How the solutions work · counted by a rules engine
What a typical checkmate solution looks like
Sample: 25,000 checkmate puzzles (1.3% of all 1,928,972).
47% need 1 solver move, 41.1% need 2 solver moves, 10.1% need 3 solver moves, 1.4% need 4 solver moves. Median rating: 914 for the shortest solutions, 1729 for the longest.
52% open with a queen move. The first move captures in 36% and gives check in 99.3%; 100% end in checkmate, 15.9% involve a sacrifice, 53.1% have White to move.
36%first move captures
99.3%first move gives check
100%end in checkmate
15.9%involve a sacrifice
How many moves does the solver need?
1 solver move
47% · median rating 914
2 solver moves
41.1% · median rating 1082
3 solver moves
10.1% · median rating 1333
4 solver moves
1.4% · median rating 1729
Which piece plays the key move?
Key move by a queen
52%
Key move by a rook
30.5%
Key move by a knight
8.3%
Key move by a bishop
5.3%
Key move by a pawn
3.7%
What does the solver win?
Captures nothing along the line
40%
Most valuable capture: pawn
22.8%
Most valuable capture: rook
22.4%
Most valuable capture: queen
6.2%
Most valuable capture: bishop
4.9%
Most valuable capture: knight
3.8%
Material balance along the whole line, counting every capture by both sides (pawn 1, minor piece 3, rook 5, queen 9):
No material gained (mating or positional)
52%
Up to 2 pawns’ worth
21.6%
3–4 points (about a minor piece)
7.2%
5–8 points (a rook or more)
14%
9 or more points (a queen’s worth)
5.2%
How much is left on the board?
28 or more pieces on the board
5.5%
21–27 pieces
31.7%
13–20 pieces
53.4%
12 pieces or fewer
9.4%
How it is counted: every puzzle in the sample is replayed move by move with a chess rules engine. A sacrifice means a piece that is captured on the very next ply and was worth more than what it captured itself (pawn 1, minor piece 3, rook 5, queen 9). Sample of 25,000 puzzles. Percentages are shares of the sample.
Where it happens
Where the key move lands
Where the solver’s first move ends, drawn from their own side (rank 1 is their back rank). Busiest squares: h7 (10.3%), f7 (9.8%), e8 (8.3%), g7 (7.6%), d8 (7.5%).
2.8
2.3
4.1
7.5
8.3
5.7
2.1
3.5
8
1
1.4
1.2
2.1
9.8
7.6
10.3
7
1.2
1.6
3.3
3.3
3.9
6
1.5
1.9
5
1.2
1
4
3
2
1
a
b
c
d
e
f
g
h
Counted from the same 25,000-puzzle sample. Squares under 1% are left blank.
In the chess glossary
What the glossary says
Checkmate
Often shortened to mate. A position in which a player's king is in check and the player has no legal move (i.e. cannot move out of or escape the check). A player whose king is checkmated loses the game.
Mate
Short for checkmate.
Where this page comes from
The text above is adapted from
“Glossary of chess” on Wikipedia,
by its contributors. We kept only the definitions of the terms listed, removed citations, diagrams and navigation templates, and left the wording otherwise unchanged — nothing here was written or rewritten by AI.
The original is published under
CC BY-SA 4.0,
so this section is published under the same licence. You may share and
adapt it, including commercially, as long as you credit the original and keep the same
licence.
Puzzle positions, ratings and move sequences on this page come from real rated games (CC0 data), not from Wikipedia; theme write-ups and difficulty guides
elsewhere on this site are Chess Puzzle Print's own original work and are not covered by
this licence.
Study positions
The most-solved checkmate puzzles, from each difficulty level. Play each one on the board, then open the answer for the full line.
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White to move · rating 1026 · solved 16,148 times
· Mate in 1. It ends in checkmate on g7 with the queen. The solver captures a pawn.Reveal line
Opponent's last move: Kh7
Solution: Qxg7#
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White to move · rating 1165 · solved 16,829 times
· Mate in 2. It ends in checkmate on b8 with the rook. The solver captures a rook.Reveal line
Opponent's last move: Rxb8
Solution: Qh6+ → Kg8 → Rxb8#
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White to move · rating 1178 · solved 17,356 times
· Mate in 3. It ends in checkmate on b6 with the queen. The solver captures a bishop.Reveal line
Opponent's last move: Bxd6
Solution: Qe3+ → Bc5 → Qxc5+ → Kb7 → Qb6#
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Black to move · rating 1219 · solved 13,728 times
· Mate in 1. It ends in checkmate on g1 with the queen.Reveal line
Opponent's last move: Rd8
Solution: Qg1#
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Black to move · rating 1391 · solved 7,442 times
· Mate in 1. It ends in checkmate on f2 with the rook. The solver captures a pawn.Reveal line
Opponent's last move: Rah7
Solution: Rxf2#
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Black to move · rating 1472 · solved 20,685 times
· Mate in 2. It ends in checkmate on h4 with the rook. It gives up the rook (Rxh3+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: Rg1
Solution: Rxh3+ → Kxh3 → Rh4#
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Black to move · rating 1507 · solved 7,112 times
· Mate in 2. It ends in checkmate on f3 with the queen. The solver captures a queen.Reveal line
Opponent's last move: dxe6
Solution: Qa8+ → Qf3 → Qxf3#
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White to move · rating 1640 · solved 3,583 times
· Mate in 2. It ends in checkmate on g4 with the knight.Reveal line
Opponent's last move: Kxh6
Solution: Qh4+ → Nh5 → Ng4#
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Black to move · rating 1655 · solved 3,557 times
· Mate in 2. It ends in checkmate on a4 with the rook. The solver captures a queen.Reveal line
Opponent's last move: Kxa2
Solution: Ra5+ → Qa4 → Rxa4#
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White to move · rating 1823 · solved 4,651 times
· Mate in 5. It ends in checkmate on f8 with the queen. The solver captures 3 pieces (bishop, pawn, rook).Reveal line
White to move · rating 2016 · solved 1,292 times
· Mate in 3. It ends in checkmate on a3 with the rook. It gives up the queen (Qxa7+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: Rc8
Solution: Nd7+ → Ka8 → Qxa7+ → Kxa7 → Ra3#
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White to move · rating 2147 · solved 1,291 times
· Mate in 2. It ends in checkmate on f6 with the bishop. It gives up the queen (Qxf8+) on the way. The solver captures 2 pieces (rook, bishop).Reveal line
Opponent's last move: Bf6
Solution: Qxf8+ → Nxf8 → Bxf6#
Positions and move sequences come from real rated games (CC0 data). Engine evaluations, where shown, are stored evaluations of the position (CC0).
