Mathematics Smart/Alp syllabus for class 9th

Notification: In pursuance of Section 9(1)(b) of the Punjab Education, Curriculum, Training and Assessment Authority Act-2025 and the approval granted by the Academics Committee of PECTAA in its 7th meeting held on 23.10.2025, the Smart Syllabus (Accelerated Learning Programme-ALP / Deleted Topics and Exercise Questions), Pairing Schemes and Model Papers for the Annual Examination-2026 of Grade-9 are hereby notified for implementation across Punjab.

Director (Curriculum & Compliance)

Smart/Reduced Syllabus of Grade-9 Mathematics – 2026

To facilitate students, the content of Mathematics-9 has been rationalized and reduced from the compulsory textbook. 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. The unit-wise Smart / Reduced Syllabus is provided below. It clearly specifies the exercises, examples, and questions excluded from the Mathematics Grade 9 syllabus for the annual examination. Teachers and students are advised to follow this Smart / Reduced Syllabus for effective teaching, learning, and exam preparation.

Excluded Content of Mathematics-9

Unit 1: Real Numbers

Excluded Content
1.1 Introduction to Real Numbers; Page 1 to 3 1.3 Application of Real Numbers in Daily Life; Page 14 to 15 1.3.1 Temperature Conversion, Example 10; Page 15 to 16 1.3.2 Profit and Loss, Examples 11 to 14; Page 16 to 18 Exercise 1.3 (Complete); Page 18 to 19 Review Exercise 1: Q 3,5, 8 to 10; Page 19 to 20

Unit 2: Logarithms

Excluded Content
2.4 Laws of Logarithm, Example 12 – 15; Page 30 to 34 Exercise 2.4 (Complete); Page 34 to 35 Review Exercise 2: Q 1 (ix & x), Q 7 to 10; Page 35 to 36

Unit 3: Sets and Functions

Excluded Content
Introduction; Page 37 3.1 Mathematics as the Study of Patterns, Structures and Relationships; Page 37-39 (before the basic definition of Set) Example 5; Page 51 Exercise 3.2, Q 9, 11 to 13; Page 54 to 55 3.3 Binary Relations, Example 7,8; Page 55-56 3.3.1 Relation as Table, Ordered Pair and Graphs; Page 56-57 3.3.2 Functions and its Domain and Range, Example 9; Page 57-59 3.3.3 Notation of Function; Page 59 3.3.4 Linear and Quadratic Functions, Example 10,11; Page 59-60 Exercise 3.3, (Complete); Page 61 Review Exercise 3: Q 1 (vii to x), Q 10 to 16; Page 62 to 64

Excluded Content

Introduction; Page 37
3.1 Mathematics as the Study of Patterns, Structures and Relationships; Page 37-39 (before the basic definition of Set)
Example 5; Page 51
Exercise 3.2, Q 9, 11 to 13; Page 54 to 55
3.3 Binary Relations, Example 7,8; Page 55-56
3.3.1 Relation as Table, Ordered Pair and Graphs; Page 56-57
3.3.2 Functions and its Domain and Range, Example 9; Page 57-59
3.3.3 Notation of Function; Page 59
3.3.4 Linear and Quadratic Functions, Example 10,11; Page 59-60
Exercise 3.3, (Complete); Page 61
Review Exercise 3: Q 1 (vii to x), Q 10 to 16; Page 62 to 64

Unit 4: Factorization and Algebraic Manipulation

Excluded Content
4.4 Square Root of an Algebraic Expression Example 26,27; Page 77 to 78 4.4.1 Real World Problems of Factorization, Example 28, 29, 30; Page 78 to 79 Exercise 4.4 (Complete); Page 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; Page 91-92 5.3.2 Maximum and Minimum Values of a Function in the Feasible Solution, Example 7; Page 93-94 Exercise 5.2 (Complete); Page 94 to 95 Review Exercise 5: Q 1 (ix to x), Q 3 to 5; Page 95 to 96

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; Page 117 to 118 6.6 The angle of Elevation and the angle of depression, Example 19 & 20; Page 118 to 119 Exercise 6.6 (Complete); Page 120 Review Exercise 6: Q 3 (iii, iv, v, vi), 5,6; Page 122

Unit 7: Coordinate Geometry

Excluded Content
Exercise 7.1, Q 6,9 & 10; Page 128 Exercise 7.2, Q 2 (iii, iv),12 & 13; Page 140 to 141 7.3 Applications of Coordinate Geometry in Real Life Situations, Example 14, 15, 16, 17, 18, 19, 20; Page 141 to 144 Exercise 7.3 (Complete); Page 144 to 145 Review Exercise 7: Q 4 to 10; Page 146

Unit 8: Logic

Excluded Content
Complete chapter is excluded.

