Mathematics Grade-9 Revised ALP
Note: This rationalization aims to help students focus on the key Student Learning Outcomes (SLOs) that are essential for conceptual understanding and examination preparation, rather than covering the entire textbook.
To facilitate students, the content of Mathematics–9 has been rationalized and reduced from the compulsory textbook. It clearly specifies the exercises, examples, and questions excluded from the Mathematics Grade 9 syllabus for the annual examination-2026.
Teachers and students are advised to follow this Smart / Reduced Syllabus for effective teaching, learning, and exam preparation.
Examination Structure
- Total Marks: 75
- Objective Type: 15 marks
- Subjective Type: 60 marks
- Time: 2:30 hours (Objective: 20 minutes + Subjective: 2:10 hours)
Unit 1: Real Numbers
Excluded Content
- 1.1 Introduction to Real Numbers (Pages 1 to 3)
- 1.3 Applications of Real Numbers in Daily Life (Pages 14 to 15)
- 1.3.1 Temperature Conversion, Example #10 (Pages 15 to 16)
- 1.3.2 Profit and Loss, Examples #11 to 14 (Pages 16 to 18)
- Exercise #1.3 (Complete) (Pages 18 to 19)
- Review Exercise 1: Q #3, 8 to 10 (Page 20) (Revised)
Unit 2: Logarithms
Excluded Content
- 2.4 Laws of Logarithm, Examples #12 to 15 (Pages 30 to 34)
- Exercise #2.4 (Complete) (Pages 34 to 35)
- Review Exercise 2: Q #1 (iv, ix, x), Q #6 (ii, iii), Q #7 to 10 (Pages 35 to 36) (Revised)
Unit 3: Sets and Functions
Excluded Content
- Introduction (Page 37)
- 3.1 Mathematics as the Study of Patterns, Structures and Relationships (Pages 37-39)
- Example #5 (Page 51)
- Exercise #3.2, Q #9, Q #11 to 13 (Pages 54 to 55)
- 3.3 Binary Relations, Examples #7 & 8 (Pages 55-56)
- 3.3.1 Relation as Table, Ordered Pair and Graphs (Pages 56-57)
- 3.3.2 Functions and its Domain and Range, Example #9 (Pages 57-59)
- 3.3.3 Notation of Function (Page 59)
- 3.3.4 Linear and Quadratic Functions, Examples #10 & 11 (Pages 59-60)
- Exercise #3.3 (Complete) (Page 61)
- Review Exercise 3: Q #1 (vii to x), Q #10 to 16 (Pages 62 to 64)
Unit 4: Factorization and Algebraic Manipulation
Excluded Content
- 4.4 Square Root of an Algebraic Expression, Examples #26 & 27 (Pages 77 to 78)
- 4.4.1 Real World Problems of Factorization, Examples #28 to 30 (Pages 78 & 79)
- Exercise #4.4 (Complete) (Pages 79 to 80)
- Review Exercise 4: Q #1 (vi), Q #4 & 5 (Page 81)
Unit 5: Linear Equations and Inequalities
Excluded Content
- 5.3 Feasible Solution, Example #6 (Pages 91-92)
- 5.3.2 Maximum and Minimum Values of a Function in the Feasible Solution, Example #7 (Pages 93-94)
- Exercise #5.2 (Complete) (Pages 94 to 95)
- Review Exercise 5: Q #1 (vii, ix & x), Q #3 to 5 (Pages 95 to 96) (Revised)
Unit 6: Trigonometry
Excluded Content
- Example 12 (Page 109)
- Exercise #6.3, Q #10 to 12 (Page 111)
- Exercise #6.4, Q #2 (vii & viii), Q #3 (iii) (Page 113)
- Exercise #6.5, Q #5, 6 & 9 (Pages 117 to 118)
- 6.6 The Angle of Elevation and the Angle of Depression, Examples #19 & 20 (Pages 118 to 119)
- Exercise #6.6 (Complete) (Page 120)
- Review Exercise 6: Q #1 (iii), Q #3 (iii to vi), Q #5 & 6 (Pages 121-122) (Revised)
Important Note
Unit 8: Logic – Complete chapter is excluded from the syllabus.
Mathematics Pairing Scheme for Annual Examination 2026
Paper Structure
- Total Marks: 75
- Objective Type: 15 marks
- Subjective Type: 60 marks
- Time: 2:30 hours (Objective: 20 minutes + Subjective: 2:10 hours)
Part-I: Objective (15 Marks)
Q-1: 15 Multiple Choice Questions from the entire textbook:
- One MCQ each from units 1, 2, 5, 7, 9, 10, 11, 12, and 13
- Two MCQs each from units 3, 4 & 6
Part-II: Subjective (36 Marks)
Q-2: 6 short questions to be answered out of 9:
- Two short questions from each of units 1, 2, 3 and 4
- One short question from unit 5
Q-3: 6 short questions to be answered out of 9:
- Three short questions from each of units 6, 7 and 9
Q-4: 6 short questions to be answered out of 9:
- Two short questions from each of units 10, 11, and 13
- Three short questions from unit 12
Part-III: Subjective (24 Marks)
Long Questions Section:
Q-5 to Q-7: Three long questions bifurcated in two-parts a & b (carrying 4 marks each) and students have to attempt two questions:
| Question | Part (a) | Part (b) | Marks |
|---|---|---|---|
| Q-5 | Unit 1 | Unit 2 | 8 (4+4) |
| Q-6 | Unit 3 | Unit 4 | 8 (4+4) |
| Q-7 | Unit 5 | Unit 6 | 8 (4+4) |
Q-8 to Q-9: Two long questions bifurcated in two-parts a & b (carrying 4 marks each) and students have to attempt one question:
| Question | Part (a) | Part (b) | Marks |
|---|---|---|---|
| Q-8 | Unit 7 or Unit 10 | Unit 9 | 8 (4+4) |
| Q-9 | Unit 12 | Unit 11 or Unit 13 | 8 (4+4) |
Important Notes
This revised syllabus is implemented for the Academic Session 2025-26 and will be applicable for Annual Examination 2026.
All Board of Intermediate and Secondary Education (BISE) across Punjab are directed to implement these changes in the forthcoming annual examinations.
Teachers and students are advised to follow this Smart / Reduced Syllabus for effective teaching, learning, and exam preparation.
The rationalization aims to help students focus on the key Student Learning Outcomes (SLOs) that are essential for conceptual understanding and examination preparation.