Mathematics
Class 10
Mathematics for Class 10 (Matric Part 2, Class 10), 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 · Complex numbers and the unit iChapters
- Chapter 1Complex Numbers≈ 200 min
- 1.1Complex numbers and the unit iNot startedAbout 20 minStart →
- 1.1.2Equality of complex numbersNot startedAbout 20 minStart →
- 1.2.1Scalar multiplication, addition and subtractionNot startedAbout 20 minStart →
- 1.2.4Multiplying and dividing complex numbersNot startedAbout 20 minStart →
- 1.2.6Properties of complex numbersNot startedAbout 20 minStart →
- 1.3The Argand plane and the conjugateNot startedAbout 20 minStart →
- 1.3.3Properties of the complex conjugateNot startedAbout 20 minStart →
- 1.4Modulus of a complex numberNot startedAbout 20 minStart →
- 1.5Real and imaginary parts of powers and quotientsNot startedAbout 20 minStart →
- 1.6Simultaneous equations with complex coefficientsNot startedAbout 20 minStart →
- Chapter 2Quadratic Equations and InequalitiesComing soon
- Chapter 3Matrices and DeterminantsComing soon
- Chapter 4Functions and GraphsComing soon
- Chapter 5Algebraic FractionsComing soon
- Chapter 7TrigonometryComing soon
- Chapter 8Chords and Arcs of a CircleComing soon
- Chapter 9Tangent and Angles of a CircleComing soon
- Chapter 10Practical Geometry of CirclesComing soon
- Chapter 11Information HandlingComing soon
- Chapter 12Title to be confirmedComing soon
A taste of the free chapter
1.1 Complex numbers and the unit i
i2 = −1. Every complex number is x + iy: a real part x and an imaginary part y, both real numbers.
Try one MCQ
i2 + i4 =
- (a) −1
- (b) 0
- (c) 1
- (d) 2
Show answer
(b) Review Q1(i) (p. 20): −1 + 1 = 0.
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.