Mathematics
Algebra, Percentages, Fractions, Sequences, Matrices, Vectors & Statistics. All computations happen instantly in your browser with zero latency and zero data transmitted to servers.
Percentage Calculator
Calculate what X% of Y is, percentage relationships, and parts of a whole with step-by-step breakdown.
Percentage Increase Calculator
Calculate the new value after increasing an initial number by a specified percentage.
Percentage Change Calculator
Calculate the percentage change (growth or decline) between an old value and a new value.
Fraction Calculator
Add, subtract, multiply, and divide two fractions with automatic reduction and decimal conversion.
Ratio Calculator
Solve proportions A : B = C : D and simplify arbitrary numerical ratios into lowest integers.
Average Calculator
Calculate the arithmetic mean, median, range, and sum of comma-separated numbers.
Exponent Calculator (Powers)
Calculate base raised to any integer or fractional power with scientific notation formatting.
Square Root & Nth Root Calculator
Calculate the square root, cube root, or any nth root of a positive real number.
GCD / HCF Calculator
Find the Greatest Common Divisor (GCD) / Highest Common Factor (HCF) of two positive integers.
LCM Calculator
Calculate the Least Common Multiple (LCM) of two positive integers.
Basic Calculator
Perform standard addition, subtraction, multiplication, and division arithmetic.
Scientific Calculator
Calculate trigonometric functions (sin, cos, tan), natural and base-10 logarithms, and exponentials.
Standard Deviation & Variance Calculator
Compute sample and population standard deviation, variance, mean, and sum of squares for any data set.
Probability Calculator (Permutations & Combinations)
Calculate permutations nPr and combinations nCr for choosing r items out of n possibilities.
Random Number Generator
Generate pseudo-random integers uniformly distributed within any defined minimum and maximum range.
Quadratic Equation Solver
Solve ax² + bx + c = 0 to find real or complex roots and discriminant.
Linear Equation Solver (ax + b = c)
Solve simple single-variable linear equations ax + b = c instantly.
System of 2 Linear Equations Solver
Solve system of two linear equations: a₁x + b₁y = c₁ and a₂x + b₂y = c₂ via Cramer's rule.
Arithmetic Sequence Calculator
Calculate the nth term and the sum of the first n terms of an arithmetic progression.
Geometric Sequence Calculator
Calculate the nth term and sum of terms of a geometric progression.
Fibonacci Sequence Calculator
Calculate the nth Fibonacci number F(n) using Binet's golden ratio formula.
Golden Ratio Calculator
Calculate golden ratio dimensions (A : B = 1.618033...) for art, design, and architecture.
Factorial Calculator (n!)
Calculate factorial n! and Stirling's approximation for large integers.
Prime Number Checker & Factorizer
Test whether a number is prime and compute its smallest divisor.
2x2 Matrix Determinant Calculator
Calculate determinant det(A) = ad - bc of a 2×2 matrix.
2D Vector Dot Product Calculator
Calculate dot product u·v = u₁v₁ + u₂v₂ and angle between two 2D vectors.
Z-Score Calculator
Compute Z = (X − μ) / σ to evaluate standard deviations from the mean.
Confidence Interval Calculator
Calculate 95% confidence interval for sample mean X̄ ± 1.96(s/√n).
Pearson Correlation (r) Quick Estimator
Estimate linear correlation strength between variables X and Y.
Polynomial Term Evaluator
Evaluate polynomial term c × x^p for any coefficient c, variable x, and power p.
Modulo & Remainder Calculator
Calculate integer quotient, remainder, and modular congruence of a divided by b.
Everyday Mathematics & Academic Problem Solving
Mathematics forms the foundation for solving everyday puzzles, from calculating school test marks and exam percentages to understanding ratios, fractions, and sequences. This toolkit gives you instant, step-by-step solutions that explain not just the answer, but the mathematical journey behind it.
What You Can Calculate in This Hub
Popular Problem-Solving Workflows
Academic Score & Proportion Workflow
Convert test marks to percentages and calculate ratios between two groups.
Core Algebra & Equation Solving
Find roots of quadratic equations and evaluate linear relationships step-by-step.
- •To convert a decimal to a percentage, simply move the decimal point two spots to the right (e.g., 0.85 becomes 85%).
- •Remember the order of operations (PEMDAS): parentheses and powers first, then multiplication and division, followed by addition and subtraction.
A percentage simply tells you how many parts out of 100 you have. If a test has 50 questions and you get 40 right, you got 80 out of 100, which is 80%!
How to Calculate Percentage: Formulas, Step-by-Step Math & Practical Examples
A complete authoritative guide to computing proportions, percentage differences, markups, discounts, and reverse percentages.