Preparing for your 2nd Year Mathematics board exams in 2025? This comprehensive guide provides a detailed, chapter-wise list of important questions and exercises curated from the full syllabus. This resource is designed for both FSC (Faculty of Science) and ICS (Intermediate in Computer Science) Part 2 students to help them focus their revision effectively.
Disclaimer: This is a collection of important questions based on past patterns and analysis. Students are advised to use this as a revision guide alongside a complete study of the textbook and past papers.
Chapter-wise Important Questions
Chapter 1: Functions and Limits
- Exercise 1.1: Questions 5, 7, 8, 9 (v, vi)
- Exercise 1.2: Questions 1, 2, 3
- Examples: Example 3 (Page 14)
- Exercise 1.3: Question 2 (iv, vii, viii, ix, x); Question 3 (i, ii, iii, iv, v, vi, x, xi, xii); Question 4 (iii, v, ix, x)
- Exercise 1.4: Questions 2, 4, 5 (i, ii), 6
Chapter 2: Differentiation
- Important Examples: Example 2.5 (Page 66), Example 2.6 (Page 79)
- Exercise 2.1: Questions 2, 3
- Exercise 2.3: Questions 2, 3, 4, 5, 6, 7, 12, 16, 17 + All In-Chapter Examples
- Exercise 2.4: Question 2 (i, ii, iii); Question 4; Question 5 (i, ii, iii)
- Exercise 2.5: Questions 3 to 12 (All)
- Exercise 2.6: Question 1 (viii); Question 2 (iii, v, vii, viii, xi, xiii); Question 3 (Complete)
- Exercise 2.7: Questions 1, 2, 4, 6, 9
- Key Definitions: Maclaurin's Series, Taylor's Series
- Exercise 2.8: Question 1 (iv, v, vi); Question 2
- Exercise 2.9: Questions 4, 5
- Exercise 2.10: Questions 1 to 4
Chapter 3: Integration
- Exercise 3.1: Question 2 (i, ii); Questions 3, 4, 5
- Exercise 3.2: Question 1 (v, vii, ix, x); Question 2 (i, ii, x, xi, xii); Question 3 (xi, xiv)
- Exercise 3.3: Questions 3, 4, 5, 6, 7, 8, 12, 15, 16, 21
- Exercise 3.4: Question 1 (ii, vii, xiv); Question 2 (i, ii, iii, viii); Questions 4, 5 (vii)
- Exercise 3.5: Question 4
- Exercise 3.6: Questions 11, 16, 18, 21, 22, 26, 27, 29
- Exercise 3.7: Questions 3, 5, 9, 11
- Exercise 3.8: Question 2 (i, ii, iii, ix, x, xiii); Questions 15, 17
- Important Examples: Example 2 (Page 132); Example 3 & 4 (Page 159)
Chapter 4: Introduction to Analytic Geometry
- Exercise 4.1: Questions 2, 3, 8, 9, 13, 14, 16, 17
- Exercise 4.2: Question 1 (i, ii, iii); Question 3
- Exercise 4.3: Question 3 (b); Questions 4, 5, 6; Question 15; Questions 23 to 30
- Exercise 4.4: Questions 2 to 6
- Exercise 4.5: Questions 2, 3
- Important Examples: Example 9 (Page 202)
Chapter 5: Linear Inequalities and Linear Programming
- Exercise 5.1: Question 2 (i, ii, iii, iv); Question 4 (i, ii, iii); Question 5
- Exercise 5.2: Question 1 (i, ii, iii)
- Exercise 5.3: Questions 1, 2, 3, 6
- Key Definitions: Feasible Solution, Optimal Solution, Objective Function, Linear Programming, Convex Region.
Chapter 6: Conic Sections
- Exercise 6.1: Question 1 (c); Question 5
- Exercise 6.2: Questions 1, 2, 3
- Exercise 6.5: Questions 2, 3, 4
Chapter 7: Vectors
- Exercise 7.1: Questions 2, 4, 5, 6 (ii, iii), 9, 12 (i, ii), 14
- Exercise 7.2: Questions 2, 4, 7, 10, 11
- Exercise 7.3: Questions 1, 3, 5, 9, 10
- Exercise 7.4: Questions 3, 7, 8
- Exercise 7.5: Questions 1, 3, 4, 5, 8, 12
- Important Examples: Example 1 (Page 348); Example 3 (Page 354); Example 7 (Page 358); Example 8 (Page 361)
Frequently Asked Questions (FAQs)
Q1: Is this guess paper for all Punjab boards?
A: Yes, this list of important questions is based on the common syllabus followed by all Punjab boards (BISE Lahore, BISE Multan, BISE Gujranwala, etc.) for FSC and ICS Part 2.
Q2: Should I only prepare these questions?
A: No. These questions are highlighted as frequently repeated and important. However, for the best preparation and to handle any surprise questions, a thorough reading of the entire textbook is strongly recommended. Use this list to prioritize your practice.
Q3: Which chapters are the most important?
A: Based on marks weightage and frequency, Chapter 2 (Differentiation) and Chapter 3 (Integration) are extremely crucial. Chapter 5 (Linear Programming) and Chapter 7 (Vectors) also carry significant importance.
Q4: Where can I find the solutions to these questions?
A: You can find detailed solutions in your textbook, reputable key books, and various educational websites and YouTube channels dedicated to 2nd-year Mathematics.
Final Tips for Success:
- Practice Daily: Mathematics requires consistent practice. Solve problems from each chapter regularly.
- Understand Concepts: Don't just memorize steps. Understand the underlying concepts to solve varied problems.
- Time Management: Practice solving past papers within the allotted time to improve your speed and accuracy.
- Revise Key Theorems and Definitions: Questions from definitions and statements of important theorems are frequently asked.