Karel Glogar, who had been instrumental in the early career of two-time World champion Ája Vrzáňová, identified her talent.

In 1967, Mašková won the silver medal at the European Championships in Ljubljana, Yugoslavia, finishing second to Gabriele Seyfert from East Germany (GDR).

She competed at the 1968 Winter Olympics in Grenoble, winning the bronze medal behind Peggy Fleming of the United States, who had already won two World titles, and Seyfert.

Ája Vrzáňová invited her to join a professional show, but Mašková decided to compete one more year.

Her tomb is at the Vyšehrad cemetery in Prague, decorated by a winged female torso made by Jan Štursa.