Math Formulas – Complete Guide to All Important Math Formulas
Math formulas are the foundation of mathematics and are used to solve problems in arithmetic, algebra, and geometry. This guide includes basic math formulas, algebra formulas, geometry formulas, the percentage formula, and the average formula with simple examples.
You can use these formulas with our free Math Calculators to get instant results online.
Basic Math Formulas
- Addition: a + b
- Subtraction: a − b
- Multiplication: a × b
- Division: a ÷ b
Percentage Formula
Percentage = (Value ÷ Total) × 100
Example: What is 25% of 200? → (25 ÷ 100) × 200 = 50
Average Formula
Average = (Sum of values) ÷ (Number of values)
Example: Average of 4, 8, and 12 = (4 + 8 + 12) ÷ 3 = 8
Algebra Formulas
- (a + b)² = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- a² − b² = (a − b)(a + b)
Linear Equation
ax + b = 0 → x = −b ÷ a
Geometry Formulas
Area
- Square: side²
- Rectangle: length × width
- Triangle: ½ × base × height
- Circle: π × r²
Perimeter
- Square: 4 × side
- Rectangle: 2(length + width)
- Circle: 2πr
Why Math Formulas Matter
Math formulas make problem solving faster and more accurate in school, business, engineering, and everyday life. Use our calculators to save time and avoid mistakes.