09
Matric Part 1
Class 9th Mathematics
Science & Arts Groups (PTB)
Unit 1 Matrices, Real Numbers, Logarithms, Algebraic Formulas, and Compulsory Circle/Triangle Theorems.
Concepts • Practice • Mastery — Punjab Boards
Punjab Board Mathematics, made clear.
Math with Farooq Abid
Step-by-step conceptual explanations, solved PTB textbook exercises, compulsory board theorems, pairing schemes, and 5-year past paper solutions for Class 9, Class 10, 1st Year and 2nd Year (FSc / ICS) learners.
✓ Solved PTB exercises & theorems
✓ All 9 Punjab Boards (Lahore, Gujranwala, Rwp...)
✓ 2025 Pairing schemes & solved past papers
Punjab Curriculum & Textbook Board (PTB)
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Punjab Board Curriculum
Class 9 → Class 10 → 1st Year (11th) → 2nd Year (12th)
Select your class level to access chapter-wise notes, solved textbook exercises, compulsory board theorems, and 5-year past papers.
10
Matric Part 2
Class 10th Mathematics
Science & Arts Groups (PTB)
Quadratic Equations, Variations, Partial Fractions, Basic Statistics, Trigonometry, and Circle Geometry Theorems.
11
Intermediate Part 1
1st Year Mathematics (11th)
FSc Pre-Engineering & ICS
Number Systems, Matrices & Determinants (Ch 3), Quadratic Equations, Sequences & Series, and Trigonometry (Ch 9–14).
12
Intermediate Part 2
2nd Year Mathematics (12th)
Calculus & Analytic Geometry
Functions & Limits, Differentiation (Ch 2), Integration (Ch 3), Analytic Geometry (Ch 4), Conic Sections, and Vectors.
BS
Undergraduate Programs
University Mathematics (BS / ADP)
Punjab University (PU), UET, GCU, NUST, FAST
Calculus I & II, Multivariable Calculus, Linear Algebra, ODEs, and Discrete Mathematics for BS Math, CS & Engineering.
BISE
Schemes & Entrance
Pairing Schemes & ECAT
Official 2025 question paper pairing schemes for all 9 boards, plus speed tactics and problem sets for UET Lahore ECAT and NUST NET.
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Punjab Boards Coverage
Targeting 75/75 in Matric & 100/100 in Intermediate?
Structured test sessions, paper presentation techniques, formula booklets and step-by-step theorem proofs tailored for BISE Lahore, Rawalpindi, Gujranwala, Faisalabad, Multan, Sargodha, Sahiwal, Bahawalpur and DG Khan.
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PTB Chapter Notes
Comprehensive definitions, derivations, formulas and chapter summaries.
Video Lessons
Step-by-step whiteboard explanations for tricky questions and theorem proofs.
Exercise Practice
Carefully selected questions from textbook exercises with complete solutions.
Pairing Schemes
Official 2025 exam patterns, objective marks breakdown and question pairing.
Solved Past Papers
5-Year solved board papers from BISE Lahore, Gujranwala, Rawalpindi & Faisalabad.
Punjab Board Flagship Topic
Featured Mathematics Masterclass
Explore our complete study masterclass for Matrices & Determinants (Class 9th Unit 1 & 1st Year Chapter 3) with KaTeX formulas, Cramer's Rule, and solved board questions.
⭐ High-Frequency Board Exam Topic
Unit 1 & Chapter 3: Matrices & Determinants
Guaranteed long questions in both Matric and Intermediate Punjab Board exams. Master Matrix Inversion Method, Cramer's Rule, $2\times 2$ & $3\times 3$ Determinants, and Adjoints.
1. Order & Types of Matrices
2. Matrix Addition & Multiplication
3. Determinant & Singular Matrices
4. Cramer's Rule (Compulsory Long Q) ★
5. Matrix Inversion Method ($X=A^{-1}B$) ★
6. 1st Year: $3\times 3$ Inverses & Cofactors
7. Echelon & Reduced Echelon Form
Inside the Punjab Board Guide
- ✓ All Matrix Definitions for 2-mark short questions
- ✓ Matrix Inversion Method: step-by-step worked steps
- ✓ Cramer's Rule: $|A|$, $|A_x|$, $|A_y|$ full calculation
- ✓ Non-singular verification step ($|A| \neq 0$)
- ✓ Correct Solution Set $\{ (x, y) \}$ formatting
- ✓ 1st Year Chapter 3 Properties of Determinants
- ✓ 5-Year Past Paper Solved Questions from BISE Lahore & Gujranwala
Matrices, Real Numbers & Compulsory Theorems
Cramer's rule, quadratic equations, variations, and Chapter 12/9 compulsory 8-mark geometry theorems.
View Matric resources →Differentiation & Integration Master Notes
1st & 2nd Year complete notes: Trigonometric identities, calculus derivatives, integration, and analytic geometry.
View Intermediate resources →BS Mathematics: Calculus & Linear Algebra
Undergraduate vector spaces, matrix eigenvalues, multivariable calculus, ODEs, and discrete math for BS programs.
View BS University resources →Punjab Board Coaching & Batches
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Exam Intensive
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Intensive test session targeting 100% marks in BISE Matric and Intermediate annual exams.
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About Farooq Abid
Mathematics is not memorisation. It is a way of thinking.
I am Farooq Abid, a dedicated mathematics educator, PhD scholar and researcher committed to helping students replace rote learning with genuine mathematical intuition and exam confidence.
My teaching methodology breaks textbook exercises, algebraic derivations, and complex geometric theorems into logical, intuitive steps. When students understand the why behind every rule, tackling tricky board exam questions becomes natural and straightforward.
Having mentored thousands of students across Class 9, Class 10, 1st Year, 2nd Year, and university mathematics, our study resources and live classes empower you to achieve your highest academic potential.
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Ready to score top marks in your Punjab Board exams?
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