CBSE Academic Class X Mathematics (Standard) Sample Question Paper 2021-22

Name of the Board : Central Board of Secondary Education (CBSE)
Class : X STD
Document Type : Sample Question Paper
Subject : Mathematics (Standard)
Term : 1 and 2
Year : 2021-22
Website : https://cbseacademic.nic.in/SQP_CLASSX_2021-22.html

CBSE X Mathematics (Standard) Question Paper

CBSE Students can download the Mathematics (Standard) Sample Question Paper Term 1 and 2 for the year 2021-22 from the website of CBSE Academic.

Related / Similar Question Paper : CBSE Academic Class X Mathematics (Basic) Sample Question Paper 2021-22

Sample Question Paper For CBSE X Mathematics (Standard)

Section – A
Section A consists of 20 questions of 1 mark each. Any 16 questions are to be attempted
Q No Marks
1. The ratio of LCM and HCF of the least composite and the least prime numbers is
(a) 1:2
(b) 2:1
(c) 1:1
(d) 1:3

2. The value of k for which the lines 5x+7y=3 and 15x + 21y = k coincide is
(a) 9
(b) 5
(c) 7
(d) 18

3 .A girl walks 200m towards East and then 150m towards North. The distance of the girl from the starting point is
(a)350m
(b) 250m
(c) 300m
(d) 225

4. The lengths of the diagonals of a rhombus are 24cm and 32cm, then the length of the altitude of the rhombus is
(a) 12cm
(b) 12.8cm
(c) 19 cm`
(d) 19.2cm

5. Two fair coins are tossed. What is the probability of getting at the most one head?
(a) ¾
(b) ¼
(c) ½
(d) 3/8

6 .∆ABC~∆PQR. If AM and PN are altitudes of ∆ABC and ∆PQR respectively and AB2 :PQ2 = 4 : 9, then AM:PN =
(a) 16:81
(b) 4:9
(c) 3:2
(d) 2:3

7. If 2sin2β – cos2β = 2, then β is
(a) 0ᵒ
(b) 90ᵒ
(c) 45ᵒ
(d) 30ᵒ

8 .Prime factors of the denominator of a rational number with the decimal expansion 44.123 are
(a) 2,3
(b) 2,3,5
(c) 2,5
(d) 3,5

9 .The lines x = a and y = b, are
(a) intersecting
(b) parallel
(c) overlapping
(d) (None of these)

10. The distance of point A(-5, 6) from the origin is
(a) 11 units
(b) 61 units
(c) √11 units
(d) √61 units

11. If a² = 23/25, then a is
(a) rational
(b) irrational
(c) whole number
(d) integer

12. If LCM(x, 18) =36 and HCF(x, 18) =2, then x is
(a) 2
(b) 3
(c) 4
(d) 5

13. In ∆ABC right angled at B, if tan A= √3, then cos A cos C- sin A sin C =
(a) -1
(b) 0
(c) 1
(d) √3/2

14. If the angles of ∆ABC are in ratio 1:1:2, respectively (the largest angle being angle C), then the value of sec A cosec B – tan A cot B is
(a) 0
(b) 1/2
(c) 1
(d) √3/2

15. The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is
(a) 22
(b) 24
(c) 75
(d) 40

16. ∆ABC is such that AB=3 cm, BC= 2cm, CA= 2.5 cm. If ∆ABC ~ ∆DEF and EF = 4cm, then perimeter of ∆DEF is
(a) 7.5 cm
(b) 15 cm
(c) 22.5 cm
(d) 30 cm

17. In the figure, if DE∥ BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE equals
(a) 7cm
(b) 6cm
(c) 4cm
(d) 3cm

18. If 4 tanβ = 3, then 4 𝑠𝑖𝑛𝛽−3 cos 𝛽 4 sin 𝛽+3 cos 𝛽 =
(a) 0
(b) 1/3
(c) 2/3
(d) ¾

19. One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be
a) 10x+14y +4 = 0
b) –10x –14y+ 4 = 0
c) –10x+14y + 4 = 0
(d) 10x – 14y = –4

20. A letter of English alphabets is chosen at random. What is the probability that it is a letter of the word ‘MATHEMATICS’?
(a) 4/13
(b) 9/26
(c) 5/13
(d) 11/26

SECTION B
Section B consists of 20 questions of 1 mark each. Any 16 questions are to be attempted QN MARKS
21. If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are
(a) 2
(b) 3
(c) 4
(d) 5

22. Given below is the graph representing two linear equations by lines AB and CD respectively. What is the area of the triangle formed by these two lines and the line x=0?
(a) 3sq. units
(b) 4sq. units
(c) 6sq. units
(d) 8sq. units

23. If tan α + cot α = 2, then tan20α + cot20α =
(a) 0
(b) 2
(c) 20
(d) 220

24. If 217x + 131y = 913, 131x + 217y = 827, then x + y is
(a) 5
(b) 6
(c) 7
(d) 8

25. The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q.
(a) 4
(b) 28
(c) 38
(d) 48

26. A card is drawn from a well shuffled deck of cards. What is the probability that thecard drawn is neither a king nor a queen?
(a) 11/13
(b) 12/13
(c) 11/26
(d) 11/52

27. Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is
(a) 5/36
(b) 11/36
(c) 12/36
(d) 23/36

28. If 1+ sin2α = 3 sinα cosα, then values of cot α are
(a) -1, 1
(b) 0,1
(c)1, 2
(d) -1,-1

29. The vertices of a parallelogram in order are A(1,2), B(4, y), C(x, 6) and D(3,5). Then (x, y) is
(a) (6, 3)
(b) (3, 6)
(c) (5, 6)
(d) (1, 4)

30. In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is
(a) 22/3 cm
(b) 26/3 cm
(c) 55/3 cm
(d) 64/3 cm

Download CBSE X Mathematics (Standard) Question Paper

Download CBSE X Mathematics (Standard) Term 1 Question Paper Here :
https://www.pdfquestion.in/uploads/pdf2022/40351-Term1.pdf

Download CBSE X Mathematics (Standard) Term 2 Question Paper Here :
https://www.pdfquestion.in/uploads/pdf2022/40351-Term2.pdf