Maths Formulas for Class 9 are essential for building a strong base for higher classes. Mastering important formulas in chapters like Number Systems, Polynomials, Linear Equations, and Geometry can boost your marks and confidence. Here's a complete chapter-wise list of Class 9 Maths formulas with brief explanations and examples.
Maths Formulas for Class 9 help you solve complex problems faster. In exams like CBSE, formulas save time and reduce silly mistakes. Learning all important formulas chapter-wise also prepares you for Class 10 board exams. Below, you will find all chapters' formulas explained with tips and tricks.
Table of Contents
- Chapter 1: Number Systems Formulas
- Chapter 2: Polynomials Formulas
- Chapter 3: Coordinate Geometry Formulas
- Chapter 4: Linear Equations in Two Variables Formulas
- Chapter 5: Introduction to Euclid's Geometry Formulas
- How to Learn Maths Formulas Fast?
- FAQs
Chapter 1: Number Systems Formulas
| Formula | Explanation |
|---|---|
| am × an = am+n | When multiplying two powers with the same base, add their exponents. Example: 2³ × 2² = 2⁵ = 32 |
| (am)n = am×n | When raising a power to another power, multiply the exponents. Example: (3²)³ = 3⁶ = 729 |
| am ÷ an = am−n | When dividing powers with the same base, subtract the exponents. Example: 5⁵ ÷ 5² = 5³ = 125 |
| (ab)m = ambm | When multiplying two numbers inside a bracket raised to a power, distribute the power to each number. Example: (2×3)² = 2²×3² = 4×9 = 36 |
| (a/b)m = am/bm | When dividing two numbers inside a bracket raised to a power, apply the power separately to numerator and denominator. Example: (4/2)² = 4²/2² = 16/4 = 4 |
| a⁰ = 1 | Any non-zero number raised to the power 0 is always 1. Example: 7⁰ = 1 |
Tip to Remember:
Always check if the bases are the same before applying exponents rules. Simplify powers step-by-step to avoid mistakes.
Maths Formulas for Class 9 are essential for building a strong base for higher classes. Mastering important formulas in chapters like Number Systems, Polynomials, Linear Equations, and Geometry can boost your marks and confidence. Here's a complete chapter-wise list of Class 9 Maths formulas with brief explanations and examples.
Maths Formulas for Class 9 help you solve complex problems faster. In exams like CBSE, formulas save time and reduce silly mistakes. Learning all important formulas chapter-wise also prepares you for Class 10 board exams. Below, you will find all chapters' formulas explained with tips and tricks.
Table of Contents
- Chapter 1: Number Systems Formulas
- Chapter 2: Polynomials Formulas
- Chapter 3: Coordinate Geometry Formulas
- Chapter 4: Linear Equations in Two Variables Formulas
- Chapter 5: Introduction to Euclid's Geometry Formulas
- How to Learn Maths Formulas Fast?
- FAQs
Chapter 1: Number Systems Formulas
| Formula | Explanation |
|---|---|
| am × an = am+n | When multiplying two powers with the same base, add their exponents. Example: 2³ × 2² = 2⁵ = 32 |
| (am)n = am×n | When raising a power to another power, multiply the exponents. Example: (3²)³ = 3⁶ = 729 |
| am ÷ an = am−n | When dividing powers with the same base, subtract the exponents. Example: 5⁵ ÷ 5² = 5³ = 125 |
| (ab)m = ambm | When multiplying two numbers inside a bracket raised to a power, distribute the power to each number. Example: (2×3)² = 2²×3² = 4×9 = 36 |
| (a/b)m = am/bm | When dividing two numbers inside a bracket raised to a power, apply the power separately to numerator and denominator. Example: (4/2)² = 4²/2² = 16/4 = 4 |
| a⁰ = 1 | Any non-zero number raised to the power 0 is always 1. Example: 7⁰ = 1 |
Tip to Remember:
Always check if the bases are the same before applying exponents rules. Simplify powers step-by-step to avoid mistakes.
