Math Playground
Data

Tally marks

The fastest way to count by hand — strokes in groups of five.

Four vertical strokes, then a fifth slashed across them. Humanity's oldest counting hack, scratched on bones 40,000 years ago — and still the fastest way to count a crowd.

Tally marks are a quick way to keep a running count: one stroke per item, with every fifth stroke crossing the previous four to make easy-to-count groups of five.

Where you'll meet this

Counting votes, traffic, survey responses, inventory — anywhere you're tallying things in real time without a calculator.

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Tap to tally

Tap +1 for each item. Every fifth stroke slashes across the four to lock in a group of five.

Groups ×5
0
Leftover
0
Total
0

0 strokes — tap +1 to start.

How tallying works

  • Strokes 1-4 — four vertical lines: | || ||| ||||
  • Stroke 5 — diagonal across the four, completing a 'gate' (▦) worth 5.
  • Count by fives at the end — much faster than counting every stroke.
  • Leftover strokes (1-4) just add on at the end.
Your turn

A tally shows 6 complete gates plus 3 extra strokes. What's the count?

Try it

Why group in fives and not, say, threes or tens?

Five is a sweet spot: small enough that a group is instantly recognisable, large enough that you don't draw the crossing stroke too often. (It also matches one hand's fingers.)

Watch out

Forgetting the crossing stroke turns your tally into an unreadable picket fence. The whole point is the groups of five — without them you're back to counting one by one.

Different cultures group differently — some East Asian tallies build the character 正 (5 strokes); some European systems use a box-with-diagonal. All solve the same problem: counting fast and checkably.

Recap
  • One stroke per item; every fifth stroke crosses the previous four.
  • Count by fives at the end — fast and error-resistant.
  • Feeds straight into a frequency distribution.