All Games
301Math
20Arithmetic5
SpeedMath
ExactRace through arithmetic. Addition, subtraction, multiplication, and more.
Percentage Pro
ClosenessCalculate percentages, discounts, and markups in your head.
Fraction Blitz
ClosenessMaster fractions: convert, add, subtract, multiply, and divide.
Order of Operations
ExactMaster PEMDAS with expressions that punish left-to-right guessing.
Mental Multiply
ExactMulti-digit mental multiplication under time pressure.
Estimation4
Square Root Estimation
ClosenessEstimate square roots to the nearest hundredth.
Logarithm Estimation
ClosenessEstimate logarithm values in different bases.
Power Estimation
ClosenessEstimate powers and exponentials from memory.
Ratio Estimation
ClosenessEstimate ratios and proportions from given quantities.
Number Theory5
Square & Root
ExactPowers, squares, cubes, and square roots. Mental math fundamentals.
Prime Hunter
ExactFind primes, count primes, and master number theory.
Sequence Solver
ExactFind the pattern and predict the next number in the sequence.
Scientific Notation
ExactConvert between scientific notation and standard form.
GCD & LCM
ExactCalculate greatest common divisors and least common multiples.
Statistics6
Mean Machine
ClosenessCalculate the average (mean) of a dataset. Mental arithmetic meets statistics.
Median Finder
ClosenessFind the middle value in a dataset. Sort, locate, calculate.
Standard Deviation
ClosenessCalculate the population standard deviation of a dataset.
Probability Pop
ClosenessCalculate probabilities for dice, coins, cards, and more.
Combinatorics
ExactFactorials, permutations, and combinations.
Z-Score
ClosenessCalculate and interpret z-scores in normal distributions.
Focus
6Estimation5
The Total Is
ClosenessWatch prices flash by. Estimate the total.
The Average Is
ClosenessWatch values flash by. Estimate the average.
The Spread Was
ClosenessWatch values flash by. Estimate max − min.
The Net Was
ClosenessWatch gains and losses flash by. Estimate the net change.
The Mystery Stat
ClosenessValues flash. You won't know which statistic you're asked for until the end.
Finance
15Investing9
Compound Interest
ClosenessFuture value, present value, and the Rule of 72. Know what your money is actually doing.
P/E Ratio
ClosenessPrice-to-earnings ratio calculations. Value investing fundamentals.
Dividend Yield
ClosenessCalculate dividend yields and income from stocks. Income investing fundamentals.
CAGR
ClosenessCompound Annual Growth Rate. Normalize investment returns across different time periods.
Dollar Cost Average
ClosenessCalculate average cost basis from multiple purchases at different prices.
Options Intrinsic Value
ExactCalculate intrinsic value of call and put options.
Options Breakeven
ExactCalculate breakeven prices for option trades.
Bond Yield
ClosenessCalculate current yield and approximate yield to maturity for bonds.
Portfolio Return
ClosenessCalculate weighted portfolio returns and risk metrics.
Loans & Mortgages6
Monthly Payment
ClosenessCalculate mortgage and loan monthly payments using the standard amortization formula.
Total Interest Paid
ClosenessCalculate the lifetime interest cost on a loan.
Payoff Accelerator
ClosenessCalculate time and interest saved by making extra payments on loans.
Refinance Math
ClosenessCalculate break-even month and savings when refinancing a loan.
Amortization Split
ClosenessBreak down loan payments into interest and principal components.
APR vs Rate
ClosenessCalculate effective annual rate from nominal rate and compounding frequency.
Everyday
15Bills & Tips5
Tip Calculator
ClosenessCalculate tips, split bills, and figure out your share. No phone allowed.
Split the Bill
ClosenessCalculate your fair share when dining with others. Tax, tip, and shared items.
Auto Loan Payment
ClosenessCalculate monthly car loan payments with interest.
Utility Bill
ClosenessCalculate electric, gas, and water bills from usage rates and tiered pricing.
Subscription Cost
ClosenessCompare monthly vs annual plans, bundle costs, and family plan savings.
Taxes & Income5
Tax Bracket
ClosenessCalculate federal income tax using 2024 US tax brackets.
