The basics

Chess piece values: what each piece is worth

Updated · Sergei Tovmasian

Short answer

A pawn is 1, a knight 3, a bishop 3, a rook 5 and a queen 9. The king has no value because losing it loses the game. Holding both bishops is worth roughly half a pawn on top, and giving up a rook for a bishop or knight costs two points, which players call losing the exchange.

Your opponent’s bishop takes your knight on c6 and you have ten seconds to decide whether to be pleased. Three points for three points, so it is level, and you play on. That decision, and almost every other trade you will ever make, is settled by five numbers: pawn 1, knight 3, bishop 3, rook 5, queen 9.

Nothing in the FIDE Laws mentions them. They are a rule of thumb, built from what happens in millions of games, and Larry Kaufman’s statistical work on master results sharpened them a little: knight and bishop about 3.25 each, rook 5, queen 9.75, with an extra half a pawn for holding both bishops. Round them off and you are back to 1, 3, 3, 5, 9.

The king sits outside the scale. It is never traded, never captured, and if you lose it you have lost everything, so no number fits.

The exchange, and why it gets its own word

A rook for a bishop or a knight is not an even swap. It is five points for three, and the two-point difference comes up so often that players named it.

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White can grab the bishop with 1.Rxd5, but 1...Nxd5 answers it. Rook for bishop: White has lost the exchange and is two points down.

Winning the exchange is the other side of the same coin, and it is a perfectly good way to win a game slowly. What you must not do is treat it as small. Two points is a pawn and a bit, and in an endgame a rook against a knight with pawns on both wings is usually decisive.

The other trades worth knowing by heart: three pawns for a minor piece is roughly fair and often good if the piece was doing nothing, a queen for two rooks is nine against ten and favours the rooks once they have open files, and a queen for three minor pieces favours the pieces in the middlegame and the queen once the board empties.

When the numbers lie

They lie all the time, and here is the standard case.

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Nine points each: a minor piece and six pawns a side. The knight on d5 can never be chased off by a pawn; the bishop on c8 has no legal move at all, walled in by its own b7 and d7.

Count material and it is dead level, nine points each. Count useful moves and White is much better. A piece is worth what it does, and a bishop that cannot leave its own back rank is worth less than the pawn in front of it. That is the difference between a good and a bad bishop, and it is why strong players will hand over the exchange to get a knight onto a square like d5.

Three more places the count misleads you. A passed pawn on the seventh rank is worth far more than one, because it is one move from being a queen. A knight shut in the corner on h1 has two squares to its name and is doing less for you than a healthy pawn until it gets out. And a piece that is hanging is worth nothing at all, because it is about to belong to your opponent.

So use the numbers as a first check, then look at the board. Before every capture, add up what goes off on both sides, and before every move, ask what your opponent is attacking. That second question is the one that actually saves points: how to stop blundering turns it into a routine.

More questions

Is a bishop worth more than a knight?

On average, very slightly, and only because bishops come in pairs. A single bishop and a single knight are close enough to three points each that the position decides it: knights want closed positions with fixed pawns and outposts, bishops want open diagonals and pawns on both wings. Two bishops against bishop and knight is the real edge, about half a pawn.

How many points is the king worth in chess?

None, because it is never traded and never captured. Some coaches quote four points to describe how strong the king is as a fighting piece in an endgame, where it happily walks up the board and attacks pawns, but that number never enters a material count. Lose the king and the game is over, whatever the arithmetic says.

Is a queen worth two rooks?

By the count it is nine against ten, so the rooks are slightly ahead, and in practice that usually holds once the rooks find open files and can work together. Early on, with pieces still tangled and a king in the middle, the queen is often better because she does the job alone while the two rooks need time to coordinate.

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