English Medium Class 10 - CBSE Important Questions for Mathematics

Which term of the progression 20, 19`1/4`,18`1/2`,17`3/4`, ... is the first negative term?

Which term of the A.P. `20, 19 1/4, 18 1/2, 17 3/4,` ..... is the first negative term?

Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

The 24^th term of an AP is twice its 10^th term. Show that its 72^nd term is 4 times its 15^th term. 

How many two-digit number are divisible by 6?

How many two-digits numbers are divisible by 3?

Find the 25^th term of the AP \[- 5, \frac{- 5}{2}, 0, \frac{5}{2}, . . .\]

The fourth term of an A.P. is 11. The sum of the fifth and seventh terms of the A.P. is 34. Find its common difference.

The nth term of an AP is given by (−4n + 15). Find the sum of first 20 terms of this AP?

Draw a triangle PQR in which QR = 6 cm, PQ = 5 cm and times the corresponding sides of ΔPQR?

If the common differences of an A.P. is 3, then a₂₀ − a₁₅ is 

Find the A.P. whose fourth term is 9 and the sum of its sixth term and thirteenth term is 40.

The first and the last terms of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?

For what value of n, the n^th terms of the arithmetic progressions 63, 65, 67, ... and 3, 10, 17, ... equal?

The sum of first seven terms of an A.P. is 182. If its 4^th and the 17^th terms are in the ratio 1 : 5, find the A.P.

If the sum of n terms of an A.P. be 3n² + n and its common difference is 6, then its first term is ______.

Which term of the  AP  3, 15, 27, 39, ...... will be 120 more than its 21st term?

If the sum of first n terms of an AP is n², then find its 10th term. 

Find the value of x, when in the A.P. given below 2 + 6 + 10 + ... + x = 1800.

Find the sum of the first 10 multiples of 6.