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

The remainder, when x³ – x² + x – 1 is divided by x + 1, is ______.

4x² – kx + 5 leaves a remainder 2 when divided by x – 1. The value of k is ______.

If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.

Check whether -150 is a term of the A.P. 11, 8, 5, 2, ....

An A.P. consists of 50 terms of which 3^rd term is 12 and the last term is 106. Find the 29^th term of the A.P.

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.