Real puzzles from rated games · median rating 1766 · solved 184,331,198 times
Difficulty 1600–1999
These are mate in 3 puzzles rated 1600–1999, the Challenging level on this site. They come from real rated games: 40,887 puzzles, median rating 1766, solved 184,331,198 times. The twelve below are among the most-solved of them; try each on the board, then read the numbers further down to see how solutions at this level are built.
How the solutions work · counted by a rules engine
What a typical mate in 3 solution looks like
Sample: 2,000 mate in 3 puzzles at challenging level (4.9% of all 40,887).
100% need 3 solver moves. Median rating: 1772 for the shortest solutions, 1772 for the longest.
40.2% open with a queen move. The first move captures in 36.2% and gives check in 95%; 100% end in checkmate, 53% involve a sacrifice, 55.5% have White to move.
36.2%first move captures
95%first move gives check
100%end in checkmate
53%involve a sacrifice
How many moves does the solver need?
3 solver moves
100% · median rating 1772
Which piece plays the key move?
Key move by a queen
40.2%
Key move by a rook
31.8%
Key move by a knight
10.6%
Key move by a bishop
9.8%
Key move by a pawn
5.8%
Key move by the king
1.8%
What does the solver win?
Most valuable capture: rook
26.2%
Most valuable capture: pawn
23.6%
Captures nothing along the line
22.3%
Most valuable capture: queen
10.7%
Most valuable capture: bishop
10.4%
Most valuable capture: knight
6.9%
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)
60.4%
Up to 2 pawns’ worth
15.6%
3–4 points (about a minor piece)
9.9%
5–8 points (a rook or more)
10.4%
9 or more points (a queen’s worth)
3.8%
How much is left on the board?
28 or more pieces on the board
2.3%
21–27 pieces
28.7%
13–20 pieces
61.9%
12 pieces or fewer
7.1%
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 2,000 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: f7 (10.4%), h7 (10.1%), h8 (7.4%), g7 (7.2%), g6 (6.1%).
1.2
1.5
2.5
2.7
3.6
3.9
1.8
7.4
8
1.1
1.1
1.5
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2.8
10.4
7.2
10.1
7
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6
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3
2
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a
b
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d
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f
g
h
Counted from the same 2,000-puzzle sample. Squares under 1% are left blank.
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 1604 · solved 2,316 times
· Mate in 3. It ends in checkmate on g1 with the queen. The solver captures 2 pieces (pawn, knight).Reveal line
Opponent's last move: Be7
Solution: Qxf2+ → Kh1 → Qf1+ → Ng1 → Qxg1#
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White to move · rating 1613 · solved 2,425 times
· Mate in 3. It ends in checkmate on e3 with the rook. The solver captures a pawn.Reveal line
Opponent's last move: Kh5
Solution: Rxh6+ → Kg4 → Rh4+ → Kf3 → Re3#
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Black to move · rating 1626 · solved 3,044 times
· Mate in 3. It ends in checkmate on h1 with the rook. It gives up the rook (Re1+) on the way. The solver captures a bishop.Reveal line
Opponent's last move: Rd3
Solution: Re1+ → Bxe1 → Rxe1+ → Kh2 → Rh1#
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White to move · rating 1628 · solved 2,443 times
· Mate in 3. It ends in checkmate on h5 with the queen. It gives up the rook (Rxh7+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: Ne5
Solution: Ne7+ → Kh8 → Rxh7+ → Kxh7 → Qh5#
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White to move · rating 1631 · solved 2,775 times
· Mate in 3. It ends in checkmate on g8 with the queen. It gives up the rook (Rf8+) on the way.Reveal line
Opponent's last move: Re6
Solution: Nh6+ → Kh8 → Rf8+ → Bxf8 → Qg8#
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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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White to move · rating 1665 · solved 2,606 times
· Mate in 3. It ends in checkmate on f6 with the queen. The solver captures a rook.Reveal line
Opponent's last move: f5
Solution: Nh6+ → Kh8 → Qe5+ → Rf6 → Qxf6#
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Black to move · rating 1709 · solved 2,390 times
· Mate in 3. It ends in checkmate on e1 with the rook. The solver captures a rook.Reveal line
Opponent's last move: Kg1
Solution: Kh3 → Re8 → Rd1+ → Re1 → Rxe1#
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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 1739 · solved 2,353 times
· Mate in 3. It ends in checkmate on h7 with the rook. The solver captures a pawn.Reveal line
Opponent's last move: Re2
Solution: Rfg3+ → Kf8 → Rg8+ → Ke7 → Rxh7#
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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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Black to move · rating 1893 · solved 2,746 times
· Mate in 3. It ends in checkmate on h5 with the rook. It gives up the queen (Qxh2+) on the way. The solver captures 2 pieces (pawn, queen).Reveal line
Opponent's last move: Rce1
Solution: Qxh2+ → Kxh2 → Rh8+ → Qh5 → Rxh5#
Positions and move sequences come from real rated games (CC0 data). Engine evaluations, where shown, are stored evaluations of the position (CC0).