Paycheck Math
ClosenessCalculate take-home pay from gross salary after taxes and deductions.
Auto Sales Tax
ClosenessCalculate sales tax on vehicle purchases.
Hourly to Annual
ClosenessConvert hourly wages to annual salary with overtime, benefits, and deductions.
Sales Tax Compare
ClosenessCompare total costs across different tax rates and categories.
Shopping & Deals5
Discount Stack
ClosenessMultiple discounts, coupons, and BOGO deals. How much do you actually pay?
Lease vs Buy
ClosenessCompare total costs of leasing versus buying a vehicle.
Unit Price
ClosenessCompare unit prices across package sizes to find the best deal.
Coupon Stack
ClosenessStack percentage and dollar-off coupons. Order matters!
Cashback Rewards
ClosenessCalculate credit card cashback on categorized spending.
Vehicles
15Fuel Economy5
Cost Per Mile
ClosenessCalculate how much each mile costs in fuel. Know your true driving expenses.
Road Trip Cost
ClosenessCalculate fuel costs for road trips. Plan your budget before you drive.
MPG from Trip Data
ClosenessCalculate your real fuel efficiency from actual trip data.
Fuel Tank Range
ClosenessCalculate how far you can drive on a tank of gas.
Fill-Up Cost
ClosenessCalculate the cost to fill your tank at the gas pump.
Electric Vehicles5
EV vs Gas Savings
ClosenessCompare annual fuel costs between electric and gas vehicles.
EV Range
ClosenessCalculate electric vehicle driving range from battery and efficiency.
EV Charging Cost
ClosenessCalculate the cost to charge an electric vehicle at home or on the road.
Charging Time
ClosenessCalculate how long it takes to charge an electric vehicle.
EV Battery Degradation
ClosenessCalculate battery capacity loss over time and charge cycles.
Ownership Costs5
Depreciation
ClosenessCalculate how much a vehicle loses in value over time.
Total Cost of Ownership
ClosenessCalculate the true 5-year cost of owning a vehicle.
Cost Per Year
ClosenessCalculate the annualized cost of owning a vehicle.
Insurance Cost
ClosenessCalculate annual vehicle insurance premiums with various factors.
Lease Payment
ClosenessCalculate monthly vehicle lease payments with various terms.
Measurement
35Length5
Length
ClosenessConvert between cm, m, km, inches, feet, yards, and miles.
Length Chain Conversion
ClosenessConvert lengths through multiple units in sequence.
Length Word Problems
ClosenessSolve real-world length conversion word problems.
Length Comparison
ClosenessCompare two lengths in different units and find the difference.
Length Estimation
ClosenessEstimate length measurements using real-world references.
Mass5
Mass
ClosenessConvert between grams, kilograms, ounces, and pounds.
Mass Chain Conversion
ClosenessConvert masses through multiple units in sequence.
Mass Word Problems
ClosenessSolve real-world mass conversion word problems.
Mass Comparison
ClosenessCompare two masses in different units and find the difference.
Mass Estimation
ClosenessEstimate mass measurements using real-world references.
Volume5
Volume
ClosenessConvert between mL, liters, fluid ounces, cups, pints, quarts, and gallons.
Volume Chain Conversion
ClosenessConvert volumes through multiple units in sequence.
Volume Word Problems
ClosenessSolve real-world volume conversion word problems.
Volume Comparison
ClosenessCompare two volumes expressed in different units.
Volume Estimation
ClosenessEstimate volumes using real-world references.
Speed5
Speed
ClosenessConvert between m/s, km/h, mph, and ft/s.
Speed Chain Conversion
ClosenessConvert speeds through multiple units in sequence.
Speed Word Problems
ClosenessSolve real-world speed conversion word problems.
Speed Comparison
ClosenessCompare two speeds expressed in different units.
Speed Estimation
ClosenessEstimate speeds using real-world references.
Time5
Time
ClosenessConvert between seconds, minutes, hours, days, and weeks.
Time Chain Conversion
ClosenessConvert time through multiple units in sequence.
Time Word Problems
ClosenessSolve real-world time conversion word problems.
Time Comparison
ClosenessCompare two time durations expressed in different units.
