Math
21 gamesArithmetic, estimation, number theory, and statistics. Scroll down for quick reference tables to help you study.
Arithmetic5
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.
Estimation5
The Total Is
ClosenessWatch prices flash by. Estimate the total.
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.
Quick Reference
log₁₀(n) answers "what power of 10 equals n?" Key identity: log₁₀(a × b) = log₁₀(a) + log₁₀(b)
| n | log₁₀(n) | Exact? |
|---|---|---|
| 1 | 0 | exact |
| 2 | ≈ 0.3010 | approx |
| 3 | ≈ 0.4771 | approx |
| 4 | ≈ 0.6021 | approx |
| 5 | ≈ 0.6990 | approx |
| 6 | ≈ 0.7782 | approx |
| 7 | ≈ 0.8451 | approx |
| 8 | ≈ 0.9031 | approx |
| 9 | ≈ 0.9542 | approx |
| 10 | 1 | exact |
| 100 | 2 | exact |
| 1,000 | 3 | exact |