6
Calculation in Chess · Yatish Chandra Shukla

Seeing the Final Position Clearly

In this lesson you will learn

  • Why pieces seem to "stay behind" on their old squares
  • Simple exercises to build a clear picture of the board
  • How to check the position at the end of a line, square by square
  • Puzzles where the winning move appears only after moves you play in your head

Every board on this page is live. Move the pieces by tapping or dragging, click any move in the lines to see that position, and press ↺ to start again.

6.1 The Ghost Piece Problem

Here is a mistake almost every player makes. You calculate a line three moves deep. In your head, the knight has jumped from f3 to e5 and then to c6. But when you look at the final position, you still "see" a knight on f3 — because that is where it stands on the real board in front of you. You count it as a defender of e5 or of the king, and your whole calculation is wrong.

We can call this a ghost piece: a piece that you have moved in your head but that your eyes still see on its old square. The opposite also happens — a piece that has been captured in your line but that you still count as an attacker.

NoteGhost pieces are not a sign of weak calculation. They are a normal effect of looking at one board while thinking about another. The cure is training, and a simple checking routine.

6.2 A Checking Routine

When you reach the end of a line in your head, before you decide anything, do a quick inventory:

1. Which pieces have moved? Name each one and its new square: "My knight is on c6, his bishop is on g4."

2. Which pieces have been captured? Take them off your mental board. Say it: "The f6 knight is gone."

3. Which lines have opened or closed? A piece that moved may have uncovered a file or diagonal; a piece that arrived may have blocked one.

4. Now run the CCT scan in the final position — for both sides.

LessonLook away from the board for a moment when you reach the end of a line, and picture the new position on its own. Your eyes are less likely to put the ghost pieces back.

6.3 Training Exercises

Visualisation improves quickly with short, regular practice. Here are three exercises you can do anywhere, even without a board:

Square colours. Ask a friend (or yourself) to name a square — "e5", "b7", "g2" — and answer whether it is light or dark without looking. Then name the diagonals that pass through it.

Knight routes. Picture an empty board. How many moves does a knight need from b1 to h8? Name every square on the way.

Blindfold openings. Play through a short opening you know, such as 1.e4 e5 2.♘f3 ♘c6 3.♗b5 a6 4.♗a4 ♘f6, entirely in your head. Then answer: which squares does the bishop on a4 attack? Is the e4 pawn defended?

The puzzles in this chapter train the same skill. Each one shows a position before some moves are played. You must make those moves in your head, and only then find the winning idea in the new position.

6.4 Worked Examples

Study each example as if it were a puzzle: cover the solution, calculate, and only then read on.

Diagram 6.1White to move

Example 6.1

White plays 1.♘d2? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonLook for squares from which one piece attacks two targets at the same time — especially with check.
Diagram 6.2White to move

Example 6.2

White plays 1.♔e2? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonA pawn one step from promotion can be worth more than a rook. Count it as a piece in your calculation.
Diagram 6.3Black to move

Example 6.3

Black plays 1...♕f4? Without moving the pieces, picture the new position. What should White play?

Find the key move.

LessonChecks come first in the CCT scan because they leave the opponent the fewest replies.
Diagram 6.4White to move

Example 6.4

White plays 1.a4? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonA piece without a defender is the easiest target on the board. Before every move, ask which pieces are loose — yours and your opponent's.
Diagram 6.5White to move

Example 6.5

White plays 1.♔g1? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonKeep a score card of every capture, and stop the count only when the captures run out.
Diagram 6.6White to move

Example 6.6

White plays 1.♘f5? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonChecks come first in the CCT scan because they leave the opponent the fewest replies.
Diagram 6.7White to move

Example 6.7

White plays 1.f4? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonKeep a score card of every capture, and stop the count only when the captures run out.
Diagram 6.8White to move

Example 6.8

White plays 1.f3? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonA piece without a defender is the easiest target on the board. Before every move, ask which pieces are loose — yours and your opponent's.
Diagram 6.9White to move

Example 6.9

White plays 1.♕b6? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonMaterial can be given away when the result has been calculated to the end. Count at the end of the line, not after the first move.
Diagram 6.10White to move

Example 6.10

White plays 1.♕c1? Without moving the pieces, picture the new position. What should Black play?

