CBSE Class 10 Mathematics Question Paper 2021 Set 01 Solved

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Access comprehensive previous year question papers for Class 10 Mathematics using the CBSE Class 10 Mathematics Question Paper 2021 Set 01 Solved. Designed to align with the 2026-27 CBSE academic guidelines, these solved papers help students assess their exam readiness and understand official marking schemes.

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View or download the dedicated CBSE Class 10 Mathematics Question Paper 2021 Set 01 Solved resource below. Engaging with these previous year papers under timed conditions ensures continuous academic progress and mastery of the 2026-27 exam format.

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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Where can I download the official PDF for CBSE Class 10 Mathematics Question Paper 2021 Set 01 Solved?

The CBSE Class 10 Mathematics Question Paper 2021 Set 01 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 01 Solved based on the official CBSE marking scheme?

Yes, the solutions for CBSE Class 10 Mathematics Question Paper 2021 Set 01 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 01 Solved help in preparing for the 2026 exams?

Solving previous year papers like CBSE Class 10 Mathematics Question Paper 2021 Set 01 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 01 Solved in different languages?

Yes, where applicable, CBSE Class 10 Mathematics Question Paper 2021 Set 01 Solved is available in both English and Hindi mediums. All students from Class 10 can access Mathematics study material in their preferred language.

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