🛠️ TutorDA Utility Tools

Math Tools Hub

Powerful learning tools for students and AI-powered teaching tools for educators — all in one place.

📄 Generators & Practice

📄

Worksheet Generator

Select grade, topic, and difficulty — generate a beautifully formatted printable worksheet with answer key.

Print ReadyAnswer KeyMulti-Grade

Times Table Trainer

Interactive 12x12 grid, speed rounds, boss battles, match pairs memory game, achievements, and mastery heatmap.

Boss BattleSpeed RoundAchievements

Flashcard Drill

Spaced repetition flashcards with SM-2 algorithm. 96 built-in cards across 6 topics. Track mastery, create custom decks.

Spaced Repetition6 TopicsCustom Decks

Generate bingo cards with math problems. Self-checking answers, teacher caller system, win detection, and classroom print mode.

ClassroomPrintable4 Difficulties

Probability Simulator

7 interactive simulations: coin flip, dice roll, card draw, Monty Hall, birthday paradox, random walk, and custom spinner.

7 SimulationsConvergenceCharts

60-second timed math challenges with streak multipliers, leaderboard, personal bests, and multiple difficulty levels.

TimedLeaderboardStreaks

Kahoot-style multiplayer quiz via PeerJS. Host on projector, players join on phones. Speed scoring, podium, sound effects.

MultiplayerReal-TimeSolo Mode

Speed Math Sprint

60-second rapid-fire arithmetic with progressive difficulty. Daily challenges, accuracy tracking, global-style leaderboard.

60 SecondsDaily ChallengeProgressive

Crossword puzzles where clues are math problems. Auto-generated grids, 3 difficulty levels, timer, and hint system.

Auto-Generated3 LevelsHints

Mental Math Trainer

Train mental math with Vedic math tricks, estimation challenges, and progressive brain workouts. Track improvement over time.

Vedic MathEstimationBrain Training

🔧 Calculators & Converters

⇄

Unit Converter

Convert between length, mass, temperature, area, volume, speed, time, angle, and data units.

9 CategoriesInstant

½

Fraction · Decimal · %

Enter any form — get all three. Simplify fractions, find GCD and LCM with step-by-step working.

3-Way ConvertGCD/LCM

Percentage Calculator

All percentage operations — basic %, change, increase/decrease, discounts, tip calculator, and ratio/proportion converter.

6 ModesStep-by-Step

σ

Statistics Calculator

Mean, median, mode, range, variance, standard deviation, Z-score, frequency table, and histogram.

HistogramZ-Score

⊞

Matrix Calculator

Add, subtract, multiply matrices up to 4×4. Find determinant, inverse, transpose, and scalar operations.

Up to 4×4Inverse

Number Theory Toolkit

Prime factorization with animated tree, GCD/LCM via Euclidean algorithm, Sieve of Eratosthenes, modular arithmetic, and divisibility tests.

Factor TreeSieveModular

Scientific Calculator

Realistic full-featured calculator — trig, logs, powers, factorial, memory, parentheses, DEG/RAD/GRAD, 2nd functions, and calculation history.

TrigLogsMemoryHistory

Equation Solver

Solve linear, quadratic, systems of equations, and inequalities with step-by-step working, multiple methods, and graphing.

Step-by-StepGraphing5 Types

Derivative Calculator

Symbolic differentiation with step-by-step rules, graph of f(x) and f'(x), tangent line evaluator, up to 5th order.

Step-by-StepGraphingTangent Line

Integral Calculator

Symbolic integration with rule-based engine. Power, trig, exponential, u-sub, by parts. Definite integrals with shaded area graph.

Step-by-StepArea Graph12 Patterns

Polynomial Division

Long division and synthetic division with animated steps. Remainder/factor theorems, rational root finder, and complete factorization.

Long DivisionSyntheticFactor Theorem

Ratio & Proportion

Solve proportions, simplify ratios, divide quantities in given ratios, golden ratio explorer, and recipe scaler.

Cross MultiplyGolden RatioRecipe Scaler

Coordinate Geometry

Distance, midpoint, slope, line equations, circle equations, intersection points — all plotted live on an interactive grid.

Interactive GridLines & CirclesStep-by-Step

Inequality Grapher

Graph linear and quadratic inequalities in 2D with shaded feasible regions. Number line for 1D. Systems of inequalities.

