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

Construct a parallelogram ABCD. Given:
AB = 5.5cm, BC = 3.5cm, ∠B = 75°

Construct a parallelogram ABCD. Given:
AB = 3.5cm, AC = 4cm and BD = 5.2cm

Construct a parallelogram PQRS in which PQ = 6.4cm, QR = 4cm and the distance between PQ and SR is 3cm.

Construct a parallelogram ABCD in which AB = 4.5cm, ∠A = 105° and the distance between AB and CD is 3.2cm.

Find the area of a triangle whose base is 3.8 cm and height is 2.8 cm.

Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.

Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.

The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.

Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.

The base of a triangle field and its height are in the ratio 2:5. If the cost of cultivating the field at Rs.42 per sq. m is Rs.7560, find its base and height.

The cost of fencing a triangular field at the rate of Rs.15 per m is Rs.900. If the lengths of the triangle are in the ratio 3:4:5, find the area of the triangle and the cost of cultivating it at Rs.48 per kg sq.m.

Find the area of a triangle with a base 12cm and a height equal to the width of a rectangle having area of 96cm² and a length of 12cm.

Find the area of a triangle with a base 12cm and a height equal to the width of a rectangle having area of 96cm² and a length of 12cm.

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

The length, breadth, and height of a rectangular solid are in the ratio 6 : 4 :3. If the total surface area is 1728 cm². Find its dimensions.

The length and breadth of a cuboid are 20 cm and 15 cm respectively. If its volume is 2400 cm³, find its height.

Find the volume of a cuboid whose diagonal is `3sqrt(29)"cm"` when its length, breadth and height are in the ratio 2 : 3 : 4.

The total surface area of a cuboid is 46m². If its height is 1m and breadth 3m, find its length and volume.

The length breadth and height of a cuboid are in the ratio of 3 : 3 : 4. Find its volume in m³ if its diagonal is `5sqrt(34)"cm"`.

A square plate of side 'x' cm is 4 mm thick. If its volume is 1440 cm³; find the value of 'x'.