Math & Education
Explore our collection of free math and educational calculators designed for students, teachers, and professionals. From everyday calculations like greatest common factor (GCF) and proportions to percentage increases, square roots, mixed fractions, circle geometry, and standardized test score estimators, each tool runs instantly in your browser with step-by-step working.
All Math Tools (138)
Factoring Calculator
Find prime factors of integers and factor quadratic or polynomial expressions instantly.
Ratio Calculator
Simplify ratios to lowest terms, solve equivalent proportions, and scale dimensions.
Proportion Calculator
Solve for the unknown variable in any proportion (A/B = C/D) with cross-multiplication steps.
GCF Calculator
Compute the greatest common factor (GCF/HCF/GCD) of any group of numbers with step-by-step methods.
LCM Calculator
Calculate the least common multiple (LCM) and lowest common denominator (LCD) for any set of numbers.
Average Calculator
Calculate the arithmetic average (mean), median, mode, sum, and count of any dataset.
Pythagorean Theorem Calculator
Solve right triangle hypotenuse (c) or leg lengths (a, b) using the Pythagorean formula a² + b² = c².
Standard Deviation Calculator
Calculate sample and population standard deviation, variance, mean, and margins of error.
Quadratic Formula Calculator
Solve quadratic equations ax² + bx + c = 0 with discriminant analysis, real roots, and complex numbers.
Decimal to Fraction Calculator
Convert terminating and repeating decimals to simplified fractions and mixed numbers.
Median Calculator
Calculate the median value, quartiles (Q1, Q3), and interquartile range (IQR) of any set of numbers.
Slope Calculator
Find the slope (m = Δy / Δx), angle, distance, and equation of a line passing through two coordinates.
AP Score Calculator
Estimate your Advanced Placement (AP) exam score from 1 to 5 based on multiple choice and free response points.
SAT Score Calculator
Convert raw SAT test scores into scaled section scores (200–800) and composite scores (400–1600).
APUSH Score Calculator
Calculate your AP US History (APUSH) score on the 1–5 scale from MCQ, SAQ, DBQ, and LEQ section points.
Roman Numeral Converter
Convert Arabic integers to Roman numerals (I, V, X, L, C, D, M) and Roman numerals to integers with detailed steps.
MB to GB Converter
Convert Megabytes (MB) to Gigabytes (GB) and Mebibytes (MiB) to Gibibytes (GiB) instantly.
Hex to Decimal Converter
Convert hexadecimal numbers to decimal, binary, and octal with full positional math steps.
Percentage Increase Calculator – Percent Growth
Calculate percentage growth, percent reduction, absolute change, and multiplication factor between initial and final values.
Fraction to Decimal Calculator – Convert Fractions
Convert fractions into exact decimals and percentages with recurring repeating decimal detection.
Square Root Calculator – Radicals & Simplification
Calculate principal square roots, identify perfect squares, and simplify radicals into exact a√b expressions.
Mixed Number Calculator – Add, Subtract, Multiply
Add, subtract, multiply, and divide mixed numbers with step-by-step improper fraction conversions.
Circle Area Calculator – Area, Radius, Diameter
Calculate circle area, circumference, radius, and diameter with exact π and decimal working.
Z Score Calculator – Standard Normal Distribution
Calculate standard normal z-scores, p-values, and percentile ranks from raw scores, means, and standard deviations.
Probability Calculator – Event Odds & Likelihood
Calculate single event probabilities, odds ratios, complementary chances, and independent multi-event unions and intersections.
Exponent Calculator – Powers & Scientific Notation
Calculate base numbers raised to integer, negative, and fractional powers with scientific notation formatting.
Long Division Calculator with Steps & Remainder
Solve long division step by step with quotient, remainder, and full intermediate subtraction steps.
System of Equations Calculator (2x2 Cramer's Rule)
Solve two linear equations with two unknowns step by step using Cramer's rule and determinants.