2D ShadingNumber LineSystems

📈 Graphing & Visualization

📈

Graph Plotter

Plot up to 4 functions simultaneously with custom view window. Presets for common functions like x², sin(x), 1/x.

Multi-FunctionCanvas

3D Function Visualizer

Plot 3D surfaces z=f(x,y) with Plotly.js. 12 presets, multi-surface mode, partial derivatives, 7 color schemes.

3D Surfaces12 PresetsDerivatives

Trigonometry Explorer

Interactive unit circle, trig graphs with amplitude/frequency sliders, triangle solver (SSS/SAS/ASA/SSA), identity verifier, and radian-degree converter.

Unit CircleTriangle Solver6 Tabs

Log & Exponent Explorer

Compute logs and exponents, interactive graph with base slider, verify rules with your own numbers, solve equations, and practice challenges.

Interactive GraphRules VerifierPractice

Shape Calculator

Compute area, perimeter, volume, and surface area for 21 shapes with live Canvas diagrams, LaTeX formulas, and shape comparison.

11 2D Shapes10 3D ShapesDiagrams

Set Theory & Venn

Interactive Venn diagrams for 2-3 sets. Union, intersection, complement, De Morgan's laws verification, and arbitrary expression evaluator.

Venn DiagramsDe MorganExpression Parser

Geometry Playground

Construct points, lines, circles, polygons. Measure distances, angles, areas. 5 interactive theorem demos with live formulas.

ConstructionTheoremsInteractive

Complex Numbers

Argand diagram, rectangular/polar/exponential forms, operations with step-by-step, roots of unity, Euler's formula visualization.

Argand DiagramEuler's FormulaOperations

Vector Calculator

2D/3D vector operations: add, subtract, dot/cross product, magnitude, projection. Interactive draggable visualizations.

2D & 3D10 OperationsDraggable

Try Now 1,1,2,3

Sequence Analyzer

Detect arithmetic, geometric, quadratic, Fibonacci patterns. Series sums, convergence tests, famous sequences, and practice mode.

Pattern DetectionConvergencePractice

Number Base Explorer

Convert between binary, octal, decimal, hex with step-by-step. Bit visualizer, base arithmetic, ASCII table, and practice mode.

7 TabsBit VisualizerASCII

Formula Sheet Builder

Drag-and-drop formula cards from 6 categories. Build custom cheat sheets, add personal notes, export as PDF.

Drag & DropPDF Export60+ Formulas

Truth Table Generator

Generate truth tables for logical expressions. AND, OR, NOT, XOR, NAND, NOR, implication. Circuit diagram visualization.

Logic GatesExpressionsCircuits

Math Dictionary

300+ math terms with definitions, formulas, visual examples, and related concepts. Search, browse by topic, or explore A-Z.

300+ TermsVisual ExamplesA-Z Browse

Explore visual number patterns: Pascal's triangle, Fibonacci spiral, magic squares, number grids, and fractal generators.

Pascal's TriangleFractalsMagic Squares

Math History Timeline

Interactive timeline of mathematical discoveries from ancient civilizations to modern breakthroughs. Mathematician bios and key theorems.

Interactive50+ EventsBios

⇄ Unit Converter

Convert between length, mass, temperature, area, volume, speed, time, angle, and data units.

From

⇄

To

Value

Result

—

Quick conversions:

Formula

Select a conversion above

📈 Function Plotter

Plot up to 4 functions simultaneously. Use standard math notation: x^2, sin(x), sqrt(x), abs(x), etc.

Functions

View Window

X min

X max

Y min

Y max

Presets:

y = x² sin(x) cos(x) √x |x| 1/x x³−3x 2x+1

½ Fraction · Decimal · Percentage Converter

Enter any form — get all three. Also simplify fractions and find LCM/GCD.

Form	Value

GCD & LCM Helper

Number A

Number B

GCD (HCF)

—

LCM

—

σ Statistics Calculator

Enter comma-separated numbers — get mean, median, mode, range, variance, standard deviation, and more.

Data Set (comma separated)

Frequency Table

Value	Frequency	Relative Freq (%)	Cumulative

Histogram

Z-Score Calculator

How many standard deviations is a value from the mean?

Value (x)

Mean (μ)

Std Dev (σ)

Z-Score

—

—

⊞ Matrix Calculator

Add, subtract, multiply matrices. Find determinant, inverse, and transpose. Up to 4×4 matrices.