Chapter 2: Polynomials Formulas
| Formula | Explanation |
|---|---|
| Degree of a Polynomial | The highest power of the variable in a polynomial. Example: In 5x³ + 2x² + 7, degree = 3 |
| Linear Polynomial | Polynomial of degree 1. General form: ax + b. Example: 2x + 3 |
| Quadratic Polynomial | Polynomial of degree 2. General form: ax² + bx + c. Example: x² + 2x + 1 |
| Cubic Polynomial | Polynomial of degree 3. General form: ax³ + bx² + cx + d. Example: x³ − 6x² + 11x − 6 |
| Value of a Polynomial | Substituting the value of variable into the polynomial. Example: For p(x) = x² + 2, p(3) = 9 + 2 = 11 |
| Factorization of Polynomials | Breaking a polynomial into irreducible factors. Example: x² − 9 = (x+3)(x−3) |
Chapter 3: Coordinate Geometry Formulas
| Formula | Explanation |
|---|---|
| Distance Formula | Distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂−x₁)² + (y₂−y₁)²]. Example: (0,0) and (3,4) → √(9+16)=5 |
| Section Formula (Internal Division) | Point dividing line internally in ratio m:n is ((mx₂ + nx₁)/(m+n), (my₂ + ny₁)/(m+n)). Example: Ratio 1:1 between (2,3) and (4,7) → (3,5) |
| Midpoint Formula | Midpoint = ((x₁+x₂)/2 , (y₁+y₂)/2). Example: Midpoint of (1,5) and (3,9) = (2,7) |
Chapter 4: Linear Equations in Two Variables Formulas
| Formula | Explanation |
|---|---|
| General Form | ax + by + c = 0 where a, b ≠ 0. Example: 2x + 3y − 6 = 0 |
| Solution of Linear Equation | Any ordered pair (x, y) that satisfies the equation. Example: (0,2) satisfies x + 2y = 4 |
| Graph of Linear Equation | Always a straight line. Tip: Find at least two points to draw. |
Chapter 5: Introduction to Euclid's Geometry
| Term | Explanation |
|---|---|
| Point | That which has no part (size or dimension). |
| Line | Length without breadth; extends infinitely in both directions. |
| Plane | A flat surface that extends infinitely in all directions. |
| Postulates | Basic assumptions accepted without proof. Example: A straight line can be drawn joining any two points. |
| Common Notions | General truths like: "Things equal to the same thing are equal to each other." |
How to Learn Maths Formulas for Class 9 Easily?
Learning maths formulas for class 9 becomes easier with the right strategy. Follow these tips to master them:
- Understand the Concept: Don’t just memorize, understand why the formula works.
- Daily Practice: Revise important formulas every day for 15 minutes.
- Use Flashcards: Make small formula cards and revise them quickly.
- Apply Formulas: Solve questions by applying formulas. Application improves memory.
- Make a Formula Chart: Stick a big chart of important formulas near your study table.
- Group Formulas: Learn formulas chapter-wise or topic-wise to avoid confusion.
- Teach Someone: Explaining formulas to your friend will make you remember better!
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FAQs on Maths Formulas for Class 9
Q1. How can I easily memorize maths formulas for Class 9?
Practice daily, use flashcards, and apply formulas in problems to memorize them easily.
Q2. What is the most important formula in Class 9 Maths?
Formulas like Distance Formula, Surface Areas, and Volume formulas are very important in Class 9 Maths.
Q3. Where can I find all Class 9 Maths Formulas chapter-wise?
You can find all Class 9 Maths formulas chapter-wise with explanation on this page itself.
Q4. How to revise Class 9 Maths Formulas before exam?
Make a formula chart, solve examples, and revise formulas daily to quickly revise before exams.
Q5. Is it necessary to memorize derivations along with formulas?
Yes, understanding derivations helps you recall the formulas better during exams and builds concept clarity.
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