Real puzzles from rated games · median rating 946 · solved 21,360,955 times
Opening: Scandinavian Defense
These checkmate puzzles were set in games that began as the Scandinavian Defense: 21,753 puzzles, median rating 946, solved 21,360,955 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 the solutions are built.
How the solutions work · counted by a rules engine
What a typical checkmate solution looks like
Sample: 2,000 checkmate puzzles from Scandinavian Defense games (9.2% of all 21,753).
71.8% need 1 solver move, 22.8% need 2 solver moves, 4.8% need 3 solver moves, 0.6% need 4 solver moves. Median rating: 883 for the shortest solutions, 1910 for the longest.
65.5% open with a queen move. The first move captures in 49.2% and gives check in 99.8%; 100% end in checkmate, 9.8% involve a sacrifice, 46.4% have White to move.
49.2%first move captures
99.8%first move gives check
100%end in checkmate
9.8%involve a sacrifice
How many moves does the solver need?
1 solver move
71.8% · median rating 883
2 solver moves
22.8% · median rating 1129
3 solver moves
4.8% · median rating 1331
4 solver moves
0.6% · median rating 1910
Which piece plays the key move?
Key move by a queen
65.5%
Key move by a knight
12.4%
Key move by a rook
11.2%
Key move by a bishop
10.2%
Key move by a pawn
0.6%
What does the solver win?
Captures nothing along the line
40.5%
Most valuable capture: pawn
37.6%
Most valuable capture: rook
9.9%
Most valuable capture: knight
6.2%
Most valuable capture: bishop
2.9%
Most valuable capture: queen
2.9%
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)
47.9%
Up to 2 pawns’ worth
37.4%
3–4 points (about a minor piece)
5.6%
5–8 points (a rook or more)
7.4%
9 or more points (a queen’s worth)
1.7%
How much is left on the board?
28 or more pieces on the board
17.2%
21–27 pieces
76.3%
13–20 pieces
6.5%
12 pieces or fewer
0%
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: h7 (25.8%), f7 (11.8%), d8 (8.8%), g7 (8.3%), e8 (5.2%).
1.5
1.5
8.8
5.2
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8
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11.8
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25.8
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2
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a
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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 checkmate 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 920 · solved 2,218 times
· Mate in 1. It ends in checkmate on h2 with the queen.Reveal line
Opponent's last move: Bxg4
Solution: Qh2#
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White to move · rating 926 · solved 1,736 times
· Mate in 1. It ends in checkmate on f7 with the knight. The solver captures a pawn.Reveal line
Opponent's last move: Kh8
Solution: Nxf7#
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Black to move · rating 1195 · solved 1,963 times
· Mate in 1. It ends in checkmate on f3 with the knight.Reveal line
Opponent's last move: Bd2
Solution: Nf3#
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Black to move · rating 1221 · solved 4,867 times
· Mate in 2. It ends in checkmate on c1 with the rook. The solver captures a bishop.Reveal line
Opponent's last move: Nxe1
Solution: Rd1+ → Bc1 → Rxc1#
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White to move · rating 1221 · solved 2,584 times
· Mate in 1. It ends in checkmate on e6 with the queen.Reveal line
Opponent's last move: Qd4
Solution: Qe6#
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Black to move · rating 1295 · solved 2,906 times
· Mate in 1. It ends in checkmate on e1 with the rook.Reveal line
Opponent's last move: Bxa7
Solution: Re1#
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White to move · rating 1458 · solved 2,100 times
· Mate in 2. It ends in checkmate on d8 with the rook. The solver captures 2 pieces (pawn, rook).Reveal line
Opponent's last move: dxc4
Solution: Nxa7+ → Kb8 → Rxd8#
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White to move · rating 1660 · solved 1,114 times
· Mate in 2. It ends in checkmate on a6 with the bishop. It gives up the queen (Qxc6+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: g4
Solution: Qxc6+ → bxc6 → Ba6#
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White to move · rating 1727 · solved 1,618 times
· Mate in 2. It ends in checkmate on h3 with the rook. It gives up the queen (Qxh7+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: exf4
Solution: Qxh7+ → Kxh7 → Rh3#
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White to move · rating 1853 · solved 1,717 times
· Mate in 2. It ends in checkmate on a6 with the bishop. It gives up the queen (Qxc6+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: Qc3
Solution: Qxc6+ → bxc6 → Ba6#
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Black to move · rating 2046 · solved 381 times
· Mate in 1. It ends in checkmate on d3 with the queen.Reveal line
Opponent's last move: Qe1
Solution: Qd3#
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White to move · rating 2159 · solved 674 times
· Mate in 3. It ends in checkmate on g6 with the knight. It gives up the bishop (Bxh7+) on the way. The solver captures a pawn.Reveal line
Opponent's last move: Bxf6
Solution: Bxh7+ → Nxh7 → Qf7+ → Kh8 → Ng6#
Positions and move sequences come from real rated games (CC0 data). Engine evaluations, where shown, are stored evaluations of the position (CC0).