In 2018, Balabayeva won the Western Asia Youth Chess Championship in G14 age group.[2] In 2019, she won the Asian Youth Rapid Chess Championship in G14 age group.[3] In 2020, Balabayeva won the Kazakhstani Youth Chess Championship in G16 age group with a hundred percent result: 9 out of 9.[4] In 2021 she won the Asia Youth Chess Championship in G16 age group.[5]
In 2021, Balabayeva ranked in 2nd place in Kazakhstani Youth Chess Championship in G20 age group[6] and Kazakhstani Women's Chess Championship.[7] In this same year, she won the Online World Youth Chess Championship in Girls under 16 age group.
Balabayeva played for Kazakhstan in the Women's Chess Olympiads:
In 2021, she was awarded the FIDE Women International Master (WIM) title and received the FIDE Women Grandmaster (WGM) title three years later.