## Important Questions for Class 10 Maths Chapter 1 Real Number , Chapter 2 Polynomials , Chapter 4 Quadratic Equations, Chapter 5 Arithmetic Progressions And Chapter 15 Probability  will help you to Score better Marks.This consists of all types of Questions 1 Mark , 2 Marks , 3 Marks and All  so 5 Marks.

1. Prove that the square of any positive integer is of the form 5n, 5n + 1, 5n + 4 for some
integer n.

2.Use Euclid's decision algorithm to find HCF of (i)100 and 190 (ii) 75 and 243

3.show that $4-\sqrt{2}$ is irrational number

4.Find all zeros of the polynomial $x^{4}+x^{3}-34x^{2}-4x+10$ ; if two zeros are 2 and -2.

6.sum of two numbers is 15 .If sum of their reciprocals is 3/10 ; find the numbers.

7.  Find value of k if roots are equal
(i)   kx (x-3)+9=0.       (ii) $x^{2}-4kx+k$.

$9x^{2}-9(a+b)x&space;+(2a^{2}+5ab+2b^{2}).$

9.find factor   $\sqrt{2}x^{2}+7x&space;+&space;5\sqrt{2}$

10.If the 5 term of an A.P. is 31 and 25th term is 140 more than the 5th term, find the AP.

11.Find the 10 term from the end of the AP 8,10,12,.....126.

12.Find the number of all three digit natural numbers which are divisible by 9.

13.In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and
d, the common difference.

14.The sum of first n terms of an A.P. is 5n² + 3n. If its mth term is 168, find the value m. Also, find the 20th term of this A.P.

15.The king, queen and jack of clubs are removed from a deck of 52 playing cards and theremaining cards are shuffled. A card is drawn from the remaining cards. Find theprobability of getting a card of :(1) heart
(2) queen
(3) clubs

17.In a single throw of a pair of different dice, what is the probability of getting.
(i) a prime number on each dice?
(ii) a total of 9 or 11?
18.   A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will not be a white marble?

19.  From a well-shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen.

20.   A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. Find the probability of getting a black ball.