CBSE Class 10 Mathematics Sample Paper 2014 Set 10

Mathematics
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Read and download the CBSE Class 10 Mathematics Sample Paper 2014 Set 10, designed by expert teachers according to the latest 2026-27 curriculum and examination pattern issued by CBSE, NCERT, and KVS. These Class 10 Mathematics sample papers include detailed step-by-step solutions, helping students to practice and evaluate their performance against the most recent marking schemes.

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Check out our Class 10 Mathematics model papers to get familiar with expected questions and chapter weightage. Practicing these guess papers regularly improves your speed and fixes weak concepts. You can also explore our historical Class 10 Mathematics Question Papers to boost your confidence further.

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1] The 9th term of an AP is 449 and 449th term is 9. The term which is equal to zero is

A.459th

B. 502th

C. 501th

D. 458th


2] Two circles touch each other externally at C and AB is a common tangent to the circles. Then, <ACB= 

A. 30°

B. 45°

C. 60°

D. 90°


3] An observer 1.5 m tall is 28.5 m away from a tower. The angle of elevation of the top of the tower from his eyes is 45°.The height of the tower is

A. 40 m

B. 20 m

C. 10 m

D. 30 m


4] The value of x, for which the points (x,-1), (2,1) and (4,5) Lie on a line is

A. 3

B. 2

C. 0

D. 1


5] A pendulum swings through an angle of 300 and describes An arc 8.8cm in length. The length of the pendulum is

A. 17 cm

B. 15.8 cm

C. 8.8 cm

D. 16.8 cm

6] If the centroid of the triangle formed by points P(a, b),Q(b, c)and R(c, a) is at the origin, then find the value of a + b +c.

OR

Find the area of the quadrilateral ABCD whose vertices are

A(1,1), B(7,-3), C(12,2) and D(7,21) respectively.


7] An A.P. consists of 60 terms. If the first and the last term be 7 and 125 respectively, find the 32nd term.


8] Find two consecutive positive integers, sum of whose squares is 25.

 

9] Prove that the tangents at the extremities of any chord make equal angles with the chord.

 

10] The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm, find the area of the sector.

 

11] If a b c, prove that the points (a,a2), (b,b2) and (c,c2) can never be collinear.

 

12] A body falls 8 metres in the first second of its motion, 24 metres in the second, 40 metres in the third second and so on. How long will it take to fall 2048 metres?

 

13] Draw a pair of tangents to a circle of any convenient radius, which are inclined to the line joining the centre of the circle and the point at which they intersect at an angle of 45°. Also write the steps of construction.

 

14] From a balloon vertically above a straight road, the angles of depression of two cars at an instant are found to be 450 and 600. If the cars are 100m apart, find the height of the balloon.

 

OR

 

The angles of elevation of the top of a tower from two points at a distance a and b metres from the base and in the same straight line with it are complementary. Prove that the height of the tower is metres.

 

15] A bag contains 12 balls out of which x are white.

 

(i) If one ball is drawn at random, what is the probability that it will be a white ball?

 

(ii) If 6 more white balls are put in the bag, then the probability of drawing a white ball will be double than that in (i). Find x.

 

OR

 

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any day of the week. What is the probability that both will visit the shop on

 

(i) the same day?

 

(ii) two different days?

 

(iii) consecutive days?



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Obtain the CBSE Class 10 Mathematics Sample Paper 2014 Set 10 directly from our site to boost your exam readiness. Learning the precise blueprint behind question creation is essential for Class 10 learners aiming for high grades. Working through these latest Mathematics model sets exposes you to likely exam questions. Utilize the PDF format download for offline study, simulating real exam constraints at home.

Benefits of Practicing Class 10 Mathematics Sample Papers

  • Updated Question Pool: Features brand new questions for Mathematics distinct from past year archives.
  • Curriculum Insights: Regular practice clarifies chapter-wise marks distribution and formatting styles for Class 10.
  • Targeted Improvement: Track performance drops across sets to isolate specific Class 10 Mathematics topics needing extra attention.
  • Time Efficiency: Practicing both MCQs and subjective problems for Class 10 Mathematics builds critical pacing to finish papers timely.

Post-Practice Strategy for Class 10 Mathematics

  1. Solution Matching: Cross-check your steps with expert answers published in our Mathematics Sample Paper PDF.
  2. Mistake Correction: Class 10 participants need to isolate error patterns to prevent repeating them in future tests.
  3. Deep Revision: Re-read sections in the NCERT book for Class 10 Mathematics to clear doubts before solving items again.
  4. Extended Preparation: Practice diverse sets of Mathematics sample materials online to face CBSE exams fearlessly.

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Are solutions provided for CBSE Class 10 Mathematics Sample Paper 2014 Set 10?

Yes, CBSE Class 10 Mathematics Sample Paper 2014 Set 10 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 2014 Set 10 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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