Real puzzles from rated games · median rating 814 · solved 25,696,250 times
Difficulty 600–1199
These are opera mate puzzles rated 600–1199, the Foundation level on this site. They come from real rated games: 43,249 puzzles, median rating 814, solved 25,696,250 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 opera mate solution looks like
Sample: 2,000 opera mate puzzles at foundation level (4.6% of all 43,249).
54.1% need 1 solver move, 42.6% need 2 solver moves, 3.2% need 3 solver moves. Median rating: 776 for the shortest solutions, 907 for the longest.
90.5% open with a rook move. The first move captures in 21.4% and gives check in 100%; 100% end in checkmate, 13.4% involve a sacrifice, 52.4% have White to move.
21.4%first move captures
100%first move gives check
100%end in checkmate
13.4%involve a sacrifice
How many moves does the solver need?
1 solver move
54.1% · median rating 776
2 solver moves
42.6% · median rating 846
3 solver moves
3.2% · median rating 907
Which piece plays the key move?
Key move by a rook
90.5%
Key move by a queen
6.4%
Key move by a bishop
2.4%
What does the solver win?
Captures nothing along the line
59%
Most valuable capture: rook
25.6%
Most valuable capture: pawn
5.6%
Most valuable capture: bishop
3.8%
Most valuable capture: knight
3.6%
Most valuable capture: queen
2.5%
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)
71.2%
Up to 2 pawns’ worth
6%
3–4 points (about a minor piece)
5.9%
5–8 points (a rook or more)
14.6%
9 or more points (a queen’s worth)
2.3%
How much is left on the board?
28 or more pieces on the board
0.4%
21–27 pieces
22.4%
13–20 pieces
65.2%
12 pieces or fewer
12%
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: d8 (18.4%), e8 (16.2%), f8 (14.6%), h8 (8.8%), c8 (5.9%).
2.5
2.4
5.9
18.4
16.2
14.6
4.8
8.8
8
2.6
1.8
4.4
7
1.1
2.1
6
5
1.5
4
1.2
3
2
1
a
b
c
d
e
f
g
h
Counted from the same 2,000-puzzle sample. Squares under 1% are left blank.
Study positions
The most-solved opera mate 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 719 · solved 3,099 times
· Mate in 2. It ends in checkmate on d1 with the rook. The solver captures a knight.Reveal line
Opponent's last move: Bxf5
Solution: Re1+ → Nd1 → Rxd1#
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Black to move · rating 775 · solved 2,621 times
· Mate in 2. It ends in checkmate on h1 with the rook.Reveal line
Opponent's last move: Qc5
Solution: Re1+ → Kh2 → Rh1#
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White to move · rating 932 · solved 2,531 times
· Mate in 2. It ends in checkmate on f8 with the rook. The solver captures a rook.Reveal line
Opponent's last move: c1=Q
Solution: Re8+ → Rf8 → Rxf8#
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Black to move · rating 945 · solved 2,998 times
· Mate in 1. It ends in checkmate on f1 with the rook.Reveal line
Opponent's last move: Rexc2
Solution: Rf1#
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Black to move · rating 1021 · solved 2,254 times
· Mate in 1. It ends in checkmate on g1 with the rook.Reveal line
Opponent's last move: Kg2
Solution: Rg1#
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White to move · rating 1078 · solved 2,719 times
· Mate in 3. It ends in checkmate on f8 with the rook. It gives up the bishop (Bxd5+) on the way. The solver captures 2 pieces (queen, pawn).Reveal line
Opponent's last move: Qxf2+
Solution: Rxf2 → cxd5 → Bxd5+ → Rxd5 → Rf8#
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Black to move · rating 1105 · solved 2,669 times
· Mate in 2. It ends in checkmate on h2 with the rook. It gives up the rook (Rh2+) on the way. The solver captures a rook.Reveal line
Opponent's last move: Kh3
Solution: Rh2+ → Rxh2 → Rxh2#
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Black to move · rating 1147 · solved 3,320 times
· Mate in 2. It ends in checkmate on c1 with the rook.Reveal line
Opponent's last move: Rf6
Solution: Re1+ → Kc2 → Rc1#
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White to move · rating 1152 · solved 3,115 times
· Mate in 1. It ends in checkmate on h7 with the rook.Reveal line
Opponent's last move: Re8
Solution: Rh7#
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Black to move · rating 1158 · solved 2,812 times
· Mate in 1. It ends in checkmate on a6 with the rook.Reveal line
Opponent's last move: Ka5
Solution: Ra6#
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Black to move · rating 1164 · solved 2,533 times
· Mate in 2. It ends in checkmate on c2 with the rook. It gives up the queen (Qxc2+) on the way. The solver captures 2 pieces (pawn, queen).Reveal line
Opponent's last move: Bxh8
Solution: Qxc2+ → Qxc2 → Rxc2#
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White to move · rating 1191 · solved 2,674 times
· Mate in 2. It ends in checkmate on d8 with the rook. It gives up the queen (Qd8+) on the way. The solver captures a rook.Reveal line
Opponent's last move: Nc5
Solution: Qd8+ → Rxd8 → Rxd8#
Positions and move sequences come from real rated games (CC0 data). Engine evaluations, where shown, are stored evaluations of the position (CC0).