Unit 9: Similar Figures

Excluded Content
Exercise 9.1, Q 8 & 9; Page 166 Exercise 9.2, Q 5 & 8; Page 172 9.4 Geometrical properties of polygon and their applications; Page 177 9.4.1 Geometrical properties of Regular polygon; Page 177-178 9.4.2 Geometrical properties of Triangle; Page 178 9.4.3 Geometrical properties of Parallelogram, Example 13; Page 178 9.4.4 Applications of polygon, Examples 14,15,16,17,18; Page 179 to 181 Exercise 9.4 (Complete); Page 182 Review Exercise 9: Q 1 (vii to x), Q 4,7,8 & 9; Page 183 to 184

Excluded Content

Exercise 9.1, Q 8 & 9; Page 166
Exercise 9.2, Q 5 & 8; Page 172
9.4 Geometrical properties of polygon and their applications; Page 177
9.4.1 Geometrical properties of Regular polygon; Page 177-178
9.4.2 Geometrical properties of Triangle; Page 178
9.4.3 Geometrical properties of Parallelogram, Example 13; Page 178
9.4.4 Applications of polygon, Examples 14,15,16,17,18; Page 179 to 181
Exercise 9.4 (Complete); Page 182
Review Exercise 9: Q 1 (vii to x), Q 4,7,8 & 9; Page 183 to 184

Unit 10: Graphs of Functions

Excluded Content
10.2 Exponential Growth/ Decay of a Practical Phenomenon through its Graph, Example 12; Page 193-194 10.2.1 Gradients of Curves by Drawing Tangents, Example 13; Page 194 10.2.2 Application of Graph in Real Life, Example 14, 15; Page 195 to 196 Exercise 10.2 (Complete); Page 197 Review Exercise 10: Q 3, 5 to 7; Page 199

Unit 11: Loci and Construction

Excluded Content
11.5.2 Intersection of Loci, Example 10, l1, l2; Page 209 to 211 11.6 Real Life Application of Loci; Page 211 Exercise 11.2 (Complete); Page 212 to 213 Review Exercise 11: Q 1 (v to x), Q 2 to 8; Page 213 to 214

Unit 12: Information Handling

Excluded Content
Exercise 12.1: Q 8; Page 224 12.2.4 Weighted Mean, Example 19, 20; Page 234 to 235 Exercise 12.2: Q 13 to 20; Page 238 to 239 Review Exercise 12: Q 7 & 12; Page 241 to 242

Unit 13: Probability

Excluded Content
13.6 Expected Frequency, Example 11; Page 255 13.7 Real Life Application on Expected Frequency, Example 12, 13; Page 255 to 256 Exercise 13.2, Q 5 to 8; Page 257 Review Exercise 13: Q 1 (v), 2 to 7; Page 258 to 259

Instructions for Preparation of Exam Paper

Smart / Reduced Syllabus of Mathematics Grade-9 Annual Exam-2026

Total Marks: 75 (Objective Type = 15 + Subjective Type = 60)

Time Duration: 2:30 hours (Objective Type = 20 minutes + Subjective Type = 2:10 hours)

Part-I: Objective (15 Marks)

Question	Description	Marks
Q-1	15 Multiple Choice Questions (MCQs) from the entire textbook: One MCQ each from chapters 1, 2, 5, 7, 9, 10, 11, 12, and 13 and two MCQs from each of chapters 3, 4 & 6	(1 × 15) = 15

Part-I: Subjective (36 Marks)

Question	Description	Marks
Q-2	Students are required to attempt any 6 out of 9 short questions: Two short questions will be selected from each of chapters 1, 2, 3 and 4, and one from Chapter 5	(2 × 6) = 12
Q-3	Students are required to attempt any 6 out of 9 short questions: Three short questions will be selected from each of chapters 6, 7 and 9	(2 × 6) = 12
Q-4	Students are required to attempt any 6 out of 9 short questions: Two short questions will be selected from each of chapters 10, 11, and 13, and three from chapter 12	(2 × 6) = 12

Part-II: Subjective (24 Marks)

Question	Description	Marks
Q-5	One long question will be selected from chapter 1 and one long question will be selected from chapter 2	(2 × 8) = 16 (Students attempt 2 out of 3 questions)
Q-6	One long question will be selected from chapter 3 and one long question will be selected from chapter 4
Q-7	One long question will be selected from chapter 5 and one long question will be selected from chapter 6
Q-8	One long question will be selected from either chapter 7 or chapter 10 and one long question will be selected from chapter 9	(1 × 8) = 8 (Students attempt 1 out of 2 questions)
Q-9	One long question will be selected from Chapter 12 and one long question will be selected either from chapter 11 or chapter 13	(1 × 8) = 8 (Students attempt 1 out of 2 questions)