Circumference Calculator (Radius, Diameter & Area)
Calculate circle circumference, diameter, and area from any single dimension with step-by-step formulas.
Log Calculator (Logarithm Base 10, e & 2)
Calculate logarithms for any base, natural log (ln), common log (log10), and binary log with step-by-step formulas.
Scientific Notation Calculator & Converter
Convert any standard number to scientific and engineering notation with step-by-step power-of-10 explanations.
Percentage Calculator (3-in-1 Solver)
Calculate percentages, percentage values, and percentage increases or decreases with step-by-step arithmetic.
Volume Calculator (3D Geometric Solids)
Calculate volume for rectangular boxes, cylinders, spheres, cones, and cubes with multi-unit volumetric conversions.
Percentage Difference Calculator (Relative Difference)
Calculate the relative percentage difference between two numbers when neither is an initial reference baseline.
Prime Number Checker & Factorizer
Check whether any positive integer is prime or composite, with full prime factor decomposition and adjacent prime detection.
Online Grading Calculator (Easy Grader Chart)
Easy grading scale calculator for teachers and students: calculate scores, percentages, and letter grades with a quick grading chart.
ACT Score Calculator & Composite Estimator
Calculate your official ACT Composite and STEM scores from section scores with national percentile ranking.
Midpoint Calculator (2D & 3D Coordinates)
Calculate the exact midpoint coordinates and Euclidean distance between two points in 2D or 3D space.
Weighted Average Calculator (Grade & Investment)
Calculate the weighted average (weighted mean) for grades, portfolios, and statistical datasets with step-by-step arithmetic.
Matrix Calculator: Matrix Multiplication & Determinants
Perform matrix arithmetic: multiplication, addition, determinants, transposes, and matrix inversion with step-by-step working.
Trig Calculator: Sin, Cos, Tan & Inverse Trigonometry
Compute trigonometric functions (sin, cos, tan) and inverse functions with degree and radian angle toggles.
Molarity Calculator: Chemical Solution Concentration
Calculate chemical solution molarity (M), solute mass in grams, and volume in liters with step-by-step stoichiometry.
Density Calculator: Mass, Volume & Density (ρ = m / V)
Calculate density, mass, or volume with step-by-step formulas and material reference tables.
Ohm's Law Calculator: Voltage, Current, Resistance & Power
Calculate electrical voltage (V), current (amps), resistance (ohms), and power (watts) with Ohm's law circle formulas.
Chemical Equation Balancer: Balance Chemistry Reactions
Balance chemical equations and reactions with stoichiometric coefficients and atom conservation tallies.
Fraction Calculator: Add, Subtract, Multiply & Divide
Perform arithmetic on fractions with instant simplification and mixed number conversions.
Palworld Breeding Calculator: Offspring Combos & Stats
Discover offspring pals and breeding combos using the official Palworld power algorithm.
Area Calculator: 2D Shapes, Rectangles & Circles
Compute surface area and boundary perimeter for all standard 2D geometric shapes.
Percent Change Calculator: Increase & Decrease Math
Compute exact percentage increase, decrease, and relative difference between two numbers.
Integral Calculator: Definite Calculus Integration
Compute numerical definite integrals with high-order Simpson integration.
Derivative Calculator: First & Second Derivatives
Compute instantaneous rates of change, slopes, second derivatives, and tangent lines.
Right Triangle Calculator: Hypotenuse & Angles
Solve right triangle hypotenuse, angles, area, and perimeter using Pythagorean theorem.
Mean Calculator: Average, Median, Mode & Std Dev
Compute comprehensive statistical descriptive metrics including mean, median, and mode.
Cylinder Volume Calculator: Dimensions & Surface Area
Compute 3D cylinder cubic volume, lateral curved area, and total surface area.
Equation Solver: Linear & Quadratic Roots Calculator
Find exact roots for linear and quadratic equations with discriminant analysis.
