Class 12 Mathematics Smart Syllabus 2026-27 PDF Download Punjab
PECTAA 2nd Year ALP Smart Syllabus 2026-27 - Deleted Topics & Questions
Class 12 Mathematics Smart Syllabus 2026-27 – Punjab Board
The Class 12 Mathematics Smart Syllabus 2026-27 has officially been issued by the Punjab Education, Curriculum, Training and Assessment Authority (PECTAA), Lahore, under the Accelerated Learning Programme (ALP). This revised syllabus is applicable to students of Intermediate Part-II (2nd Year) appearing in the Punjab Boards Annual Examination 2027. It provides a detailed list of deleted topics, excluded examples and exercise questions from the Mathematics-12 textbook.
Students preparing for the 12th Class Mathematics Board Examination 2027 can use this updated PECTAA Smart Syllabus to identify the portions excluded from the examination. The document covers all 11 units of the Mathematics textbook and specifies the examples, exercises, questions and selected topics that have been removed. Students and teachers should carefully review the chapter-wise deleted content before planning their examination preparation.
The 2nd Year Mathematics ALP Smart Syllabus 2026-27 PDF is available for free download. Students of FSc Pre-Engineering, ICS and other intermediate study groups can access the revised syllabus and prepare according to the latest instructions issued by PECTAA Punjab. The notification also includes revised pairing schemes and model papers for Grade 12 Annual Examination 2027.
Class 12 Mathematics Smart Syllabus 2026-27 – Overview
- Class: 12th Class / Intermediate Part-II
- Subject: Mathematics
- Academic Session: 2026-27
- Programme: Accelerated Learning Programme (ALP)
- Syllabus: Smart Syllabus / Deleted Topics
- Issued By: PECTAA Lahore
- Notification No.: PECTAA/C&C Unit/2026/1258
- Notification Date: 14 November 2026
- Examination: Punjab Boards Annual Examination 2027
- PDF: Free Download
What Is the Class 12 Mathematics ALP Smart Syllabus?
The Accelerated Learning Programme (ALP) is designed to rationalise the prescribed textbook content and help students focus on essential learning outcomes. Under the new PECTAA Mathematics Smart Syllabus, selected examples, topics and exercise questions have been excluded from the 2nd Year Mathematics textbook.
It is important to understand that the entire Mathematics book has not been removed. All 11 units remain part of the syllabus, but selected content from different units has been excluded. Students should therefore study the remaining prescribed topics and exercises rather than skipping complete units.
2nd Year Mathematics Deleted Topics and Questions – Unit Wise
The following is a chapter-wise overview of the Class 12 Mathematics Deleted Topics 2026-27. Students should consult the original PECTAA PDF for the complete list of deleted examples, exercise questions and textbook page numbers.
Unit 1 – Graphical Representation of Functions
Excluded content includes:
- Example 3 and selected questions from Exercise 1.1.
- Selected concepts of exponential functions.
- Horizontal asymptote of exponential functions and Examples 6 and 7.
- Graphs of hyperbolic functions.
- Selected questions from Exercises 1.2 and 1.3.
- Example 20 related to exponential and logarithmic equations.
- Selected questions from Exercise 1.4.
- Applications of exponential and logarithmic functions in real-life situations, Examples 21 to 27.
- Selected questions from Exercise 1.5.
Unit 2 – Further Differentiation
Excluded Exercise Questions:
- Exercise 2.3: Questions 2 and 6.
- Exercise 2.4: Questions 1 (iv), 2 (iv and v), 3 and 5.
- Exercise 2.5: Questions 2 (b), 3 (ii) and 4 (i).
- Exercise 2.6: Questions 2 (ii), 3 (i and iii) and 5.
- Exercise 2.7: Questions 1, 4, 5 and 7.
Unit 3 – Integration
Excluded content includes:
- Examples 11 and 12.
- Selected questions from Exercise 3.1.
- Selected questions from Exercise 3.2.
- Examples 35, 38 and 39 related to Integration by Parts.
- Selected questions from Exercise 3.3.
- Selected questions from Exercise 3.4.
- Examples 49 to 56 related to Definite Integrals and their Properties.
- Selected questions from Exercises 3.5, 3.6 and 3.7.
Unit 4 – Differential Equations
Excluded content includes:
- Exercise 4.1: Question 1 (v) and Questions 2, 3, 4, 5 and 6.
- Section 4.5: Applications of First-Order Differential Equations in Real-Life Problems.
- Examples 8 to 12.
- Exercise 4.3: Questions 5, 6, 7, 8, 9 and 10.
Unit 5 – Analytical Geometry
Excluded Exercise Questions:
- Exercise 5.1: Questions 4, 5, 7 (vi), 8 and 11.
- Exercise 5.2: Questions 6, 7 and 9.
- Exercise 5.3: Questions 11 and 12.
Unit 6 – Conics
Excluded content includes:
- Examples 8 and 9 related to Circle.
