Mathematics
Class 9
Mathematics for Class 9 (Matric Part 1, Class 9), Punjab board, following the new PECTAA book: notes, key terms, solved examples, short questions and MCQs, explained in English, Urdu and Roman Urdu. Every open lesson is free. A chapter with no lesson yet says Coming soon.
Start · Introduction to real numbersChapters
- Chapter 1Real Numbers≈ 140 min
- 1.1Introduction to real numbersNot startedAbout 20 minStart →
- 1.1.2Decimal representation of rational and irrational numbersNot startedAbout 20 minStart →
- 1.1.4Rational and irrational numbers on the number lineNot startedAbout 20 minStart →
- 1.1.5Properties of real numbersNot startedAbout 20 minStart →
- 1.2Radical expressions: laws of radicals and indicesNot startedAbout 20 minStart →
- 1.2.2Surds and rationalization of the denominatorNot startedAbout 20 minStart →
- 1.3Application of real numbers in daily lifeNot startedAbout 20 minStart →
- Chapter 2Logarithms≈ 100 min
- Chapter 3Sets and FunctionsComing soon
- Chapter 4Factorization and Algebraic ManipulationComing soon
- Chapter 5Linear Equations and InequalitiesComing soon
- Chapter 6TrigonometryComing soon
- Chapter 7Coordinate GeometryComing soon
- Chapter 8LogicComing soon
- Chapter 9Similar FiguresComing soon
- Chapter 10Graphs of FunctionsComing soon
- Chapter 11Loci and ConstructionComing soon
- Chapter 12Information HandlingComing soon
A taste of the free chapter
1.1 Introduction to real numbers: from Sumerian tokens to R = Q ∪ Q′
Real numbers are the union of two sets: R = Q ∪ Q′. Every real number is either rational or irrational, never both.
Try one MCQ
The Sumerians counted in base:
- (a) 2
- (b) 10
- (c) 16
- (d) 60
Show answer
(d) Sexagesimal means base 60 (p. 1).
How every lesson works
- Read: the problem first, then the one rule that solves it.
- Key terms: four ideas the board asks about, each with a “why”.
- Try it: an interactive you can play with, and a question you answer on screen.
- Model answers: board-style questions solved line by line.
- Common mistakes: the traps that cost marks every year.
- MCQs: five questions, each with the reason behind the answer.
- Quick revision: three points to remember before the exam.
What comes next
- Every chapter of all 7 subjects of your year: Chemistry, Physics, Biology, Maths, Computer Science, English and Urdu.
- Notes, model answers, common mistakes and MCQs for every lesson.
- Every step in English, Urdu and Roman Urdu; switch any time.
- More chapters of the new PECTAA books, added one by one as each is checked against the book.
Every open lesson is free. The rest is coming soon.
More chapters: coming soon
One book, all nine Punjab boards
The same Punjab textbook is used by the boards of Lahore, Rawalpindi, Gujranwala, Faisalabad, Multan, Sargodha, Bahawalpur, Dera Ghazi Khan, Sahiwal. These notes fit your board too.
Questions students ask
- Are the lessons really free?
- Yes. Every lesson that is open is free for everyone, with all its notes, model answers and MCQs. No sign-up needed to read it.
- What about the other chapters?
- They are listed in the order of the new PECTAA book and say Coming soon. We add them one by one, each checked against the book.
- Does it match my board?
- Yes. All nine Punjab boards use the same Punjab textbook, so the chapters, questions and MCQs here fit Lahore, Rawalpindi, Multan and every other Punjab board.
- Can I study in Urdu?
- Yes. Every explanation is in English, Urdu and Roman Urdu. Science terms stay in English, as they appear in your exam paper.