# CBSE Class 10 Mathematics Sample Paper Set H

Read and download PDF of CBSE Class 10 Mathematics Sample Paper Set H designed as per the latest curriculum and examination pattern for Class 10 issued by CBSE, NCERT and KVS. The latest Class 10 Mathematics Sample Papers have been provided with solutions so that the students can solve these practice papers and then compare their answers. This will help them to identify mistakes and improvement areas in Mathematics Standard 10 which they need to study more to get better marks in Grade 10 exams. After solving these guess papers also refer to solved Class 10 Mathematics Question Papers available on our website to build strong understanding of the subject

## Mathematics Sample Paper Class 10

Students can refer to the below Class 10 Mathematics Sample Paper designed to help students understand the pattern of questions that will be asked in Grade 10 exams. Please download CBSE Class 10 Mathematics Sample Paper Set H

### Mathematics Class 10 Sample Paper

SECTION – A

1. Find the value of k for which x = 1 is a root of the quadratic equation x2 + kx + 3 = 0.

2. If 5x + 2, 4x – 1 and x + 2 are in A.P. then find the value of x.

3. What is the probability of getting 53 Fridays in a leap year?

4. Find the coordinates of the mid point of the line segment joining (8, -2) and origin.

SECTION – B

5. If the point P(x, y) is equidistant from the points A(5, 1) and B(-1, 5) prove that 3x = 2y.

6. 50 circular plates each of diameter 14cm and thickness 0.5cm are placed one above the other to form a right circular cylinder. Find its total surface area.

7. If - 4 is a root of the equation x2 + px - 4 = 0 and the equation x2 + px + q = 0 has equal roots, find the value of p and q.

8. The radii of two circles are 8cm and 6cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.

9. The dimensions of a metallic cuboid are 100cm x 80cm x 64cm. It is melted and recast into a cube. Find the surface area of the cube.

10. Which term of the A.P. 25, 20, 15…… is the first negative term?

SECTION – C

11. A wooden article is made by scooping out a hemisphere of maximum possible diameter from each end of a solid cylinder. If the height of the cylinder is 10cm and its base is of radius 3.5cm, find the volume of the article.

12. Prove that the parallelogram circumscribing a circle is a rhombus.

13. The sum of the first 8 terms of an A.P. is 100 and the sum of its first 19 terms is 551.Find the A.P.

14. Draw a circle of radius 3.5 cm. Construct a pair of tangents to this circle, which are inclined to each other at an angle of 600. Also measure the length of the tangents.

15. A chord of a circle of radius 21cm subtends a right angle at the centre. Find the area of the corresponding
a) Minor segment     b) Major sector.

16. A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5cm and 13cm respectively.
The radii of the hemispherical and conical parts are the same as that of the cylindrical part.Find the surface area of the toy, if the total height of the toy is 30cm.

17. One card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing
a) An ace   b) A red king   c) Black face card.

18. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.

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