Matrix A

×

Operation

Matrix B

×

Scalar operations on A:

Result

Select an operation above to see the result.

📄 Worksheet Generator

CBSE-aligned, Grade 1 to Grade 12 — every topic supports 100+ unique randomised questions. Each generation rolls fresh numerals so no two worksheets are identical. Generate a printable worksheet with answer key in seconds.

Step 1 — Select Grade Level

Step 2 — Select Topic

Select a grade first…

Step 3 — Difficulty

Step 4 — Options

Questions

Answer Key

Layout

Student Name Line

Show Hints

Paper Size

Step 5 — Worksheet Info (Optional)

Worksheet Title

Class / Section

Teacher Name

Opens a print-ready page → use browser's Print or Save as PDF

🖥️ Workspace

LaTeX Editor — Live Preview

Type or paste LaTeX code and see it rendered instantly with KaTeX. Includes snippet shortcuts for fractions, integrals, matrices, Greek letters, and more. Split editor with find & replace.

KaTeX Live Render Snippets Split Editor

TutorDA — Moodle XML Preview

Paste or edit Moodle XML quiz code and instantly preview all question types — MCQ, True/False, Short Answer, Matching, Essay, Cloze, Numerical and Formulas — with KaTeX math rendering and answer reveal.

Moodle XML Quiz Preview Math Render Split Editor

Lesson Data — Live Preview

Paste lesson JSON or TypeScript data and preview it live — renders LaTeX math with MathJax, embeds YouTube videos, and displays step-by-step lesson content with navigation.

JSON / TS MathJax YouTube Embed Step Navigation

Quiz Data — Live Preview

Paste QuizQuestion[] JSON or TypeScript data and preview questions with LaTeX math, hints, explanations, difficulty badges, and interactive answer selection with score tracking.

QuizQuestion[] MathJax Hints & Explanations Score Tracking

CMCQ — Solution Preview

Paste a Moodle Calculated Multi-Choice Question script and instantly see the rendered solution with {a},{b},{c},{d} substituted (default 2,3,4,5) and every {=expression} computed live.

CMCQ Variable Sub MathJax Live Eval

Formula Question — Solution Preview

Paste a Moodle Formula-type question script and preview the worked solution with sample variable values substituted and every {=expression} evaluated, the way the Formulas plugin renders on a real attempt.

Moodle Formulas Variable Sub MathJax Live Eval

🤖 AI-Powered Tools

AI Math Tutor Chat

Claude-powered chat assistant that guides students through problems step-by-step with hints, encouragement, and Socratic questioning — without revealing the full answer.

Claude API Step-by-Step Adaptive

Auto Hint Generator

Paste any math problem and get progressive hints — from gentle nudges to detailed guidance. Perfect for teachers who want to scaffold learning without giving away the solution.

AI-Generated Progressive Hints Scaffolded

Photo-to-Solution

Upload a photo of a handwritten math problem and receive a full step-by-step solution walkthrough. Supports arithmetic, algebra, calculus, and more.

Vision AI Handwriting OCR Walkthrough

Concept Explainer

Enter any math topic and choose your level — "Explain like I'm 12" or "Explain like I'm a university student." Get clear, tailored explanations with examples.

Claude API Multi-Level Visual Examples

🤝 Collaboration & Engagement

Try Now 🖊️

Virtual Whiteboard

Shared drawing canvas for live tutoring sessions. Teachers and students can draw, annotate, and solve problems together in real time with built-in math symbols.

Real-Time Shared Canvas Math Symbols

Peer Challenge System

Students challenge each other to solve math problems within a time limit. Earn points, climb leaderboards, and build a competitive learning community.

Multiplayer Gamified Leaderboard

Kahoot-style multiplayer quiz — host on projector, players join on phones via room code. Speed-based scoring, streak multipliers, animated podium, and 5 pre-built quiz banks.

Real-Time Multiplayer Quiz Builder

Math Dictionary — Classroom Reference

Searchable glossary of 500+ mathematics terms with definitions, examples and diagrams. Project on the board or share the link with students for instant in-class reference.

500+ Terms Searchable Projector-Ready

📚 Study & Practice

Formula Sheet Builder

Drag-and-drop formula cards from a library of 60+ formulas to build your personal cheat sheet. Add custom formulas, organize by topic, and export as a clean PDF.

