Mathematics

                 SAMPLE QUESTION PAPER                

 CLASS - X

CBSE BOARD EXAM 2018 


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CLASS X MATHEMATICS COURSE STRUCTURE FOR CBSE BOARD EXAM 2018 -- click here

S.S.T (SOCIAL SCIENCE) 087 CLASS X : QUESTION PAPER DESIGN, MARKING SCHEME WITH IMPORTANT QUESTIONS and  SOLUTION FOR CBSE BOARD EXAM 2018 (22-03-2018) -- click here

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CLASS X MATHEMATICS COURSE STRUCTURE FOR CBSE BOARD EXAM 2018 -- click here

Time allowed: 3 Hrs
Maximum Marks: 80

 General Instructions:

 (i) All questions are compulsory.

 (ii) The question paper consists of 30 questions divided into four sections A, B, C and D.

 (iii)Section A contains 6 questions of 1 mark each. Section B contains 6 questions of 2 marks each. Section C contains 10 questions of 3 marks each. Section D contains 8 questions of 4 marks each.

 (iv) There is no overall choice. However, an internal choice has been provided in four
questions of 3 marks each and three questions of 4 marks each. You have to attempt only
one of the alternatives in all such questions.
(v) Use of calculators is not permitted.

QUESTION PAPER DESIGN – Mathematics

SEE FULL POST of MATHEMATICS Course structure -----  CLICK HERE 

                              PRESCRIBED BOOKS                              

Mathematics - Textbook for class X - NCERT Publication
Mathematics exemplar problems for class X, NCERT publication.
Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication



Section A
Question numbers 1 to 6 carry 1 mark each.



  1.   Write whether the rational number 7/75 will have a terminating decimal expansion or a nor-terminating repeating decimal expansion.

  Ans.  Non terminating repeating decimal expansion.


  2.   Find the value(s) of k, if the quadratic equation 3x^2 - k 3 x+ 4= 0 has equal roots.

  Ans.  k = ±4


  3.   Find the eleventh term from the last term of the AP:

27, 23, 19, ..., –65.

  Ans.  a11 = –25



  4.   Find the coordinates of the point on y-axis which is nearest to the point (–2, 5).

  Ans.  (0, 5)


5. 

  

  Ans. 9 : 49


  6.   If  cos A = 2/5, find the value of 4 + 4 tan^2 A

  Ans.  25

Section B

Question numbers 7 to 12 carry 2 marks each.


  Ans.  

LCM (p, q) = a^3b^3

HCF (p, q) = a^2b 

LCM (p, q) × HCF (p, q) = a^5b^4 = (a^2b^3) (a^3 b) = pq





  Ans.  Sn = 2n^2 + 3n

S1 = 5 = a1

S2 = a1 + a2 = 14 ----- = a2 = 9

d = a2 – a1= 4

a16 = a1 + 15d = 5 + 15(4) = 65



Ans.  

10.   Ans.  




  11.   A box contains cards numbered 11 to 123. A card is drawn at random from the box.

Find the probability that the number on the drawn card is

(i) a square number

(ii) a multiple of 7 

  Ans. (i) P(square number) =8/113

(ii) P(multiple of 7) =16/113



  12.    A box contains 12 balls of which some are red in colour. If 6 more red balls are put in the box and a ball is drawn at random, the probability of drawing a red ball doubles than what it was before. Find the number of red balls in the bag.


Ans.  

Section C

Question numbers 13 to 22 carry 3 marks each.


 SOLUTIONS











Section D
Question numbers 23 to 30 carry 4 marks each.




SOLUTIONS

H



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