CBSE Class 10 Mathematics Sample Paper 2015 Set 12

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Class 10 Mathematics Solved Model Papers: CBSE Class 10 Mathematics Sample Paper 2015 Set 12

Explore authentic exam practice materials through the CBSE Class 10 Mathematics Sample Paper 2015 Set 12. Tailored for Class 10 learners, utilizing these Mathematics sample papers ensures thorough preparation and strengthens time management skills before final CBSE evaluations.

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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. The sum of roots of the quadratic equation 2x2 + 13x + 11 = 0 is

(a) –13

(b)-13/2

(c) 11/2

(d) –11


2. n th term of the A.P. –5, –3, –1, ............. is

(a) 2n – 7

(b) 7 – 2n

(c) 2n + 7

(d) 2n + 1


3. In the given fig. P, Q and R are the points of contact. If AB = 6 cm,BP = 3 cm, then the perimeter of ΔABC is

CBSE Class 10 Mathematics Sample Paper 2013-14 SA 2 (3)

(a) 12 cm

(b) 18 cm

(c) 9 cm

(d) 15 cm


4. The tops of the two poles of height 8 m and 12 m are connected with wire. If wire makes an angle 30° with the horizontal, then the length of wire is–

(a) 10 m

(b) 12 m

(c) 8 m

(d) 4 m


5. The distance between the line y + 3 = 0 and 2y – 5 = 0 is–

(a) 8 unit

(b) 11/2 unit

(c) 6 unit

(d) 5 unit


6. The probability of a question calculated to be right is .x/12 If the probability of the question calculated not to be right is 2/3 then x = ........

(a) 2

(b) 3

(c) 4

(d) 6


7. If –9, –14, –19, ............... is an A.P. then the value of a30 – a20 is

(a) –50

(b) 50

(c) 10

(d) None of these


8. A right circular cylinder of height 45 cm and radius 4 cm is made by melting of spheres of radius 6 cm each. Find the number of spheres.

(a) 3

(b) 4

(c) 5

(d) 6


9. At any instant, the shadow of a pole is equal to its height, the angle of elevation of the sum is

(a) 30°

(b) 45°

(c) 60°

(d) 90°

 

10. The perimeter of triangle formed by the points (0, 0), (3, 0) and (0, 3) is 
(a) 6 unit 
(b) 9 unit 
(c) 2 (1 + √3 ) unit 
(d) 3 (2 + √2) unit

 

  
SECTION B

 

11. If the third term of an A.P. is 1 and 6th term is –11 then find its 15th term.

 

12. For what value of ‘m’ the roots of the quadratic equation : 4x2 + mx + 1 = 0 are real?

 

13. Two concentric circles are of radii 5 cm and 3 cm. Find the length of chord of the larger circle which touches the smaller circle.
                                    OR
In given Fig. find the radius of the circle.

CBSE Class 10 Mathematics Sample Paper 2013-14 SA 2 (3) 1

 

14. Three balls are made by melting a ball of radius 3 cm out of these three the radius of two balls are 1.5 cm and 2 cm respectively. Find the radiu of third ball.

 

15. The angle of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base and on the same straight line with it are complementary. Find the height of the tower.

 

16. Find a point on y-axis which is equidistant from the points (–2, 5) and (2, –3).

 

17. All kings, queens and jacks have been removed from a pack of cards and remaining cards are well shuffled. A card is drawn at random. Find the probability that it is–

 

(a) A face card. (b) A black card.


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Free study material for Mathematics

CBSE Class 10 Mathematics Sample Paper 2015 Set 12 & Sample Question Papers for Class 10 Mathematics

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Access structured sample papers for Class 10 Mathematics. Solving the CBSE Class 10 Mathematics Sample Paper 2015 Set 12 provided above helps students understand official exam blueprints and tackle anticipated question formats with confidence.

Key Advantages of Solving CBSE Class 10 Mathematics Sample Paper 2015 Set 12

  • 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.

How to Analyze Your Performance in CBSE Class 10 Mathematics Sample Paper 2015 Set 12

  1. Review Solutions: Evaluate your completed papers using expert-verified guidance inside our solution sets.
  2. Target Weaknesses: Class 10 students should analyze missed questions to rectify conceptual misunderstandings.
  3. Deep Revision: Re-read sections in the NCERT book for Class 10 Mathematics to clear doubts before solving items again.

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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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