BPSC TRE 4.0 Higher Secondary Mathematics Exam MahaPack with PYQ, Mock Papers and Exam Guide with Complete Syllabus Coverage E-books (PDF Format)

The BPSC TRE 4.0 2026 (Bihar teacher exam) holds awesome importance for trying teachers in the state, and the Mathematics segment shapes a vital portion of the examination. A strong understanding of numerical concepts and problem-solving capacities are fundamental for people looking for to ended up teachers in Bihar. The BPSC TRE 4.0 higher secondary Mathematics exam syllabus 2026 is outlined to survey candidate capability in different scientific subjects.

Candidates taking the Bihar teacher exam will have to illustrate their:

• Knowledge
• Analytical abilities
• Pedagogical capacities

Detail data for Bihar higher secondary school has distributed notice 2026 for the enlistment of Bihar higher secondary Mathematics teacher opening. Those Candidates who are interested to take this opening opportunity and completed all qualification criteria can go through the opening notification 2026 notice and apply online. In this post we give the complete and detailed BPSC TRE 4.0 2026 Bihar higher secondary Mathematics syllabus of this enrollment with most recent overhaul BPSC TRE 4.0 2026 exam design and the exam date moreover.

The BPSC TRE 4.0 Higher Secondary Mathematics Examination is one of the most important teacher recruitment exams conduct by the Bihar Public Service Commission (BPSC) for the appointment of Post Graduate Teachers (PGT – Mathematics) in government higher secondary schools of Bihar.

Moreover with the increasing demand for qualified mathematics teachers and the competitive nature of the BPSC Teacher Recruitment Examination (TRE), aspirants must have a thorough understanding of the exam pattern, eligibility criteria, and detailed syllabus to prepare strategically and score well.

This comprehensive exam guide covers everything candidates need to know about BPSC TRE 4.0 Mathematics Higher Secondary exam, explained in clear paragraphs for easy understanding and maximum visibility.

Overview of BPSC TRE 4.0 Higher Secondary Mathematics Exam

The BPSC TRE 4.0 examination is conduct to recruit teachers for Classes 11 and 12 (Higher Secondary level) under the Bihar Education Department. Mathematics is one of the core subjects, and the examination is designed to assess a candidate’s subject mastery, conceptual clarity, pedagogical understanding, and general awareness related to teaching.

Likh Padh also provide Previous Year Solved Question Papers free PDF PYQ download for BPSC TRE 4.0 higher secondary Mathematics examination. Likh Padh Test App provides superb online mock tests, sample paper and PYQ. It is best for the preparation of BPSC TRE 4.0 higher secondary Mathematics examination 2026. Moreover, the Likh Padh Test App can be download for Android and IOS Platforms.

The Mathematics paper at the Higher Secondary level focuses primarily on post-graduation level Mathematics, aligned with the B.Ed. curriculum and senior secondary teaching requirements. Candidates are tested not only on theoretical concepts but also on their ability to apply mathematical principles in problem-solving and classroom teaching scenarios.

Importance of BPSC TRE 4.0 Higher Secondary Mathematics Exam

Mathematics is a high-scoring subject if prepared with proper planning and consistent practice. Clearing the BPSC TRE 4.0 Higher Secondary Mathematics exam ensures a secure government teaching position, attractive salary under the 7th Pay Commission, job stability, and long-term career growth. Due to the technical and analytical nature of Mathematics, well-prepared candidates often gain an edge over others.

BPSC TRE 4.0 Higher Secondary Mathematics Exam Eligibility

Understanding the eligibility criteria is the first step before applying for the exam. Candidates who do not meet the prescribed qualifications are disqualified at later stages, regardless of their performance.

Educational Qualification

For BPSC TRE 4.0 Higher Secondary Mathematics, candidates must fulfill the following academic requirements:

The candidate must have a Post-Graduation degree (M.Sc./M.A.) in Mathematics from a recognized university with at least 50% marks (45% for reserved categories as per Bihar government norms). The degree must include core Mathematics subjects such as Algebra, Analysis, and Applied Mathematics.

