English Medium इयत्ता १० - CBSE Important Questions for Mathematics

The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:

(A) –3
(B) 4
(C) 5
(D) 2

If the seventh term of an AP is 1/9 and its ninth term is 1/7, find its 63^rd term.

Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly saving by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.

What value is generated in the above situation?

Which term of the A.P. 3, 8, 13, 18, ..., is 78?

How many three-digit numbers are divisible by 7?

Find the sum of first 15 multiples of 8.

Find how many integers between 200 and 500 are divisible by 8.

Find the sum of n terms of the series `(4 - 1/n) + (4 - 2/n) + (4 - 3/n)+ ......`

What is the common difference of an A.P. in which a₂₁ – a₇ = 84?

If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27), then find the ratio of their 9^th terms.

In an AP, if the common difference (d) = –4, and the seventh term (a₇) is 4, then find the first term.

Find the sum of first 8 multiples of 3

The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7: 15. Find the numbers.

The common difference of the AP `1/p,  (1-p)/p,  (1-2p)/p,...` is ______.

Which term of the A.P. `-11/2, -3, -1/2`.... is `49/2`?

Find a and b so that the numbers a, 7, b, 23 are in A.P.

Find the sum of first 20 terms of an A.P. whose n^th term is given as a_n = 5 – 2n.

How many natural numbers are there between 1 and 1000 which are divisible by 5 but not by 2?

Find the common difference of an A.P. whose n^th term is given by a_n = 6_n – 5.

The next term of the A.P. : `sqrt(6), sqrt(24), sqrt(54)` is ______.