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100+ Free BSEH Class 12 Maths Practice Questions

Board of School Education Haryana (BSEH) Senior Secondary Mathematics (Class 12) practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: BSEH Class 12 Maths Exam

~3 hours

Typical BSEH Senior Secondary Mathematics theory exam duration

BSEH date-sheet logistics for code 835 Mathematics

Code 835

BSEH date-sheet subject code for Senior Secondary Mathematics

Board of School Education Haryana date sheets

33% pass

Common subject pass floor framing under current BSEH-style Senior Secondary rules — confirm year circular

BSEH Senior Secondary result/notification practice; verify official circular

NCERT Class 12

Syllabus themes track NCERT Class 12 Mathematics chapter map

BSEH Class 12 Mathematics syllabus alignment

English MCQ adaptation

This free local bank is not the official BSEH board paper

OpenExamPrep practice policy

BSEH Senior Secondary Mathematics is the Haryana Class 12 board Maths paper (date-sheet code 835, typically 3 hours, commonly 33% pass per current notification). Syllabus tracks NCERT Class 12 Maths. This free 2026 bank is an English MCQ study adaptation with heavy calculus weight — not an official paper simulation.

Sample BSEH Class 12 Maths Practice Questions

Try these sample questions to test your BSEH Class 12 Maths exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1On A = {1, 2, 3}, let R = {(1, 1), (2, 2), (3, 3), (1, 2)}. Which statement is correct?
A.R is reflexive and transitive but not symmetric
B.R is symmetric and reflexive but not transitive
C.R is an equivalence relation
D.R is symmetric but not reflexive
Explanation: Diagonals (1,1), (2,2), (3,3) make R reflexive. (1,2) ∈ R but (2,1) ∉ R, so R is not symmetric. There is no chain of non-diagonal pairs that forces a missing composite, so R is transitive. Thus R is reflexive and transitive but not symmetric.
2Let f: ℝ → ℝ be defined by f(x) = 3x − 5. Then f is:
A.One-one and onto
B.One-one but not onto
C.Onto but not one-one
D.Neither one-one nor onto
Explanation: f(x1)=f(x2) ⇒ 3x1−5=3x2−5 ⇒ x1=x2, so f is one-one. For any y∈ℝ, x=(y+5)/3 satisfies f(x)=y, so f is onto. Hence f is bijective.
3If f(x) = x² − 1 and g(x) = x + 2, then (f ∘ g)(x) equals:
A.x² + 4x + 3
B.x² + x + 1
C.x² + 4x + 5
D.(x² − 1)(x + 2)
Explanation: (f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² − 1 = x² + 4x + 4 − 1 = x² + 4x + 3.
4The inverse of the bijective function f: ℝ → ℝ given by f(x) = 2x + 7 is:
A.f⁻¹(x) = (x − 7)/2
B.f⁻¹(x) = (x + 7)/2
C.f⁻¹(x) = 2x − 7
D.f⁻¹(x) = x/2 − 7
Explanation: y = 2x + 7 ⇒ x = (y − 7)/2, so f⁻¹(x) = (x − 7)/2. Check: f(f⁻¹(x)) = 2·((x−7)/2) + 7 = x.
5If A = {1, 2, 3, 4} and R = {(1, 2), (2, 3), (3, 4)} on A, how many ordered pairs must be added to make R transitive?
A.3
B.2
C.4
D.1
Explanation: (1,2) and (2,3) force (1,3); (2,3) and (3,4) force (2,4); (1,3) and (3,4) force (1,4). The three pairs (1,3), (2,4), (1,4) must be added.
6A function f: {1, 2, 3} → {a, b, c, d} with f(1)=a, f(2)=b, f(3)=c is:
A.Injective but not surjective
B.Surjective but not injective
C.Bijective
D.Neither injective nor surjective
Explanation: Distinct domain elements map to distinct images, so f is injective. Codomain element d has no pre-image, so f is not surjective.
7If f(x) = eˣ and g(x) = ln x (x > 0), then (f ∘ g)(x) equals:
A.x
B.eˣ ln x
C.ln(eˣ)
D.1
Explanation: For x > 0, (f ∘ g)(x) = f(ln x) = e^{ln x} = x.
8The number of binary operations that can be defined on a set with 2 elements is:
A.16
B.4
C.8
D.2
Explanation: A binary operation is a map S×S → S. |S×S| = 4 and each pair has 2 choices of image, so there are 2⁴ = 16 binary operations.
9The principal value of sin⁻¹(1/2) is:
A.π/6
B.π/3
C.π/4
D.π/2
Explanation: sin(π/6) = 1/2 and π/6 lies in the principal range [−π/2, π/2] of sin⁻¹. Hence sin⁻¹(1/2) = π/6.
10If cos⁻¹ x + cos⁻¹ y = π/2 and x = 1/2, then y equals:
A.√3/2
B.1/2
C.−1/2
D.1
Explanation: cos⁻¹(1/2) = π/3, so cos⁻¹ y = π/2 − π/3 = π/6 ⇒ y = cos(π/6) = √3/2.

About the BSEH Class 12 Maths Practice Questions

Verified exam format metadata for Board of School Education Haryana (BSEH) Senior Secondary Mathematics (Class 12) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.