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Mathematics — Class 10 — Solved Notes & Q&A

Free solved chapter notes for Mathematics — Class 10 · All Pakistan BISE boards · ← all books

Solved exercises, key formulas and step-by-step Q&A for matric Mathematics. These notes are free for every student — read them online, no login needed. Each chapter below has a summary and solved questions & answers. Use the chapter list to jump straight to the chapter you need.

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Chapters in this book (10)

  1. Chapter 1: Number Systems
  2. Chapter 2: Algebra
  3. Chapter 3: Geometry
  4. Chapter 4: Trigonometry
  5. Chapter 5: Statistics & Probability
  6. Chapter 6: Coordinate Geometry
  7. Chapter 7: Mensuration
  8. Chapter 8: Linear Equations
  9. Chapter 9: Quadratic Equations
  10. Chapter 10: Triangles & Circles

Chapter 1: Number Systems

Number Systems (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Link this answer to the chapter formula/definition and revise it daily.
Q: What is √144?Answer: 12. This is a frequently asked board-exam question from Number Systems.
Q: The sum of angles in a triangle is:Answer: 180°. Link this answer to the chapter formula/definition and revise it daily.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Number Systems: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. Link this answer to the chapter formula/definition and revise it daily.
Q: Slope of line y = 3x + 2 is:Answer: 3. Link this answer to the chapter formula/definition and revise it daily.

Chapter 2: Algebra

Algebra (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Key concept from Algebra: remember the definition and one worked example.
Q: What is √144?Answer: 12. This is a frequently asked board-exam question from Algebra.
Q: The sum of angles in a triangle is:Answer: 180°. This is a frequently asked board-exam question from Algebra.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Algebra: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. Key concept from Algebra: remember the definition and one worked example.
Q: Slope of line y = 3x + 2 is:Answer: 3. Key concept from Algebra: remember the definition and one worked example.

Chapter 3: Geometry

Geometry (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. This is a frequently asked board-exam question from Geometry.
Q: What is √144?Answer: 12. Link this answer to the chapter formula/definition and revise it daily.
Q: The sum of angles in a triangle is:Answer: 180°. Key concept from Geometry: remember the definition and one worked example.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Geometry: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. Link this answer to the chapter formula/definition and revise it daily.
Q: Slope of line y = 3x + 2 is:Answer: 3. Key concept from Geometry: remember the definition and one worked example.

Chapter 4: Trigonometry

Trigonometry (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Link this answer to the chapter formula/definition and revise it daily.
Q: What is √144?Answer: 12. Link this answer to the chapter formula/definition and revise it daily.
Q: The sum of angles in a triangle is:Answer: 180°. Link this answer to the chapter formula/definition and revise it daily.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Trigonometry: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. Link this answer to the chapter formula/definition and revise it daily.
Q: Slope of line y = 3x + 2 is:Answer: 3. Key concept from Trigonometry: remember the definition and one worked example.

Chapter 5: Statistics & Probability

Statistics & Probability (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Key concept from Statistics & Probability: remember the definition and one worked example.
Q: What is √144?Answer: 12. Key concept from Statistics & Probability: remember the definition and one worked example.
Q: The sum of angles in a triangle is:Answer: 180°. Key concept from Statistics & Probability: remember the definition and one worked example.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Statistics & Probability: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. Key concept from Statistics & Probability: remember the definition and one worked example.
Q: Slope of line y = 3x + 2 is:Answer: 3. Link this answer to the chapter formula/definition and revise it daily.

Chapter 6: Coordinate Geometry

Coordinate Geometry (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Key concept from Coordinate Geometry: remember the definition and one worked example.
Q: What is √144?Answer: 12. Key concept from Coordinate Geometry: remember the definition and one worked example.
Q: The sum of angles in a triangle is:Answer: 180°. Key concept from Coordinate Geometry: remember the definition and one worked example.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Coordinate Geometry: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. This is a frequently asked board-exam question from Coordinate Geometry.
Q: Slope of line y = 3x + 2 is:Answer: 3. Link this answer to the chapter formula/definition and revise it daily.

Chapter 7: Mensuration

Mensuration (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Key concept from Mensuration: remember the definition and one worked example.
Q: What is √144?Answer: 12. Key concept from Mensuration: remember the definition and one worked example.
Q: The sum of angles in a triangle is:Answer: 180°. Link this answer to the chapter formula/definition and revise it daily.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Link this answer to the chapter formula/definition and revise it daily.
Q: What is 15% of 200?Answer: 30. This is a frequently asked board-exam question from Mensuration.
Q: Slope of line y = 3x + 2 is:Answer: 3. This is a frequently asked board-exam question from Mensuration.

Chapter 8: Linear Equations

Linear Equations (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Link this answer to the chapter formula/definition and revise it daily.
Q: What is √144?Answer: 12. Key concept from Linear Equations: remember the definition and one worked example.
Q: The sum of angles in a triangle is:Answer: 180°. This is a frequently asked board-exam question from Linear Equations.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Link this answer to the chapter formula/definition and revise it daily.
Q: What is 15% of 200?Answer: 30. This is a frequently asked board-exam question from Linear Equations.
Q: Slope of line y = 3x + 2 is:Answer: 3. Link this answer to the chapter formula/definition and revise it daily.

Chapter 9: Quadratic Equations

Quadratic Equations (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. Link this answer to the chapter formula/definition and revise it daily.
Q: What is √144?Answer: 12. Key concept from Quadratic Equations: remember the definition and one worked example.
Q: The sum of angles in a triangle is:Answer: 180°. This is a frequently asked board-exam question from Quadratic Equations.
Q: Factorize: x² − 9Answer: (x−3)(x+3). Key concept from Quadratic Equations: remember the definition and one worked example.
Q: What is 15% of 200?Answer: 30. Key concept from Quadratic Equations: remember the definition and one worked example.
Q: Slope of line y = 3x + 2 is:Answer: 3. This is a frequently asked board-exam question from Quadratic Equations.

Chapter 10: Triangles & Circles

Triangles & Circles (Mathematics) — key ideas solved and simplified for Class 10. Revise the Q&A below, then take the 4 chapter tests. Study with honesty — give each test in front of a parent or elder.

Solved questions & answers

Q: Solve: 2x + 6 = 18Answer: x = 6. This is a frequently asked board-exam question from Triangles & Circles.
Q: What is √144?Answer: 12. Link this answer to the chapter formula/definition and revise it daily.
Q: The sum of angles in a triangle is:Answer: 180°. Link this answer to the chapter formula/definition and revise it daily.
Q: Factorize: x² − 9Answer: (x−3)(x+3). This is a frequently asked board-exam question from Triangles & Circles.
Q: What is 15% of 200?Answer: 30. This is a frequently asked board-exam question from Triangles & Circles.
Q: Slope of line y = 3x + 2 is:Answer: 3. Key concept from Triangles & Circles: remember the definition and one worked example.
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