Examples library
Worked problems for every calculator
Use these links when you need a shareable example, a study resource for students, or extra internal links to support topical hubs. Each example page includes the scenario, solution, and practice prompts.
Basic Calculator
Perform quick addition, subtraction, multiplication, and division.
Scientific Calculator
Trig, logs, exponentials, and powers with degree/radian toggles.
Fraction Calculator
Operate on rational numbers with automatic simplification.
Percentage Calculator
Find parts, originals, raw percent values, or percentage change.
Discount & Final Price
Applies percentage discounts, quantity, and sales tax to show the true total.
Tip & Bill Split
Adds a gratuity and divides the check evenly across the party.
BMI Calculator (Metric)
Metric-friendly BMI with category classification.
Loan Calculator
Estimate monthly cost, total interest, and payoff for fixed-rate loans.
Mortgage Calculator
Principal & interest plus taxes, insurance, and HOA for home buyers.
Compound Interest Calculator
Project growth with recurring contributions and compounding frequency.
Retirement Calculator
Model retirement savings with monthly contributions and risk profiles.
Age Calculator
Compute exact age differences down to the day.
Date Calculator
Add/subtract days or measure distance between dates.
Time Calculator
Add or subtract HH:MM time spans with wrap-safe output.
Triangle Calculator
Solve triangle perimeter, area, and internal angles from three sides.
Quadratic Solver
Roots, discriminant, and root nature for quadratic equations.
Prime Factorization
Break integers into ordered prime factors.
LCM & GCF Calculator
Simultaneously get least common multiple and greatest common factor.
BMI Calculator (Imperial)
Feet/inches and pounds for BMI plus weight class insights.
Body Fat % (US Navy)
US Navy body-fat estimate with circumference measurements.
Body Surface Area Calculator
Computes Mosteller and Du Bois BSA with quick dosing hints.
Calorie Calculator
BMR, maintenance, cut, and bulk calories via Mifflin-St Jeor.
TDEE Calculator
Total daily energy expenditure from Mifflin-St Jeor BMR and activity multipliers.
Macro Split Planner
Turns daily calories into protein, carb, and fat gram targets using preset or custom ratios.
Calorie Deficit Planner
Shows the deficit, calorie target, and timeline needed to reach a goal weight.
Pregnancy Due Date
LMP-based due date with trimester milestones.
Water Intake Calculator
Daily hydration target from weight, workouts, climate, and life stage adjustments.
BMR (Mifflin-St Jeor)
Calculates basal metabolic rate from gender, weight, height, and age.
Heart Rate Zones Calculator
Maps recovery through VO₂ max zones using the Karvonen method.
Ideal Gas Law Calculator
Solves PV = nRT for any missing variable with Kelvin temperature.
pH ↔ [H⁺] Converter
Convert between pH and hydrogen ion concentration.
Molarity Calculator
Solves for molarity, moles, or volume in mol/L problems.
Dilution Calculator
C₁V₁ = C₂V₂ tool for stock and working solutions.
Cylinder Volume Calculator
Computes cylinder volume plus lateral and total surface area.
Circle Area Calculator
Calculates circle area and circumference from radius or diameter.
Sphere Volume Calculator
Finds the volume and surface area of a sphere from its radius.
Right Triangle Solver
Computes hypotenuse, area, perimeter, and angles from the two legs.
Polygon Area Calculator
Area, perimeter, apothem, and angles for any regular polygon.
Percentage Change Calculator
Computes percent difference between a starting and ending value.
Percentage Difference Calculator
Finds the percentage difference between any two measurements.
Polynomial Solver
Finds approximate roots (real or complex) for higher-degree polynomials.
System of Equations Solver
Solves linear systems using an augmented matrix.
Matrix Determinant Calculator
Computes determinants for square matrices up to 6×6.
Matrix Multiplication Calculator
Performs matrix multiplication when dimensions are compatible.
Eigenvalue Calculator
Finds eigenvalues and normalized eigenvectors for 2×2 matrices.
Vector Addition Calculator
Performs vector addition and subtraction component-wise.
Dot Product Calculator
Finds the scalar product plus the angle between vectors.
Cross Product Calculator
Computes the vector cross product in three dimensions.
Integral Calculator
Evaluates definite integrals and approximates antiderivatives.
Derivative Calculator
Computes first through fourth derivatives at a point.
Limits Calculator
Evaluates one-sided and two-sided limits numerically.
Partial Derivatives Calculator
Computes partial derivatives for functions of two variables.
Statistics Calculator
Finds mean, median, variance, and standard deviation for a dataset.
Variance Calculator
Calculates data variability around the mean as variance and standard deviation.
Standard Deviation Calculator
Computes σ, variance, range, and coefficient of variation from any dataset.
Probability Calculator
Computes event probabilities with percent, fraction, and odds outputs.
Z-Score & Percentile Calculator
Converts any raw score into a standardized z-value, percentile rank, and tail probability.
Mean Median Mode Calculator
Finds key measures of central tendency for a dataset.
Binomial Probability Calculator
Finds exact or cumulative probabilities for binomial experiments.
Normal Distribution Calculator
Evaluates z-scores and normal probabilities.
T-test Calculator
Performs Welch’s two-sample t-test with p-value.
ANOVA Calculator
Runs a one-way ANOVA across multiple groups.
Chi-Square Calculator
Computes the chi-square statistic and p-value for goodness of fit.
Conversion Calculator
Universal unit converter covering length, weight, temperature, and more.
Linear Regression Calculator
Fits a least-squares line, returns slope/intercept, and predicts any Y value.
