SFX's competition will run across two issues. The first part will appear in the magazine's March issue, on sale Wednesday February 13, and the second part in the April issue, on sale Wednesday March 12.
Both issues will contain a series of exhaustive questions covering Doctor Who's 40-year history, which readers must answer correctly to reveal an anagram of a phrase relevant to the Daleks.
Readers must then unlock this hidden phrase to be in with a chance of winning the competition and taking home the Dalek prize.
Dave Bradley, editor of SFX, said: "This is a wonderful opportunity for a reader to walk away with the ultimate Doctor Who status symbol. What fan of the series wouldn't want a life-size black Dalek for their home?
"But they'll have to prove that they deserve it with our two-part quiz. We know that our readers love 'Doctor Who', it's the best British sci-fi show on TV, and it's great to be able to offer them something unique in the pages of SFX magazine."