Time Estimation
ClosenessEstimate time durations using real-world references.
Temperature5
Temperature
ClosenessConvert between Celsius and Fahrenheit.
Temperature Chain Conversion
ClosenessConvert temperature through multiple scales in sequence.
Temperature Word Problems
ClosenessSolve real-world temperature conversion word problems.
Temperature Comparison
ClosenessCompare two temperatures expressed in different scales.
Temperature Estimation
ClosenessEstimate temperatures using real-world references.
All Units5
All Units
ClosenessConvert between all unit types: length, mass, volume, speed, time, and temperature.
Mixed Chain Conversion
ClosenessMulti-step conversions across all unit types.
Mixed Word Problems
ClosenessWord problems from all unit categories.
Mixed Compare
ClosenessCompare quantities from any unit category.
Mixed Estimation
ClosenessEstimation challenges from any unit category.
Sports
50Baseball5
Baseball Batting
ClosenessCalculate batting average, OBP, slugging, OPS, and more from realistic stat lines.
Baseball Pitching
ClosenessCalculate ERA, WHIP, K/9, and more from realistic pitching lines.
Baseball Fielding
ClosenessCalculate fielding percentage, range factor, and more from realistic fielding stats.
Baseball Baserunning
ClosenessCalculate stolen base rates, runs created, and baserunning metrics.
Baseball Sabermetrics
ClosenessCalculate WHIP, ERA, K/9, BB/9, and advanced pitching metrics from season stats.
Basketball5
Basketball Stats
ClosenessCalculate FG%, TS%, eFG%, fantasy points, and more from realistic box scores.
Basketball Shooting
ClosenessCalculate 2P%, 3P%, FT%, points per shot, eFG%, and TS% from shooting splits.
Basketball Advanced
ClosenessCalculate usage rate, game score, and per-36 stats from advanced box scores.
Basketball Rebounding
ClosenessCalculate ORB%, DRB%, rebound rate, and per-game rebounding stats.
Basketball Playmaking
ClosenessCalculate assist/turnover ratio, assist rate, and playmaking metrics.
American Football5
Football Passing
ClosenessCalculate completion percentage, passer rating, and more from realistic QB stat lines.
Football Rushing
ClosenessCalculate yards per carry, fantasy points, and more from realistic RB stat lines.
Football Receiving
ClosenessCalculate catch rate, yards per reception, PPR fantasy points, and more from realistic WR/TE stat lines.
Football Defense
ClosenessCalculate tackle rate, sack rate, INT rate, and QB pressure percentage from defensive stat lines.
Football Special Teams
ClosenessCalculate field goal percentage, punt average, return average, and touchback rate from special teams stats.
Cricket5
Cricket Batting
ClosenessCalculate batting average, strike rate, and more from realistic cricket batting stats.
Cricket Bowling
ClosenessCalculate economy rate, bowling average, and more from realistic bowling figures.
Cricket Fielding
ClosenessCalculate catch success rate, run-out efficiency, and stumping rate from fielding stats.
Cricket Economy
ClosenessCalculate economy rate, dot ball percentage, and maiden over rate from bowling economy stats.
Cricket All-Rounder
ClosenessCalculate all-rounder index, batting-bowling ratio, and combined batting+bowling value.
Tennis5
Tennis Match Stats
ClosenessCalculate first serve percentage, break points, and more from realistic match statistics.
Tennis Serving
ClosenessCalculate ace percentage, double fault rate, serve win percentages, and hold rates.
Tennis Returning
ClosenessCalculate return games won, break point conversion, and return point statistics.
Tennis Rally
ClosenessCalculate winners/UE ratio, net approach success, and aggression metrics.
Tennis Match Efficiency
ClosenessCalculate sets won, tiebreak win rate, deciding set records, and match efficiency stats.
Soccer5
Soccer Stats
ClosenessCalculate goals per game, shot accuracy, xG difference, and more from realistic season stats.
Soccer Goalkeeping
ClosenessCalculate save percentage, goals against average, clean sheet rate, and more.
Soccer Defensive
ClosenessCalculate tackle success, interceptions per 90, aerial duels, and defensive action rates.
