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Sudoku Maker (4×4 to 16×16, with Answer Key)

Printable sudokus with one solution, graded by the solving techniques needed.

More options

The same seed and settings always give the same puzzles. Change it for new ones.

Try an example: · ·

More about this tool

How it works

Make printable sudokus from 4 × 4 for young children to 16 × 16 for experts. Every puzzle is proven to have exactly one solution, its difficulty is graded by the techniques a person needs (singles, locked candidates, pairs, triples, X-wing), and answer-key pages follow. Up to six per page, as a true-size PDF.

  • A full grid is filled by a randomised depth-first search that always tries the cell with the fewest candidates. Clues are then removed in a seeded order (in pairs when symmetric); a removal is kept only when a counting solver still finds exactly one solution — a count that runs out of its node budget keeps the clue, so uniqueness is always proven.
  • Difficulty: a logic solver applies techniques from simple to hard — naked and hidden singles (easy), locked candidates (medium), naked and hidden pairs, naked triples and X-wing (hard). The grade is the hardest technique it needed; “expert” puzzles are unique but need more (chains or trial and error). For easy and medium a removal is also undone when the puzzle would need harder techniques.
  • Easy puzzles keep at least 45 % of the cells as clues, medium at least 32 %. Several digging orders are tried and the one that matches the requested level best is kept; the printed level is always the measured one.

Difficulty is measured by technique, not by solving time; people find different techniques hard. 16 × 16 grids have a time budget and may keep a few extra clues.

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How to use the Sudoku Maker (4×4 to 16×16, with Answer Key)

Make printable sudokus from 4 × 4 to 16 × 16 with one proven solution, a measured difficulty grade and answer-key pages, up to six per page.

What it is for

This tool prints sudokus for a classroom, a puzzle club or your own coffee break. You pick the grid size, the difficulty and how many puzzles go on a page; you get a true-size PDF with the puzzles first and the answer key after them, plus SVG and PNG of the first page.

Sizes run from 4 × 4 (boxes of 2 × 2, good for young children) through 6 × 6, 8 × 8 and the classic 9 × 9 to 12 × 12 and 16 × 16, which use the letters A–G after 9. Every puzzle has exactly one solution: a clue is only removed when a solver proves that no second solution appears.

Worked example

The default run makes four medium 9 × 9 sudokus with the seed sudoku-1. The summary reads "4 sudokus of 9 × 9 (medium) on 2 pages, each with exactly one solution": page 1 holds the four puzzles, page 2 the answer key. They keep 27 or 28 clues each, and the table lists every grid row by row with a dot for each empty cell.

For children, six easy 6 × 6 sudokus with six per page give 16 clues each — easy puzzles always keep at least 45 % of the cells. A hard 12 × 12 puzzle (seed big-1) has 54 clues. Even a 16 × 16 easy grid (seed guide-16) comes out in well under a second with 116 clues.

Change the seed and you get a new set; keep it and the same sheet comes back, in the tool and in Printshop.

How to read the result

  • Difficulty is measured, not guessed. A logic solver tries human techniques from simple to hard: naked and hidden singles (easy), locked candidates (medium), naked and hidden pairs, naked triples and X-wing (hard). The hardest one it needed is the grade. Expert means none of these finish the puzzle — it needs chains or trial and error.
  • requested shows what you asked for. If a puzzle could not be dug to that level, the printed grade is the real one and a warning says so.
  • clues is the number of given cells; puzzle and solution are the grids as text.
  • pages, puzzlePages and answerPages count the PDF pages; the files are the PDF, the first page as SVG and a PNG preview.

Tips and common mistakes

  • Print at 100 % ("actual size"); the page layout already fits A4 or Letter with margins.
  • Turn off Answer-key pages when you hand the PDF to the people who will solve it.
  • Symmetric clues gives the classic look (the pattern of givens turns into itself by 180°); switching it off sometimes allows fewer clues.
  • For beginners, start with 4 × 4 or 6 × 6 easy: those only need singles.
  • 16 × 16 sudokus have a time budget. If it runs out, the puzzle keeps a few extra clues and a warning tells you; it still has one solution.

FAQ

Why is my "hard" puzzle graded medium?

Random digging rarely needs the hard techniques. The tool tries several digging orders and keeps the closest match; if none reaches the level, it prints the honest grade.

Can I solve the puzzles on screen?

Yes. Open the result in Printshop and press Play on screen…: type into the cells, check your entries or show the solution.

Are killer or jigsaw sudokus possible?

Not yet — only classic sudokus with rectangular boxes.

How do I make different sheets for a group?

Use a different seed per sheet, for example class-1, class-2.

Guide last updated:

For scripts and AI agents

  • JSON API: POST https://printshopsudoku.usefulweb.site/api/v1/calculate (same calculation as this page)
  • Interface description: OpenAPI 3.1 · AI guide: llms.txt
  • MCP server (Streamable HTTP): https://printshopsudoku.usefulweb.site/mcp · tool name printshop_sudoku
Example request
curl -s -X POST https://printshopsudoku.usefulweb.site/api/v1/calculate \
  -H 'content-type: application/json' \
  -d '{"size":"9","difficulty":"medium","count":4,"perPage":"4","seed":"sudoku-1"}'
Feedback · ideas & bug reports welcome