Sonoo Yaqoob yesterday faced the allegations at the High Court in Glasgow.
He is said to have raped one female at a secondary school in the city's south side and at a cinema in 2011.
The 20-year-old also faces five rape allegations against another female - including at a hospital.
They are said to have taken place between 2012 and 2013.
Louise Arrol entered not guilty pleas on his behalf.
Judge Lady Rae set a trial for the High Court in Livingston on August 25.