Question 1 :
The marks obtained by 17 students in a mathematics test (out of 100 ) are given below: <br>91, 82,100,100,96,65,82,76,79,90,46,64,72,66,68,48,49<br>The range of the data is<br>
Question 2 :
The mean of 100 observations is {tex} 50 . {/tex} If one of the observation which was {tex}50{/tex} is replaced by {tex} 150 , {/tex} the resulting mean will be
Question 3 :
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 4 :
Area of a parallelogram is 48 cm<sup>2</sup>. If its height is 6 cm then its base is
Question 5 :
Area of a triangle is 30 cm<sup>2</sup>. If its base is 10 cm, then its height is
Question 6 :
Area of a rhombus whose diagonals are 8 cm and 6 cm is
Question 7 :
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 8 :
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 9 :
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 10 :
If the volume of a cube is 729 m<sup>3</sup>, then its surface area is
Question 11 : 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 12 :
If the total surface area of a cube is 96 cm<sup>2</sup>, then the volume of the cube is
Question 13 : 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 14 :
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 15 :
The lateral surface area of a cube is 256 m<sup>2</sup>. The volume of the cube is
Question 16 : 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 17 : 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 18 :
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 19 :
If the perimeter of one face of a cube is 40 cm, then the sum of lengths of its edge is
Question 20 : 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 21 :
If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be
Question 22 : 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 23 : 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 24 :
What is the Surface Area of a Cube if its Volume is 2744 Cm <sup> 3 </sup> ?
Question 25 :
The length of the diagonal of a square is 32 cm. What is the perimeter? (Take √2=1.41)
Question 26 :
What is the Volume of a Cube whose edges measure 15 cm?
Question 27 :
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 29 :
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 30 :
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 31 :
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 32 :
The area of a rectangle park is 2160 m <sup> 2 </sup> . The length and breadth of the park are in the ratio 5 : 3. Find the cost of fencing the park at ₹25 per meter?
Question 33 :
The Volume of a wall, 5 times as high as it is broad and 8 times as long as it is high is 12.8 m <sup> 3 </sup> . What is the breadth of the wall?
Question 34 :
If Three Cubes of Metal of edges 6 cm, 8 cm, and 10 cm are melted and made into a single cube. What is the edge of the new cube so formed?
Question 35 :
The perimeter of a plane figure is the ______ of its boundary.
Question 36 :
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 37 :
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 38 :
What is the Volume of a Cube with Surface Area 384 cm <sup> 2 </sup> ?
Question 39 :
The length and breadth of a rectangular field are 120 m and 80 m. Inside the field, a park of 12 m width is made around the field. What is the area of the park?
Question 40 :
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 41 :
To calculate the Area of the road paved by a road roller, we need to find the ______ of the roller?
Question 42 : 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 43 :
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 44 :
What is the Total Surface Area of all the Small Cubes if 4 cm Cube is cut into 1 cm Cubes?
Question 45 :
<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 :
The number of Bricks each measuring 25 cm x 12.5 cm x 7.5 cm required to construct a wall 6 m Long, 5 m High, and 0.5 m Thick, While the Mortar occupies 5% of the Volume of the Wall is?
Question 47 :
The area of a square field is one hectare. What is the cost of fencing it at ₹26.50 per meter?
Question 48 :
The area of a rhombus is 184 cm <sup> 2 </sup> and its perimeter is 64 cm. What is the altitude?
Question 49 :
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 50 :
The base of a parallelogram is twice its height. If the area is 98 cm <sup> 2 </sup> . What is the height?
Question 51 :
If the length of a side of a rhombus is 5 m and one of its diagonal is of length 8 m. What is the length of the other diagonal?
Question 52 :
A swimming pool 70 m x 44 m x 3 m is filled by water from a pipe of diameter 35 cm at 6 m per second. What is the time required to fill the pool?
Question 53 :
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 54 :
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 55 :
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 56 :
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 57 :
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 58 :
What is the Total Surface Area of the cylinder having a diameter of 28 cm and height 20 cm?
Question 60 :
What is the area of a semi-circle of radius 10.5 cm?
Question 61 :
A Wooden Box of Dimensions 8 m x 7 m x 6 m is to carry Rectangular Boxes of dimensions 8 cm x 7 cm x 6 cm. What is the Maximum Number of Boxes that can be carried in the Wooden box?
Question 62 :
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 64 :
What is the area of the largest circle that can be drawn inside a rectangle of sides 7 m x 6 m?
Question 65 :
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 66 :
If the side of a square is doubled, What is the ratio of the area of the resulting square to that of the given square?
Question 67 :
If the length of the diagonal of a cube is 4√3 cm. What is the length of its edge?
Question 68 :
What is the height of a cylinder if the Total Surface Area is 660 cm <sup> 2 </sup> and radius 5 cm?
Question 69 :
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 70 :
What is the area of the rhombus if the length of whose diagonal are 25 cm and 16.8 cm?
Question 71 :
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 72 :
What should be the length of a rope by which a cow must be tethered in order that it may be able to gaze an area of 9856 m <sup> 2 </sup> ?
