The game is called and was created by the digital agency Panlogic.
Players can choose from three drivers, a German disco dancing fan called Karl Funkenstein, a Brit called Bernard Hunter and a young Italian called Enzo Spirito di Vimto.
They must then race against the clock to score a top lap time. The site encourages users to sign up to the site and people can email the game to friends, challenging them to beat their times. It will also drive coverage to the Formula 1 site of .
Jim Cameron, online gaming manager at Telegraph.co.uk, said: "This is an innovative and enjoyable way to promote our new Pro Fantasy F1 game and to bring readers to both the Daily Telegraph and sport.telegraph.co.uk."
Panlogic has also created games for clients including Tesco, the BBC, publisher Penguin and Lastminute.com.
William Makower, CEO of Panlogic, said: "It's a very tongue-in-cheek way of targeting armchair Formula 1 enthusiasts and driving them to sign up for the fantasy game."
The Daily Telegraph is sponsoring ITV's coverage of this year's F1 season.
If you have an opinion on this or any other issue raised on Brand Republic, join the debate in the .