mathrm{~cm}$ is moulded to form a cylinder of radius $3 \mathrm{~cm}$. Find the height of the cylinder.

Question 8:

The length of one side of a rhombus and one of the two diagonals is $6 \mathrm{~cm}$. The area of a rhombus is......... $\mathbf{c m}^{2}$.

Question 9:

The sum of the lengths of the sides of a cube is $3 / 5$ of the perimeter of the square. If the numerical value of the volume of a cube is equal to the numerical value of the area of the square, then the perimeter of the square is

Question 10:

The capacities of two hemispherical vessels are 6.4 liter and 21.6 liter. What is the ratio of their internal curved surface area accordingly?