- Exercise 6.1: Questions 4, 8, 10 and 12.
- Example 14 related to Tangent and Normal to a Conic.
- Exercise 6.2: Questions 5 and 6.
- Exercise 6.3: Questions 5, 6 and 7.
- Exercise 6.4: Questions 5, 6, 7, 11, 12 and 13.
- Exercise 6.5: Questions 3, 6, 9, 11, 12, 14, 18, 19 and 20.
- Exercise 6.6: Questions 6 to 11.
Unit 7 – Kinematics
Excluded Exercise Questions:
- Exercise 7: Questions 1 to 5.
Unit 8 – Numerical Solutions of Nonlinear Equations
Excluded Exercise Questions:
- Exercise 8.2: Questions 1 (i and iii), 2 (ii and iii), 3 (iv and v).
- Exercise 8.3: Questions 1, 2, 7 and 8.
- Exercise 8.4: Complete exercise.
Unit 9 – Inverse Trigonometric Functions and Their Graphs
Excluded content includes:
- Graphs of Inverse Trigonometric Functions (Figures 9.1 to 9.15).
- Section 9.1: Pages 259 to 269.
- Exercise 9.2: Questions 11, 12, 13, 17, 18, 20 and 21.
Unit 10 – Solution of Trigonometric Equations
Excluded Exercise Questions:
- Exercise 10.1: Questions 14 and 19 to 24.
- Exercise 10.2: Questions 1 to 5.
Unit 11 – Vector Valued Functions and Their Derivatives
Excluded Exercise:
- Exercise 11.3: Complete exercise.
Important Instructions for Mathematics Students
The PECTAA Mathematics Smart Syllabus 2026-27 contains selected deleted topics and questions from all 11 units. It does not mean that complete units have been removed.
Important: Students should not skip an entire chapter or unit simply because some questions have been deleted. Only the specifically identified content should be treated as excluded. The original PECTAA notification should be consulted for exact page numbers and question details.
How to Prepare for the 2nd Year Mathematics Board Examination 2027?
Students can use the latest Class 12 Mathematics ALP Smart Syllabus to organise their board examination preparation. The following steps can help make revision more effective:
- Download the latest PECTAA Mathematics Smart Syllabus PDF.
- Check all 11 units and identify the deleted topics.
- Mark excluded examples and exercise questions in your textbook.
- Practise the remaining exercises and important mathematical concepts.
- Revise formulas, definitions, theorems and numerical problems.
- Practise according to the revised Mathematics pairing scheme.
- Use the official model paper to understand the examination pattern.
Download Class 12 Mathematics Smart Syllabus 2026-27 PDF
Get the latest PECTAA ALP Smart Syllabus for 2nd Year Mathematics. Check all deleted topics, excluded examples and exercise questions for Punjab Board Annual Examination 2027.
DOWNLOAD FREE PDFPECTAA Mathematics-12 | ALP Smart Syllabus 2026-27
Information for Mathematics Teachers and Educational Institutions
The 2nd Year Mathematics Reduced Syllabus 2026-27 is also useful for Mathematics teachers, college lecturers and educational institutions across Punjab. Teachers can use the unit-wise deleted topics list to plan classroom teaching, prepare assignments and guide students about the revised examination content.
Colleges and schools should ensure that students are following the latest PECTAA instructions. The revised pairing scheme and model papers should also be considered while preparing students for the BISE Annual Examination 2027.
Official PECTAA Notification Details
Notification Number: PECTAA/C&C Unit/2026/1258
Notification Date: 14 November 2026
Issuing Authority: Punjab Education, Curriculum, Training and Assessment Authority (PECTAA), Lahore.
Academic Session: 2026-27
Applicable Examination: BISE Annual Examination 2027
The notification covers the Smart Syllabus (ALP / Deleted Topics and Exercise Questions), Pairing Schemes and Model Papers for Grade 12 across Punjab.
Explore More Class 12 Smart Syllabus 2026-27
Students can also explore the latest subject-wise PECTAA Smart Syllabus for 2nd Year:
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School Education Updates, Study Material and Board Examination Resources
A Educational Project in Pakistan
Smart Syllabus / Accelerated Learning Programme
(ALP) of Mathematics Grade-12
for Academic Session 2026-27 & BISE Exam-2027
| Unit No. | Name of the Unit | Excluded Content & Examples / Questions |
|---|---|---|
| 1 | Graphical Representation of Functions |
|
| 2 | Further Differentiation |
|
| 3 | Integration |
|
| Unit No. | Name of the Unit | Excluded Content & Examples / Questions |
|---|---|---|
| 4 | Differential Equations |
|
| 5 | Analytical Geometry |
|
| 6 | Conics |
|
| 7 | Kinematics |
|
| 8 | Numerical Solutions of Nonlinear Equations |
|
| 9 | Inverse Trigonometric Functions and Their Graphs |
|
| 10 | Solution of Trigonometric Equations |
|
| 11 | Vector Valued Functions and Their Derivatives |
|
