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

If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?

How many multiples of 4 lie between 10 and 250?

Determine the A.P. whose 3^rd term is 16 and the 7^th term exceeds the 5^th term by 12.

Find the 20^th term from the last term of the A.P. 3, 8, 13, …, 253.

Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the n^th week, her week, her weekly savings become Rs 20.75, find n.

Find the sum of the following APs:

2, 7, 12, ..., to 10 terms.

Find the sum of the following APs.

−37, −33, −29, …, to 12 terms.

Find the sum of the following APs.

0.6, 1.7, 2.8, …….., to 100 terms. 

Find the sum of the following APs.

`1/15, 1/12, 1/10`, ......, to 11 terms.

Find the sum given below:

34 + 32 + 30 + ... + 10

Find the sum given below:

–5 + (–8) + (–11) + ... + (–230)

In an AP: Given a = 5, d = 3, a_n = 50, find n and S_n.

In an AP, given a = 7, a₁₃ = 35, find d and S₁₃.

The first and last terms of an AP are 17 and 350, respectively. If the common difference is 9, how many terms are there, and what is their sum?

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.

A model of a ship is made to a scale 1: 300

1) The length of the model of the ship is 2 m. Calculate the lengths of the ship.

2) The area of the deck ship is 180,000 m2. Calculate the area of the deck of the model.

3) The volume of the model in 6.5 m3. Calculate the volume of the ship.

If (x + 2) and (x + 3) are factors of x³ + ax + b, find the values of ‘a’ and ‘b’.

On a map drawn to a scale of 1: 50,000, a rectangular plot of land ABCD has the following dimensions. AB = 6 cm; BC = 8 cm and all angles are right angles. Find:

1) the actual length of the diagonal distance AC of the plot in km.

2) the actual area of the plot in sq. km.

Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.