Poster artist, graduated from the Academy of Applied Arts in the late 1950s. His masters were such outstanding Hungarian artists as Antal Diósy, Endre Domanovszky and Miklós Borsos. He also studied painting at the Academy of Fine Arts under another János Kmetty.
Besides posters he designed several LP album covers in the 1960s and 1970s. He created many humorous and interesting posters for official propaganda and for campaigns for prevention from accidents, promoting healthcare, traffic rules and anti-alcoholism.
Sinka was a member of the famous group of artists, called "Papp-group". The founder, Gábor Papp was the most prominent representative of the so-called "Swiss style" in Hungary. It is interesting that the members of this artist group didn’t have common artistic ideas or a common style, but they were connected by their shared interest in outstanding artistic design. Such prominent artists as András Máté, Árpád Darvas, József Finta, Lajos Görög, Nándor Szilvásy, Crescencia Zelenák or Mátyás Sinka, above others, were members. This was the most important artist group in commercial graphic design during the 1960s.
Sinka's posters and other graphic designs have a great character, often evoking the visuality of cartoons. He is also talented at creating an impressive typography, and he also can employ several kinds of portrayals, contributing to his own style. Besides graphical activity, Sinka also painted landscapes in a traditional manner. For his artistic activity Sinka was honoured with the Munkácsy-award in 1963.