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# CBSE Class 10 Maths Paper Answer Key 2023, All Sets Question Paper Solutions

## CBSE Class 10 Maths Paper Answer Key 2023

CBSE Class 10 Maths Paper Answer Key 2023: CBSE has conducted Class 10th Maths Exam today on 21st March 2023 and after appearing in the exam, the students must be anxious to check the class 10 Maths Answer Key 2023 to crosscheck the answers they have attempted. In this article, we will be discussing the correct answers as solved by our esteemed faculty. The students should scroll down the page to check the detailed Class 10 Maths Answer Key 2023 and connect with us to get correct responses for the questions asked in the Class 10 Maths Exam. We have provided authentic and explained answers to each question asked in the Basic & Standard Mathematics Examination.

## Class 10 Maths Answer Key 2023

CBSE Class 10 Maths Paper Answer Key 2023 for both Basic & Standard Mathematics Examination has been discussed in this article after the conduction of Maths Exam on 21st March 2023.

 CBSE Class 10 Maths Paper Answer Key 2023 Exam Conducting Body Central Board of Secondary Education Exam Name CBSE Class 10 Maths (Basic & Standard) Category Answer Key Exam Date 21st March 2023 Unofficial Answer Key 21st March 2023 Official Website https://www.cbse.nic.in/

## Class 10 Maths Answer Key 2023 & Solution

Here, we have provided the complete Class 10 Maths Answer Key 2023 with correct answers one by one. So if are looking for the complete CBSE Class 10 Maths Answer Key go through the solutions that are discussed by our faculty in their live session. Connect with them and know the correct answers to the questions asked in today’s exam.

Q1. 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

Q2. 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

Q3. 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

Q4. 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′

Q5. 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

Q6. The distance of the point (- 6, 8) from the origin is:

(a) 6
(b) – 6
(c) 8
(d) 10

Q7. The next term of the A.P. : √7, √28, √63 is:

(a) √70
(b) √80
(c) √97
(d) √112

Q8. (sec2θ – 1) (cosec2θ  – 1) is equal to:

(a) – 1
(b) 1
(c) 0
(d) 2

Q9. 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

Q10. 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

Q11. The roots of the equation x2 + 3x – 10 = 0 are:

(a) 2,-5
(b) -2,5
(c) 2,5
(d)-2,-5

Q12. If ⍺, β are zeroes of the polynomial x2 – 1 then value of (⍺ + β) is:

(a) 2
(b) 1
(c) -1
(d) 0

Q13. If ⍺, β are the zeroes of the polynomial p(x) = 4x² – 3x-7, then (1/⍺+ 1/β) is equal to :

(a)7/3
(b) -7/3
(c) 3/7
(d)-3/7

Q14. What is the area of a semi-circle of diameter ‘d’?

(a) 1/16𝝅d²
(b) 1/4𝝅d²
(c) 1/8𝝅d²
(d) 1/2𝝅d²

Q 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

Q16. 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°

Q18. The points (-4, 0), (4, 0) and (0, 3) are the vertices of a:

(a) right triangle
(b) isosceles triangle
(c) equilateral 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:

Q19. 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.

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

Q20. 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.

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

### CBSE Class 10 Maths Answer Key 2023 Set 1 (Code-30/5/1)

Q1. The number of polynomials having zeroes-3 and 5 is:

(a) only one
(b) infinite
(c) exactly two
(d) at most two

Q2. The pair of equations ax + 2y = 9 and 3x+ by = 18 represent parallel lines, where a, b are integers, if:

(a) a= b
(b) 3a=2b
(c) 2a=3b
(d) ab=6

Q3. The common difference of the A.P. whose nth term is given by a 3n+7,

(a) 7
(b) 3
(c) 3n
(d) 1

Q4. In the given figure, DE || BC. The value of x is

(a) 6
(b) 12.5
(c)  8
(d) 10

Q5. A quadratic equation whose roots are (9 + sqrt(3)) and (2 – sqrt(3)) * i * 2

(a) x ²  – 4x + 1 = 0
(b)x ² + 4x + 1 = 0
(c) 4x ² – 3 = 0
(d)x ² – 1 = 0

Correct Answer: (a) x ²  – 4x + 1 = 0

Q9. Water in a river which is 3 m deep and 40 m wide is flowing at the rate of 2 km/h. How much water will fall into the sea in 2 minutes?

(a) 800 m³
(b) 4000 m³
(c) 8000 m³
(d) 2000 m³

Q10. If the mean and the median of a data are 12 and 15 respectively, then its mode is:

(a) 13.5
(b) 21
(c) 6
(d) 14

Maths Class 10 Question Paper 2023 (30/2/3)

Maths Class 10 Question Paper 2023 (30/1/1)

Maths Class 10 Question Paper 2023 (30/5/2)

## Class 10 Maths Answer Key & Question Paper 2023

The students who appeared in the Maths Class 10 Exam, can cross-check their Answer Key for the Class 10 Maths Paper which has been provided here by our expert faculty. Stay tuned with us to get the correct responses to all the questions asked in today’s exam through this article.

## CBSE Class 10 Maths Answer Key 2023 Question Paper

The Class 10 Mathematics Exam 2023 is conducted today on 21st March 2023 and lakhs of students across the country are going to appear in this exam. The CBSE 10th Maths Exam has been commenced for 3 hour duration. The exam was conducted in pen and paper mode. As per CBSE Class 10 Maths Syllabus, the scheme for this year board exam was as follows-

For Basic Maths Syllabus-

1. Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.
2. Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each.
3. Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each.
4. Section D has 4 Long Answer (LA) type questions carrying 5 marks each.
5. Section E has 3 Case Based integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively.

For Standard Maths Syllabus-

1. Section A has 20 MCQs carrying 1 mark each
2. Section B has 5 questions carrying 02 marks each.
3. Section C has 6 questions carrying 03 marks each.
4. Section D has 4 questions carrying 05 marks each.
5. Section E has 3 case based integrated units of assessment (04 marks each) with subparts of the values of 1, 1 and 2 marks each respectively.

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## FAQs

### Q1. How to check CBSE Class 10 Maths Paper Answer Key 2023?

Ans. You can check unofficial CBSE Class 10 Maths Paper Answer Key 2023 from the article above.

### Q2. What is evaluation criteria for Class 10 Maths 2023?

Ans. The section-wise marking scheme is different which has been discussed in the article in detail.

### Q3. Will any mark be deducted for wrong answer in Class 10 Maths Exam?

Ans. No, there is no negative marking in Class 10 Maths Board Exam.