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

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is divided by 0.25

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is increased by 50%

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is decreased by 10%

The mean of 4 observations is 20. If one observation is excluded, the mean of the remaining observations becomes 15. Find the excluded observation.

The mean monthly income of 8 men is Rs. 8079.75. A man whose monthly income is Rs. 8280 has also been taken into consideration. Calculate the mean monthly income of all the men.

The mean of 200 observations is 20. It is found that the value of 180 is wrongly copied as 280. Find the actual mean.

A boy scored the following marks in various class tests during a term, each test being marked out of 20.
15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16
What is his mean marks?

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.