Mate in 3

Mate in 3 is a puzzle where three moves of your own force checkmate. What sets it apart from mate in 2 is that the opponent gets to reply twice in the middle. You move, the opponent answers, you move again, the opponent answers again, and your third move mates. The tree runs one layer deeper, so fewer of these can be solved on sight and more of them have to be calculated to the end.

How to find a mate in 3

The principle is the same as mate in 2. The first move must be forcing, because only a forcing move narrows the opponent's replies. The difference is that in mate in 3 you have to chain two forcing moves back to back. The first move forces, the move after the reply forces again, and only then does the third move mate with no gap for the opponent to slip through. If one move in the middle is not forcing, the opponent gets a free tempo to defend and the calculation collapses.

That is why sacrifices show up so often in mate in 3. Removing an enemy piece that guards the mating square usually means giving up one of your own. In our database, 44.3% of the mate-in-3 puzzles also carry the sacrifice tag (counted July 2026) - about three times the rate for mate in 2 (14.4%).

Below is a position from our own puzzles (White to move). There is a mate in 3.

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The king is on f8, and White has a rook on d4, another on d1, and the queen on h4. The mating square is d8: a queen landing there checks along the 8th rank and takes away every escape square. The problem is that d8 is guarded by the rook on c8, with the rook on b8 backing it up. The defense is two layers deep, so one move can't break through, and that is exactly why this is a mate in 3 rather than a mate in 2.

Start with the natural-looking try. It is tempting to play Qd8+ with the strongest piece. But it falls apart at once: the c8 rook answers Rxd8, and White has given the queen away for nothing.

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The order has to be reversed. Give up the cheaper rooks first to peel the defense off one layer at a time, and keep the queen back for the final mate. The answer is Rd8+.

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Rd8+ is a check, so Black has to answer, and the only legal move here is Rxd8. The king has nowhere to go and there is nothing to interpose, so taking with the c8 rook is the only option. The first rook is given up to strip away the c8 defender.

Now the second rook follows it in. Rxd8+.

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The rook from d1 comes up to d8 with check again. Once more Black's only reply is Rxd8, this time with the b8 rook. Two rook sacrifices have cleared away both layers of the defense that guarded d8.

Now the queen we held back comes down. Qxd8#.

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Rd8+ Rxd8 Rxd8+ Rxd8 Qxd8#. Two rooks are sacrificed in turn to strip the defense, and the queen finishes on the third move. It takes three moves because the mating square was guarded twice: each forcing move removes one defender, and only then does the mate land.

If the forcing chain breaks, the calculation collapses

All three White moves here were checks, and each time Black had exactly one reply. Because the forcing moves were chained without a break, the tree never branched, and that is why it could be calculated all the way through.

Play a non-checking move somewhere in the middle and Black gets the chance to open an escape square for the king or shore up the defense. Qd8+ failed above for a different reason. It was a check, but spending the expensive queen first left no piece to deliver the final mate. In a mate in 3, it matters not only what you force but in what order you force it.

What our data says about mate in 3

Our puzzle database has 7,359 problems tagged as Mate in 3 (counted July 2026), far fewer than Mate in 2 (25,089) or Mate in 1 (23,166). Requiring one more forced move leaves far fewer qualifying positions.

The difficulty climbs a step too. Only 32% sit below rating 1200, well under Mate in 2's 54%. At the other end, 20% are rated 1900 or above (versus 6% for Mate in 2), so they reach well into the advanced range. If Mate in 2 clusters between beginner and intermediate, Mate in 3 is more of a bridge from intermediate to advanced.

The sacrifice tag co-occurs at 44.3% (Mate in 2 is 14.4%), and attraction (dragging the king onto the square you want) shows up 15.6% of the time. That supports a habit: look first for a move that gives up material to clear the opponent's defense.

For scale, the same query method counts mateIn2 at 25,089, mateIn1 at 23,166, mateIn3 at 7,359, mateIn4 at 1,378 and mateIn5 at 294 (the mate umbrella tag covers 57,285). Mate in 3 sits in the middle among the mate categories that fix a move count.

On the defending side

• Count the opponent's consecutive forcing moves to the end. If two checks can be chained near your king, that can be the start of a mate in 3. Blocking one check and relaxing is not enough.
• Be wary of sacrifices. When the opponent gives up a rook or queen, a forced mate is often behind it. The more a piece looks free, the more you should ask why it is being offered.
• Make a luft in advance. As with mate in 2, the forced sequence works when the king is boxed to a single square. Push a pawn to give it room, and the string of checks often breaks somewhere in the middle.

Further reading

• Lichess, puzzle theme Mate in 3 (the source of this site's puzzle tag). https://lichess.org/training/themes
• Statistics produced by scripts/analyze-mate-in-three-stats.mjs; the run is recorded in docs/data/mate-in-three-stats.md.

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Related: Mate in 2 · Back Rank Mate · All tactics