He won two medals at the World Youth Chess Championship, taking silver in 1998 at Oropesa del Mar at under-12 level and bronze at the same venue a year later in the under-14 category.

In 1999, he was a member of the Ukrainian national youth team which won the U-16 Chess Olympiad in Artek, Ukraine.

[2] In January 2012, Volokitin won the Donostia Chess Festival's knockout tournament in San Sebastián, Basque Country, Spain, by defeating Viktor Láznička in the final.

[3][4] In 2015, he won the Ukrainian championship, held in Lviv, edging out on tiebreak Martyn Kravtsiv and Zahar Efimenko, after all three players scored 7 points from 11 games.

[5] In 2016, Volokitin won as clear first the 20th Vidmar Memorial, played as international invitation tournament in Bled, Slovenia.