Find the key move.

LessonMaterial can be given away when the result has been calculated to the end. Count at the end of the line, not after the first move.

Remember

  1. Beware of ghost pieces: pieces that have moved or been captured in your line, but that your eyes still see.
  2. At the end of a line, take inventory: moved pieces, captured pieces, opened lines.
  3. Then run the CCT scan in the new position, for both sides.
  4. Train a little every day: square colours, knight routes, short blindfold sequences.

Exercises · Lesson 6

Each diagram shows the position before the moves given under it. Play those moves in your head without touching the pieces, then solve the puzzle in the new position.

Solve these 30 exercises on the boardCreate a free account to check your moves, open hints and solutions, and save your progress.
Exercise 6.1Mate in 1
Black to move

Black plays 1...♘b8? Picture the new position. What should White play?

Exercise 6.2Find the move
Black to move

Black plays 1...♔f7? Picture the new position. What should White play?

Exercise 6.3Find the move
Black to move

Black plays 1...♗c2? Picture the new position. What should White play?

Exercise 6.4Find the move
White to move

White plays 1.exf5? Picture the new position. What should Black play?

Exercise 6.5Find the move
Black to move

Black plays 1...♖f5? Picture the new position. What should White play?

Exercise 6.6Find the move
White to move

White plays 1.♖f2? Picture the new position. What should Black play?

Exercise 6.7Find the move
White to move

White plays 1.♘a6? Picture the new position. What should Black play?

Exercise 6.8Find the move
White to move

White plays 1.♗e4? Picture the new position. What should Black play?

Exercise 6.9Find the move
White to move

White plays 1.♗a7? Picture the new position. What should Black play?

Exercise 6.10Find the move
Black to move

Black plays 1...O-O-O? Picture the new position. What should White play?

Exercise 6.11Mate in 2
Black to move

Black plays 1...♖e8? Picture the new position. What should White play?

Exercise 6.12Find the move
White to move

White plays 1.♘e4? Picture the new position. What should Black play?

Exercise 6.13Find the move
White to move

White plays 1.♔b1? Picture the new position. What should Black play?

Exercise 6.14Find the move
Black to move

Black plays 1...h6? Picture the new position. What should White play?

Exercise 6.15Find the move
White to move

White plays 1.c3? Picture the new position. What should Black play?

Exercise 6.16Find the move
Black to move

Black plays 1...♗e2? Picture the new position. What should White play?

Exercise 6.17Find the move
White to move

White plays 1.♘f5? Picture the new position. What should Black play?

Exercise 6.18Find the move
Black to move

Black plays 1...bxa6? Picture the new position. What should White play?

Exercise 6.19Find the move
Black to move

Black plays 1...♖a7? Picture the new position. What should White play?

Exercise 6.20Find the move
Black to move

Black plays 1...♖a7? Picture the new position. What should White play?

Exercise 6.21Find the move
White to move

White plays 1.♗d2? Picture the new position. What should Black play?

Exercise 6.22Find the move
White to move

White plays 1.♘e5? Picture the new position. What should Black play?

Exercise 6.23Find the move
White to move

White plays 1.♔a1? Picture the new position. What should Black play?

Exercise 6.24Find the move
Black to move

Black plays 1...g6? Picture the new position. What should White play?

Exercise 6.25Find the move
White to move

White plays 1.♔d2? Picture the new position. What should Black play?

Exercise 6.26Find the move
White to move

White plays 1.♖a1? Picture the new position. What should Black play?

Exercise 6.27Find the move
White to move

White plays 1.♔e2? Picture the new position. What should Black play?

Exercise 6.28Find the move
Black to move

Black plays 1...h5? Picture the new position. What should White play?

Exercise 6.29Find the move
White to move

White plays 1.♘d5? Picture the new position. What should Black play?

Exercise 6.30Find the move
White to move

White plays 1.♕b5? Picture the new position. What should Black play?