Soccer Possession
ClosenessCalculate pass completion, progressive passes per 90, key passes, and carrying stats.
Soccer Attacking
ClosenessCalculate shot conversion, xG overperformance, chances created per 90, and goal involvement.
Golf5
Golf Stats
ClosenessCalculate scoring average, GIR percentage, scrambling, and more from realistic tournament stats.
Golf Scoring
ClosenessCalculate scoring average, par averages, birdie percentage, and bogey avoidance from tournament data.
Golf Driving
ClosenessCalculate driving accuracy, average distance, fairway hit rate, and distance differential.
Golf Putting
ClosenessCalculate putts per GIR, 1-putt percentage, 3-putt percentage, and total putts per round.
Golf Approach
ClosenessCalculate GIR percentage, proximity to hole, sand save percentage, and up-and-down rate.
Hockey5
Hockey Stats
ClosenessCalculate goals per game, shooting percentage, save percentage, GAA, Corsi, and PDO from realistic stat lines.
Hockey Scoring
ClosenessCalculate points per game, even-strength production, power play percentage, and shooting percentage.
Hockey Goaltending
ClosenessCalculate GAA, save percentage, shutout rate, and quality start percentage from goalie stats.
Hockey Possession
ClosenessCalculate Corsi%, Fenwick%, zone start%, and PDO from advanced hockey stats.
Hockey Special Teams
ClosenessCalculate power play%, penalty kill%, shorthanded goals/60, and 5v5 goal differential.
Motorsports5
Motorsports Stats
ClosenessCalculate win rate, average finish, pole-to-win conversion, and more from realistic motorsport stat lines.
Motorsports Qualifying
ClosenessCalculate qualifying deltas, lockout rates, and position averages from realistic qualifying data.
Motorsports Race Pace
ClosenessCalculate average lap times, pit stop deltas, tire degradation rates, and more from realistic race data.
Motorsports Championship
ClosenessCalculate points projections, constructor totals, and championship gaps from realistic standing data.
Motorsports Pit Strategy
ClosenessCalculate optimal pit windows, undercut/overcut deltas, and strategy comparisons from realistic race data.
Combat Sports5
Combat Sports Stats
ClosenessCalculate win rate, KO rate, striking accuracy, takedown accuracy, and more from realistic MMA stat lines.
Combat Striking
ClosenessCalculate striking accuracy, absorbed strikes per minute, and strike differential from realistic MMA data.
Combat Grappling
ClosenessCalculate takedown accuracy, submission rate, and control time percentage from realistic MMA grappling data.
Combat Judging
ClosenessCalculate 10-point must scoring, split decisions, and judge totals from realistic MMA judging data.
Combat Record
ClosenessCalculate win percentage, finish rate, average fight time, and KO rate from realistic fighter records.
Chemistry
10Periodic Table5
Atomic Number
ExactGiven an element name or symbol, type its atomic number
Atomic Mass
ClosenessGiven an element, type its atomic mass
Electron Config Count
ExactCount electrons in a specific shell or subshell
Valence Electrons
ExactHow many valence electrons does this element have?
Oxidation State
ExactWhat is the most common oxidation state of this element?
Chemical Calculations5
Molar Mass
ClosenessCalculate the molar mass of a compound
pH Calculator
ClosenessCalculate pH from hydrogen ion concentration
Molarity
ClosenessCalculate solution concentration from mass, molar mass, and volume
Stoichiometry
ClosenessCalculate molar ratios from balanced equations
Gas Laws
ClosenessBoyle's, Charles's, Combined, and Ideal gas law
Physics
15Mechanics5
Kinematics
ClosenessSolve motion equations: velocity, displacement, and acceleration
Force Calculator
ClosenessCalculate forces using Newton's laws
Energy
ClosenessCalculate kinetic energy, potential energy, and work
Gravity
ClosenessCalculate gravitational forces and field strength
Momentum
ClosenessMomentum, impulse, and collision calculations
Waves & Circuits5
Wave Speed
ClosenessCalculate wave speed, frequency, and wavelength
Circuit Solver
ClosenessSolve electrical circuits using Ohm's law and resistance networks
Sound Intensity
ClosenessCalculate sound intensity levels in decibels
Optical Lens
ClosenessThin lens equation and magnification calculations
Resonance Frequency
ClosenessLC circuits, pipe harmonics, and standing waves
Physical Constants5
Constants Quiz
ClosenessRecall fundamental physics constants
Speed of Light Problems
ClosenessApplications of the speed of light (c = 3×10⁸ m/s)
Gas Constant Problems
ClosenessIdeal gas law PV = nRT applications
Gravity Constant Problems
ClosenessGravitational force and orbital mechanics using G
Planck Constant Problems
ClosenessE=hf, photoelectric effect, and de Broglie wavelength
For Kids
Sign in to play — always free.
