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ALP Math Pairing Scheme 2027 & deleted topics – Grade 11 Punjab Board

ALP Mathematics Pairing Scheme 2027

The ALP Smart Syllabus Mathematics New Pairing Scheme for Annual Examination 2027 is an essential resource for Grade 11 (1st Year) students preparing for Punjab Board examinations. Based on the ALP Accelerated Learning Program and Smart Syllabus 2026-27 issued by PECTAA Punjab, this updated Mathematics pairing scheme helps students understand the revised examination pattern and prepare strategically for their annual board exams. Students can also check the details of deleted topics in the ALP Smart Syllabus 2026-27 to identify the excluded content and focus on the prescribed syllabus. The Class 11 Smart Syllabus 2026 PDF, Mathematics pairing scheme, and Punjab Board 2027 Model Papers will help students organize their exam preparation according to the latest syllabus and paper pattern. Visit 786Times.com for the latest Punjab Board syllabus updates, ALP study materials, pairing schemes, and examination resources.

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Punjab Education, Curriculum, Training and Assessment Authority

SMART SYLLABUS / ACCELERATED LEARNING PROGRAMME (ALP)-
DELETED TOPICS AND EXERCISE QUESTIONS OF MATHEMATICS-11

To facilitate students, the content of Mathematics-11 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 Syllabus (ALP) is provided below. It clearly specifies the exercises, examples, and questions excluded from Mathematics-11 for the BISE Annual Examination-2027. Teachers and students are advised to follow this Smart Syllabus (ALP) for effective teaching, learning, and exam preparation.

Name of the UnitExcluded Content & Questions of Mathematics-11
1
Complex Numbers
  • 1.4.1 The Polar Form of a Complex Number, Operations on Complex Numbers in Polar Form, Examples 12 to 16; Pages # 15 to 18.
  • 1.5 Complex Numbers in the Real World, Examples 17 & 18; Pages # 19 to 20.
  • Exercise # 1.5: Q # 2 to Q # 22; Pages # 20 to 21.
2
Functions and Graphs
  • 2.5 Real Life Applications, Examples 12 & 13; Pages # 31 to 32.
  • Exercise # 2.2: Q # 4 & Q # 5; Page # 33.
3
Theory of Quadratic Functions
  • 3.5 Real World Problems of Quadratic Equations and Inequalities, Examples 9 & 10; Pages # 41 to 42.
  • Exercise # 3.2, Q # 2 to Q # 7; Page # 43.
4
Matrices and Determinants
  • 4.6 Elementary Row Operation on a Matrix; Page # 61
  • 4.7 Echelon and Reduced Echelon Form of Matrices, Examples 8 to 10; Pages # 62 to 64.
  • 4.8 System of Non-Homogeneous Linear Equations, Example # 11; Pages # 64 to 67.
  • 4.9 System of Homogeneous Linear Equations, Examples 14 & 15; Pages # 71 to 74.
  • 4.10 Applications of Matrices in Real World, Examples 16 & 17; Pages # 74 to 76.
  • Exercise # 4.3: Q # 1, 2, 5, 6, 7, 8, 9, 10 & 11; Pages # 76 to 77.
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Name of the UnitExcluded Content & Questions of Mathematics-11
5
Partial Fractions
  • Complete unit is retained. No content and questions are deleted / excluded.
6
Sequences and Series
  • Exercise # 6.2: Q # 20, 21, 22 & 23; Page # 94.
  • Exercise # 6.3: Q # 6; Page # 95.
  • Exercise # 6.4: Q # 17, 18 & 19; Page # 99.
  • Exercise # 6.5: Q # 7, 8, 9, 10 & 14; Page # 102.
  • Exercise # 6.6: Q # 7 & 8; Page # 104.
  • Exercise # 6.7: Q # 6; Page # 105.
  • 6.8 Arithmetico-Geometric Progression, Example 19, Examples 20 & 21; Pages # 106 to 109.
  • Exercise # 6.8 (Complete); Pages # 109 to 110.
  • Exercise # 6.9: Q # 13, 14, 15, 16, 17 & 18; Page # 114.
  • 6.11 Real Life Problems involving Sequences and Series, Examples 27 to 31; Pages # 117 to 120.
  • Exercise # 6.11 (Complete); Pages # 121 to 122.
7
Permutations and Combinations
  • Exercise # 7.2: Q # 6, 9 & 11; Page # 129.
  • Exercise # 7.3: Q # 9, 10 & 11; Page # 132.
  • Exercise # 7.4: Q # 4, 5, 6, 17 & 18; Pages # 138 to 139.
8
Mathematical Induction and Binomial Theorem
Complete unit is deleted / excluded.
9
Division of Polynomials
  • Complete unit is retained. No content and questions are deleted / excluded.
10
Trigonometric Identities
  • 10.6 Triple Angle Identities, Pages # 192 to 193.
  • Exercise # 10.3, Q # 2 (viii, ix, x & xii), Q # 5; Pages # 194 to 195.
  • Exercise # 10.4, Q # 6, 7, 8, 9 &10; Page # 199.
11
Trigonometric Functions and their Graphs
  • 11.4.1 Graph of Trigonometric Functions; Pages # 205 to 206.
  • 11.4.2 Graph of y = sin x; Pages # 206 to 207.
  • 11.4.3 Graph of y = cos x; Pages # 207 to 209.
  • 11.4.4 Graph of y = tan x; Pages # 209 to 210.
  • Exercise # 11.2 (Complete); Page # 211.
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Name of the UnitExcluded Content & Questions of Mathematics-11
12
Limit and Continuity
  • 12.4 Application of Transcendental Functions to Limits and Continuity on Real World Problems, Examples 14 to 17; Pages # 234 to 235.
  • Exercise # 12.3 (Complete); Pages # 235 to 236.
13
Differentiations
  • 13.7 Applications of Differentiation, Examples 12 to 15; Pages # 255 to 256.
  • Exercise # 13.3 (Complete); Pages # 256 to 257.
14
Vectors in Space
  • Exercise # 14.1: Q # 9 & 10; Page # 266.
  • Exercise # 14.2: Q # 7, 8 & 12; Page # 274.
  • 14.4 Scalar Triple Product, Examples 23 to 31; Pages # 283 to 288.
  • Exercise # 14.4 (Complete); Pages # 289 to 290.
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Punjab Education, Curriculum, Training & Assessment Authority

