The biggest and strongest tournament Menchik played in was the Moscow tournament of 1935, which featured World Champions Botvinnik, Capablanca, and Lasker, as well as a host of elite players and future grandmasters like Flohr, Ragozin, Spielmann, Levenfish, Lilienthal, etc. She finished last, 20th out of 20 competitors, with a score of (+0−16=3).