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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 review concepts for the BSEH Class 12 Maths exam. 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 Exam

Haryana BSEH Senior Secondary Mathematics covers Class 12 board mathematics under Board of School Education Haryana (bseh.org.in). Core topics align with NCERT Class 12 Maths: relations and functions, inverse trigonometric functions, matrices, determinants, continuity and differentiability, applications of derivatives, integrals, applications of integrals, differential equations, vectors, three-dimensional geometry, linear programming, and probability. The official theory paper is listed on BSEH date sheets as code 835 Mathematics with a typical 3-hour sitting; pass rules commonly reference a 33% floor per current notification. This free local bank provides English four-option MCQs with calculation-heavy practice; pair it with the official Class 12 syllabus and school textbooks via bseh.org.in.

Exam sponsor: Board of School Education Haryana (BSEH). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

BSEH Senior Secondary Mathematics is the Class 12 board theory paper under Board of School Education Haryana. Official date sheets list subject code 835 Mathematics with a typical duration of 3 hours. Syllabus coverage follows BSEH Class 12 Mathematics (NCERT Class 12 Maths chapters: Relations and Functions; Inverse Trigonometric Functions; Matrices; Determinants; Continuity and Differentiability; Applications of Derivatives; Integrals; Applications of Integrals; Differential Equations; Vector Algebra; Three Dimensional Geometry; Linear Programming; Probability). Official section marks and compulsory/optional patterns are year-dependent; confirm the sample/model paper and circular for your session on bseh.org.in. This 100-question bank weights calculus ~40%, matrices/determinants ~15%, vectors/3D ~15%, probability/LPP ~15%, and relations/inverse trig ~15% as an English four-option MCQ study adaptation — not an official blueprint replica.

Time Limit

About 3 hours (Senior Secondary Mathematics theory; date-sheet code 835). Confirm the year’s official date sheet and admit card.

Passing Score

Follow the current BSEH Senior Secondary notification (commonly a 33% subject pass floor for Mathematics theory-style reporting unless a later circular states otherwise).

Exam / Certification Fees

As notified by BSEH and paid through affiliated schools/centres for regular and compartment/improvement sittings (no single fixed public subject fee for all categories).

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

~40% of this local bank

Calculus

Continuity and differentiability, applications of derivatives, integrals, applications of integrals, and differential equations.

~15% of this local bank

Matrices and Determinants

Operations, determinants, adjoints, inverses, and linear systems.

~15% of this local bank

Vectors and 3D Geometry

Dot/cross products, projections, lines, planes, and direction cosines.

~15% of this local bank

Probability and Linear Programming

Classical and binomial probability, Bayes-type problems, and LPP corner points.

~15% of this local bank

Relations, Functions, Inverse Trig

Relation properties, function types, and inverse trigonometric identities.

Preparing for the BSEH Class 12 Maths Exam

What You Need to Know

  • Passing score: Follow the current BSEH Senior Secondary notification (commonly a 33% subject pass floor for Mathematics theory-style reporting unless a later circular states otherwise).
  • Assessment: BSEH Senior Secondary Mathematics is the Class 12 board theory paper under Board of School Education Haryana. Official date sheets list subject code 835 Mathematics with a typical duration of 3 hours. Syllabus coverage follows BSEH Class 12 Mathematics (NCERT Class 12 Maths chapters: Relations and Functions; Inverse Trigonometric Functions; Matrices; Determinants; Continuity and Differentiability; Applications of Derivatives; Integrals; Applications of Integrals; Differential Equations; Vector Algebra; Three Dimensional Geometry; Linear Programming; Probability). Official section marks and compulsory/optional patterns are year-dependent; confirm the sample/model paper and circular for your session on bseh.org.in. This 100-question bank weights calculus ~40%, matrices/determinants ~15%, vectors/3D ~15%, probability/LPP ~15%, and relations/inverse trig ~15% as an English four-option MCQ study adaptation — not an official blueprint replica.
  • Time limit: About 3 hours (Senior Secondary Mathematics theory; date-sheet code 835). Confirm the year’s official date sheet and admit card.
  • Exam / certification fees: As notified by BSEH and paid through affiliated schools/centres for regular and compartment/improvement sittings (no single fixed public subject fee for all categories). Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

BSEH Class 12 Maths: Suggested Study Strategy

1Weight revision time toward calculus (derivatives, integrals, DE): it dominates Class 12 board scoring and this bank’s ~40% mix.
2Always write the formula line before substituting numbers — matrices, determinants, and 3D distance formulas reward careful setup.
3For inverse trig, memorize principal ranges (sin⁻¹, cos⁻¹, tan⁻¹) before simplifying compound expressions.
4In probability, state independence or mutual exclusivity explicitly so you use P(A)P(B) vs P(A)+P(B) correctly.
5For LPP, list all corner points of the feasible region and evaluate Z at each; the graphical optimum is always at a corner for linear objectives.

Frequently Asked Questions

How is BSEH Senior Secondary Mathematics officially examined?

Mathematics is examined under the Haryana Senior Secondary (Class 12) public examination by Board of School Education Haryana. Official date sheets list subject code 835 Mathematics with a typical theory duration of about 3 hours. Confirm the exact timetable, section pattern, and mark distribution for your year on bseh.org.in.

Is this practice bank the same format as the official Class 12 Maths paper?

No. The official board paper is a mixed-format theory examination set by BSEH. This bank is an English-language four-option MCQ study adaptation for NCERT-focused Class 12 Mathematics concepts — not an official blueprint replica.

What syllabus does this bank follow?

It follows BSEH Class 12 Mathematics themes aligned to NCERT Class 12 Maths: relations and functions, inverse trigonometry, matrices, determinants, continuity and differentiability, applications of derivatives, integrals, applications of integrals, differential equations, vectors, three-dimensional geometry, linear programming, and probability.

What is the pass mark for BSEH Senior Secondary Mathematics?

Follow the current BSEH Senior Secondary notification. Theory-style reporting is commonly described with a 33% subject floor; always verify official circulars for your examination year.

Where should I check official syllabus and date sheets?

Use bseh.org.in for Class 12 syllabus pages (including the session syllabus links), date sheets (code 835 Mathematics), and examination circulars.