10th BOARD MATHS EXAMS PAPER 2020

SET 1:-

The question paper consists of 40 questions divided into 4 sections A, B, C, and D.

Section	Number of Questions	Marks per question
A: Objective Type Quetsions	20 (1-20)	1
B: Very Short Answer Type Questions	6 (21-26)	2
C: Short Answer Type Questions	8 (27-34)	3
D: Long Answer Type Questions	6 (35-40)	4

There is no overall choice. However, internal choices are provided in some questions as mentioned below:

Internal choices are provided for:

• 2 questions in Section-A
• 2 questions in Section-B
• 3 questions in Section-C
• 3 questions in Section-D

Check CBSE Class 10 Mathematics - Basic Sample Paper 2020:

SECTION A

Q 1- 10 are multiple choice questions. Select the most appropriate answer from the given options.

1. HCF of 168 and 126 is

(a) 21

(b) 42

(c) 14

(d) 18

2. Empirical relationship between the three measures of central tendency is 12

(a) 2 Mean = 3 Median – Mode

(b) 2 Mode = 3 Median – Mean

(c) Mode = 2 Mean – 3 Median

(d) 3 Median = 2Mode + Mean

3. In the given figure, if TP and TQ are tangents to a circle with centre O, so that ∠POQ = 110°, then ∠PTQ is

(a) 110°

(b) 90°

(c) 80°

(d) 70°

4. 325 can be expressed as a product of its primes as

(a) 5²×7

(b) 5²×13

(c) 5×13²

(d) 2×3²×5²

5. One card is drawn from a well shuffled deck of 52 cards. The probability that it is black queen is

(a) 1/26

(b) 1/13

(c) 1/52

(d) 2/13

6. The sum of the zeroes of the polynomial 2x² – 8x + 6 is

(a) –3

(b) 3

(c) –4

(d) 4

7. Which of the following is the decimal expansion of an irrational number

8. The following figure shows the graph of y = p(x), where p(x) is a polynomial in variable x. The number of zeroes of the polynomial p(x) is

(a) 1

(b) 2

(c) 3

(d) 4

9. The distance of the point P (3, –4) from the origin is

(a) 7 units

(b) 5 units

(c) 4 units

(d) 3 units

10. The mid-point of the line segment joining the points (–5, 7) and (–1, 3) is

(a) (–3, 7)

(b) (–3, 5)

(c) (–1, 5)

(d) (5, –3)

(11 – 15) Fill in the blanks:

11. The point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is _____________.

12. The pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is ______.

OR

If the quadratic equation x² – 2x + k = 0 has equal roots, then value of k is ______.

13. The value of sin60o cos30o + sin30o cos60o is______.

14. Value of cos0°. cos30° . cos45°. cos60°. cos 90° is ___________.

15. The sides of two similar triangles are in the ratio 2:3, then the areas of these triangles are in the ratio ______________.

(16 – 20) Answer the following :

16. △PQR is right angled isosceles triangle, right angled at R. Find value of sin P.

OR

If 15 cot A = 8, then find value of cosec A.

17. If area of quadrant of a circle is 38.5 cm2 then find its diameter (use π = 22/7 )

18. A dice is thrown once. Find the probability of getting a prime number.

19. In the given fig. If DE ‖ BC Find EC.

20. Find the common difference of the A.P whose first term is 12 and fifth term is 0.

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                                                  SET 2:-

The question paper consists of 40 questions divided into four sections, viz. A, B, C, and D.

Section	Number of Questions	Marks per question
A: Objective Type Quetsions	20 (1-20)	1
B: Very Short Answer Type Questions	6 (21-26)	2
C: Short Answer Type Questions	8 (27-34)	3
D: Long Answer Type Questions	6 (35-40)	4

Question paper carries a total of 80 marks.

There is no overall choice. However, internal choices are provided in some questions as mentioned below:

Internal choices were provided for:

• 2 questions from the set of 1 mark questions
• 2 questions from the set of 2 marks questions
• 3 questions from the set of 3 marks questions
• 3 questions from the set of 4 marks questions

CBSE Class 10 Mathematics-Basic Sample Question Paper 2020

Check CBSE Class 10 Sample Question Paper for Mathematics Standard Exam 2020:

SECTION A

Q 1- Q 10 are multiple choice questions. Select the most appropriate answer from the given options.