K-12 Math
120Grade 18
Counting On
ExactCount forward (or backward) from a given number.
Add It Up!
ExactAddition within 20. Build Grade 1 fact fluency.
Take Away!
ExactSubtraction within 20. Results always non-negative.
What's Missing?
ExactFind the unknown number in an equation.
Tens & Ones
ExactPlace value — tens, ones, and multiples of ten.
Bigger or Smaller?
ExactCompare two-digit numbers by typing the bigger (or middle) one.
How Long?
ExactLength word problems using whole-inch units.
What Time?
ExactTell time to the hour and half-hour.
Grade 28
Century Sums
ExactTwo-digit addition. Build Grade 2 fluency with and without regrouping.
Take From 100
ExactTwo-digit subtraction. Practice with and without regrouping.
Skip Counter
ExactFind the next number in a skip-counting sequence.
Hundreds Place
ExactPlace value — hundreds, tens, and ones within 1000.
Coin Counter
ExactCount coins and make change. Grade 2 money sense (2.MD.8).
Clock Reader
ExactTell time to the minute. Practice 5-minute intervals and elapsed time.
Even or Odd?
ExactPractice parity by typing the next even number, or finding the leftover when sharing.
Array Builder
ExactRows and columns — a bridge to multiplication.
Grade 38
Times Table Blitz
ExactMultiplication facts 0-10. Build Grade 3 times-table fluency.
Division Dash
ExactDivision facts within 100. Build Grade 3 fact fluency.
Story Solver
ExactSingle-step Grade 3 word problems (3.OA.3).
Fraction Numerator Recall
ExactSupplementary practice — recall the numerator of a fraction. Visual fraction representations come later.
Area Counter
ExactCalculate the area of rectangles and L-shapes.
Perimeter Patrol
ExactFind the perimeter of squares, rectangles, and polygons.
Time Traveler
ExactFigure out how much time has passed.
Round It!
ExactRound whole numbers to the nearest 10, 100, or 1000.
Grade 410
Multi-Digit Multiply
ExactMulti-digit multiplication. Build toward the standard algorithm.
Long Division
ExactDivision with 1- and 2-digit divisors. Quotients and remainders.
Factors & Multiples
ExactIdentify factors, compute multiples, count divisors, and test primality.
Equivalent Fractions
ExactFind equivalent fractions by scaling numerator and denominator.
Fraction Add & Subtract
ExactAdd and subtract fractions and mixed numbers with like denominators.
Fraction × Whole
ExactMultiply a fraction by a whole number. Type the resulting numerator.
Decimal Place Value
ExactConvert fractions to decimals and compare decimal values.
Angle Measure
ExactRead angles from a protractor and compute supplementary, complementary, and triangle sums.
Area & Perimeter
ExactCalculate area, perimeter, and find missing sides of rectangles.
Pattern Rules
ExactFind the next number in arithmetic, geometric, and alternating patterns.
Grade 58
Decimal Operations
ExactAdd, subtract, and multiply decimals. Build Grade 5 place-value fluency (5.NBT.7).
Fraction Multiply
ExactMultiply fractions and simplify. Type the numerator (5.NF.4).
Fraction Divide
ExactDivide fractions by whole numbers and whole numbers by unit fractions (5.NF.7).
Volume Cubes
ExactCalculate volumes of cubes and rectangular prisms (5.MD.3).
Powers of Ten
ExactMultiply and divide by powers of 10 (5.NBT.2).
