How the solutions work · counted by a rules engine
What a typical mate in 3 solution looks like
Sample: 9,740 mate in 3 puzzles (5% of all 195,740).
100% need 3 solver moves. Median rating: 1325 for the shortest solutions, 1325 for the longest.
48% open with a queen move. The first move captures in 36.3% and gives check in 96.9%; 100% end in checkmate, 54.3% involve a sacrifice, 50.2% have White to move.
36.3%first move captures
96.9%first move gives check
100%end in checkmate
54.3%involve a sacrifice
How many moves does the solver need?
3 solver moves
100% · median rating 1325
Which piece plays the key move?
Key move by a queen
48%
Key move by a rook
30.6%
Key move by a knight
8.8%
Key move by a bishop
6.7%
Key move by a pawn
4.8%
Key move by the king
1.1%
What does the solver win?
Most valuable capture: rook
42.9%
Captures nothing along the line
14.8%
Most valuable capture: queen
14.2%
Most valuable capture: pawn
14%
Most valuable capture: bishop
8.6%
Most valuable capture: knight
5.6%
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)
53.2%
Up to 2 pawns’ worth
12.8%
3–4 points (about a minor piece)
9.7%
5–8 points (a rook or more)
14.8%
9 or more points (a queen’s worth)
9.5%
How much is left on the board?
28 or more pieces on the board
1.3%
21–27 pieces
24.8%
13–20 pieces
66.5%
12 pieces or fewer
7.4%
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 9,740 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: f7 (19.4%), h7 (6.3%), e8 (5.3%), g6 (5.2%), d8 (5%).
3.6
3.4
4.4
5
5.3
3.8
1.4
3.4
8
2
2
3.2
19.4
3.7
6.3
7
1.1
2
3.2
5.2
4.3
6
1
1.6
1.7
5
1.4
4
3
2
1
a
b
c
d
e
f
g
h
Counted from the same 9,740-puzzle sample. Squares under 1% are left blank.
In the chess glossary
What the glossary says
Forced mate
A sequence of two or more moves culminating in checkmate that the opponent cannot prevent.
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 mate in 3 puzzles, from each difficulty level. Play each one on the board, then open the answer for the full line.
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Black to move · rating 882 · solved 15,899 times
· Mate in 3. It ends in checkmate on f1 with the rook. It gives up the queen (Qf1+) on the way. The solver captures 2 pieces (pawn, rook).Reveal line
Opponent's last move: Nd6
Solution: Qxf2+ → Kh1 → Qf1+ → Rxf1 → Rxf1#
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White to move · rating 1131 · solved 12,314 times
· Mate in 3. It ends in checkmate on f8 with the queen. The solver captures 2 pieces (rook, queen).Reveal line
Opponent's last move: Rxe8
Solution: Qxe8+ → Qf8 → Bd5+ → Kh8 → Qxf8#
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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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White to move · rating 1337 · solved 5,945 times
· Mate in 3. It ends in checkmate on h8 with the queen. It gives up the rook (Rxh7+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: Kg7
Solution: Rxh7+ → Kxh7 → Rh1+ → Kg7 → Qh8#
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White to move · rating 1361 · solved 5,776 times
· Mate in 3. It ends in checkmate on h7 with the rook. It gives up the queen (Qxh6+) on the way. The solver captures 2 pieces (pawn, pawn).Reveal line
Opponent's last move: Kh8
Solution: Qxh6+ → gxh6 → Rxh6+ → Kg7 → Rh7#
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Black to move · rating 1433 · solved 5,604 times
· Mate in 3. It ends in checkmate on g1 with the rook.Reveal line
Opponent's last move: Qxh6
Solution: Rd1+ → Kf2 → Bc5+ → Kg3 → Rg1#
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Black to move · rating 1468 · solved 6,094 times
· Mate in 3. It ends in checkmate on d1 with the rook. It gives up the queen (Qxd1+) on the way. The solver captures 2 pieces (rook, bishop).Reveal line
Opponent's last move: dxe5
Solution: Rac8+ → Kb1 → Qxd1+ → Bxd1 → Rxd1#
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White to move · rating 1658 · solved 3,447 times
· Mate in 3. It ends in checkmate on g6 with the knight.Reveal line
Opponent's last move: gxh6
Solution: Qg6+ → Ng7 → Qf7+ → Kh8 → Ng6#
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Black to move · rating 1737 · solved 3,131 times
· Mate in 3. It ends in checkmate on b1 with the queen. The solver captures 2 pieces (rook, rook).Reveal line
Opponent's last move: Rcxb2
Solution: Bxb2+ → Rxb2 → Qc1+ → Rb1 → Qxb1#
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White to move · rating 1810 · solved 3,312 times
· Mate in 3. It ends in checkmate on e8 with the queen.Reveal line
Opponent's last move: Qc5
Solution: Qh7+ → Kf8 → Qh8+ → Ke7 → Qe8#
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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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Black to move · rating 2186 · solved 1,271 times
· Mate in 3. It ends in checkmate on g2 with the queen. The solver captures 3 pieces (rook, pawn, pawn).Reveal line
Opponent's last move: Qf3
Solution: Rxd1+ → Qxd1 → Qxf2+ → Kh2 → Qxg2#
Positions and move sequences come from real rated games (CC0 data). Engine evaluations, where shown, are stored evaluations of the position (CC0).