Question 1 :
If the perimeter of a square is 80 cm, then its area is
Question 2 :
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 3 : 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 4 : 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 5 :
If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be
Question 6 : 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 7 :
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 8 : 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 9 : 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 10 :
If the total surface area of a cube is 96 cm<sup>2</sup>, then the volume of the cube is
Question 11 :
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 12 : 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 13 :
If the volume of a cube is 729 m<sup>3</sup>, then its surface area is
Question 14 :
If the perimeter of one face of a cube is 40 cm, then the sum of lengths of its edge is
Question 15 :
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 16 :
The lateral surface area of a cube is 256 m<sup>2</sup>. The volume of the cube is
Question 17 : 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 18 :
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 19 :
What is the Total Surface Area of the cylinder having a diameter of 28 cm and height 20 cm?
Question 20 :
A rectangular grassy plot 110 m long and 65 m wide has a gravel path 3 m wide all round it on the inside. Find the cost of leveling the path at 680 paise per sq meter?
Question 21 :
What is the Volume of the Cube if the Perimeter of one face of a Cube is 40 cm?
Question 22 :
To calculate the Area of the road paved by a road roller, we need to find the ______ of the roller?
Question 23 :
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 25 :
The length of a hall is 4/3 times its breadth and the area of the hall is 300 m<sup>2 </sup> . What is the difference between the length and breadth?
Question 26 :
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 27 :
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 28 :
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 29 :
The perimeter of a plane figure is the ______ of its boundary.
Question 31 :
The area of a rectangle is 20 m <sup> 2 </sup> and its length is 8m. What is the perimeter of the rectangle?
Question 32 :
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 33 :
The length, breadth, and height of a room are 8m, 6.5 m, and 3.5 m. What is the area of 4 walls of the room?
Question 34 :
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 35 :
What is the height of a Cylinder if the Total Surface Area is 660 cm <sup> 2 </sup> and the radius is 5 cm?
Question 36 :
What is the area of the largest circle that can be drawn inside a square of a side 14 cm?
Question 37 :
What is the height of a cylinder if the Total Surface Area is 660 cm <sup> 2 </sup> and radius 5 cm?
Question 38 :
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 39 :
The cost of carpeting a room 18 m long with a carpet 75 cm wide at ₹74.50 per meter is ₹13,410. What is the breadth of the room?
Question 41 :
A rectangle has 15 cm as its length and 150 cm<sup>2 </sup> as its area. Its area is increased to 1<sup>1 </sup> ⁄ <sub> 3 </sub> times the original area by increasing only its length. What is the new perimeter?
Question 42 :
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 43 :
If the Volume of a Cylinder is numerically equal to its Curved Surface Area. What is the radius of the base?
Question 44 :
<strong> Each brick measures 25 cm x 12.5 cm x 7.5 cm </strong> , How many Bricks will be needed to construct a wall 15 m long, 1.8 m high, and 37.5 cm thick?
Question 46 :
What is the Volume of the Cylinder whose height is 14 cm and the diameter of the base is 4 cm?
Question 47 :
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 48 :
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 49 :
A rectangular grassy lawn measuring 38 m x 25 m has been surrounded externally by a 2.5 m wide path. Calculate the cost of graveling the path at the rate of ₹34.50 per sq meter?
Question 50 :
What is the length of the longest rod that can be placed in a room 16 m long, 12 m broad and 32/3 m high?
