CBSE Class 10 Mathematics Sample Paper 2015 Set 03

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Access comprehensive sample question papers for Class 10 Mathematics using the CBSE Class 10 Mathematics Sample Paper 2015 Set 03. Designed to align with the 2026-27 CBSE academic guidelines, these model papers help students assess their exam readiness and understand current marking schemes.

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Navigate directly to the solved Mathematics model papers using the digital viewer below. Each practice set includes detailed solutions, allowing students to instantly cross-check their work and identify areas requiring further revision.

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) √112 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 πcm2

 (B) 18 πcm2 

(C) 12 πcm2

 (D) 9 πcm2

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

3x2 - 4√3 x+4 = 0

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

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

8. 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 chord of a circle of radius 12cm subtends an angle of 1200 at the centre. Find the area of the segment of the circle. (Use π = 3.14 and √3 = 1.73)
 
13. 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. 
 
14. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

 

Please click the link below to download full pdf file for CBSE Class 10 Mathematics Sample Paper 2015 Set C

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Exam Preparation Sample Paper for Class 10 Mathematics CBSE Class 10 Mathematics Sample Paper 2015 Set 03

Access Sample Papers for Class 10 Mathematics

Access structured sample papers for Class 10 Mathematics. Solving the CBSE Class 10 Mathematics Sample Paper 2015 Set 03 provided above helps students understand official exam blueprints and tackle anticipated question formats with confidence.

Why Practice Class 10 Mathematics Sample Papers?

  • Curriculum Insights: Clarify chapter-wise weightage rules and question trends across Class 10.
  • Gap Analysis: Check performance drops across sets to isolate specific Class 10 Mathematics topics needing extra attention.
  • Time Efficiency: Working through objective and descriptive problems builds critical pacing to finish exams comfortably.

Steps to Follow After Completing CBSE Class 10 Mathematics Sample Paper 2015 Set 03

  1. Verify Answers: Compare your responses against professional teacher solutions provided in the sample paper keys.
  2. Error Analysis: Class 10 learners must review incorrect answers carefully to understand underlying mistakes.
  3. Concept Reinforcement: Consult the official NCERT book for Class 10 Mathematics when stuck before re-attempting problems.

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Are solutions provided for CBSE Class 10 Mathematics Sample Paper 2015 Set 03?

Yes, CBSE Class 10 Mathematics Sample Paper 2015 Set 03 comes with detailed, teacher-verified solutions. We have provided step-by-step answers for Mathematics to help students of Class 10 understand correct methodology and marking scheme.

How can practicing CBSE Class 10 Mathematics Sample Paper 2015 Set 03 help in exam preparation?

Practicing this Mathematics paper helps in time management and identifying important topics. For Class 10, solving mock papers is the best way to gain confidence and reduce exam-day anxiety.

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Yes, all our study materials for Class 10 Mathematics are provided in a mobile-friendly PDF format. You can easily download CBSE Class 10 Mathematics Sample Paper 2015 Set 03 on your mobile device.