(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Find the sum of G.P. :

`1 - 1/3 + 1/3^2 - 1/3^3 + .........` to n terms.

Find the sum of G.P. :

`(x + y)/(x - y) + 1 + (x - y)/(x + y) + ..........` upto n terms. 

Find the sum of G.P. :

`sqrt(3) + 1/sqrt(3) + 1/(3sqrt(3)) + ..........` to n terms. 

How many terms of the geometric progression 1 + 4 + 16 + 64 + …….. must be added to get sum equal to 5461?

Find the sum of G.P. : 3, 6, 12, .........., 1536.

Find the geometric mean between `4/9` and `9/4`

Find the geometric mean between 14 and `7/32`

Find the geometric mean between 2a and 8a³

Q 2

Q 3.1

Q 3.2

Q 3.3

The sum of three numbers in G.P. is `39/10` and their product is 1. Find the numbers.

Q 7

Q 8

The first term of a G.P. is –3 and the square of the second term is equal to its 4^th term. Find its 7^th term.

In a Arithmetic Progression (A.P.) the fourth and sixth terms are 8 and 14 respectively. Find that:
(i) first term
(ii) common difference
(iii) sum of the first 20 terms. 

A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the  remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.

Give your answer correct to the nearest whole number.Taken`pi = 22/7`.

The model of a building is constructed with the scale factor 1 : 30. 
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m³, find the volume of the tank on the top of the model. 

The sum of the first three terms of an Arithmetic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.