Mathematics Formulas for CBSE Class 10, 2025: Covers All Topics and Chapters
In the upcoming academic year, students of CBSE Class 10 will be introduced to a wealth of mathematical concepts. Here's a roundup of some essential formulas for each chapter based on the 2025-26 curriculum.
Chapter 1 - Real Numbers
- Types of numbers: Natural Numbers (N = {1, 2, 3, ...}), Whole Numbers (W = {0, 1, 2, ...}), Rational Numbers (Numbers that can be expressed as a/b, b ≠ 0), Real Numbers (all points on the number line)
- LCM and HCF relations for three numbers P, Q, R: [ \text{LCM}(P, Q, R) = \frac{P \cdot Q \cdot R \cdot \text{HCF}(P,Q) \cdot \text{HCF}(Q,R) \cdot \text{HCF}(P,R)}{\text{HCF}(P,Q) \cdot \text{HCF}(Q,R) \cdot \text{HCF}(P,R)} ] [ \text{HCF}(P, Q, R) = \frac{P \cdot Q \cdot R \cdot \text{LCM}(P,Q) \cdot \text{LCM}(Q,R) \cdot \text{LCM}(P,R)}{\text{LCM}(P,Q) \cdot \text{LCM}(Q,R) \cdot \text{LCM}(P,R)} ]
Chapter 2 - Polynomials
- Polynomial standard forms and identities: Sum and difference of cubes, Square of a binomial, Product of sum and difference, Relationship between zeros and coefficients of a quadratic polynomial
Chapter 3 - Pair of Linear Equations in Two Variables
- General form, Methods to solve, Condition for unique, infinite or no solutions
Chapter 4 - Quadratic Equations
- Standard form, Roots formula, Sum and product of roots
Chapter on Trigonometry (common formulas)
- Basic identities, Reciprocal relations for trigonometric functions, Section Formula
Other chapters such as mensuration, probability, and statistics also have key formulas like surface area and volume of 3D shapes, probability formulas, and mean/median/mode calculations. For detailed formula sheets including examples and tips, students can refer to dedicated CBSE resources or educational websites.
If you need formulas for a specific chapter from the Class 10 Maths syllabus, feel free to ask! Additionally, formulas for finding the mid-point of a line segment, distance of a point from the origin, and various trigonometric functions for angles other than 90 degrees are also essential for your studies. Happy learning!
Education and self-development are crucial for mastering the upcoming Class 10 math curriculum, with learning intricate formulas and equations to be a significant part of that journey. For instance, understanding the LCM and HCF relations in Chapter 1, or the basic identities and reciprocal relations in the chapter on Trigonometry, are indispensable for success.
