(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Each equal side of an isosceles triangle is 3cm less than the unequal side. The height of the perpendicular from the vertex to the unequal side is 3cm less than the equal side. If the area of the isosceles triangle is 108cm², find the perimeter of the triangle.

A wire when bent in the form of a square encloses an area of 16 cm². Find the area enclosed by it when the same wire is bent in the form of a rectangle whose sides are in the ratio of 1 : 3

A wire when bent in the form of a square encloses an area of 16 cm². Find the area enclosed by it when the same wire is bent in the form of an equilateral triangle

A chessboard contains 64 equal square and the area of each square is 6.25cm². A 2cm wide border is left inside of the board. Find the length of the side of the chessboard.

The cross-section of a canal is a trapezium in shape. If the canal is 10m wide at the top, 6m wide at the bottom and the area of cross-section is 72 sq.m, determine its depth.

The volume of a cube is 1331 cm³. Find its total surface area.

The total surface area of a cube is 864 cm². Find its volume.

Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.

The total surface area of a cube is 294cm². Find its volume.

A cuboid is 25cm long, 15cm board and 9cm high. Find the whole surface of a cube having its volume equal to that of the cuboid.

The square on the diagonal of a cube has an area of 441 cm². Find the length of the side and total surface area of the cube.

Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.

Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.

Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.

The base of a rectangular container is a square of side 12 cm. This container holds water up to 2 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 224 cm³ of water overflows. Find the volume and surface area of the cube.

Find the value of 'A', if 2 cos A = 1

Find the value of 'A', if 2 sin 2A = 1

Find the value of 'A', if cosec 3A = `(2)/sqrt(3)`

Find the value of 'A', if 2cos 3A = 1

Find the value of 'A', if `sqrt(3)cot"A"` = 1