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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
Correct Answer: (c) coincident
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
Correct Answer: (a) 2√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
Correct Answer: (b) 2:1
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′
Answer: (a) 60°
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
Correct Answer: (a) 3.6 cm
Q6. The distance of the point (- 6, 8) from the origin is:
(a) 6
(b) – 6
(c) 8
(d) 10
Correct Answer: (d) 10
Q7. The next term of the A.P. : √7, √28, √63 is:
(a) √70
(b) √80
(c) √97
(d) √112
Correct Answer: (d) √112
Q8. (sec^{2}θ – 1) (cosec^{2}θ – 1) is equal to:
(a) – 1
(b) 1
(c) 0
(d) 2
Correct Answer: (b)
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
Correct Answer: (c) 1/6
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
Correct Answer: (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
Correct Answer: (a) 2,-5
Q12. If ⍺, β are zeroes of the polynomial x^{2} – 1 then value of (⍺ + β) is:
(a) 2
(b) 1
(c) -1
(d) 0
Correct Answer: (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
Correct Answer: (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
Correct Answer: (c) 1/8𝝅d^{2}
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
Correct Answer: (c) 30-40
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°
Correct Answer: (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
Correct Answer: (b) isosceles 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 n^{2}.
(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
Correct answer: (b) infinite
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
Correct Answer: (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
Correct Answer: (b) 3
Q4. In the given figure, DE || BC. The value of x is
(a) 6
(b) 12.5
(c) 8
(d) 10
Correct Answer: (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
Correct Answer: (c) 8000 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
Correct Answer; (b) 21
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-
- Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.
- Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each.
- Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each.
- Section D has 4 Long Answer (LA) type questions carrying 5 marks each.
- 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-
- Section A has 20 MCQs carrying 1 mark each
- Section B has 5 questions carrying 02 marks each.
- Section C has 6 questions carrying 03 marks each.
- Section D has 4 questions carrying 05 marks each.
- 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.