CBSE 10th Mathematics Question Paper 2023 with Solutions are given on this page. Students can check the solutions of the CBSE Class 10 Mathematics Question Paper 2023 set 2 and download CBSE 10th Maths solutions 2023 PDF.
CBSE Class 10 Maths Solutions 2023: We have provided the CBSE 10th Maths solutions 2023 on this page. Students can check the answers of CBSE Class 10 Maths question paper 2023. They can use our CBSE class 10 Maths solutions 2023 to check whether their answers are correct. CBSE 10th Mathematics Question Paper 2023 with Solutions - Set 2 is provided on this page. They should note that this is not the official CBSE answer key. We will update the page with more solutions. CBSE Class 10 Mathematics exam 2023 was held on March 21, 2023. Check the CBSE Maths Question paper answer key 2023.
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Q: Where can I get CBSE 10th question papers of previous years?
CBSE released the CBSE Class 10 previous question papers for the all sujects on the official website. Students can download them by clicking on the links on this page and start preparing for their upcoming exams. CBSE 10th board xams 2025 will likely be conducted between February 15 and March 13, 2025.
The Board released the CBSE 10th sample papers 2025 of some of the subjects. The sample papers also share the latest marking sheme. These sample papers make students familiar with the difficulty level of the exam, the types of questions that will be asked and more.
Q: Where can I get CBSE Class 10 sample papers 2025?
CBSE released the CBSE sample question papers 2025. You can check and download subject-wise CBSE 10th sample papers 2025 by clicking on the page below. The CBSE sample papers 2025 class 10 makes students familiar with the exam pattern, marking scheme and more.
Students must practice the CBSE 10th sample papers and previous years question papers for better preparation of the examinations.
Q: Should I download and practice CBSE Class 10 previous years' question papers? How will they help me?
CBSE 10th Mathematics Question Paper 2023 with Solutions - Set 2
| CBSE Question Paper | Solutions Download Link |
|---|---|
| CBSE Class 10 Maths Question Paper 2023 - Set 2 | Click here |
Section A
Question 1: In what ratio, does the x-axis divide the line segment joining the points A(3, 6) and B(-12, -3)?
(A) 1:2
(B) 1:4
(C) 4:1
(D) 2:1
Solution:
Question 2: In the given figure, PQ is a tangent to the circle centred at O. If ∠AOB = 950, then the measure of ∠ABQ will be
Solution:
We know the tangent at any point of a circle is perpendicular to the radius through the point of contact.
∠OBQ = 900
OA = OB (Radius of circle)
So ∠OAB = ∠OBA
Question 3: If 2 tan A = 3, then the value of (4 sin A plus 3 cos A)/(4 sin A - 3 cos A) is
(A) 7/√13
(B) 1/√13
(C) 3
(D) does not exist
Solution:
Question 4. In a group of 20 people, 5 can't swim. If one person is selected at random, then the probability that he/she can swim, is
(A) 3/4
(B) 1/3
(C) 1
(D) 1/4
Solution:
Total number of people = 20
No. of people who can swim = 15
Required probability = 15/20 = 3/4
Hence option A is the answer.
Question 5. The distribution below gives the marks obtained by 80 students on a test.
| Marks |
Less than 10 |
Less than 20 |
Less than 30 |
Less than 40 |
Less than 50 |
Less than 60 |
| No. of students |
3 |
12 |
27 |
57 |
75 |
80 |
The modal class of this distribution is
(A) 10-20
(B) 20-30
(C) 30-40
(D) 50-60
Solution:
In a frequency distribution, the class that consists of the highest frequency is known as the modal class.
| Marks |
Frequency |
| 0-10 |
3 |
| 10-20 |
12-3 = 9 |
| 20-30 |
27-12 = 15 |
| 30-40 |
57-27 = 30 |
| 40-50 |
75-57 = 18 |
| 50-60 |
80-75 = 5 |
Modal class is 30-40.
Q: Is solving CBSE 10th sample papers enough for boards?
CBSE Class 10 sample papers will make you familiar with the exam pattern, marking scheme, the types of questions asked in the exam, difficulty level and more. All in all, solving sample question papers is a great way to prepare for your exam. They are a way to revise a vast syllabus in a short time. This is the best way!
Q: Is CBSE 10th sample paper easier than board paper?
You can treat the CBSE sample paper as a mock test and time yourself while answering it. This will make you familiar with the exam pattern and marking scheme, after which you will eventually find the CBSE board paper easy.
You can download the CBSE 10th sample papers and question papers by clicking on the link below:
Q: When will CBSE release the CBSE 10th sample papers 2025? Where can I download them?