INSTRUCTIONS FOR PREPARATION OF EXAM PAPER OF SMART SYLLABUS (ALP) OF MATHEMATICS GRADE-11
FOR ANNUAL EXAM-2027

The paper of Mathematics for Grade-11 will carry 100 marks.
Objective Type = 20 + Subjective Type = 80 marks.
Timing of the paper will be 3 hours.
(Objective Type = 30 minutes + Subjective Type = 2:30 hours)

All questions will be selected from the entire content of Mathematics-11 textbook. The paper will be made as per following details:

Objective:

Q-1: 20 Multiple Choice Questions from entire content of the textbook. The detail is as follows:

Unit No.123456791011121314
No. of MCQs2112122121122
1 × 20 = 20

Part-I: Subjective

This section contains three short questions from entire content of the textbook. The details are as follows:

Q-2: 8 short answer questions have to be answered out of 12. The detail is as follows:

Unit No.12345Marks
No. of Short Questions per unit422312 × 8 = 16

Q-3: 8 short answer questions have to be answered out of 12. The detail is as follows:

Unit No.67910Marks
No. of Short Questions per unit43232 × 8 = 16

Q-4: 9 short answer questions have to be answered out of 13. The detail is as follows:

Unit No.11121314Marks
No. of Short Questions per unit23442 × 9 = 18
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Part-II:
Subjective:

This section contains five long questions from the entire content of the textbook. Each question carries 10 marks. These questions will be bifurcated in two-parts a & b (carrying 5 marks each). Students must attempt any three questions. The details are as follows:

Q-5:

(a) One long question will be asked from unit 1.

(b) One long question will be asked either from unit 2 or unit 3.

Q-6:

(a) One long question will be asked from unit 4.

(b) One long question will be asked either from unit 5 or unit 9.

Q-7:

(a) One long question will be asked from unit 6.

(b) One long question will be asked from unit 7.

Q-8:

(a) One long question will be asked from unit 10.

(b) One long question will be asked from unit 12.

Q-9:

(a) One long question will be asked from unit 13.

(b) One long question will be asked from unit 14.

3 × (5 + 5) = 30
786Times • Mathematics-11 Smart Syllabus (ALP) & Pairing Scheme • Annual Exam-2027

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