Mathematics
SAMPLE QUESTION PAPER
CLASS - X
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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.
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
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)
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


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.
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