1. The decimal representation of 11/(2³×5) will

(a) terminate after 1 decimal place

(b) terminate after 2 decimal places

(c) terminate after 3 decimal places

(d) not terminate

2. Consider the following frequency distribution of the heights of 60 students of a class

Height (in cm)	150-155	155-160	160-165	165-170	170-175	175-180
No of students	15	13	10	8	9	5

The upper limit of the median class in the given data is

(a) 165

(b) 155

(c) 160

(d) 170

3. The LCM of smallest two digit composite number and smallest composite number is

(a) 12

(b) 4

(c) 20

(d) 44

4. For which value(s) of p, will the lines represented by the following pair of linear equations be parallel

(a) all real values except 10

(b) 10

(c) 5/2

(d) 1/2

5. If triangle ABC is right angled at C, then the value of sec (A+B) is 

6. If sinθ + cosθ = √2cosθ, (θ ≠ 90^o) then the value of tanθ is
a) √2 − 1
b) √2 + 1
c) √2
d) −√2

a) 0^o
b) 90^o
c) 60^o
d) 30^o

8. The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally lies in the
a) I quadrant
b) II quadrant
c) III quadrant
d) IV quadrant

9. The distance of the point P (−3, −4) from the x-axis (in units) is
a) 3
b) −3
c) 4
d) 5

10. If A( m/3, 5)is the mid-point of the line segment joining the points Q (– 6, 7) and R (– 2, 3), then the value of m is
a) −12
b) −4
c) 12
d) −6

(Q 11- Q 15) Fill in the blanks

11. The total surface area of the given solid figure is _______________.

 12. If one root of the equation (k – 1)x² – 10x + 3 = 0 is the reciprocal of the other, then the value of k is ___________

OR

The graph of y = p(x), (where p(x) is a polynomial in variable x, is as follows:

The number of zeroes of p(x) is ______________.

13. The perimeters of two similar triangles ∆ABC and ∆PQR are 35cm and 45cm respectively, then the ratio of the areas of the two triangles is______________.

14. Fill the two blanks in the sequence 2, ____ , 26, ____ so that the sequence forms an A.P.

15. A number is chosen at random from the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Then the probability that square of this number is less than or equal to 1 is _____________.

(Q 16- Q 20) Answer the following

16. Write one rational and one irrational number lying between 0.25 and 0.32.

17. In the figure, if ∠ACB = ∠CDA, AC = 6 cm and AD = 3 cm, then find the length of AB.

18. If the angle between two tangents drawn from an external point ‘P’ to a circle of radius ‘r’ and centre O is 600, then find the length of OP. 

OR

If the radii of two concentric circles are 4 cm and 5 cm, then find the length of each chord of one circle which is tangent to the other circle.

19. If the first three terms of an AP are b, c and 2b, then find the ratio of b and c.

20. Find the value(s) of k for which the quadratic equation x² + 2√2kx + 18 = 0 has equal roots

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SET 3:-

CBSE Class 10 Mathematics exam 2020: General instructions for candidates

• All questions are compulsory
• The question paper consists of 40 questions divided into four sections A, B, C and D
• Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each. Section C comprisesof8 questions of 3 markseach. Section D comprises 6 questions of 4 marks each
• There is no overall choice. However internal choices have been provided in two questions of 1 mark each, two questions of 2 marks each, three 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
• Use of calculators is not permitted.

Section A:

Q 1-10 are multiple choice questions. Select the most appropriate answer from the given options.

1. HCF of 168 and 126 is
21 (b) 42(c) 14(d) 18

2. Empirical relationship between the three measures of central tendency is

a) 2 Mean = 3 Median -Mod

Median -Mean

b) 2 Mode = 3

c) Mode = 2 Mean -3 Median
Mode + Mean

d) 3 Median = 2