Children's science fiction book series and tv show

I’m looking for a sf story that was broadcast on BBC children’s TV in the early 1980’s, probably as part of the long running Jackanory series. Based on what i recall of other events at the time of watching I think this was 1982.

The story is of a group of children who are either orphans or in a boarding school and who build a spaceship from the scrap of other ships and (I think) an asteroid. They launch it into space and have subsequent adventures.

One scene that particularly sticks in my mind was the oxygen failing on the ship and the children all falling asleep except for a girl who is bullied by a robot into fixing the problem.

I’m reasonably sure that the author of the stories would be British as it was an adaptation for the BBC. I also have a feeling that this was adapted from a series of children’s books with each volume being compressed into one episode. It ran Monday to Friday for one week. I vaguely recall a female narrator.

The story was interspersed with still drawings and acted scenes with children. I’m looking for the title of the story (stories) in either TV or book form and the author. Note, the description of acted scenes and drawn illustrations makes this sound like Captain Zep: Space Detective, another BBC show. It was not this one although they would have been made at similar times. Hope there is enough detail here for a answer. Thank you!