Question 1 :
A Cube of side 6 cm is cut into a number of cubes each of side 2 cm. What is the number of Cubes so formed?
Question 2 :
A parallelogram has sides of 15 cm and 12 cm. If the distance between its shorter sides is 7.5 cm. What is the distance between its longer sides?
Question 3 :
What is the Total Surface Area of all the Small Cubes if 4 cm Cube is cut into 1 cm Cubes?
Question 4 :
What is the area of the largest circle that can be drawn inside a square of a side 14 cm?
Question 5 :
The length and breadth of a rectangular field are in the ratio 7 : 5 and its perimeter is 384. What is the cost of repeating the field at ₹1.25 per sq meter?
Question 6 :
A colored cloth 1.75 m long and 105 cm wide is made into square handkerchiefs of side 35 cm. How many handkerchiefs can be made with the given cloth?
Question 7 :
If the Curved Surface Area and Volume of a Cylindrical Pillar are 264 m <sup> 2 </sup> and 924 m <sup> 3 </sup> . What is the Diameter of the pillar?
Question 8 :
The perimeter of a plane figure is the ______ of its boundary.
Question 9 :
What is the area of the rhombus if the length of whose diagonal are 25 cm and 16.8 cm?
Question 10 :
Find the area of a rhombus having each side equal to 13 cm and one of its diagonals equal to 24 cm?
Question 11 :
A classroom is 10 m long, 6.4 m broad, and 5m high. If each student is given 1.6 m <sup> 2 </sup> of the floor area. How many students can be accommodated in the room?
Question 12 :
A 5 m wide lawn is cultivated all along the outside of a rectangular plot measuring 90 m x 40 m. What is the total area of the lawn?
Question 13 :
What is the Volume of a Cube whose edges measure 15 cm?
Question 15 :
The area of a rhombus is half the product of its _____?
Question 16 :
The length, breadth, and height of a Cuboid are in the ratio 6:5:3. If its Total Surface Area is 504 cm <sup> 2 </sup> . What is the Volume of the Cube?
Question 19 :
What is the number of Coins required, if one coin is 1.5 cm in diameter and 0.2 cm thick to be melted to form a Right Circular Cylinder of height 10 cm and diameter 4.5 cm?
Question 21 :
If the Length, Breadth, and Height of a Cuboid are 2 m, 2 m, and 1 m. What is the Surface Area in m <sup> 2 </sup> ?
Question 22 :
The length of the longest pole that can be placed on the floor of a room is 10m and the length of the longest pole that can be placed in a room is 10 <strong> √ </strong> 2 m. What is the height of the room?
Question 23 :
If each side of a Cube is doubled. What is its Volume?
Question 24 :
The Volume of Cuboid is 972 m <sup> 3 </sup> . If its length and breadth are 16 cm and 13.5 cm. What is the height?
Question 26 :
What is the area of a trapezium ABCD whose parallel sides are AB=19 cm, DC=9 cm, and the non-parallel sides are BC=8 cm and DA=6 cm?
Question 28 :
What is the Volume of the Cylinder whose height is 14 cm and the diameter of the base is 4 cm?
Question 29 :
How many bricks will be required to construct a wall 10 m long, 6 m high, and 22.5 cm thick, if each brick measures 25 cm x 12 cm x 9 cm?
Question 30 :
What is the ratio of the Surface Area if Two Cubes have their volumes in the ratio 1 : 27?
Question 31 :
The perimeter of a square grassy plot is 122 m. What is the cost of cutting the grass at ₹4 per sq meter?
Question 32 :
A ________, when rolled along its length or breadth, forms a Cylinder </strong> .
Question 33 :
What is the Volume of the Cube if the Perimeter of one face of a Cube is 40 cm?
Question 34 :
What is the weight of the beam if the beam is 9 m long, 40 cm wide, and 20 cm Deep is made up of iron that weighs 50 kg per cubic meter?
Question 35 :
A wire is bent into the form of a square of side 27 cm. The wire is straightened and bent into the form of a semi-circle. What will be the radius of the semi-circle so formed?
Question 36 :
If the area of a circle is 38.5 cm <sup> 2 </sup> . What is the circumference?
Question 37 :
If the length of the diagonal of a cube is 4√3 cm. What is the length of its edge?
Question 38 :
If the ratio of areas of two squares is 9 : 1, What is the ratio of their perimeters?
Question 39 :
The dimension of the floor of a rectangle hall is 4 m x 3 m. The floor of the hall is to be tiled fully with 8 cm x 6 cm rectangular tiles without breaking tiles to a smaller size, how many tiles required?
Question 40 :
The distance of 14 cm long side of a parallelogram from the opposite sides 16 cm. What is the area of the parallelogram?
Question 41 :
What is the length of the longest pole that can be placed in the park if the park is 10 m long and 8 m broad?
Question 42 :
What is its height of a Cylinder if the Curved Surface Area is 1760 <strong> m <sup> 2 </sup> </strong> and its base radius is 14 cm?
Question 43 :
Find the Lateral Surface Area of the new Cube formed if the three cubes of metal with edges 5 cm, 4 cm, 3 cm are melted to form a single cube?
Question 45 :
The area of a rhombus is 144 cm <sup> 2 </sup> , one of the diagonal is twice as long as the other. What is the length of its diagonal?
Question 47 :
A rectangular plot of land measures 95 m x 72 m. Inside the plot, a path of uniform width 3.5 m is to be constructed all around. The rest of the plot is to be laid with grass. What is the total expense involved in constructing the path at ₹46.50 per m <sup> 2 </sup> and laying the grass at ₹3.75 per m <sup> 2 </sup> ?
Question 48 :
The Total Surface Area of a Solid Cylinder is 462 cm <sup> 2 </sup> and its Curved Surface Area is one-third of its Total Surface Area. What is the Volume of the Cylinder?
Question 49 :
The area of a trapezium is 384 cm <sup> 2 </sup> . If its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them be 12 cm. What is the length of the smaller side of the parallel sides?
Question 50 :
What is the length of each edge of the cube if a solid piece of metal in the form of a cuboid of dimensions 24 cm x 18 cm x 4 cm is melted down and recast into a cube?
