CBSE Class 10 Mathematics Sample Paper Set H

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

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