CBSE released the CBSE Class 10 sample papers 2025 on the official website - cbseacademic.nic.in. Students must download and practice them for better preparation of the exam. The sample papers makes students familiar with the exam pattern, marking scheme etc. Students are advised to solve the sample papers within the stipulated time to learn the time management skills. Once released, students can download the CBSE 10th subject-wise sample papers 2025 by clicking on the link provided.
Q: Will the questions be of similar nature as in sample question papers in the CBSE 10th board exams 2025?
Yes, questions are of the same pattern as given in the sample papers. Students must also solve and practice the practice questions and previous years question papers as released by the board.
Q: Has CBSE board released any sample papers for the academic year 2025?
Yes, CBSE released the subject-wise sample papers for CBSE 10th 2025 board exams on the official website. Students can check and download the same here.
It is advised that students practice the CBSE Class 10 question papers 2025 for better preperation of the examinations. They make one familiar with the exam pattern, marking scheme, different types of questions asked in the exam and more.
Hence option C is the answer.
Question 6. The curved surface area of a cone having height 24 cm and radius 7 cm, is
(A) 528 cm2
(B) 1056 cm2
(C) 550 cm2
(D) 500 cm2
Solution:
Given that height of cone = 24 cm
Radius = 7 cm
Slant height, l = √625 (find slant height using h and r, root of sum of square of h and r)
= 25
CSA = πrl
= (22/7)×7×25
= 550 cm2
Hence option C is the answer.
Question 7. The end-points of a diameter of a circle are (2, 4) and (-3, -1). The radius of the circle is
(A) 2√5
(B) (5/2)√5
(C) (5/2)√2
(D) 5√2
Solution:
The length of the diameter can be found by using the distance formula.
Distance between (2, 4) and (-3, -1) = √50
= 5√2
Radius = diameter/2
= (5/2)√2
Hence option C is the answer.
Question 8. Which of the following is a quadratic polynomial with zeros (5/3) and 0?
(A) 3x(3x-5)
(B) 3x(x-5)
(C) x2-5/3
(D) 5x2/3
Question 9. The graph of y = p(x) is given, for a polynomial p(x). The number of zeroes of p(x) from the graph is
(A) 3
(B) 1
(C) 2
(D) 0
Solution:
Look at the graph and find how many points the graph cuts or touches the x-axis.
Here it is only at 1 point.
Hence option B is the answer.
Question 10.
Question 11: If a, b, c form an A.P. with common difference d, then the value of a -2b-c is equal to
(A) 2a 4d
(B) 0
(C) -2a-4d
(D) -2a-3d
Question 12. If the value of each observation of a statistical data is increased by 3, then the mean of the data
(A) remains unchanged
(B) increases by 3
(C) increases by 6
(D) increases by 3n
Solution:
If each observation of the data is increased by 3, then their mean is increased by 3.
Hence option B is the answer.
Question 13. Probability of happening of an event is denoted by p and probability or non-happening of the event is denoted by q. Relation between p and q is
Question 14. A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought ?
(A) 40
(B) 240
(C) 480
(D) 750
Solution:
Given, total number of tickets sold = 6000
Probability of her winning = 0.08
Total number of tickets she bought = 6000 × 0.08
= 480
Hence option C is the answer.
Question 15. If α, β are the zeroes of a polynomial p(x) = x2 plus x- 1, (1/α) plus (1/ β) equals is
Question 16. The least positive value of k, for which the quadratic equation x2 plus kx-4 = 0 has rational roots, is
(A) ±2√2
(B) 2
(C) ±2
(D) √2
Solution:
The least positive value of k is 2.
Hence option B is the answer.
Question 17. [(5/8)sec260 - tan260 plus cos245] is equal to
(A) -5/3
(B) -1/2
(C) 0
(D) -1/4
Question 18. Curved surface area of a cylinder of height 5 cm is 94.2 cm2. Radius of the cylinder is
(A) 2 cm
(B) 3 cm
(C) 2.9 cm
(D) 6 cm
Solution:
Given height of cylinder = 5 cm
Curved surface area = 94.2 cm2
CSA = 2πrh
94.2 = 2×3.14×r×5
Solving we get, r = 3
Hence option B is the answer.
Assertion-Reason Type Questions
In Question 19 and 20, an Assertion (A) statement is followed by a statement of Reason (R). Select the correct option out of the following:
(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 but 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.
Question 19. Assertion (A) :The perimeter of triangle ABC is a rational number.
Reason (R) : The sum of the squares of two rational numbers is always rational.
Question 20. Assertion (A) : Point P(0, 2) is the point of intersection of y-axis with the line 3x plus 2y = 4.
