Abdumalik began attending a chess school, along with her older brother, at six years and won her first trophy at a national tournament. In 2008, she won the girls' U8 section at both the Asian Youth Chess Championship and the World Youth Chess Championship. She would go on to win women's championship of Kazakhstan in 2016. Abdumalik has played on the Kazakhstani national team in the Women's Chess Olympiads (2014 and 2016) and in the Women's World Team Chess Championships of (2013 and 2015). In the Women's Asian Team Chess Championship in 2016, she won the team bronze medal and an individual silver playing board 2.