Math Worksheets – CBSE Grade 12
Free CBSE Grade 12 Maths practice worksheets with real exam-style questions and full answer keys. This set has 9 printable papers covering Relations and Functions, Matrices, Continuity and Differentiability, Integrals and 5 more. Work through them to build speed and accuracy, then check your answers against the key on each page. Stuck on any step? The Doubt Solver works out the full method for you.
Worksheets in this set
Relations and Functions
Practice paper with full answer key
Matrices
Practice paper with full answer key
Continuity and Differentiability
Practice paper with full answer key
Integrals
Practice paper with full answer key
Probability
Practice paper with full answer key
Determinants
Practice paper with full answer key
Differential Equations
Practice paper with full answer key
Vector Algebra
Practice paper with full answer key
Applications of Derivatives
Practice paper with full answer key
Sample problems MCQ
Real questions taken from the worksheets above, with answers from the published answer key.
Q1.If f(x) = x + 1 and g(x) = 2x, then (f ∘ g)(2) = ?
- (a) 4
- (b) 5
- (c) 6
- (d) 3
Answer: (b) 5
From: Relations and Functions
Q1.The order of the matrix A = [ [1, 2, 3], [4, 5, 6] ] is:
- (a) 2 × 3
- (b) 3 × 2
- (c) 6
- (d) 2 × 2
Answer: (a) 2 × 3
From: Matrices
Q1.A function f is continuous at x = a if:
- (a) lim (x → a) f(x) = f(a)
- (b) f(a) exists
- (c) f is one-one
- (d) lim (x → a) f(x) exists
Answer: (a) lim (x → a) f(x) = f(a)
Q1.If P(A) = 1/2, P(B) = 1/3 and the events A and B are independent, then P(A ∩ B) = ?
- (a) 1/5
- (b) 1/6
- (c) 5/6
- (d) 1/2
Answer: (b) 1/6
From: Probability
Common mistakes to avoid
- •Applying L’Hopital’s rule to the wrong indeterminate form without checking the limit
- •Missing the constant of integration in indefinite integrals
- •Using scalar multiplication on vectors instead of the scalar (dot) product in projection questions
Frequently asked questions
Are the Class 12 Maths worksheets free?
Yes - every Mohsim Digital Education worksheet is free to download with a full answer key.
How do I get a full step-by-step solution?
Run the question through the Doubt Solver on this site to get a clear worked solution instantly.
Do these follow the NCERT / CBSE Class 12 syllabus?
The worksheets cover relations and functions, calculus, vectors, three-dimensional geometry and probability as per the CBSE curriculum.
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