FPS Calculator: PC Gaming Frame Rate Estimator
Estimate PC gaming frame rates and performance across hardware tiers and resolutions.
The Forge Calculator: Weapon Stats & Damage Output
Compute weapon enhancement scaling, critical strike chance, and enemy armor mitigation.
Circle Calculator: Radius, Diameter, Circumference & Area
Solve all circle properties (radius, diameter, circumference, area) from any single input.
Dilution Calculator: Stock Solutions (C1V1 = C2V2)
Solve stock concentration dilutions using the fundamental chemistry equation C1V1 = C2V2.
Sig Fig Calculator: Significant Figures & Notation
Count significant figures in numbers and convert to normalized scientific notation.
Limit Calculator: Calculus Left & Right Hand Limits
Evaluate left-hand, right-hand, and two-sided calculus limits with delta convergence.
Binary Calculator: Bitwise & Arithmetic Operations
Perform binary arithmetic and bitwise logic operations with hex and decimal conversions.
Cross Product Calculator: 3D Vector Math & Magnitude
Compute 3D vector cross products, orthogonal magnitudes, and angular separations.
Combination Calculator: nCr & nPr Permutations
Compute combinations (n choose r) and permutations (n pick r) without overflow.
Kinetic Energy Calculator: Joules, Velocity & Mass
Compute kinetic energy in Joules, foot-pounds, and momentum from mass and velocity.
Molar Mass Calculator: Molecular Weight & Elements
Compute chemical formula molar mass (g/mol) and element mass percentages.
Half-Life Calculator: Radioactive Decay & Elimination
Compute radioactive exponential decay, remaining quantities, and half-life durations.
Triangle Calculator
Compute all sides, angles, heights, inradius, circumradius, and area for any triangle configuration.
Fraction to Decimal Calculator
Convert any proper, improper, or mixed fraction to decimal with repeating cycle notation.
Inverse Matrix Calculator
Calculate the mathematical inverse and determinant of 2x2 and 3x3 matrices with exact fractions.
RREF Matrix Calculator
Compute Reduced Row Echelon Form (RREF) using step-by-step Gauss-Jordan elimination.
SAT Score Calculator
Convert digital SAT raw section scores to scaled composite scores (400-1600).
P-Value Calculator
Calculate exact p-values from Z-scores with one-tailed and two-tailed significance testing.
Sphere Volume Calculator
Compute sphere volume, surface area, and circumference from radius or diameter.
Percent of a Number Calculator
Quickly calculate what is X percent of Y with increases and decreases.
Distance Formula Calculator
Calculate distance, midpoint, and slope between two coordinate points.
Sample Size Calculator
Determine the necessary sample size for surveys based on confidence and error margin.
Linear Inequality Calculator
Solve linear and compound inequalities with interval notation and steps.
Variance & Standard Deviation
Compute sample variance, population variance, and standard deviation step-by-step.
Significant Figures Calculator
Count significant figures, round to target sig figs, and convert to scientific notation.
Confidence Interval Calculator
Calculate confidence intervals for sample means with customizable confidence levels.
Prime Factorization Calculator
Decompose any positive integer into prime factors with exponential notation.
Eigenvalue Calculator
Compute eigenvalues and characteristic polynomials for 2x2 square matrices.
Hexadecimal Calculator
Perform arithmetic on hexadecimal values with binary and decimal representations.
Determinant Calculator
Compute matrix determinants for 2x2 and 3x3 matrices with step-by-step expansion.
Antiderivative Calculator
Compute symbolic antiderivatives and indefinite integrals with integration steps.
Polynomial Calculator
Add, multiply, and expand algebraic polynomials with step-by-step steps.
Cone Volume Calculator
Compute volume, slant height, and surface area of a cone from radius and height.
Arc Length & Sector Calculator
Calculate circular arc length, sector area, and chord length from radius and angle.
