# CBSE Class 10 Maths Answer Key 2023 with Question Paper PDF

CBSE Class 10 Maths Answer Key 2023: Check answers for all questions asked in the CBSE Class 10 Maths Standard Question Paper 2023. All questions have been solved by subject experts.

Get here CBSE Class 10 Maths (Standard) Paper Answer Key 2023

CBSE Class 10 Mathematics Question Paper and Answer Key: Key Highlights

 Board CBSE Subject Mathematics (Standard) Exam Date 21 March 2023 Marking Scheme Status Not Released Official Website cbse.gov.in

CBSE Class 10 Maths Answer Key & Marking Scheme 2023

The Central Board of Secondary Education (CBSE) will release question papers and answer keys (marking scheme) in the new academic session. Till then, you can check the CBSE Class 10 Maths answer key prepared by our subject experts. You can check the correct answers here in this article.

## CBSE Class 10Maths (Standard) Paper Answer Key 2023 (Set-3)

SECTION - A

1.The pair of linear equations 2x = 5y + 6 and 15y = 6x - 18 represents two lines which are
(a) intersecting
(b) parallel
(c) coincident
(d) either intersecting or parallel

2.In the given figure, TA is a tangent to the circle with centre O such that OT = 4 cm, ∠OTA = 30°, then length of TA is:

(a) 2√3 cm
(b) 2 cm
(c) 2√2 cm
(d) √3 cm

3.The ratio of HCF to LCM of the least composite number and the least prime number is:
(a) 1:2
(b) 2:1
(c) 1:1
(d) 1:3

4.If a pole 6 m high casts a shadow 2√3 m long on the ground, then sun's elevation is:
(a) 60°
(b) 45°
(c) 30°
(d) 90'

5. In the given figure, ΔABC~ΔQPR. If AC=6 cm, BC=5 cm, QR=3 cm and PR=x; then the value of x is:

(a) 3.6 cm

(b) 2.5 cm

(c) 10 cm

(d) 3.2 cm

6. The distance of the point (- 6, 8) from origin is :
(a) 6
(b) - 6
(c) 8
(d) 10

7. The next term of the A.P. : √7, √28, √63 is:
(a) √70
(b) √80
(c) √97
(d) √112

8. (sec2θ - 1) (cosec2θ  - 1) is equal to :
(a) - 1
(b) 1
(c) 0
(d) 2

9. Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is :
(a) 1/9
(b) 2/9
(c) 1/6
(d) 1/12

10. A card is drawn at random from a well-shuffled pack of 52 cards. The probability that the card drawn is not an ace is :
(a) 1/13
(b) 9/13
(c) 4/13
(d) 12/13

11. The roots of the equation x2 + 3x - 10 = 0 are:

(a) 2,-5

(b) -2,5

(c) 2,5

(d)-2,-5

12. If ⍺, β are zeroes of the polynomial x2 - 1 then value of (⍺ + β) is:

(a) 2

(b) 1

(c) -1

(d) 0

13. If ⍺, β are the zeroes of the polynomial p(x) = 4x² - 3x-7, then (1/⍺+ 1/β) is equal to :

(a)7/3

(6) -7/3

(c) 3/7

(d)-3/7

14. What is the area of a semi-circle of diameter 'd'?

(a) 1/16𝝅d2

(b) 1/4𝝅d2

(c) 1/8𝝅d2

(d) 1/2𝝅d2

15. For the following distribution:

 Marks Below 10 20 30 40 50 60 Number of Students 3 12 27 57 75 80

The modal class is:

(a) 10-20

(b) 20-30

(c) 30-40

(d) 50-60

16.

In the given figure, PT is a tangent at T to the circle with centre O. If TPO=25°, then x is equal to:

(a) 25°

(b) 65°

(c) 90°

(d) 115°

17.

In the given figure, PQ||AC. If BP=4 cm, AP=2.4 cm and BQ=5 cm, then length of BC is:

(a) 8 cm

(b) 3 cm

(c) 0.3 cm

(d) 25/3 cm

18. The points (-4, 0), (4, 0) and (0, 3) are the vertices of a:

(a) right triangle

(c) equilateral triangle

(b) isosceles triangle

(d) scalene triangle

DIRECTIONS: In the question number 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option out of the following:

19. Assertion (A): The probability that a leap year has 53 Sundays is 2/7.

Reason (R): The probability that a non-leap year has 53 Sundays is 5/7.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).

(c) Assertion (A) is true but Reason (R) is false.

(d) Assertion (A) is false but Reason (R) is true.

Answer: (c) Assertion (A) is true but Reason (R) is false.

20. Assertion (A): a, b, c are in A.P. if and only if 2b=a+c.

Reason (R): The sum of first n odd natural numbers is n2

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).

(c) Assertion (A) is true but Reason (R) is false.

(d) Assertion (A) is false but Reason (R) is true.

Answer: (b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).

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## FAQ

### Is 90% marks good in class 10?

Yes 90% marks or more will be good in class 10th if you want to choose a stream of your choice for the higher secondary classes.

### Will CBSE release Class 10 Maths Answer Key 2023?

The Central Board of Secondary Education (CBSE) will release the official CBSE Class 10 Maths Answer Key 2023 soon after conducting the CBSE Board Exam 2023. Till then, you can check the answer key of the CBSE Class 10 Maths Paper 2023 at Jagran Josh.

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