Additionally, candidates must have a Bachelor of Education (B.Ed.) degree from an institution recognized by NCTE. Alternatively, candidates holding an integrated B.A. B.Ed. / B.Sc. B.Ed. degree are also eligible.

Teaching Eligibility Test Requirement

Candidates must have qualified one of the following:

• Bihar STET (Secondary/Higher Secondary level)
• Any other teacher eligibility qualification recognized by the Bihar government for higher secondary teaching

This requirement ensures that the candidate has basic pedagogical knowledge and teaching aptitude.

Age Limit

The age limit for BPSC TRE 4.0 Higher Secondary Mathematics generally follows Bihar government rules:

• Minimum Age: 21 years
• Maximum Age:
  • General (Male): 37 years
  • General (Female), OBC, EBC: 40 years
  • SC/ST: 42 years

Age relaxation is applicable for reserved categories and government employees as per norms.

BPSC TRE 4.0 Higher Secondary Mathematics Exam Pattern

A clear understanding of the exam pattern is crucial for effective preparation. The BPSC TRE 4.0 exam is conducted in offline (OMR-based) or online mode, depending on official notification.

Nature of Examination

The examination is objective type, consisting of Multiple Choice Questions (MCQs). All questions are designed to evaluate subject knowledge, teaching understanding, and general awareness.

Total Number of Questions and Marks

The BPSC TRE 4.0 Higher Secondary Mathematics paper generally consists of 150 questions, carrying 150 marks in total. Each question carries 1 mark.

Marking Scheme

• Correct Answer: +1 mark
• Negative Marking: No negative marking (as per previous TRE trends)

This allows candidates to attempt all questions without fear of penalty.

Duration of Exam

The total duration of the exam is 2 hours 30 minutes (150 minutes), which requires effective time management, especially for lengthy mathematical problems.

Section-Wise Exam Pattern for Higher Secondary Mathematics

The paper is divided into the following sections:

• Mathematics Subject Knowledge – Major portion
• General Studies
• General Knowledge of Bihar
• Teaching Aptitude and Pedagogy
• Mental Ability and Reasoning

The Mathematics subject section carries the highest weightage, making it the most decisive part of the exam.

Detailed Syllabus for BPSC TRE 4.0 Higher Secondary Mathematics Exam

The BPSC TRE 4.0 Mathematics syllabus is extensive and largely based on post-graduate level Mathematics, along with certain elements from senior secondary teaching methodology.

Below is a detailed paragraph-wise explanation of the syllabus.

Algebra

The Algebra section is one of the most important and scoring areas in the BPSC Higher Secondary Mathematics syllabus. It includes topics such as Group Theory, where candidates must study groups, subgroups, cyclic groups, permutation groups, homomorphism, and isomorphism. The syllabus also covers Ring Theory, including rings, ideals, integral domains, and fields.

Linear Algebra is another major component, covering vector spaces, linear transformations, matrices, eigenvalues, eigenvectors, rank of matrices, systems of linear equations, and canonical forms. Algebra questions often test conceptual clarity and problem-solving ability, making regular practice essential.

Real Analysis

Real Analysis forms the backbone of higher-level Mathematics and is heavily emphasized in the BPSC TRE 4.0 exam. This section includes set theory, real number system, sequences and series, limits, continuity, and differentiability of functions.

Candidates must also study Riemann integration, mean value theorems, uniform convergence, and improper integrals. Questions from Real Analysis often require deep theoretical understanding combined with application-based thinking, which is crucial for higher secondary teaching.

Complex Analysis

The Complex Analysis syllabus includes complex numbers, analytic functions, Cauchy-Riemann equations, harmonic functions, contour integration, Cauchy’s integral theorem, and Taylor and Laurent series.