Permutation & Combination
Compute permutations (nPr) and combinations (nCr) with step-by-step factorials.
Trapezoid Area Calculator
Compute the area of any trapezoid from parallel base lengths and vertical height.
Logarithm Calculator
Calculate logarithms with custom bases, natural log (ln), and common log.
Modulo & Remainder Calculator
Compute modular arithmetic (a mod b) and integer division remainders.
Synthetic Division Calculator
Divide polynomials by linear binomials with complete synthetic division steps.
Law of Cosines Calculator
Solve missing sides and angles of any oblique triangle using the law of cosines.
Partial Fraction Calculator
Decompose algebraic rational functions into simple partial fractions.
Mode Calculator
Find the most frequent number or values in any numerical dataset.
Rectangle Area Calculator
Calculate the area, perimeter, and diagonal of any rectangle instantly.
Complex Number Calculator
Perform arithmetic on complex numbers in standard rectangular form (a + bi).
Completing the Square Calculator
Convert quadratic equations into vertex form by completing the square.
Range Calculator
Find the statistical range, minimum, and maximum of any numerical dataset.
Countdown Calculator
Calculate days, hours, minutes, and seconds remaining until any target date.
Law of Sines Calculator
Solve missing sides and angles of triangles using the Law of Sines formula.
Laplace Transform Calculator
Calculate Laplace transforms for elementary and differential equations functions.
Vector Calculator
Calculate vector magnitude, dot product, and vector sums in 2D and 3D.
Unit Rate Calculator
Calculate unit prices and unit rates to compare grocery package values.
Dot Product Calculator
Calculate scalar dot product, vector magnitudes, and angles.
Average Speed Calculator
Calculate average speed in mph and km/h from distance and trip duration.
Riemann Sum Calculator
Calculate left, right, midpoint, and trapezoidal Riemann sums for calculus.
Taylor Series Calculator
Compute Taylor and Maclaurin series polynomial expansions with steps.
GCD & LCM Calculator
Calculate the Greatest Common Divisor (GCD) and LCM of numbers.
Improper Fraction Calculator
Convert between improper fractions and mixed numbers with step-by-step greatest common divisor reduction.
Acreage Calculator
Calculate land acreage and square footage from boundary length and width dimensions.
Bed Size Chart & Mattress Dimensions
Comprehensive dimension guide and room size recommendations for all standard mattress sizes.
PC Power Supply (PSU) Calculator
Estimate total system power consumption and recommended power supply unit (PSU) wattage rating.
Aspect Ratio Calculator
Calculate and scale image and screen dimensions proportionally with exact aspect ratios.
Gas Mileage & Fuel Cost Calculator
Calculate vehicle fuel efficiency in MPG, liters per 100km, cost per mile, and trip fuel expenses.
DPS Calculator (Damage Per Second)
Calculate gaming weapon damage per second, critical strike scaling, and hit damage averages.
Fish Tank & Aquarium Volume Calculator
Calculate aquarium water capacity in US/UK gallons and liters, plus total filled aquarium weight.
GPA Converter & Scale Calculator
Convert GPA scores across 4.0 scale, 5.0 weighted scale, percentage equivalents, and letter grades.
Fabric Yardage Calculator
Calculate fabric yardage and meter requirements for sewing projects, curtains, and upholstery.
Pizza Dough Calculator (Baker's %)
Calculate pizza dough recipe weights in grams using baker's percentages for flour, water, and yeast.
PC Bottleneck Calculator
Calculate PC hardware bottlenecks between your CPU and GPU across 1080p, 1440p, and 4K resolutions.
Download Time Calculator
Estimate file download and upload times based on file size and internet bandwidth speed.
TV Size & Viewing Distance Calculator
Calculate ideal 4K TV screen sizes and viewing distances based on SMPTE and THX cinema standards.
PPI Calculator (Pixels Per Inch)
Calculate display pixel density (PPI), dot pitch, and total megapixels from screen resolution.
