Question 1 :
The distance of the point P (-6, 8) from the origin is
Question 2 :
If the distance between the points (2, -2) and (-1, x) is 5 units, then one of the value of x is
Question 3 :
The points (-4, 0), (4, 0) and (0, 3) are the vertices of a
Question 4 : In the given figure, the area of the triangle ABC is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c377f3914bb134c8598c0" />
Question 5 :
The distance between the points A (0, 6) and B (0, -2) is
Question 6 :
The distance between the points (4, p) and (1, 0) is 5 units, then the value of p is
Question 7 :
The distance between the points (0, 5) and (-5, 0) is
Question 8 :
The distance of the point P (-4, 3) from the y-axis is
Question 9 :
AOBC is a rectangle whose three vertices are A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is
Question 10 :
The area of a square whose vertices are A (0, -2), B (3, 1), C (0, 4) and D (-3, 1) is
Question 11 :
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 12 :
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 13 :
A 20 m deep well with diameter 7 m is dug up and the earth from digging is spread evenly to form a platform 22m x 14 m. Find the height of the platform?
Question 14 :
If each side of a Cube is doubled. What is its Volume?
Question 15 :
What is the ratio of the Surface Area if Two Cubes have their volumes in the ratio 1 : 27?
Question 17 :
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 18 :
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 20 :
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 21 :
What is the Total Surface Area of a Cylinder of height: 32 cm and radius: 10.5 cm?
Question 22 :
What is the Volume of the Cube if the Perimeter of one face of a Cube is 40 cm?
Question 23 :
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 24 :
If the Surface Area of a cube is numerically equal to its volume, then the edge of the cube is?
Question 25 :
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 26 :
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 27 :
What is the Volume of the Cylinder whose height is 14 cm and the diameter of the base is 4 cm?
Question 28 :
What is the area of a semi-circle of radius 10.5 cm?
Question 29 :
If the ratio of areas of two squares is 9 : 1, What is the ratio of their perimeters?
Question 30 :
What is the Surface Area of a Cube if its Volume is 2744 Cm <sup> 3 </sup> ?
Question 32 :
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?
Question 33 :
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 34 :
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 35 :
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 36 :
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 37 :
The length of the diagonal of a square is 32 cm. What is the perimeter? (Take √2=1.41)
Question 38 :
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 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 a rectangle is 2 cm more than its breadth. If the perimeter of the rectangle is 48 cm, then what is the area?
