Classic Sudoku
Place 1–9 once in every row, column and 3×3 box.
Tip: Start with hidden singles: pick a box and ask where each missing digit could go. Often only one cell is left.
· Full guideHard puzzles for a maths brain, in a cosy little town. Seventeen kinds of sudoku plus Calcudoku, Kakuro, Skyscrapers and Futoshiki, each with four difficulty ranks and a 30-puzzle collection. There are 99,999 puzzles per rank, and each has its own number, so you can replay one or share it with a friend. Every puzzle has exactly one solution, reachable by logic alone, and Professor Hoot is on hand with hints.
Daily puzzle
Two or three rule systems at once, at Theorem rank. The same puzzle for everyone today.
Pick up where you left off
Rank
Hoot’s Puzzles has seventeen kinds of sudoku and four other number puzzles, all free. Here are the rules for each, with a tip from Professor Hoot to get you started.
Place 1–9 once in every row, column and 3×3 box.
Tip: Start with hidden singles: pick a box and ask where each missing digit could go. Often only one cell is left.
· Full guideNo digits are given. The digits in each dashed cage add up to its total and never repeat within the cage.
Tip: Learn the small cage combinations: 3 in two cells is always 1 and 2, and 17 in two cells is always 8 and 9. Every row, column and box adds up to 45.
· Full guideDigits strictly increase along each thermometer, starting from the bulb.
Tip: A thermometer of n cells limits its bulb to at most 10−n and its tip to at least n.
· Full guideThe digits along an arrow add up to the digit in its circle. Digits may repeat on an arrow if the other rules allow.
Tip: A two-cell arrow adds to at least 3, so its circle can never be 1 or 2.
· Full guideA white dot joins consecutive digits; a black dot joins two digits where one is double the other. Every possible dot is shown.
Tip: A black-dot pair is 1-2, 2-4, 3-6 or 4-8, so neither cell can be 5, 7 or 9. Because every dot is shown, neighbours without a dot are neither consecutive nor doubles.
· Full guideAn X joins two digits that add to 10; a V joins two that add to 5. Every possible X and V is shown.
Tip: A cell on an X can never be 5, and a V pair is always 1-4 or 2-3.
· Full guideA clue outside the grid is the sum of the digits between the 1 and the 9 in that row or column.
Tip: A clue of 0 means the 1 and 9 are side by side; a clue of 35 means they sit at the two ends.
· Full guideNeighbouring digits along a green line differ by at least 5.
Tip: A 5 can never sit on a green line, and the digits along a line alternate between low (1–4) and high (6–9).
· Full guideBoth main diagonals also contain 1–9 once.
Tip: Treat each diagonal as an extra house and look for hidden singles along it.
· Full guideTwo cells a chess knight’s move apart can never hold the same digit.
Tip: Each placed digit rules out up to eight extra cells, often in the neighbouring boxes.
· Full guideEach purple line holds a set of consecutive digits, in any order, with no repeats.
Tip: A line of five or more cells always contains a 5.
· Full guideEach grey line reads the same from either end.
Tip: Mirror-image cells hold the same digit, so they can never share a row, column or box.
· Full guideAlong each line with a circle at both ends, every digit lies strictly between the two circled digits.
Tip: The two circles can never be consecutive digits, because something has to fit strictly between them.
· Full guideA clue outside the grid is the sum of the digits along the diagonal its arrow points to. Digits may repeat on a diagonal.
Tip: Short diagonals with very small or very large totals are the easiest place to start.
· Full guideEach of the four shaded 3×3 windows also contains 1–9 once.
Tip: The windows overlap the normal boxes, so a digit pinned in a window often settles a box as well.
· Full guideCells that share an edge never hold consecutive digits.
Tip: Next to a 5, a cell can be neither 4 nor 6. Placed digits remove their neighbours’ values from the cells beside them.
· Full guideTwo or three of the rule sets above, layered into one puzzle. A new daily Chimera appears every day.
Tip: Look for the rule that constrains the most cells and start there.
· Full guidePlace 1 to N once in every row and column of an N×N grid. The digits in each cage combine to its target with the operation shown (+, −, × or ÷). Digits may repeat in a cage if they are in different rows and columns.
Tip: Factorise multiplication cages first: in a 6×6, 15× over two cells can only be 3 and 5.
· Full guideFill each white cell with 1–9. Every run of white cells adds up to its clue, with no digit repeated in a run.
Tip: Some totals have only one combination: 16 in two cells is always 7 and 9, and 24 in three cells is always 7, 8 and 9.
· Full guidePlace towers of height 1 to N once in every row and column. A clue outside the grid says how many towers you can see from that side; taller towers hide shorter ones behind them.
Tip: A clue of 1 puts the tallest tower right at that edge. A clue equal to the grid size forces the towers to rise 1, 2, 3 and onwards in order.
· Full guidePlace 1 to N once in every row and column. Every inequality sign between two cells must hold, with the point facing the smaller digit.
Tip: A cell that is smaller than a neighbour can never hold the largest digit, and a chain a < b < c pushes a down and c up.
· Full guideYes. Every puzzle is free to play, with no accounts, no adverts and no tracking. Your progress is kept in your own browser.
Each type has four ranks. Lemma is a warm-up, Proposition needs an idea or two, Theorem is near-minimal and Conjecture uses the fewest clues and the hardest techniques.
Yes. Every puzzle is checked to have exactly one solution that can be reached by logic alone, and Professor Hoot’s hints show the next logical step.
There are 99,999 puzzles per type and rank. Each has its own number, so you can replay a puzzle or share it with a friend by its number.
Yes. Copy your progress code on one device and paste it on the other.
Rules, tips and worked examples from Professor Hoot. Start with the solving techniques guide or browse all guides.
Sudoku variants
Number puzzles
Playing on another website or device? Copy your progress code here, then paste it into the other copy of the game. Your solved puzzles, best times, daily streak and current puzzle come with you.
No accounts, no ads, no tracking. Your progress stays in this browser.
Rules
Drag to select several cells. Shift+digit for corner marks, Ctrl or Alt+digit for centre marks. Space cycles modes, arrows move, Ctrl+Z undoes. Double-click a digit to select all of them.
Rules
Drag to select several cells. Shift+digit for corner marks, Ctrl or Alt+digit for centre marks. Space cycles modes, arrows move, Ctrl+Z undoes. Double-click a digit to select all of them.