Sourdough Bread Calculator
Calculate sourdough bread ingredient gram weights and baker's hydration percentages.
DPI Print Resolution Calculator
Calculate dots per inch (DPI) from image pixels and physical print dimensions for photo printing.
Quilt Fabric & Block Calculator
Calculate quilt blocks, grid layouts, backing fabric yardage, and binding requirements.
Aquarium Stocking Level Calculator
Calculate aquarium biological load and avoid toxic overstocking based on fish sizes and tank capacity.
Yarn Yardage & Skein Calculator
Estimate total yarn yardage, meters, and skein counts for knitting and crochet projects.
Curtain Size & Width Calculator
Calculate curtain panel widths, lengths, and fullness multipliers for custom and standard windows.
Turkey Cooking Time Calculator
Calculate turkey cooking and thawing times by weight for roasting and smoking.
Coffee Ratio Calculator
Calculate exact coffee bean and water ratios in grams and ounces by brew method.
Recipe Scaler
Scale recipe ingredient measurements up or down with fraction formatting.
Beer ABV Calculator
Calculate homebrew beer alcohol by volume and attenuation from OG and FG.
Smoking Time Calculator
Calculate BBQ smoking cook times, temperatures, and wood pairings by meat cut.
Wine Alcohol Calculator
Calculate finished wine ABV, Brix conversion, and chaptalization sugar additions.
Comprehensive Mathematical Solvers with Step-by-Step Transparency
Mathematics is the foundational language of science, technology, economics, and decision analysis. While basic pocket calculators return a single final figure, understanding the underlying mathematical logic and derivation steps is critical for verification, learning, and academic accuracy.
The Toolzy Math & Education suite combines instant evaluation with detailed algorithmic breakdown. Whether computing greatest common divisors using the Euclidean algorithm, calculating standard deviations and z-scores for statistical hypothesis testing, or factoring quadratic polynomials via the quadratic formula, each tool visualizes the intermediate steps.
Our calculators are tailored for students preparing for examinations (SAT, ACT, AP tests), teachers constructing problem sets, and professionals needing reliable numerical answers without installing heavy desktop computational software.
Key Formulas & Mathematical Standards
Precision algorithms and verified standards powering our math & education
Percentage Change
Determines relative growth or decline normalized against the baseline starting value.
Quadratic Formula
Solves for roots of standard polynomial equations in the form ax² + bx + c = 0, handling both real and complex discriminants.
Euclidean Algorithm (GCF)
Iterative division algorithm used to find the largest positive integer that divides two numbers without remainder.
Z-Score (Standard Normal Distribution)
Quantifies how many standard deviations an observation x is from the population mean μ.
Who Uses Our Math & Education?
Frequently Asked Questions
Common questions about using our math & education
Do the math calculators show step-by-step working?▼
Yes, our mathematical calculators provide both the direct answer and the step-by-step algebraic working, allowing you to check your homework or verify analytical proofs.
How do the calculators handle fractions and irrational numbers?▼
Calculators provide exact fractional representations alongside high-precision decimal equivalents, minimizing rounding loss during intermediate operations.
Are statistical calculators using sample or population standard deviation?▼
Our statistical calculators clearly indicate whether Bessel's correction (n - 1) is applied for sample variances or n is used for population variances.
Can I use these calculators on my phone during class or study sessions?▼
Yes, all calculators are fully responsive and touch-optimized for smartphones and tablets with high-contrast displays.
Explore Other Categories
Discover more fast, browser-based utilities across our specialized collections
Unit Converters
Exact metric & imperial conversions for weight, length, temperature & volume.
Date & Time
Calendar arithmetic, business day intervals, stopwatch & multi-counter.
Home & Construction
Paint coverage, pool volume, topsoil, roof pitch, square footage & materials.
Finance
Discount savings, markup, profit margins, CD returns & overtime pay.