CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 01

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Find the CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 01 right below. We offer standard Class 10 Mathematics sample papers packed with detailed solutions for the 2026-27 term, following rules set by CBSE, NCERT, and KVS. Practice these model tests to build confidence and understand fresh marking trends.

Model Papers: Class 10 Mathematics (CBSE)

Every Class 10 Mathematics student should use these model papers to check chapter-wise marks distribution and question trends. Solving these practice tests makes managing your exam time much easier. For even better results, pair them with our Class 10 Mathematics Question Papers from past years.

Class 10 Mathematics Sample Paper with Solutions

SECTION – A
 
 
Question : If the numbers 2n – 1, 3n + 2 and 6n – 1 are in A.P., then find n and hence find the numbers.
Answer : Let 2n – 1, 3n + 2 and 6n – 1 are in A.P.
∴ (3n + 2) – (2n – 1) = (6n – 1) – (3n + 2)
⇒ n + 3 = 3n – 3 ⇒ 6 = 2n ⇒ n = 3
∴ Numbers are : 2(3) –1 = 5, 3(3) +2 = 11 and 6(3) –1 = 17.
 
 
Question : A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is recast into a hollow cylinder of internal radius 30 cm and thickness 5 cm. Find the length of the pipe.
OR
If the diameter of cross-section of a wire is decreased by 5%, how much percent will the length be increased so that volume remains the same? 
Answer :  Volume of iron = (440 × 260 × 100) cm3
Internal radius of the pipe = 30 cm
External radius of the pipe = (30 + 5)cm = 35 cm
Let the length of the pipe be h cm.
Volume of iron in the pipe = (External volume) – (Internal volume)
Ma-1
OR
If the diameter of cross-section of a wire is decreased by 5%, how much percent will the length be increased so that volume remains the same?
Answer : 
Ma-2
Ma-3
 
 
 
Question : Find k so that the quadratic equation (k + 1)x2 − 2(k + 1)x + 1 = 0 has equal roots.
OR
If one root of the quadratic equation 3x2 + px + 4 = 0is 2/3, then find the value of p and the other root of the equation.
Answer :  We have (k + 1)x2 – 2(k + 1)x + 1 = 0
Comparing with Ax2 + Bx + C = 0 we get A = (k + 1),B,= -2(k+ 1), C= 1
If roots are equal, then D = 0, i.e. B2 – 4AC = 0
⇒ B2 = 4AC
⇒ 4(k+ 1)2 = 4(k+ 1)
⇒ k2 + 2k + 1 = k + 1
⇒ k2 + k = 0
⇒ k(k + 1) = 0
⇒ k = 0, - 1Since k = - 1 does not satisfy the equation, thus k = 0
 
OR
If one root of the quadratic equation 3x2 + px + 4 = 0is 2/3, then find the value of p and the other root of the equation.
Answer : 
Ma-4
 
 
 
 
Question : The difference of mother’s age and her daughter’s age is 21 years and the twelfth part of the product of their ages is less than the mother’s age by 18 years. Find their ages.
Answer : 
Ma-5
 
 
Question : In figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120⁰, then prove that OR = PR + RQ.
Ma
 
Answer : 
Ma-6
 
 
 
 
Question : Calculate the mean for the following frequency distribution:
Ma-
 
 

 

 

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  2. Target Weaknesses: Class 10 students should analyze missed questions to rectify conceptual misunderstandings.
  3. Textbook Reference: Consult the NCERT book for Class 10 Mathematics when stuck, then practice the concept fresh.
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