In the book "The Hunger Games" by Suzanne Collins, there are several instances where Peeta's requests shock Katniss. One particular request that shocks her is when Peeta asks to be coached separately from her in the lead up to the Hunger Games.
Katniss is initially confused and hurt by Peeta's request, as she had assumed that they would work together as a team in the Games. She feels that Peeta is distancing himself from her and wonders if this is a ploy to gain sympathy from the sponsors or to gain an advantage in the Games.
However, as the story progresses, Katniss comes to understand Peeta's motivations and realizes that he is not trying to betray her but is simply trying to survive the Games in the best way he knows how. Over time, Katniss and Peeta develop a bond and a mutual respect for each other, which helps them to survive the brutal challenges of the Hunger Games.