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FIDE / USCF / Online Elo Math

Interactive Elo Rating Change & Tournament Performance Calculator

Compute exact logistic expected score E_A = 1 / (1 + 10^((R_B − R_A)/400)), compare Win/Draw/Loss rating deltas across K = 10, 20, 32, and 40, and calculate multi-round Tournament Performance Rating (TPR).

1. Single-Game Elo Rating Change Calculator (K = 10, 20, 32, 40)

K-Factor TierIf You Win (1.0)If Draw (0.5)If You Lose (0.0)New Rating (Selected Result)

2. Multi-Game Tournament Performance Rating (TPR) Mode

RoundOpponent EloResultExpected EAΔ Rating (Selected K)

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Interactive Chess Tactics Puzzle Board (8 Classic Motifs)

Solve 8 verified tactical puzzles directly in your browser: Royal Fork, Back-Rank Mate, Pin, Discovered Check, Skewer, Smothered & Anastasia's Mate, and Deflection.

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King Opposition & Square-of-the-Pawn Endgame Visualizer

Move the White Pawn, White King, and Black King on an interactive 8×8 board to highlight the Square of the Pawn and Direct, Distant, or Diagonal Opposition.

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Frequently Asked Questions

How is Expected Score calculated in the Elo rating system?

Arpad Elo's logistic curve defines Expected Score as E_A = 1 / (1 + 10^((R_B − R_A) / 400)). A 200-point rating advantage yields a 76.0% expected score; a 400-point advantage yields 90.9%.

Which FIDE K-factor applies to my rating?

FIDE uses K=40 for new players under 30 rated games and juniors under 18 rated below 2300, K=20 for established players rated below 2400, and K=10 once a player achieves 2400 Elo.

How is Tournament Performance Rating (TPR) computed?

TPR equals the average rating of your tournament opponents plus the rating difference d_p corresponding to your percentage score p: TPR = R_avg + 400 × log10(p / (1 − p)), capped at ±800 for 100% or 0% sweeps.

How do I convert tactical study into real tournament Elo gains?

Pair blunder-verification habits with structured endgame technique inside Brass Pawn Chess Trainer on iOS so you convert winning positions cleanly and hold tough draws.