He completed the norms required for the Grandmaster title in Zvenigorod (2008), Moscow (2009) and Gyumri (2009).
[4] In 2009, he took 3rd place in the Asian zonal tournament for Chess World Cup in Tashkent.
In 2011, Jumabayev lost in the first round to Laurent Fressinet in Chess World Cup.
[6] In 2012, he shared 3rd place in the Mikhail Chigorin memorial in Saint Petersburg.
In 2024, Jumabaev won the Open Master Tournament at the Biel International Chess Festival.