CBSE Class 10 Mathematics Sample Paper 2013 Set 14

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Class 10 Mathematics Solved Model Papers: CBSE Class 10 Mathematics Sample Paper 2013 Set 14

Review targeted exam resources with the CBSE Class 10 Mathematics Sample Paper 2013 Set 14. Built according to official CBSE standards for the 2026-27 academic year, these downloadable Class 10 Mathematics sample papers support effective revision and performance tracking.

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View or download the dedicated CBSE Class 10 Mathematics Sample Paper 2013 Set 14 resource below. Engaging with these sample papers under timed conditions ensures continuous academic progress and mastery of the 2026-27 exam format.

Q1. If the area of a circle is 301.84 cm2, then its circumference is 

(a) 4.6cm

(b) 9.8cm

(c) 61.6cm

(d) 59.4cm 


Q2. A letter is chosen at random from the word “PROBABILITY”. The probability that it is a vowel is 

(a) 1/11

(b) 2/11

(c) 3/11

(d) 4/11 


Q3. If the length of a shadow cast by a pole is 3 times the length of the pole, then the angle of elevation of the sun is 

(a) 45°

(b) 30°

 (c) 60° 

(d) 90° 


Q4. The mid-point of the line segment joining P(-2,8) and Q(-6,-4) is 

(a) (-4,2)

(b) (4,2)

(c) (4,-2)

(d) (-4,-2) 


Q5. In given figure, the length of BC is 

CBSE Class 10 Mathematics Sample Paper 2013 Set N

(a) 4 units

(b) 6 units

(c) 8 units

(d) 10 units 


Q6. A spherical steel ball is melted to make 8 new identical balls. Then the radius of each new ball is how much times the radius of the original ball? 

(a) 1/2

(b) 1/3

(c) 1/4

(d) 1/8 


Q7. If 1/2 is a root of the equation x2+kx -5/4 =0, then the other root of the quadratic equation is 

(a)- 5/2

(b) -2

(c) 1/4

(d) 1/2 


Q8. If the sum of n terms of an AP is 3n2+n and its common difference is 6, then its first term is 

(a) 2

(b) 3

(c) 1

(d) 4 


Q9. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6)is 

(a) 5x-4y+1=0

(b) 5x+4y+1=0

(c) -5x+4y+1=0

(d) -5x-4y+1=0 


Q10. A largest sphere is carved out of a cube of side 7cm. The volume of the sphere is 

(a) 179.67 cu.cm

(b) 180.5 cu.cm

(c) 182 cu.cm

(d) 176.42 cu.cm

 

SECTION B

 

Q11. Find the roots of the equation 6x2 - √2x – 2 = 0 by the factorization of the corresponding quadratic polynomial. 
 
Q12. AB is the chord of circle with centre O, BC is the tangent at B as shown in the given figure. Show that<PBC= <BAP. 
 
Q13. What is the probability that a number selected from the numbers 1,2,3,….,25 is a prime number, when each of the given numbers is equally likely to be selected? OR, 
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.

Q14. Find the sum of the first 20 terms of the AP: -6, 0 ,6 ,12,…….. 

 
Q15. If a,b,c are the lengths of the sides of a right triangle, where c is the hypotenuse, then  prove that the radius, r, of the circle which touches the sides of the triangle is given by r = (a + b – c ) /2 
 
Q16. Find the area of triangle whose vertices are (2,3),(-1,0) and (2,-4). 
 
Q17. A wheel has diameter


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Free study material for Mathematics

CBSE Class 10 Mathematics Sample Paper 2013 Set 14 & Sample Question Papers for Class 10 Mathematics

Get Started with CBSE Class 10 Mathematics Sample Paper 2013 Set 14 (CBSE)

Review model practice papers for Class 10 Mathematics. Working through the CBSE Class 10 Mathematics Sample Paper 2013 Set 14 under simulated test conditions at home ensures complete familiarity with upcoming school evaluations.

Maximize Your Scores with Model Papers

  • Exam Blueprint: Understand mark allocations and structural guidelines relevant to Class 10 evaluations.
  • Targeted Improvement: Identify weak areas in Class 10 Mathematics requiring focused revision.
  • Pacing & Precision: Practice mixed question formats to build execution speed and ensure timely paper completion.

Steps to Follow After Completing CBSE Class 10 Mathematics Sample Paper 2013 Set 14

  1. Self-Evaluation: Score your answers using official guidance to track your academic progress.
  2. Mistake Correction: Class 10 pupils must re-solve questions answered incorrectly to master the correct method.
  3. Continuous Practice: Take additional Mathematics sample modules online to maximize preparedness for CBSE evaluations.

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Are solutions provided for CBSE Class 10 Mathematics Sample Paper 2013 Set 14?

Yes, CBSE Class 10 Mathematics Sample Paper 2013 Set 14 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 2013 Set 14 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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