Background reading
Checkmate
Checkmate (often shortened to mate) is any game position in chess and other chess-like games in which a player's king is in check (threatened with capture) and there is no possible escape. Checkmating the opponent wins the game. In chess, shogi, and other related games, the king is never actually captured. The player loses as soon as their king is checkmated. In formal games, it is usually considered good etiquette to resign an inevitably lost game before being checkmated. If a player is not in check but has no legal moves, then it is stalemate, and the game immediately ends in a draw. A checkmating move is recorded in algebraic notation using the hash symbol "#", for example: 34.Qg3#.
Examples
A mate may occur in as few as two moves on one side with all of the pieces still on the board (as in fool's mate, in the opening phase of the game), in a middlegame position (as in the 1956 game called the Game of the Century between Donald Byrne and Bobby Fischer), or after many moves with as few as three pieces in an endgame.
Etymology
The term checkmate is, according to the Barnhart Etymological Dictionary, an alteration of the Persian phrase "shāh māt" (شاه مات), which means "the King is helpless". Persian "māt" applies to the king but in Sanskrit "māta", also pronounced "māt", applied to his kingdom "traversed, measured across, and meted out" thoroughly by his opponent; "māta" is the past participle of "mā" verbal root. Others maintain that it means "the King is dead", as chess reached Europe via the Arab world, and Arabic māta (مَاتَ) means "died" or "is dead". Moghadam traced the etymology of the word mate. It comes from a Persian verb mandan (ماندن), meaning "to remain", which is cognate with the Latin word maneō and the Greek menō (μένω, which means "I remain"). It means "remained" in the sense of "abandoned" and the formal translation is "surprised", in the military sense of "ambushed". "Shāh" (شاه) is the Persian word for the monarch. Players would announce "Shāh" when the king was in check. "Māt" (مات) is a Persian adjective for "at a loss", "helpless", or "defeated". So the king is in mate when he is ambushed, at a loss, helpless, defeated, or abandoned to his fate. In modern Persian, the word mate depicts a frozen, open-mouthed, staring, confused, and unresponsive person—the words "stupefied" or "stunned" bear close resemblance. So a possible alternative would be to interpret mate as "unable to respond". A king being in mate (shah-mat) then means a king is unable to respond, which would correspond to there being no response that a player's king can make to the opponent's final move. This interpretation is much closer to the original intent of the game: not to kill a king but to leave him with no viable response other than surrender, which better matches the origin story detailed in the Shahnameh. In modern parlance, the term checkmate is a metaphor for an irrefutable and strategic victory.
History
In early Sanskrit chess (c. 500–700), the king could be captured and this ended the game. The Persians (c. 700–800) introduced the idea of warning that the king was under attack (announcing check in modern terminology). This was done to avoid the early and accidental end of a game. Later, the Persians added the additional rule that a king could not be moved into check or left in check. As a result, the king could not be captured, and mate was the only decisive way of ending a game. Before about 1600, the game could also be won by capturing all of the opponent's pieces, leaving just a bare king. This style of play is now called annihilation or robado. In Medieval times, players began to consider it nobler to win by checkmate, so annihilation became a half-win for a while, until it was abandoned.
Two major pieces
Two major pieces (queens or rooks) can easily force mate on the edge of the board using a technique known as the ladder mate. The process is to put the two pieces on adjacent ranks or files and force the king to the side of the board by using one piece to check the king and the other to cut it off from going up the board. In the illustration, White mates by forcing the Black king to the edge, one row at a time. The ladder mate can be used to mate with two rooks, two queens, or a rook and a queen.
Basic mates
There are four fundamental mates when one side has a bare king and the other side has only the minimum material needed to force mate, i.e. (1) one queen, (2) one rook, (3) two bishops on opposite-colored squares, or (4) a bishop and a knight. The king must help in accomplishing all of these mates. If the winning side has more material, mates are easier. The mate with the queen is the most common, and easiest to achieve. It often occurs when a pawn queens. A mate with the rook is also common, but a mate with two bishops or with a bishop and knight occurs infrequently. The two-bishop mate is fairly easy to accomplish, but the bishop and knight checkmate is difficult and requires precision.
Where this page comes from
The text above is adapted from
“Checkmate” on Wikipedia,
by its contributors. We removed reference markers, infoboxes, templates and embedded
media, and kept the prose sections otherwise intact — nothing here was written or
rewritten by AI.
The original is published under
CC BY-SA 4.0,
so this section is published under the same licence. You may share and
adapt it, including commercially, as long as you credit the original and keep the same
licence.
Puzzle positions, ratings and move sequences on this page come from real rated games (CC0 data), not from Wikipedia; theme write-ups and difficulty guides
elsewhere on this site are Chess Puzzle Print's own original work and are not covered by
this licence.