Numbers, shapes & chance

Mathematics

The foundations underneath the rest of the site — trigonometry, a full geometry suite for 2D and 3D shapes, statistics & probability, a graphing calculator for plotting any function by hand, and ISO week numbers for the calendar arithmetic everyone gets wrong.

Countdown & Working Days

How long until any date in every unit at once — and how many working days that really is, with Easter and the weekend substitution rules computed rather than looked up.

computus · bank holidays · 260–262 weekdays a year
Open

Week Number Calculator

The ISO week for any date and the dates any week covers — plus which years have 53 weeks, and where the US Sunday-start convention gives a different answer.

ISO 8601 · week-year pairing · 53-week years
Open

Clock Angle Calculator

The angle between the hour and minute hands at any time, with the working shown — plus every moment the hands overlap, oppose or form a right angle.

|30H − 5.5M| · overlaps · right angles
Open

Scientific Calculator

Full keypad with memory and a tape — and it prints how it read your expression, so 2+3×4 shows as 2+(3×4) before you trust the 14.

precedence · DEG/RAD · ans
Open

Percentage Calculator

What is X% of Y, reverse percentages, increase and decrease — the same maths as typing into site search.

X% of Y · reverse · ±%
Open

Trigonometry & Pythagoras

Solve any right triangle from two known values, watch the unit circle trace sine and cosine live, and see the Pythagorean identity hold at every angle.

a² + b² = c² · sin, cos, tan
Open

Geometry — 2D & 3D

Area and perimeter for eight flat shapes, volume and surface area for eight solids — circles to torus, squares to spheres — each with a live, labelled diagram.

A, P, V, SA for 16 shapes
Open

A/B Test Sample Size Calculator

How many visitors a test really needs, the smallest effect yours could detect, and what peeking early does to the false-positive rate.

n ∝ 1 / effect²
Open

Dice Roller & Coin Toss

Roll d4 to d100 or flip coins as real 3D objects, with the exact distribution behind every roll — plus advantage, exploding dice, four dice that beat each other in a circle, and a chi-squared fairness test on your own rolls.

d20, advantage, non-transitive dice
Open

Statistics & Probability

Standard deviation, z-scores and normal-curve probability — plus a real Galton board where balls fall through pegs at genuine random and build the bell curve live, differently every run.

σ, z-score, Galton board
Open

Graphing Calculator

Plot up to eight functions at once, drag to pan, scroll or pinch to zoom, and trace live coordinates along any curve — a fast, offline, Desmos-style grapher.

y = f(x) · pan · zoom · trace
Open
More mathematics tools are on the way.
Exact mathematics, floating-point precision. Results are computed directly from standard formulas — the only rounding is display rounding.

Rules of thumb are approximations, offered to get you to the right order of magnitude fast. Check anything load-bearing against its source or the exact tool. Privacy · Terms

© 2026 Rules of Thumb · Runs entirely in your browser