How the solutions work · counted by a rules engine
What a typical queen and rook tactics solution looks like
Sample: 2,353 queen and rook tactics puzzles (5.1% of all 45,904).
21.3% need 1 solver move, 52.3% need 2 solver moves, 20% need 3 solver moves, 4.9% need 4 solver moves, 1.4% need 5 or more solver moves. Median rating: 840 for the shortest solutions, 2177 for the longest.
69.2% open with a rook move. The first move captures in 20% and gives check in 85.8%; 56.2% end in checkmate, 14.2% involve a sacrifice, 48.9% have White to move.
20%first move captures
85.8%first move gives check
56.2%end in checkmate
14.2%involve a sacrifice
How many moves does the solver need?
1 solver move
21.3% · median rating 840
2 solver moves
52.3% · median rating 954
3 solver moves
20% · median rating 1391
4 solver moves
4.9% · median rating 1913
5+ solver moves
1.4% · median rating 2177
Which piece plays the key move?
Key move by a rook
69.2%
Key move by a queen
18.3%
Key move by a pawn
9.7%
Key move by the king
2.8%
What does the solver win?
Most valuable capture: rook
32.9%
Most valuable capture: queen
31.2%
Captures nothing along the line
29.3%
Most valuable capture: pawn
6.6%
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)
37.1%
Up to 2 pawns’ worth
8.1%
3–4 points (about a minor piece)
8.8%
5–8 points (a rook or more)
25.9%
9 or more points (a queen’s worth)
20.1%
How much is left on the board?
28 or more pieces on the board
0%
21–27 pieces
0.3%
13–20 pieces
53%
12 pieces or fewer
46.7%
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 2,353 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 (11.2%), e8 (9.9%), f8 (6.8%), c8 (6.8%), b8 (4.8%).
3.8
4.8
6.8
11.2
9.9
6.8
2.4
3.2
8
1
1.1
1.1
1.8
2
1.9
1.9
2.4
7
1
1.5
1.6
2.5
6
1.4
1.6
2.2
1.3
5
1.2
1.9
1.7
4
1
1
1.1
3
2
1
a
b
c
d
e
f
g
h
Counted from the same 2,353-puzzle sample. Squares under 1% are left blank.
Study positions
The most-solved queen and rook tactics 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 802 · solved 2,653 times
· Mate in 2. It ends in checkmate on a6 with the rook.Reveal line
Opponent's last move: Qg2
Solution: Rd1+ → Ka2 → Ra6#
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Black to move · rating 808 · solved 3,565 times
· 2 solver moves to find. The solver captures a queen.Reveal line
Opponent's last move: Ke4
Solution: Re6+ → Kf4 → Rxe3
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White to move · rating 1125 · solved 2,178 times
· 3 solver moves to find. The solver captures a rook.Reveal line
Opponent's last move: Re1
Solution: Qd6+ → Kxb5 → Qxc7 → Rh1+ → Kg3
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Black to move · rating 1259 · solved 3,478 times
· 2 solver moves to find. A quiet solution: no capture and no mate.Reveal line
Opponent's last move: Rxb7
Solution: h3+ → Kf2 → Qd4+
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Black to move · rating 1303 · solved 3,613 times
· Mate in 2. It ends in checkmate on h1 with the rook. The solver captures a pawn.Reveal line
Opponent's last move: Kxh2
Solution: hxg2+ → Kg1 → Rh1#
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Black to move · rating 1314 · solved 3,431 times
· Mate in 2. It ends in checkmate on c1 with the rook.Reveal line
Opponent's last move: Rxf7
Solution: g3+ → Kg1 → Rc1#
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Black to move · rating 1371 · solved 5,188 times
· 4 solver moves to find. The solver captures a queen.Reveal line