Coordinate Grid
ExactRead coordinates, measure distances, and find perimeters on a grid (5.G.1 / 5.G.2).
Order of Operations
ExactEvaluate expressions using PEMDAS with +, −, ×, ÷ (5.OA.1). No exponents.
Fraction Blitz
ExactMixed fraction operations: add, subtract, multiply, divide (5.NF).
Grade 612
Ratio Reasoning
ExactUnit rates, equivalent ratios, and rate comparisons (6.RP.2).
Number Line Integers
ExactCompare, order, and place integers on a number line (6.NS.6-7).
Absolute Value
ExactEvaluate absolute values and use them to compare and find distances (6.NS.7).
Fraction Division
ExactDivide fractions using the reciprocal method (6.NS.1).
Expression Evaluation
ExactSubstitute values into algebraic expressions and evaluate (6.EE.2).
One-Step Equations
ExactSolve one-step equations with addition, subtraction, multiplication, and division (6.EE.7).
GCF & LCM
ExactFind the greatest common factor and least common multiple (6.NS.4).
Surface Area
ExactCalculate surface area of cubes, rectangular prisms, triangular prisms, and open boxes from unfolded nets (6.G.4).
Percentage Pro
ExactFind the part, percent, or whole in percentage problems (6.RP.3c).
Mean, Median, Mode
ExactFind the mean, median, mode, and range of datasets (6.SP.5).
Unit Conversions
ExactConvert between metric units of length, mass, and time (6.RP.3d).
Order of Operations (Grade 6)
ExactPEMDAS with exponents: evaluate expressions with powers (6.EE.1).
Grade 710
Proportion Solver
ExactSolve proportions using cross-multiplication and unit rates.
Percent Change
ExactCalculate percent increase, decrease, and successive changes.
Rational Ops
ExactOperations with negative fractions: add, subtract, multiply, divide.
Equation Solver
ExactSolve two-step linear equations for x.
Angle Pairs
ExactIdentify and calculate vertical, supplementary, and parallel-line angle relationships.
Circle Measures
ClosenessCalculate circumference and area of circles using π.
Probability Pop
ExactCalculate probabilities and express them as whole-number percentages.
Tip & Tax
ExactCalculate tips, taxes, and total prices.
Scale Master
ExactApply scale factors to find actual sizes, drawing sizes, and areas.
Inequality Crunch
ExactSolve one- and two-step inequalities and find the bounding integer.
Grade 810
Square & Root
ExactEvaluate square roots and cube roots of perfect squares and cubes.
Sci Notation
ExactRead, write, and operate with numbers in scientific notation.
Slope Finder
ExactFind the slope between two points on a coordinate plane.
Line Master
ExactSolve linear equations with one variable.
Pythagorean Pro
ClosenessApply the Pythagorean theorem to find missing sides and distances.
Exponent Rules
ExactApply product, quotient, power, and negative exponent rules.
Function Machine
ExactEvaluate linear functions and function compositions.
Volume: Cylinders
ClosenessCalculate the volume of cylinders, cones, and spheres using π.
Square Root Est.
ClosenessEstimate square roots of non-perfect-square integers.
Trend Predictor
ExactIdentify the linear trend in a scatter plot and predict missing values.
Grade 910
System Solver
ExactSolve systems of two linear equations to find x and y.
Quadratic Roots
ExactFind the roots of quadratic equations using factoring, the quadratic formula, and discriminant analysis.
Polynomial Power
ExactAdd, subtract, and multiply polynomials — identify a specific coefficient or term.
Factor It!
ExactFactor quadratic expressions by identifying binomial factors and missing values.
Growth & Decay
ExactApply exponential growth and decay models — doubling, percent growth, half-life, and rate identification.
Sequence Solver
ExactFind the next term or nth term in arithmetic and geometric sequences.
Radical Simplify
ExactSimplify radical expressions by finding perfect square factors and rationalizing denominators.
Domain & Range
ExactEvaluate functions, find domain restrictions for square roots and rational functions, and work with piecewise functions.
Compound Interest
ExactCalculate compound interest with annual, semi-annual, and quarterly compounding, and solve for time.
