Make 30 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 30. 30 cannot be made with + - × ÷ alone (the solver checked every expression) — you will need to stick 9s together (like 99) or use decimals (like .9).

Solutions using only + - × ÷

No expression made of four plain 9s and + - × ÷ reaches 30 — the solver checked every possible expression.

Solutions with concatenation and decimals

(9 + 9 + 9) / .9 = 30

Solutions with square roots, factorials, exponents

sqrt(9 + 9 × 99) = 30
9 + 9 + 9 + sqrt(9) = 30
(99 - 9) / sqrt(9) = 30
9 × 9 / .9 / sqrt(9) = 30
9 × 9 / sqrt(9) / .9 = 30

…and 449 more at this tier.

455 distinct solutions found in total, after removing trivial rearrangements.

Make 29 with four 9s · Make 31 with four 9s

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.

Four Nines — the daily puzzle
Four Nines solver — every target, solved
Four Fours — the 1881 original
Four Fours solver — including the impossible five
Make 24 solver — any four digits
Today's 24 — one new hand a day

Play the daily Four Nines puzzle, pick another number in the solver, or find more free math games.