# CBSE Class 10 Mathematics Sample Paper Set V

Read and download PDF of CBSE Class 10 Mathematics Sample Paper Set V 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 V

### Mathematics Class 10 Sample Paper

1. Values of k for which the quadratic equation 2x2-kx+k = 0 has equal roots is:

(A) 0 only

(B) 4

(C) 8 only

(D) 0, 8

2. A tangent PQ at a point of P of a circle of radius 5cm meets a line through the center O at a point Q, such that OQ = 12cm. Length of PQ is:

(A) 12cm

(B) 13cm

(C) 8.5cm

(D) √119 cm

3. The distance of the point P(2, 3) from the x-axis is:

(A) 2units

(B) 3units

(C) 1unit

(D) 5units

4. The area of the circle that can be inscribed in a square of side 6cm is:

(A) 36 cm2

(B) 18 cm2

(C) 12 cm2

(D) 9 cm2

5. Find the nature of the roots of the quadratic equation:

3x2 - 4√3 x+4 = 0

For what value of k are 2k, k+10 and 3k+2 in AP?

Prove that tangents drawn at the ends of a diameter of a circle are parallel.

Prove that the parallelogram circumscribing a circle is a rhombus.

9  12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot.Determine the probability that the pen taken out is a good one.

10 In an A.P., first term is 5, common difference is 3 and nth term is 50. Find the value of n and sum of its first n terms.

11 A contractor plans to install two slides for the children to play in a park. For the children below the age of 5years, she prefers to have a slide whose top is at a height of 1.5m, and is inclined at an angle of 300 to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m and inclined at an angle of 600 to the ground. What should be the length of the slide in each case?

12 A circus tent is cylindrical upto a height of 3m and conical above it. If the diameter of the base is 105m and the slant height of the conical part is 53m, find the area of canvas used in making the tent.

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