Creating puzzle…

Cryptarithm – Free Online Arithmetic & Logic Puzzles

Play a free online cryptarithm game: find the missing digits in vertical arithmetic, or work out which number each letter represents. Practise addition, subtraction, multiplication, and division at your own pace. No account required.

How to play

  1. Choose Digits or Letters, an operation, and a difficulty.
  2. Select a square and enter a digit. Use Pencil to keep track of possibilities.
  3. Make every row and intermediate step correct. Use Check whenever you want feedback.

A cryptarithm problem, step by step

  1. The sum has three digits. Its hundreds digit comes from a carry, so A = 1.
  2. In the tens column, B plus a carry must make 10. That gives B = 9 and C = 0.
  3. Check the units: 1 + 9 = 10, which writes 0 and carries 1. The complete sum is 1 + 99 = 100.

A = 1, B = 9, C = 0

Common questions

What is a cryptarithm puzzle?

A cryptarithm is a puzzle where digits in arithmetic operations are hidden or replaced by letters. These are also called cryptarithmetic puzzles; puzzles that form words are often called alphametics.

How are the random math problems generated?

The game creates random math puzzles on the server based on your chosen operation and difficulty. Some Hard letter puzzles are randomly selected from a curated word-puzzle collection.

Can digits repeat?

Yes in Digits mode. In Letters mode, matching letters share one digit and different letters must have different digits. A known numeric clue can also show a digit used by a letter.

Can a number start with zero?

A multi-digit number cannot start with zero. Zero can appear elsewhere, and all division puzzles here divide exactly without a remainder.

Are the puzzles uniquely solvable?

Newly generated puzzles are accepted only after the solver verifies a unique solution. All intermediate rows count, not just the final answer.

Which difficulty should children start with?

Start with Easy: every displayed number has at most two digits. Use addition or subtraction first, then explore multiplication and division when the underlying arithmetic is familiar.

Can I print cryptarithm questions for my class?

Yes. Download each question as a clean PNG to place in a worksheet. To share it online, open Share for a puzzle image with a QR code and a copyable link. The link recreates the same puzzle without your entries. Refreshing clears the current attempt.