Reason (R) : The distance of point P(0, 2) from x-axis is 2 units.
Section B
Question 21. Find the least number which when divided by 12, 16 and 24 leaves the remainder 7 in each case.
Solution:
The least number which is divisible by 12, 16, and 24 is the LCM of 12, 16, and 24.
LCM of 12, 16 and 24 = 48
So the least number which when divided by 12, 16 and 24 leaves the remainder 7 in each case = sum of 48 and 7
= 55
Question 22. A bag contains 4 red, 3 blue and 2 yellow balls. One ball is drawn at random from the bag. Find the probability that drawn ball is
(i) red
(ii) yellow
Solution:
No. of red balls = 4
No. of blue balls = 3
No. of yellow balls = 2
Total number balls = 9
Probability of getting red ball = 4/9
Probability of getting yellow ball = 2/9
Question 23 (a). Solve the pair of equations x = 5 and y = 7 graphically.
Solution:
Below is the graph of x = 5 and y = 7
The lines intersect at (5, 7)
Question 23. (b) Using graphical method, find whether pair of equations x = 0 and y= -3, is consistent or not.
Solution:
Unique solution exists.
Hence the equations are consistent.
Question 24 (a). If sin x plus cos x = √3, then find the value of sin x cos x.
Question 24 (b): If sin A = 1/√2 and cot B = √3, then find the value of cosec A plus cosec B.
Salviya specialises in writing content on board exams. With a B.Tech degree from Kannur University, she has 3+ years of work experience in the education industry. She loves travelling, cooking, and watching movies.
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Student Forum
Anything you would want to ask experts?Answered 18 hours ago
You can find CBSE Class 10 previous year question papers from various sources:
Official CBSE Website: The Central Board of Secondary Education (CBSE) often provides past year question papers and sample papers on their official website. You can download them directly for free.
Books: Many publishers re
R
Contributor-Level 10
Answered 18 hours ago
sorry but currently I don't sgive u pecific board exam papers such as the HP Board Class 10th Sanskrit model question paper for the 2025 session. However, you can find such papers on the official HP Board of School Education website or in online educational portals that specialize in providing mode
R
Contributor-Level 10
Answered 3 days ago
Download the previous 5 years of question papers for CBSE Class 10 from many reliable online sources. On sites, one can find collections of question papers, where many PDFs of the latest ones available from 2019-2023 years and for various subjects including maths, science, social science, English, a
K
Contributor-Level 8
Answered 4 days ago
Well, you have done an MBA, and you studied Hindi as a second language in your 10th standard and up to degree levels, so you can directly attend the competitive exams without specific subject specializations.
Such exams include SSC CGL, UPSC Civil Services, and various State Public Service Commission
U
Contributor-Level 10
Answered 5 days ago
To get into Maulana Azad Medical College through NEET PG, the 10th and 12th percentiles do not matter. The required eligibility for appearing in the NEET PG examination is given below:
Candidates who wish to apply for the exam or who wish to participate in the counselling process must check the elig
N
Beginner-Level 3
Answered 5 days ago
In Andhra Pradesh schools for many years that internal marks are included as part of the board examinations for class 10.
It is above all for internal assessments and practical subjects. These marks are counted at the end and affect the result; nevertheless, the percentage or weight is subjective to
R
Contributor-Level 10
Answered 5 days ago
To get into Sanjay Gandhi Postgraduate Institute of Medical Sciences through NEET PG, the 10th and 12th percentiles do not matter. The required eligibility for appearing in the NEET PG examination is given below:
Candidates who wish to apply for the exam or who wish to participate in the counselling
M
Beginner-Level 3
Answered 2 weeks ago
There are so many changes in exam patterns and exam syllabi as well. For a more accurate and all-updated syllabus go to their official website and under the academic section download the updated syllabus. Science and Mathematics have received updated content and practical applications check the CBSE
S
Contributor-Level 10
Answered 2 weeks ago
Yes, the Supreme Court directed the suspension of physical classes for students of Classes 10 and 12 in Delhi-NCR due to severe air pollution. As a result, the Delhi government has shifted these classes to an online format to safeguard the health of students. This decision aligns with the Graded Res
S
Contributor-Level 10
Answered 2 weeks ago
To find the CBSE Class 10 Hindi medium Social Science (SST) question paper for 2024, you can visit official educational portals and resources like the CBSE website or educational platforms dedicated to exam materials. These platforms provide sample question papers, marking schemes, and other exam re
K
Contributor-Level 10
Where can I find CBSE class 10th previous year question papers (last 10 years)?