Region Finder
ExactGraph linear inequalities and identify points inside the solution region.
Grade 1010
Triangle Match
ExactAngle-sum, isosceles/equilateral properties, exterior-angle theorem, and congruent-triangle corresponding sides.
Similar Triangles
ExactApply scale factors, shadow proportions, and mirror problems to find missing sides in similar triangles.
Trig Ratios
ClosenessApply sine, cosine, and tangent to right triangles and angle-of-elevation word problems.
Circle Theorems
ClosenessApply circle geometry to compute circumferences, arc lengths, sector areas, and inscribed angles.
Coordinate Proof
ExactUse the distance formula, midpoint formula, and coordinate geometry to prove geometric properties on the coordinate plane.
Transformations
ExactApply reflections, translations, and rotations to triangles and determine image coordinates.
Area Composite
ClosenessDecompose L-shapes, T-shapes, and rect+semicircle figures to compute total area.
Volume Advanced
ClosenessCompute volumes of prisms, pyramids, cylinders, hemispheres, and composite solids.
Polygon Angles
ExactFind missing angles in quadrilaterals, compute interior angle sums, and determine side counts from exterior angles.
Combinatorics
ExactCount arrangements and selections using factorials, permutations, and combinations.
Grade 1115
Logarithm Estimation
ExactEvaluate logarithms by recognizing base-power patterns and applying the change-of-base formula.
Polynomial Division
ExactMaster polynomial division and apply the remainder theorem and factor theorem to find quotients and remainders.
Rational Equations
ExactSolve equations with variables in denominators — proportions, unit-fraction sums, extraneous solutions, and work-rate problems.
Trig Functions
ExactEvaluate sin/cos/tan and inverse trig at standard angles, including quadrant-aware identities.
Arithmetic Series
ExactSum arithmetic sequences using Gauss's formula and related identities to find totals, terms, and unknown parameters.
Geometric Series
ExactSum geometric sequences — finite sums, infinite convergent series, and bouncing-ball totals.
Complex Numbers
ExactAdd, subtract, multiply, and divide complex numbers and evaluate powers of i.
Matrix Operations
ExactCompute 2×2 matrix determinants, add and multiply matrices element-wise, and find inverse elements.
Standard Deviation
ClosenessCompute the population standard deviation of a small dataset, rounded to the nearest tenth.
Z-Score
ExactCompute z-scores and convert between percentile and z-score using the standard normal distribution.
Exponential & Logarithm Equations
ExactSolve equations involving exponents and logarithms by recognizing base-power structure and applying log rules.
Piecewise Functions
ExactEvaluate piecewise-defined functions at a given input and compose them with linear functions.
Trig Equations
ExactCount and find solutions of basic trigonometric equations in the interval [0°, 360°).
Polar Conversion
ExactConvert between rectangular (x, y) and polar (r, θ) coordinates.
Conic Sections
ExactIdentify parameters of circles, parabolas, and ellipses from their standard-form equations.
Grade 1211
Limits Intro
ExactEvaluate limits by direct substitution, factor-and-cancel, at infinity, and one-sided.
Derivative Rules
ExactApply power, sum, product, and chain rules to evaluate derivatives at a point.
Integral Basic
ExactEvaluate antiderivatives and definite integrals over integer bounds.
2D Vectors
ExactCompute magnitudes, sums, dot products, and angles between 2D vectors.
Probability Advanced
ExactCompute joint, conditional, and Bayes probabilities; expected value.
Normal Distribution
ExactApply the 68-95-99.7 empirical rule to compute normal-distribution probabilities and percentile scores.
Regression Line
ExactFind slopes, make predictions from a regression line, and compute the Pearson correlation coefficient.
Parametric Eval
ExactEvaluate parametric equations, eliminate parameters, and compute derivatives dx/dt.
Related Rates
ExactApply implicit differentiation to connected quantities: expanding circle, ladder, shadow, cone.
Optimization
ExactFind maxima and minima via calculus: fence area, box volume, cylinder surface, inscribed rectangle.
FTC Evaluate
ExactApply the Fundamental Theorem of Calculus to evaluate definite integrals (polynomial, trig, exponential).