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Punjab Board · 1st Year Mathematics

Past Papers — 1st Year Math

Previous years' papers are the closest preview of your board paper. Solve them under timed conditions, then revise the chapters where you lost marks.

How to use past papers

  1. Finish the full course first — past papers test preparation, they don't create it.
  2. Solve one complete paper in 3 hours without notes, exactly like the exam.
  3. Mark it honestly using the pairing scheme: note which chapters cost you marks.
  4. Revise those chapters from the notes below, then attempt another paper.
  5. Repeat for at least 3–5 years of papers across different Punjab boards.

Revise by chapter

Every question in a past paper maps to one of these chapters.

Chapter 1: Complex Numbers 7 marks Chapter 2: Functions and Graphs 7 marks Chapter 3: Theory of Quadratic Functions 13 marks Chapter 4: Matrices and Determinants 13 marks Chapter 5: Partial Fractions 5 marks Chapter 6: Sequences and Series 17 marks Chapter 7: Permutations and Combinations 13 marks Chapter 8: Mathematical Induction and Binomial Theorem 11 marks Chapter 9: Division of Polynomials 12 marks Chapter 10: Trigonometric Identities 12 marks Chapter 11: Trigonometric Functions and their Graphs 3 marks Chapter 12: Limit and Continuity 13 marks Chapter 13: Differentiation 8 marks Chapter 14: Vectors in Space 5 marks

Paper pattern (100 marks, 3 hours)

  • Section A — 20 marks: compulsory MCQs from across the book.
  • Section B — 50 marks: short questions in paired groups.
  • Section C — 30 marks: attempt 3 of 5 long-question pairings.