Correlation Coefficient Calculator
Finds Pearson r, covariance, and standard deviations for paired samples.
Sample Size Calculator
Estimates the responses needed to hit a target margin of error and confidence level.
A/B Test Sample Size Calculator
Two-proportion power analysis for experiments with a target lift, confidence, and power.
Confidence Interval Calculator
Builds a two-sided z-interval around a sample mean.
Decimal to Fraction Converter
Converts decimals to equivalent fractions with simplification.
Fraction to Decimal Converter
Converts fractions to decimals quickly for calculations or spreadsheets.
Temperature Converter
Converts °C, °F, K, and °R with one input.
Weight/Mass Converter
Converts between kilograms, pounds, and ounces instantly.
Energy Converter
Swaps between joules, calories, and watt-hours in one view.
Power Converter
Converts Watts, kilowatts, megawatts, horsepower, and dBm.
Data Size Converter
Converts bytes among binary KB, MB, GB, and TB (plus bits).
Data Rate Converter
kbps, Mbps, Gbps, and MB/s conversions for throughput planning.
Currency Converter
Live-style currency conversions using configurable base rates.
Speed Converter
Converts between km/h, mph, and m/s.
Pressure Converter
Converts between bar, atm, psi, and pascal units.
Area Converter
Converts between square meters, square feet, acres, and hectares.
Volume Converter
Converts liters, cubic meters, US gallons, and US pints.
Length Converter
Converts between meters, feet, inches, yards, and miles.
Cooking Measurement Converter
Converts cups, spoons, ounces, grams, liters, and more kitchen-friendly units.
Time Zone Converter
Finds local time differences across global cities.
Interest Rate Calculator
Calculates effective annual rate and periodic interest from a nominal rate.
Salary Calculator
Converts annual pay into hourly, weekly, and monthly equivalents.
Tax Calculator
Estimates take-home pay using simple US, UK, or Canada tax brackets.
Investment Return Calculator
Computes ROI, absolute gain, and compound annual growth (CAGR).
ROI / ROAS Calculator
Blends ROI, ROAS, net profit, and annualized return for any campaign or capital project.
SIP Calculator
Projects SIP maturity, total contributions, and wealth gained over time.
Crypto Profit Calculator
Estimates crypto trade P&L after exchange fees, gas, and slippage.
Depreciation Calculator
Compares straight-line and declining-balance depreciation schedules.
Loan Amortization Calculator
Generates amortization schedules and payment breakdowns.
Currency Inflation Calculator
Adjusts money between years using an average inflation rate.
GST Calculator
Adds or removes Goods and Services Tax from any amount.
EMI Calculator
Finds the equated monthly installment for any fixed-rate loan.
Distance Calculator
Computes straight-line distance between two or three-dimensional points.
Fuel Cost Calculator
Estimates fuel needed, trip cost, and CO2 for road journeys.
Speed Distance Time Calculator
Solves the motion equation when any one variable is missing.
Force Calculator
Computes force from mass and acceleration (F = m·a).
Work Calculator
Finds mechanical work using force, displacement, and angle.
Power Calculator
Finds mechanical power or electrical power from multiple input combinations.
Projectile Motion
Range, time of flight, and peak height for a launch angle.
Free-Fall Calculator
Drop time and impact velocity from any height (no drag).
Ohm’s Law Calculator
Solves for voltage, current, or resistance in DC circuits.
Resistor Color Code Calculator
Decodes resistor band colors into resistance and tolerance.
Series/Parallel Resistors
Equivalent resistance calculator plus branch count at a glance.
Capacitance Calculator
Computes capacitance for parallel plate capacitors.
Inductance Calculator
Estimates inductance for air-core and ferrite-core coils.
Current Divider Calculator
Splits current through resistors in a parallel branch.
Voltage Divider Calculator
Computes output voltage for resistor dividers with load awareness.
Power Factor Calculator
Computes real, reactive, and apparent power with power factor.
RC Time Constant
Finds τ = R·C plus the time to hit 63%, 95%, and 99% charge levels.
dB Converter
Converts linear power or voltage ratios to decibels and back.
Electrical Power (P = VI)
Calculates real, apparent, and reactive power for single- or three-phase systems.
Permutation Combination Calculator
Computes nPr, nCr, and factorial values exactly.
Scientific Notation Calculator
Converts between standard numbers and scientific notation.
Logarithm Calculator
Computes logarithms in base 10, base e, or any custom base.
Exponential Growth Calculator
Models exponential change with initial value, rate, and time.
Heat Index Calculator
Outputs NOAA heat index, Celsius/Fahrenheit feels-like, and safety labels.
Wind Chill Calculator
Calculates wind chill and frostbite guidance from temperature plus wind speed.
GPA Calculator
Converts letter grades and credit hours into GPA and quality points.
Grade Calculator
Tracks assignment scores, current letter grade, and the score needed to hit a target.
Subnet Calculator
Breaks down IPv4 networks into mask, host range, broadcast, and host counts.
Sales Commission Calculator
Flat or tiered commission payouts based on total sales.
Break-Even Point
Calculates the units and revenue needed to cover fixed costs.
Markup ↔ Margin
Converts markup percentages to margins (and back).
Unit Economics (CAC:LTV)
LTV, CAC payback, and contribution per customer from ARPU, churn, and gross margin.
Runway & Burn Rate
Cash runway calculator with optional monthly burn increases.
SaaS MRR/ARR Dashboard
Tracks starting MRR, new bookings, expansion, churn, and contraction.
UTM Builder
Generates campaign tracking URLs with source, medium, term, and content.