CBSE Class 10 Mathematics Question Paper Solved 2021 Set A

SECTION A

1. If the numbers n - 2, 4n - 1 and 5n + 2 are in A.P., then find the value of n :

2. In an AP, if d=–4,n=7,a_n=4, then find a.

3. One coin is tossed thrice. Find The probability of getting neither 3 heads.

4. If the perimeter of a circle is equal to that of a square, then find the ratio of their areas .

SECTION B

5. A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.

6. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag.

What is the probability that the ball drawn is (i) red ?(ii) not red ?

7. Find two numbers whose sum is 27 and product is182.

8. Find the 31^st term of an A.P. whose 11 ^th term is 38 and the16 ^th term is 73.

9. Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4cm and 3cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

10 A chord of a circle of radius 10cm subtends a right angle at the centre. Find the area of the corresponding: [Use π =3.14]

(i) Minor segment (ii) Major sector