"We had to bring something a wee bit different. You had to present yourself in a way that was original."
Carter said the family was challenged during filming.
"It challenged our family teamwork. You don't really get the opportunity to be put on the spot and work together as a family," she said.
"We're not allowed to say what the challenges were but they were a lot of fun ... they were emotional, physical and mental."
Carter said the family learned a lot during filming and were looking forward to February 25, when their episode aired.
"We had a great time together as a family. We realised success isn't always defined as being the winner. It was such a positive experience, it didn't matter where we placed," she said.
"We enjoyed ourselves and worked together and supported each other."
Carter wanted to encourage other families to apply for similar opportunities if they arose.
The show was filmed at accommodation provider the Eagles Nest, in the Bay of Islands. The series features four episodes with four families competing in each, followed by two semi-finals and a final.
XVenture Family Challenge - Hosted by Simon Barnett. - Premieres February 11 on Three at 5.30pm. - 16 families competing for $25,000. - Filmed at the Eagles Nest in Russell, the Bay of Islands. - The Carter family feature on February 25.