This section evaluates a candidate’s understanding of advanced mathematical concepts that are often introduced at the senior secondary and undergraduate levels, making it relevant for classroom teaching.

Differential Equations

Differential Equations are an important applied mathematics topic in the BPSC TRE 4.0 syllabus. This includes first-order differential equations, exact equations, linear and Bernoulli equations, and higher-order linear differential equations with constant coefficients.

Applications of differential equations in physical and real-life problems are also emphasized, aligning with the teaching requirements of higher secondary students.

Vector Calculus

Vector Calculus includes topics such as vector algebra, scalar and vector products, gradient, divergence, and curl. Integral theorems like Green’s theorem, Gauss divergence theorem, and Stokes’ theorem are also part of the syllabus.

These topics are essential for teaching Physics-related Mathematics concepts at the higher secondary level.

Probability and Statistics

The Probability and Statistics section includes probability theory, random variables, probability distributions (binomial, Poisson, normal), mathematical expectation, variance, and moments.

Statistics topics such as correlation, regression, hypothesis testing, sampling theory, and statistical inference are also included. This section tests both numerical ability and conceptual understanding.

Numerical Methods and Operations Research

This section covers numerical solutions of equations, interpolation, numerical differentiation and integration, and error analysis. Operations Research topics include linear programming problems, simplex method, transportation and assignment problems.

These topics are particularly useful for applied Mathematics teaching at the higher secondary level.

Mathematical Methods and Applied Mathematics

Applied Mathematics includes Fourier series, Laplace transforms, partial differential equations, and basic mechanics. These topics are important from both an academic and teaching perspective.

Teaching Aptitude and Pedagogy (Mathematics)

This section focuses on methods of teaching Mathematics, learning theories, lesson planning, evaluation techniques, and classroom management. Candidates are tested on their understanding of how students learn mathematical concepts and how to explain complex ideas in a simple manner.

General Studies and General Knowledge of Bihar

This section includes current affairs, Indian polity, history, geography, economy, and specific knowledge related to Bihar’s history, culture, education system, and policies. Though not Mathematics-based, this section contributes to the overall score.

Preparation Strategy for BPSC TRE 4.0 Higher Secondary Mathematics Exam

Therefore to crack the BPSC TRE 4.0 Mathematics exam, candidates should focus on conceptual clarity, regular problem practice, and revision. Since there is no negative marking, attempting all questions with logical reasoning increases scoring chances.

Though solving previous year BPSC TRE papers, practicing mock tests, and revising formulas regularly are essential strategies. Time management during the exam is equally important due to the lengthy nature of Mathematics problems.

Likh Padh online mobile test App provides free online mock tests for BPSC TRE 4.0 Mathematics examination. It is design according to the latest examination pattern of Mathematics BPSC TRE 4.0 examination. The free online PYQ download and mock tests for Mathematics BPSC TRE 4.0 is design according to the BPSC TRE 4.0 examination.

Conclusion

The BPSC TRE 4.0 Higher Secondary Mathematics examination is a golden opportunity for aspirants aiming for a stable and prestigious teaching career in Bihar. Since with a vast syllabus and competitive environment, success depends on systematic preparation, deep understanding of mathematical concepts, and familiarity with the exam pattern.

Candidates who thoroughly understand the exam eligibility, exam pattern, and detailed syllabus and align their preparation accordingly stand a strong chance of clearing the examination and securing a position as a Higher Secondary Mathematics Teacher under BPSC.

Lastly, Likh Padh provide all our aspirants candidate a well structured latest and updated mock test series. The sample paper and PYQ for BPSC TRE 4.0 higher secondary Mathematics exam along with all BPSC TRE 4.0 exams with free PDF PYQ, sample papers, mock test and previous year question papers bank download. Likh Padh free online test series, mock test, sample paper, PYQ for higher secondary Mathematics BPSC TRE 4.0 exam based on the trend analysis of BPSC TRE 4.0 exam updates previously asked questions in the BPSC TRE 4.0 exam.