جنرل میتھ( ریاضی) کتاب برائے کلاس 10 خیبر پختونخواہ ٹکسٹ بک بورڈ
Download the official General Mathematics textbook for 10th Class as prescribed by the Khyber Pakhtunkhwa (KPK) Textbook Board. This comprehensive book covers essential topics such as Algebra, Geometry, Matrices, Quadratic Equations, and Coordinate Geometry. Ideal for students, teachers, and anyone preparing for exams.
📚 Chapters and Topics Explained
1. Algebraic Formulae and Applications
- Introduction to key formulas like (a+b)2(a + b)^2(a+b)2, (a−b)2(a – b)^2(a−b)2, and a2−b2a^2 – b^2a2−b2.
- Application of these formulas in word problems and algebraic expressions.
2. Factorization
- Breaking down algebraic expressions into factors.
- Methods: common factor, grouping, difference of squares, and perfect square trinomials.
3. Algebraic Manipulation
- Simplifying expressions using addition, subtraction, multiplication, and division.
- Removing brackets and rewriting expressions in standard form.
4. Linear Equations and Inequalities
- Solving linear equations with one or two variables.
- Representing equations and inequalities graphically.
5. Quadratic Equations
- Understanding and solving quadratic equations.
- Methods: factorization, completing the square, and using the quadratic formula.
- Real and complex roots explained.
6. Matrices and Determinants
- Basics of matrices: types, addition, subtraction, multiplication.
- 2×2 determinants and their uses in solving equations.
7. Fundamentals of Geometry
- Concepts of points, lines, angles, and types of triangles.
- Basic postulates and theorems of geometry.
8. Practical Geometry
- Drawing geometric figures like angles, triangles, and circles using instruments.
- Skill-building through practical constructions.
9. Areas and Volumes
- Area and volume formulas for square, rectangle, circle, cube, cone, and cylinder.
- Real-life applications in calculating space and capacity.
10. Introduction to Coordinate Geometry
- Cartesian coordinate system, plotting points, and finding distance between points.
- Finding midpoints and basic line concepts.
11. Answers Section
- Provides solved answers to all exercises.
- Allows students to verify their work and practice independently.
📚 Importance of General Mathematics Book
For Students:
- Provides a complete syllabus covering all essential math topics for 10th grade.
- Helps build strong foundations in algebra, geometry, and other mathematical concepts.
- Essential for board exam preparation and competitive exams.
For Teachers:
- Structured content with exercises and examples to aid teaching.
- Clear explanations help in effective classroom delivery.
- Ready resource for assessments and classwork.
For Job Seekers and General Knowledge:
- Strong math fundamentals are vital for various jobs, including teaching and technical roles.
- Helpful for exams like NTS, ETEA, KPPSC, and other competitive tests.
- Improves problem-solving and analytical skills.