Formula Library
62 formulas students use most, each with what every symbol means, when it applies, and a solved example. This library is a reference: it explains formulas. Interactive calculations are only available where a formula links to a Mathover tool.
62 found
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Arithmetic formulas
- Percentage of a quantity
- Percentage change
- Sharing in a ratio
- Adding fractions
- LCM × HCF = product
- Simple interest
x²
Algebra formulas
- Solving a linear equation
- Quadratic formula
- Discriminant
- Distance between two points
- Midpoint of a line segment
- Slope (gradient) of a line
- Equation of a straight line
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Geometry formulas
- Area of a rectangle
- Perimeter of a rectangle
- Area and perimeter of a square
- Area of a circle
- Circumference of a circle
- Area of a triangle
- Perimeter of a triangle and the triangle inequality
- Heron's formula
- Pythagoras' theorem
- Area of a trapezium (trapezoid)
- Volume of a cuboid
- Surface area of a cuboid
- Volume of a cylinder
- Surface area of a cylinder
- Volume of a sphere
- Surface area of a sphere
- Volume of a cone
θ
Trigonometry formulas
Open Trigonometry →σ
Statistics formulas
- Arithmetic mean
- Median
- Range
- Population variance and standard deviation
- Sample variance and standard deviation
P
Probability formulas
- Basic probability
- Complement rule
- Independent events (AND)
- Mutually exclusive events (OR)
- General addition rule
- Permutations
- Combinations
- Binomial probability
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Calculus formulas
- Power rule (derivatives)
- Product rule
- Quotient rule
- Chain rule
- Standard derivatives
- Power rule (integrals)
- Integral of 1/x
- Definite integral
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Matrices formulas
- Determinant of a 2 × 2 matrix
- Determinant of a 3 × 3 matrix
- Inverse of a 2 × 2 matrix
- Matrix multiplication