CBSE Class 10 Mathematics Question Paper 2021 Set A Solved

Access and download CBSE Class 10 Mathematics Question Paper 2021 Set A Solved, carefully designed as per the latest 2025-26 examination guidelines issued by CBSE, NCERT, and KVS. These Class 10 Mathematics previous year question papers include detailed solutions, helping students to assess their performance and identify and improve key areas before the final exams.

Solved Mathematics Question Papers for Class 10

Practicing these Class 10 Mathematics question papers is the best way to understand the actual exam pattern and marking scheme. By solving these papers under timed conditions, Class 10 students can improve their speed and accuracy. Download the full CBSE Class 10 Mathematics Question Paper 2021 Set A Solved to begin your self-assessment today.

Mathematics Class 10 Question Paper PDF with Solutions

Section A
 
1. Without actual division find whether 18/30 will have a terminating decimal expansion or a non-terminating repeating decimal.
 
2. For what value of k, are the roots of the quadratic equation kx (x – 2) + 6 = 0 equal?
 
3. The mid-point of line segment AB is the point P (0, 4). If the coordinates of B are (-2, 3) then find the coordinates of A .
 
4. The first three terms of an AP are 3y – 1, 3y +5 and 5y +1 respectively. Then find the value of ‘y’.
 
5. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then find the length of DE (in cm) .
 
6. If sec A+ tan A = p, then find the value of sec A – tan A.
 
Section B
 
7. Determine whether the following system of equations has a unique solution, no solutions or infinitely many solutions.
 3x – 7y = 5,                6x – 14y = 10
 
8. Find the LCM and HCF of 120 and 144 by using Fundamental Theorem of Arithmetic.
 
9. Which term of the sequence 4, 9, 14.... is 124? 2
 
10. Find the point on the y-axis which is equidistant from the points (5,–2) and (–3,2).
 
11. A card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is
 
i) neither a king nor a queen ii) either a king or a queen
 
12. A bag contains 5 red and some blue balls, if probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.
 
Section C
 
13. Prove that one of every three consecutive integers is divisible by 3. 
 
14. If cosφ + sinφ = √2 cosφ, prove that cosφ - sinφ =   √ 2sin φ.
                           OR
If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.
 
15. If (3,3),(6,y),(x,7) and (5,6) are the vertices of a parallelogram taken in order, find the value of x and y.
                                                                 OR
Find the values of a and b if the points A(–2,1), B(a,b) and C(4,–1) are collinear and a – b = 1.
 
16. A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.
 

 

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CBSE Class 10 Mathematics Question Paper 2021 Set A Solved

To understand the types of questions asked in past examinations, it is very important for Class 10 students to solve the CBSE Class 10 Mathematics Question Paper 2021 Set A Solved provided above. You can easily download these past papers for Class 10 Mathematics in PDF format for the last 10 years. By practicing these actual exam questions you will gain an understanding of the difficulty level and the variety of topics covered over the years. By solving these Previous Year Papers (PYPs) you will understand both descriptive and MCQ questions in your final tests.

Importance of solving CBSE Class 10 Mathematics Question Paper 2021 Set A Solved

Regularly practicing CBSE Class 10 Mathematics Question Paper 2021 Set A Solved is the best way to improve your score in Class 10 Mathematics. These papers will give you details of the marking scheme and the paper structure used by the CBSE. By regularly attempting these under actual exam conditions at home, you can slowly improve your time management skills, which will help you to complete your Mathematics paper within the allowed duration.

Benefits of downloading CBSE Class 10 Question Papers

Having the CBSE Class 10 Mathematics Question Paper 2021 Set A Solved in PDF format allows you to revise key concepts anywhere, even without an internet connection. These sets are a reliable tool to practice numerical problems and understand the correct approach to all types of answers. After solving the questions, you should compare your work with the solutions provided by our teachers. Along with these papers, students should always solve the Class 10 Mathematics Sample Papers and MCQ tests on studiestoday.com for a complete revision.

Where can I download the official PDF for CBSE Class 10 Mathematics Question Paper 2021 Set A Solved?

The CBSE Class 10 Mathematics Question Paper 2021 Set A Solved is available for download on StudiesToday.com. It includes complete set with all sections so that Class 10 students can practice with the exact same paper that came in the CBSE exams.

Are the solutions for CBSE Class 10 Mathematics Question Paper 2021 Set A Solved based on the official CBSE marking scheme?

Yes, the solutions for CBSE Class 10 Mathematics Question Paper 2021 Set A Solved are prepared by subject matter experts as per official marking scheme. Class 10 students will understand the structure of answers and 'step-marks' methodology Mathematics.

How does solving CBSE Class 10 Mathematics Question Paper 2021 Set A Solved help in preparing for the 2026 exams?

Solving previous year papers like CBSE Class 10 Mathematics Question Paper 2021 Set A Solved is important to understand repeat themes and question difficulty levels of Mathematics. It helps Class 10 students to test their time management skills too.

Can I access CBSE Class 10 Mathematics Question Paper 2021 Set A Solved in different languages?

Yes, where applicable, CBSE Class 10 Mathematics Question Paper 2021 Set A Solved is available in both English and Hindi mediums. All students from Class 10 can access Mathematics study material in their preferred language.

Is there a charge to download the CBSE Class 10 Mathematics solved papers?

No, all previous year question papers on StudiesToday, including CBSE Class 10 Mathematics Question Paper 2021 Set A Solved, are provided free of charge in mobile-friendly PDF.