Drag & Drop PDF Export Custom Formulas

Flashcard Drill

Spaced repetition flashcards across 6 math topics with 96+ built-in cards. Track mastery, study streaks, and create custom decks — all saved locally.

Spaced Repetition Mastery Tracking Custom Decks

Generate bingo cards with math problems instead of numbers. Self-checking answers, teacher caller system with speech, win detection, and classroom-ready printing.

Gamified Printable Classroom Ready

Pattern Finder Puzzles

Generate "what comes next?" number, shape and rule puzzles for warm-ups and bell-ringers. Auto-checks student answers; difficulty levels from KS2 through JEE.

Bell-Ringer Auto-Check Multi-Level

🔧 Calculators & Converters

Scientific Calculator

Realistic full-featured calculator — trig, logs, powers, factorial, memory, parentheses, DEG/RAD/GRAD, 2nd functions, and calculation history. Perfect for classroom demonstrations.

TrigLogsMemoryKeyboard Input

Mental Math Trainer

A ready-made 5-minute classroom warm-up engine — Vedic tricks, estimation challenges, and progressive drills. Display on the board; students compete on accuracy and speed.

Vedic TricksClass WarmupProgressive

Percentage & Grade Calculator

Six modes — basic %, percentage change, increase/decrease, discounts, weighted averages, and mark-to-grade conversion. Step-by-step working for board demonstrations.

6 ModesWeighted AvgStep-by-Step

Truth Table Builder

Type any propositional-logic expression — get the full truth table with intermediate columns and a Venn-style diagram. Built for boolean algebra, set theory and discrete maths lessons.

LogicDiscrete MathStep Columns

🔬 Interactive Explorers

3D Function Visualizer

Plot and explore 3D mathematical surfaces interactively. 12+ preset surfaces, multi-surface mode, color schemes, and partial derivatives — powered by Plotly.js.

Plotly.js Multi-Surface Interactive 3D

Geometry Playground

Construct shapes, measure angles and areas, and explore theorems interactively. Drag points to see geometry come alive — Pythagoras, circle theorems, triangle centers and more.

Canvas Theorem Explorer Drag & Drop

Probability Simulator

Visualize probability with 7 interactive experiments — coin flips, dice, cards, Monty Hall, Birthday Paradox, random walks, and custom spinners with live charts.

7 Simulations Chart.js Law of Large Numbers

Equation Solver

Solve linear, quadratic, and systems of equations with animated step-by-step working. Multiple methods, graphing, verification, and polynomial factoring.

Step-by-Step Graphing Multi-Method

Number System Explorer

Convert between binary, octal, decimal, and hex with step-by-step working. Interactive bit visualizer, base arithmetic, ASCII table, and practice challenges.

Bit Visualizer Step-by-Step Practice Mode

Times Table Trainer

Master multiplication with 5 game modes — Speed Round, Boss Battle, Missing Number, Match Pairs — plus a 12×12 mastery grid, achievements, and streak tracking.

Gamified 5 Game Modes Achievements

∫ Calculus & Advanced Math

Derivative Calculator

Compute symbolic derivatives with step-by-step rule application — power, product, quotient, and chain rules. Graph f(x) vs f'(x) with tangent line visualization.

Step-by-Step math.js Tangent Line

Integral Calculator

Compute indefinite and definite integrals with step-by-step methods — power rule, u-substitution, integration by parts. Shaded area graph for definite integrals.

Step-by-Step Plotly.js Area Shading

Sequence & Series Analyzer

Identify sequence patterns automatically, find nth term formulas, compute partial sums, and run convergence tests. 8 famous sequences gallery and practice mode.

Pattern Detection Convergence Tests Practice Mode

Complex Number Visualizer

Explore complex numbers on the Argand diagram. Animated operations, polar/rectangular conversion, roots of unity, and Euler's formula demo with interactive dragging.

Argand Diagram Animated Ops Euler's Formula

Vector Calculator

Compute dot product, cross product, projections, and angles with 2D canvas and 3D Plotly visualizations. Drag vectors interactively and explore 5 built-in demos.

2D & 3D Plotly.js Interactive Demos

Polynomial Long Division

Animated step-by-step long division and synthetic division with color-coded working. Includes remainder theorem, factor theorem, and rational root finder.

Animated Steps Synthetic Division Factorization

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