Free Practice Questions for PSEB Class 12 Maths
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Key Facts: PSEB Class 12 Maths Exam
~3 hours
Typical PSEB Senior Secondary Mathematics theory exam duration
PSEB Class 12 theory sitting logistics for Mathematics
Code 028
PSEB subject code for Senior Secondary Mathematics
Punjab School Education Board scheme/date-sheet practice
80 + 20
Theory 80 marks + Internal Assessment 20 marks = 100
PSEB Scheme of Studies Class XII
33% pass
Separate and aggregate pass floor framing under current PSEB Senior Secondary rules — confirm year circular
PSEB scheme of studies / result rules; verify official circular
NCERT Class 12
Syllabus themes track NCERT Class 12 Mathematics chapter map
PSEB Class 12 Mathematics syllabus alignment
English MCQ adaptation
This free local bank is not the official PSEB board paper
OpenExamPrep practice policy
PSEB Senior Secondary Mathematics is the Punjab Class 12 board Maths paper (code 028, Theory 80 + INA 20 = 100, typically 3 hours, 33% separate and aggregate pass). 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 PSEB Class 12 Maths Practice Questions
Try these sample questions to review concepts for the PSEB 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), (2,1)}. Which statement is correct?
2Let f: ℝ → ℝ be given by f(x) = 2x + 7. Then f is:
3If f(x) = x² + 1 and g(x) = √x (x ≥ 0), then (g∘f)(3) equals:
4Let f: {1,2,3} → {a,b,c} with f(1)=a, f(2)=b, f(3)=a. Then f is:
5If f(x) = 3x − 4 is invertible, f⁻¹(5) equals:
6On ℝ, define a * b = a + b − ab. The identity element for * is:
7If A = {1, 2, 3, 4} and R = {(1,2), (2,3), (1,3), (3,4)} on A, how many ordered pairs must be added at minimum to make R transitive?
8Let f(x) = x³ − 3x + 2. Counting multiplicity, the number of real roots of f(x)=0 is:
9The principal value of sin⁻¹(1/2) is:
10The principal value of cos⁻¹(−1/2) is:
About the PSEB Class 12 Maths Exam
Punjab PSEB Senior Secondary Mathematics covers Class 12 board mathematics under Punjab School Education Board (pseb.ac.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 subject is listed as code 028 Mathematics with Theory 80 + INA 20 = 100 and a typical 3-hour theory sitting; pass rules require 33% separately and in aggregate per current scheme of studies. 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 pseb.ac.in.
Exam sponsor: Punjab School Education Board (PSEB). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
PSEB Senior Secondary Mathematics is the Class 12 board theory paper under Punjab School Education Board. Official scheme of studies and date sheets list subject code 028 Mathematics with Theory 80 + Internal Assessment (INA) 20 = 100 and a typical theory duration of about 3 hours. Syllabus coverage follows PSEB 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 pseb.ac.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; subject code 028). Confirm the year’s official date sheet and admit card.
Passing Score
Pass 33% separately (theory and internal assessment where required) and 33% in aggregate for the subject under current PSEB Senior Secondary rules unless a later circular states otherwise.
Exam / Certification Fees
As notified by PSEB and paid through affiliated schools/centres for regular and compartment/improvement sittings (no single fixed public subject fee for all categories).
Exam sponsor websiteFees, 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.
Calculus
Continuity and differentiability, applications of derivatives, integrals, applications of integrals, and differential equations.
Matrices and Determinants
Operations, determinants, adjoints, inverses, and linear systems.
Vectors and 3D Geometry
Dot/cross products, projections, lines, and direction cosines.
Probability and Linear Programming
Conditional probability, total probability, Bayes’ theorem, and LPP corner points.
Relations, Functions, Inverse Trig
Relation properties, function types, and inverse trigonometric identities.
Preparing for the PSEB Class 12 Maths Exam
What You Need to Know
- Passing score: Pass 33% separately (theory and internal assessment where required) and 33% in aggregate for the subject under current PSEB Senior Secondary rules unless a later circular states otherwise.
- Assessment: PSEB Senior Secondary Mathematics is the Class 12 board theory paper under Punjab School Education Board. Official scheme of studies and date sheets list subject code 028 Mathematics with Theory 80 + Internal Assessment (INA) 20 = 100 and a typical theory duration of about 3 hours. Syllabus coverage follows PSEB 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 pseb.ac.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; subject code 028). Confirm the year’s official date sheet and admit card.
- Exam / certification fees: As notified by PSEB 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
PSEB Class 12 Maths: Suggested Study Strategy
Frequently Asked Questions
How is PSEB Senior Secondary Mathematics officially examined?
Mathematics is examined under the Punjab Senior Secondary (Class 12) public examination by Punjab School Education Board. The scheme lists subject code 028 Mathematics with Theory 80 marks and Internal Assessment 20 marks (total 100). Typical theory duration is about 3 hours. Confirm the exact timetable, section pattern, and mark distribution for your year on pseb.ac.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 PSEB. 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 PSEB 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 PSEB Senior Secondary Mathematics?
Under current PSEB scheme framing, candidates must secure 33% separately (including theory and internal assessment components as required) and 33% in aggregate for the subject (Theory 80 + INA 20). Always verify official circulars for your examination year.
Where should I check official syllabus and date sheets?
Use pseb.ac.in for Class 12 syllabus pages, Scheme of Studies (including Theory 80 + INA 20 for Mathematics code 028), date sheets, and examination circulars.