"surprising question" is correct and usable in written English.
You can use it to introduce a question that is unexpected or out of the ordinary. For example, "The boss posed a surprising question: 'What would happen if we offered free shipping on every order?'".
"What a well-developed and, you know, a surprising question!" She went on: "Anthony Weiner has joined the race for mayor, as is his right to do.
Eric asked a surprising question: "One thing I was wondering is if any of these paleontologists you've talked to have given their argument of why paleontology is important".
"Do you like this?" Sokolow asked him of her work the day he auditioned, a surprising question that she asked all dancers trying out for her company.
It turns out that none of these questions has an obvious answer: the nuances of translation and the cultural expectations placed upon it are seemingly unending.Then Mr Bellos asks a surprising question: could we do without it?
HAVE you ever wanted to commit murder?" asked the novelist Jane Stanton Hitchcock -- a surprising question coming from a woman sitting in a genteely appointed East Side duplex near Gracie Square with a commanding river view.
Because of arguments advanced by the family's lawyers, the court is facing a surprising question that ventures into complicated religious and cultural territory: Who should the courts consider to be the "family" of a Roman Catholic priest?
The coach asked me surprising questions.
You know exactly where you stand with this dish: it asks no surprising questions and offers no alarming answers.
I've been going around doing readings from a new novel ("Le Mariage"), and often, on these occasions, I've been asked surprising questions about its themes.
The show uses hard science, methodical studies, expert interviews, and, you know, facts to tackle fads, controversial trends, and sacred cows (is organic food actually better?) and looks for the science behind surprising questions like Does Race Exist?
O'Donnell agreed and said that his campaign team has been well aware of Romney's reaction to surprising questions, ever since his testy interview with Fox News host Bret Baier.
