Question 1 :
The length of the longest pole that can be put in a room of dimensions (10 m x 10 m x 5 m) is
Question 2 :
Area of a rhombus is 90 cm{tex}^2{/tex}. If the length of one diagonal is 10 cm then the length of other diagonal is
Question 3 :
If the perimeter of a square is 80 cm, then its area is
Question 4 :
Area of a triangle is 30 cm<sup>2</sup>. If its base is 10 cm, then its height is
Question 5 :
Area of a rhombus whose diagonals are 8 cm and 6 cm is
Question 6 :
Area of a parallelogram is 48 cm<sup>2</sup>. If its height is 6 cm then its base is
Question 7 : In the given figure, OACB is a quadrant of a circle of radius 7 cm. The perimeter of the quadrant is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3767001ce34bec8e2f00">
Question 8 :
If the total surface area of a cube is 96 cm<sup>2</sup>, then the volume of the cube is
Question 9 : In the given figure, the boundary of the shaded region consists of semicircular arcs. The area of the shaded region is equal to<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3769006e1e13a9a96fe1">
Question 10 : The area of the shaded region shown in figure below:<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d781bc669e046ac22d3d5" /width=180>
Question 11 :
A cuboid container has the capacity to hold 50 small boxes. If all the dimensions of the container are doubled, then it can hold (small boxes of same size)
Question 12 :
The lateral surface area of a cube is 256 m<sup>2</sup>. The volume of the cube is
Question 13 :
If the volume of a cube is 729 m<sup>3</sup>, then its surface area is
Question 14 :
If the area of a trapezium is 64 cm<sup>2</sup> and the distance between parallel sides is 8 cm, then sum of its parallel sides is
Question 15 : The perimeter of the shaded region is:<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d7a82fb4627429f3a8ccc" />
Question 16 :
If the perimeter of one face of a cube is 40 cm, then the sum of lengths of its edge is
Question 17 :
If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be
Question 18 :
The number of planks of dimensions (4 m x 50 cm x 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is
Question 19 : The perimeter of the shaded region shown in figure below is:<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d79d9db6c68426fc8ef8e" /width=170>
Question 20 : The given figure shows a rectangle and a semicircle. The perimeter of the shaded region is<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3768006e1e13a9a96fde">
Question 21 :
If the length of a diagonal of a quadrilateral is 10 cm and lengths of the perpendiculars on it from opposite vertices are 4 cm and 6 cm, then area of quadrilateral is
Question 22 : In the given figure, OABC is a square of side 7 cm. OAC is a quadrant of a circle with O as centre. The area of the shaded region is <br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c376798e8ad4b910e5693">
Question 23 :
Find the area of a rhombus having each side equal to 13 cm and one of its diagonals equal to 24 cm?
Question 24 :
A well is dug 8 m deep, it has a diameter of 14 m. What is the height of the embankment if the earth taken out of it has been evenly spread all around to form an embankment of width 21 m?
Question 25 :
What is the Surface Area of a Cube if its Volume is 2744 Cm <sup> 3 </sup> ?
Question 26 :
If the length of the diagonal of a cube is 4√3 cm. What is the length of its edge?
Question 27 :
What is the area of the largest circle that can be drawn inside a square of a side 14 cm?
Question 28 : In the given figure, ABC is a right angled triangle at B. A semicircle is drawn on AB as diameter. If AB = 12 cm and BC = 5 cm, then the area of the shaded region is<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c376b006e1e13a9a96fe4">
Question 29 :
How many planks can be stored in a place 15 m long, 4 m wide, and 60 m deep if each measure 5 m x 24 cm x 10 cm?
Question 30 :
The length of the diagonal of a square is 32 cm. What is the perimeter? (Take √2=1.41)
Question 31 :
A rectangle lawn 60 m x 40 m has two roads each 5 m wide running in the middle of it, one parallel to the length and another parallel to the breadth. What is the cost of traveling the road at ₹60 per sq meter?
Question 32 :
If the ratio of the lengths and breadths of a rectangle is 3 : 2 and its area is 96 cm <sup> 2 </sup> . What is the length?
Question 34 :
If the height of a Cylinder is 14 cm and its Curved Surface Area is 264 cm <sup> 2 </sup> . What is the Volume of the Cylinder?
Question 36 :
The length of two parallel sides of a trapezium are 20 cm and 30 cm and its height is 6 cm. What is the area?
Question 37 :
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 38 :
The length of the parallel sides of a trapezium are in the ratio 5 : 3 and the distance between them is 12.5 cm. If the area of the trapezium is 450 cm <sup> 2 </sup> . What is the length of its parallel sides?
Question 39 :
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 40 :
If the Areas of the three adjacent faces of a cuboidal box are 120 cm <sup> 2 </sup> , 72 cm <sup> 2 </sup> , 60 cm <sup> 2 </sup> . What is the Volume of the Box?
Question 41 :
What is the Volume of a Cube with Surface Area 384 cm <sup> 2 </sup> ?
Question 43 :
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?
Question 44 :
What is the length of the Longest Rod that can be placed in a room 30 m long, 24 m broad, and 18 m high?
Question 45 :
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 46 :
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 47 :
What is the Total Surface Area of a Cylinder of height: 32 cm and radius: 10.5 cm?
Question 48 :
What is the length of the wire if 2200 cm <sup> 3 </sup> of brass is to be drawn into a cylindrical wire of diameter 0.5 cm?
Question 49 :
A hall 40 m long and 15 m broad is to be paved with stones each measuring 6 dm x 5 dm. What is the number of stones required?
Question 50 :
What is the Volume of the Cube if the Perimeter of one face of a Cube is 40 cm?
Question 51 :
A square field has an area of 6.25 acres. What is the cost of putting a fence around it at ₹32.50 per meter?
Question 52 :
What is the ratio of the Total Surface Area to the Lateral Surface Area of a cylinder with base radius 80 cm and height 20 cm?
Question 53 :
How many Cubic Metres of the earth must be dug out to sink a well 22.5 m deep that has a diameter of 7m?
Question 55 :
A rectangle field is 50 m x 40.5 m. It has 2 crossroads through its center, running parallel to its sides. The width of the longer and the shorter roads are 1.8 m and 2.5 m. Find the total expense involved in cementing the road at ₹24 per m <sup> 2 </sup> and laying grass in the remaining part at ₹1.60 per m <sup> 2 </sup> ?
Question 56 :
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 57 :
The cross-section of a canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at the bottom and the area of the cross-section is 640 m <sup> 2 </sup> . What is the length of the canal?
Question 59 :
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 60 :
What is the diagonal of a square having each side 8 m long? (Take √2=1.41)
Question 61 :
If the perimeter of a rectangle field is 200 m and its breadth is 40 m. What is the area?
Question 62 :
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 63 :
1 m <sup> 3 </sup> = ________ cm <sup> 3 </sup>
Question 64 :
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 65 :
What is the area of the rhombus if the length of whose diagonal are 25 cm and 16.8 cm?
Question 66 :
If the perimeter and area of a square are numerically equal then, What is the length of its side?
Question 68 :
A Rectangular SandBox is 5 m wide and 2 m long. How many Cubic Metres of Sand is needed to fill the Box unto a Depth of 10 cm?
Question 69 :
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m <sup> 2 </sup> . What is the area of the lawn?
Question 70 :
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 71 :
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 72 :
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> ?
